What is the approximate sum of the lengths of the two sidewalks, shown as dotted lines? 21.2 m 27.5 m 32.5 m 38.2 m

Answers

Answer 1

The question is incomplete. The complete question is :

A 15-meter by 23-meter garden is divided into two sections. Two sidewalks run along the diagonal of the square section and along the diagonal of the smaller rectangular section. What is the approximate sum of the lengths of the two sidewalks, shown as dotted lines? 21.2 m 27.5 m 32.5 m 38.2 m

Solution :

From the figure, we apply the Pythagoras theorem.

Finding the lengths of the two side walks :

1st Step

In the square section,

The length of the diagonal is given by :

[tex]$D=\sqrt{15^2+15^2}$[/tex]

    [tex]$=\sqrt{450}$[/tex]

   = 21.21 m

2nd step

In the rectangular section,

The length of the diagonal is given by :

[tex]$D=\sqrt{15^2+8^2}$[/tex]

    [tex]$=\sqrt{289}$[/tex]

   = 17 m

3rd step

Therefore, the total length of the two diagonals of the two section is

 =  17 + 21.21

 = 38.21 m

or 38.2 m

What Is The Approximate Sum Of The Lengths Of The Two Sidewalks, Shown As Dotted Lines? 21.2 M 27.5 M
Answer 2

Answer: it's D (38.2nm)

Step-by-step explanation:


Related Questions

7x-12+3x+28=180 degrees
Please help ASAP

Answers

Answer:

180 degrees

Step-by-step explanation:

i think im not sure???????                                                                                                                      i hope im right

you put it in the question

Answer = 180


7x+3x =10x
-12+28=16
So,
10x+16=180
10x=164
x

A decision problem X is self-solvable if X = L(MX) for some polynomial-time oracle TM M, whose oracle queries are always strictly shorter than its input. In other words, when M is executed on an input of length n, it queries its oracle only on strings of length less than n. This is a strange situation, where M has oracle access to the problem that it is trying to solve. But when M is trying to determine whether x € X, it cannot simply query its oracle on x for the answer. ከ. (a) Show that TQBF is self-solvable. Be explicit about what assumptions are you making about how for- mulas are encoded into bit strings. (b) Prove that if L is self-solvable then L E PSPACE.

Answers

(a) The TQBF oracle used by M satisfies the condition for self-solvability.

It can handle formulas of length strictly shorter than the input length, ensuring that M's oracle queries are always strictly shorter than its input.

To show that TQBF (True Quantified Boolean Formula) is self-solvable, we need to demonstrate that there exists a polynomial-time oracle Turing machine (TM) M that can solve TQBF using an oracle for TQBF.

Assuming that formulas in TQBF are encoded into bit strings in a standard way, we can construct the TM M as follows:

On input x (the encoded TQBF formula), M starts by generating all possible truth assignments for the variables in the formula.

For each truth assignment, M constructs the corresponding quantified Boolean formula and queries the TQBF oracle with this formula.

If the oracle returns "true" for any truth assignment, M accepts x. Otherwise, if the oracle returns "false" for all truth assignments, M rejects x.

Hence, TQBF (True Quantified Boolean Formula) is self-solvable.

(b) If a language L is self-solvable, it implies that L is in PSPACE (polynomial space complexity class).

To prove that if L is self-solvable, then L is in PSPACE, we can show that a polynomial-time oracle TM M with oracle access to L can be simulated by a polynomial-space Turing machine.

Let M' be a polynomial-space Turing machine that simulates M with oracle access to L. Since L is self-solvable, M' can query the oracle on inputs shorter than its own input.

We can construct a polynomial-space Turing machine M'' that simulates M' without the need for an oracle. M'' uses its own polynomial space to simulate the computation of M'. Whenever M' queries the oracle on an input, M'' runs its own simulation for that input length using its available space.

Since M'' only requires polynomial space and simulates the behavior of M', it follows that L is in PSPACE.

To know more about True Quantified Boolean Formula refer here:

https://brainly.com/question/29846003#

#SPJ11

Which function would be produced by a horizontal stretch of the graph of y = sqrt(x) followed by a reflection in the x - axis ?

Answers

Answer:

the answer is the first one

Step-by-step explanation:

Explanation: be im smart

Function transformation involves changing the form of a function

A function that could represent the transformed function is function (c) [tex]f(x) = -\sqrt{\frac 12 x}[/tex]

The equation of the function is given as:

[tex]f(x) = \sqrt x[/tex]

The rule of horizontal stretch is:

[tex](x,y) \to (ax,y)[/tex]

Where:

[tex]0 < a < 1[/tex]

Take for instance:

[tex]a = \frac 12[/tex]

So, we have:

[tex]f(x) = \sqrt{\frac 12 x}[/tex]

Next, the function is reflected in across the x-axis.

The rule of this transformation is:

[tex](x,y) \to (x,-y)[/tex]

So, we have:

[tex]f(x) = -\sqrt{\frac 12 x}[/tex]

Hence, a function that could represent the transformed function is function (c)

Read more about function transformation at:

https://brainly.com/question/1548871

The mean salary at a local industrial plant is $28,600$⁢28,600 with a standard deviation of $4400$⁢4400. The median salary is $25,300$⁢25,300 and the 61st percentile is $29,000$⁢29,000.

Step 2 of 5:

Based on the given information, determine if the following statement is true or false.

Joe's salary of $35,060$⁢35,060 is 1.401.40 standard deviations above the mean.

Answers

The statement Joe's salary of $35,060$⁢35,060 is 1.401.40 standard deviations above the mean is false.

To determine if the statement is true or false, we need to calculate the number of standard deviations Joe's salary of $35,060 is above the mean.

Given:

Mean salary = $28,600

Standard deviation = $4,400

Joe's salary = $35,060

To calculate the number of standard deviations above the mean, we can use the formula:

Number of standard deviations = (X - μ) / σ

Where:

X is the value we want to compare (Joe's salary)

μ is the mean

σ is the standard deviation

Plugging in the values, we have:

Number of standard deviations = (35,060 - 28,600) / 4,400

= 6,460 / 4,400

≈ 1.4727

Therefore, Joe's salary of $35,060 is approximately 1.4727 standard deviations above the mean, not 1.40.

The statement is false.

Learn more about standard deviations:

https://brainly.com/question/28108712

#SPJ4

A pyramid with a rectangular base has a volume of 60 cubic feet and a height of 6 feet. The width of the rectangular base is 4 feet. Find the length of the rectangular base.

Answers

Answer:

length=2.5feet

Step-by-step explanation:

Volume =Base area * height

6/60=(4*length) * 6/6

10=4length

length=10÷4

=2.5feet

The length of the pyramid is 7.5 feet.

What is a pyramid with rectangular base?

'A rectangular pyramid is a type of pyramid with the base shaped like a rectangle but the sides are shaped like a triangle. A pyramid usually has triangular sides but with different bases.'

According to the given problem,

Volume = 60 cubic feet

Height = 6 feet

Width of rectangular base = 4 feet

Let the length be x,

Volume =[tex]\frac{L * W * H}{3}[/tex]

⇒ 60 = [tex]\frac{x*6*4}{3}[/tex]

⇒ 180 = 24x

⇒ x = [tex]\frac{180}{24}[/tex]

⇒ x =[tex]\frac{45}{6}[/tex] = 7.5

Hence, we can conclude that the value of the length of the rectangular base is 7.5 feet.

Learn more about rectangular pyramid here: https://brainly.com/question/16602334

#SPJ2

please help it would be reallyyyy nice tysmmwmsmssmm

Answers

Answer:

I think it is 30

Step-by-step explanation:

Answer:

x = 30

Step-by-step explanation:

The angles shown are vertical angles

If you didn't know vertical angles are congruent

That being said we create an equation to solve for x

(because vertical angles are congruent) 104 = 3x + 14

now that we have created an equation we want to solve for x

Step 1 subtract 14 from each side

104 - 14 = 90

14 - 14 cancels out

now we have 90 = 3x

step 2 divide each side by 3

90/3=30

3x/3=x

we're left with x = 30

A group of students were asked if they like Math class and if they like English class.
Partial results are shown in the table.
Like Math
Don't Like Math
Like English
х
9
Don't Like English
26
у
.
Of the students who like math, 40% don't like English.
Of the students who don't like math, 75% don't like English
What is the value of x + y?
A. 35
B. 57
C. 65
D. 66

Answers

a if that’s wrong i’m vv sorry
Yea I’m pretty sure the answer A

Select the answer closest to the specified areas for a normal density.
(a) The area to the left of 32 on a N(45, 8) distribution. A. 0.948
C. 0.896 D. 0.104
B. 0.052
B. 0.97
(b) The area to the right of 12 on a N(9.4, 1.2) distribution. A. 0.985 C. 0.03 D. 0.015
(c) The area between 43 and 100 on a N(75, 15) distribution: A 0.984 C. 0.936 D. 0.64

Answers

The closest answer for each area is B. 0.052, D. 0.015, and C. 0.936, respectively.

(a) The area to the left of 32 on a N(45, 8) distribution. The area to the left of 32 on a N(45, 8) distribution is given by: P(Z < (32 - 45)/8)P(Z < -1.625)= 0.052, approximately. So, the closest answer is B. 0.052.

(b) The area to the right of 12 on a N(9.4, 1.2) distribution. The area to the right of 12 on a N(9.4, 1.2) distribution is given by: P(Z > (12 - 9.4)/1.2)P(Z > 2.166)= 1 - P(Z < 2.166)= 1 - 0.985= 0.015. So, the closest answer is D. 0.015.

(c) The area between 43 and 100 on a N(75, 15) distribution. The area between 43 and 100 on a N(75, 15) distribution is given by: P((43 - 75)/15 < Z < (100 - 75)/15)P(-1.5333 < Z < 1.6666)= P(Z < 1.6666) - P(Z < -1.5333)= 0.9525 - 0.0624= 0.8901. So, the closest answer is C. 0.936.

In conclusion, the closest answer for each area is B. 0.052, D. 0.015, and C. 0.936, respectively.

know more about closest answer

https://brainly.com/question/31975338

#SPJ11

3) Arjun was shopping for avocados, which were listed $0.90 each. He brought six avocados to the checkout lane, where he learned that there was a sale on avocados. With the discount, he was charged $4.86 before tax. What was the percent discount on each avocado?​

Answers

Answer:

Step-by-step explanation:

Total discount = 6×$0.90 - $4.86 = $0.54

discount each = $0.54/6 ≈ $0.09

$0.09/$0.90 = 0.10 = 10%

Express 5: 8 in the ratio n : 1

Answers

Answer:

0.625 : 1

Step-by-step explanation:

5 : 8

→ Divide both sides by 8 to get it to 1

(5 ÷ 8) : (8 ÷ 8)

→ Simplify

0.625 : 1

will give brainiest + 40 points
Which graph represents the function p(x) = |x – 1|?

Answers

Answer:

I think it's the second I e at the top

What’s the volume of the prism

Answers

Answer:

384 cubic inches (in^3)

Step-by-step explanation:

volume = length * width * height

So find the volume of the large rectangle of the prism, then find the volume of the small rectangle of the prism. Add the two volumes together and the sum is your final answer.

I would appreciate Brainliest, but no worries.

Let X is uniformly distributed over (0,1) and Y is exponentially distributed with parameter lambda = 2. Furthermore assume X and Y are independent. The cumulative distribution of Z = X + Y is P{Z lessthanorequalto a} = P{X + Y lessthanorequalto a} =___________________________for 0 < a < 1 P{Z lessthanorequalto a} = P{X + Y lessthanorequalto a} =___________________________for 0 < a < infinity The cumulative distribution of T = x/y is P({T lessthanorequalto a} = P{X/a lessthanorequalto Y} =___________________________for_________< a

Answers

To find the cumulative distribution function (CDF) of Z = X + Y, where X is uniformly distributed over (0,1) and Y is exponentially distributed with parameter lambda = 2, we can use the properties of independent random variables.

For 0 < a < 1, we have:

P(Z ≤ a) = P(X + Y ≤ a)

Since X and Y are independent, we can write this as:

P(Z ≤ a) = ∫∫ P(X ≤ x, Y ≤ a - x) dxdy

Since X is uniformly distributed over (0,1) and Y is exponentially distributed with parameter lambda = 2, we have their respective probability density functions (PDFs):

fX(x) = 1, 0 ≤ x ≤ 1

fY(y) = 2e^(-2y), y ≥ 0

Now, we can calculate the CDF of Z:

P(Z ≤ a) = ∫∫ P(X ≤ x, Y ≤ a - x) dxdy

= ∫∫ fX(x) * fY(y) dxdy, since X and Y are independent

= ∫∫ 1 *[tex]2e^(-2y)[/tex] dxdy, for 0 ≤ x ≤ 1 and y ≥ 0

Integrating with respect to x from 0 to 1 and with respect to y from 0 to a - x, we get:

P(Z ≤ a) = ∫[0,1]∫[0,a-x] 1 * 2[tex]e^(-2y)[/tex]dydx

= ∫[0,1] [[tex]-e^(-2y)[/tex]] [0,a-x] dx

= ∫[0,1] (1 - [tex]e^(-2(a-x)[/tex])) dx

Evaluating the integral, we have:

P(Z ≤ a) = [x - [tex]xe^(-2(a-x))[/tex]] [0,1]

= (1 - e^(-2a))

Therefore, the cumulative distribution function (CDF) of Z is:

P(Z ≤ a) = [tex](1 - e^(-2a)),[/tex] for 0 < a < 1

For 0 < a < ∞, the cumulative distribution function of Z remains the same:

P(Z ≤ a) = (1 - e^(-2a)), for 0 < a < ∞

Now, let's move on to the cumulative distribution function of T = X/Y.

P(T ≤ a) = P(X/Y ≤ a)

Since X and Y are independent, we can write this as:

P(T ≤ a) = ∫∫ P(X/y ≤ a) fX(x) * fY(y) dxdy

Using the given information that X is uniformly distributed over (0,1) and Y is exponentially distributed with parameter lambda = 2, we can substitute their respective PDFs:

P(T ≤ a) = ∫∫ P(X/y ≤ a) * 1 * [tex]2e^(-2y)[/tex]dxdy

= ∫∫ P(X ≤ ay) * 1 * [tex]2e^(-2y)[/tex]dxdy

Now, we need to determine the range of integration for x and y. Since X is between 0 and 1, and Y is greater than or equal to 0, we have:

0 ≤ x ≤ 1

0 ≤ y

Using these limits, we can calculate the CDF of T:

P(T ≤ a) = ∫[0,1]∫[0,∞] P(X ≤ ay) * 1 * [tex]2e^(-2y)[/tex] dydx

To evaluate this integral, we need to consider the range of values for ay. Since a can be any positive real number, ay can range from 0 to ∞.

P(T ≤ a) = ∫[0,1]∫[0,∞] P(X ≤ ay) * 1 * 2[tex]e^(-2y)[/tex] dydx

= ∫[0,1]∫[0,∞] (ay) * 1 * 2[tex]e^(-2y)[/tex] dydx, for ay ≥ 0

Integrating with respect to y from 0 to ∞ and with respect to x from 0 to 1, we have:

P(T ≤ a) = ∫[0,1]∫[0,∞] (ay) * 1 * 2[tex]e^(-2y)[/tex]dydx

= ∫[0,1] (2a / (4 + a^2)) dx

Evaluating the integral, we get:

P(T ≤ a) = (2a / (4 + [tex]a^2)),[/tex] for a > 0

Therefore, the cumulative distribution function (CDF) of T is:

P(T ≤ a) = (2a / (4 + [tex]a^2)),[/tex] for a > 0

Learn more about cumulative distribution function here:

https://brainly.com/question/30402457

#SPJ11

6,336 ft. = in league

Answers

Answer:

6336 feet = 0.3476 nautical leagues

A cylindrical gas tank holds approximately 401.92 cubic feet of fuel. The radius of the tank is 4 feet. Find the height of the tank in feet. Use 3.14 for π. PLEASE HURRY I NEED THIS

Answers

Answer:

8 ft

Step-by-step explanation:

Given:

Volume = 401.92

radius = 4 feet

Volume of cylinder: [tex]\pi[/tex]r^2h

3.14 * 4^2 * h = 401.92 cubic feet

3.14 * 16 * h = 401.92 cubic feet

50.24 * h = 401.92

h = 8 ft

10x+9y=-17
10x-2y=16

Answers

Answer:

they both = eachother

10x+9y=-17 = 10x-2y=16

Step-by-step explanation:

What is the solution to the equation 4x + 2(x − 3) = 3x + x − 12? (1 point) −3 −1 1 3

Answers

Answer: x= -3

Explanation:

What is the measure of ∠x?

Answers

Answer:

117+x=180°(sum of straight line)

Step-by-step explanation:

x=180-117

x=63

It should be 105.

44 + 31 = 75

180 - 75 = 105.

i need help please i'll give brainly​

Answers

Answer:

60 +24 = 84

Step-by-step explanation:jjjjjhjhjhj

6 x 4 +5 x 12

Consider the equation below. (If an answer does not exist, enter DNE.)
f(x) = x4 − 8x2 + 9
(a) Find the interval on which f is increasing. (Enter your answer using interval notation.)
Find the interval on which f is decreasing. (Enter your answer using interval notation.)

Answers

The interval on which the function f(x) = x^4 - 8x^2 + 9 is increasing can be expressed in interval notation as (-∞, -2) ∪ (2, ∞). The interval on which the function is decreasing can be expressed as (-2, 2).

To determine the intervals of increasing and decreasing, we need to examine the derivative of the function. Taking the derivative of f(x) with respect to x gives us f'(x) = 4x^3 - 16x. To find the intervals of increasing and decreasing, we need to analyze the sign of the derivative. The derivative is positive when x < -2 and x > 2, indicating an increasing function. The derivative is negative when -2 < x < 2, indicating a decreasing function.

To know more about intervals here: brainly.com/question/11051767

#SPJ11

Joshua is going to invest $9,000 and leave it in an account for 5 years. Assuming the
interest is compounded continuously, what interest rate, to the nearest tenth of a
percent, would be required in order for Joshua to end up with $12,500?

Answers

Answer:

Step-by-step explanation:

Answer:

6.6%

Step-by-step explanation:

Sam drinks water at an incredible rate. She drinks 2 1/5 liters of water every 3/4 of an hour. Sam drinks water at a constant rate. About how much water does Sam drink per hour?

Answers

Answer:

2.9 litres

or

2 14/15 litres

Step-by-step explanation:

To determine the amount of water Sam drinks in an hour, divide the total amount drunk by the number of hours

Amount drank in an hour = total litres drunk / time

[tex]2\frac{1}{5}[/tex] ÷ [tex]\frac{3}{4}[/tex]

[tex]\frac{11}{5}[/tex] × [tex]\frac{4}{3}[/tex] = [tex]\frac{44}{15}[/tex] = 2[tex]\frac{14}{15}[/tex] litres

Flordia yum, an ice cream company would like to test the hypothesis that the variance for the number of ounces of ice cream that Americans consume per month is greater than 15. A random sample of 23 people was found to have a standard deviation of 4.4 ounces for the quantity of ice cream consumed per month. The ice cream company would like to test the hypothesis using alpha= 0.05.

Answers

If the test statistic exceeds the critical value, we reject the null hypothesis and conclude that there is evidence to support the claim that the variance is greater than 15. Otherwise, if the calculated chi-square value is less than or equal to the critical chi-square value, we fail to reject the null hypothesis.

To test the hypothesis that the variance for the number of ounces of ice cream consumed per month is greater than 15, we can use a chi-square test for variance.

The null and alternative hypotheses for this test are as follows:

Null Hypothesis (H0): The variance for the number of ounces of ice cream consumed per month is equal to or less than 15.

Alternative Hypothesis (H1): The variance for the number of ounces of ice cream consumed per month is greater than 15.

Given a random sample of 23 people with a standard deviation of 4.4 ounces, we can calculate the sample variance as [tex]s^2 = (4.4)^2[/tex] = 19.36.

To perform the chi-square test, we calculate the test statistic as follows:

chi-square = (n - 1) × [tex]s^2[/tex] / [tex]\sigma^2[/tex]

where n is the sample size, [tex]s^2[/tex] is the sample variance, and [tex]\sigma^2[/tex] is the hypothesized population variance (15 in this case).

Substituting the values, we get:

chi-square = (23 - 1) × 19.36 / 15 = 29.44

Next, we compare this test statistic to the critical value from the chi-square distribution table with (n - 1) degrees of freedom (22 degrees of freedom in this case) at the given significance level (alpha = 0.05).

If the test statistic is greater than the critical value, we reject the null hypothesis and conclude that the variance for the number of ounces of ice cream consumed per month is greater than 15.

Otherwise, if the test statistic is less than or equal to the critical value, we fail to reject the null hypothesis.

Performing the chi-square test with the given values, we compare the test statistic (29.44) to the critical value from the chi-square distribution table.

If the test statistic exceeds the critical value, we reject the null hypothesis and conclude that the variance for the number of ounces of ice cream consumed per month is greater than 15. Otherwise, we fail to reject the null hypothesis.

Learn more about Standard Deviation here:

https://brainly.com/question/475676

#SPJ11

Solve the following system of equations using Desmos.....x-3y=-2 and x+3y=16

Answers

Answer:

(7, 3 )

Step-by-step explanation:

Given the 2 equations

x - 3y = - 2 → (1)

x + 3y = 16 → (2)

Adding (1) and (2) term by term will eliminate the y- term

2x + 0 = 14

2x = 14 ( divide both sides by 2 )

x = 7

Substitute x = 7 into either of the 2 equations and solve for y

Substituting into (2)

7 + 3y = 16 ( subtract 7 from both sides )

3y = 9 ( divide both sides by 3 )

y = 3

solution is (7, 3 )

pls help will mark brainlest

Answers

Answer:

(5,7) , (2, -3) , (2,4)

Step-by-step explanation:

your first number, the x, is the horizontal number. The second, y, is the vertical number. So if you look at A, the x is 5, and you then have to go up to 7 to reach the intercept

4,3,4,7,4,8 step 1 of 3: calculate the value of the sample variance. round your answer to one decimal place.

Answers

The sample variance for the given data set is 3.6.

To calculate the sample variance, we follow a series of steps. First, we need to find the mean (average) of the data set. Adding up all the numbers and dividing by the total count gives us the mean, which in this case is (4+3+4+7+4+8)/6 = 30/6 = 5.

Next, we calculate the deviations of each data point from the mean. We subtract the mean from each data point to get the deviations: (4-5), (3-5), (4-5), (7-5), (4-5), and (8-5), which simplify to -1, -2, -1, 2, -1, and 3, respectively.

Then, we square each deviation to eliminate negative values:[tex](-1)^2[/tex], [tex](-2)^2[/tex], [tex](-1)^2[/tex], [tex]2^2[/tex], [tex](-1)^2[/tex], and [tex]3^2[/tex], which simplify to 1, 4, 1, 4, 1, and 9, respectively.

The next step is to find the sum of the squared deviations. Adding up all the squared deviations gives us 20.

Finally, we divide the sum of squared deviations by the total count minus 1 (n-1) to calculate the sample variance: 20/(6-1) = 20/5 = 4.

Rounding the sample variance to one decimal place, we get 3.6 as the final result.

Learn more about variance here:

https://brainly.com/question/31051269

#SPJ11

Set up an integral that represents the length of the part of the parametric curve shown in the graph.
x = 9t^2 − 3t^3, y = 3t^2 − 6t
The x y-coordinate plane is given. The curve starts at the point (12, 9), goes down and left becoming more steep, changes direction at approximately the origin, goes down and right becoming less steep, changes direction at the point (6, −3), goes up and right becoming more steep, changes direction at the approximate point (12, 0), goes up and left becoming less steep, and stops at the point (0, 9).

Answers

To find the length of the parametric curve described by the equations x = 9t^2 − 3t^3 and y = 3t^2 − 6t, we can set up an integral using the arc length formula. The curve starts at point (12, 9) and ends at point (0, 9), with several changes in direction along the way.

The length of a curve can be calculated using the arc length formula. For a parametric curve defined by x = f(t) and y = g(t), the arc length can be expressed as:

L = ∫[a,b] √[(dx/dt)^2 + (dy/dt)^2] dt.

In this case, we have x = 9t^2 − 3t^3 and y = 3t^2 − 6t. To find the length of the curve, we need to determine the interval [a, b] over which t varies.

From the given information, we can see that the curve starts at (12, 9) and ends at (0, 9). By solving the equation x = 9t^2 − 3t^3 for t, we find that t = 0 at x = 0, and t = 2 at x = 12. Therefore, the interval of integration is [0, 2].

To set up the integral, we calculate the derivatives dx/dt and dy/dt, and then substitute them into the arc length formula. Simplifying the expression inside the square root and integrating over the interval [0, 2], we can evaluate the integral to find the length of the curve.

To learn more about  arc length formula click here: brainly.com/question/30760398

#SPJ11



2. Describe a rigid motion or composition of rigid motions that maps the rectangular bench at (0, 10)and

the adjacent flagpole onto the other short rectangular bench and flagpole.

Answers

Answer:

See Explanation

Step-by-step explanation:

Given

Let the bench be B and the flagpole be T.

So:

[tex]B = (0,10)[/tex] --- given

The flagpole is represented by the triangular shape labelled T.

So, we have:

[tex]T = (6,9)[/tex]

See attachment for the rectangular bench and the flagpole

From the attached image, the location of the other bench is:

[tex]B' = (0,-10)[/tex]

And the location of the other flagpole is:

[tex]T' = (-6,9)[/tex]

So, we have:

[tex]B = (0,10)[/tex] ==> [tex]B' = (0,-10)[/tex]

[tex]T = (6,9)[/tex] ==> [tex]T' = (-6,9)[/tex]

When a point is reflected from [tex](x,y)[/tex] to [tex](x,-y)[/tex], the transformation rule is reflection across x-axis.

So the rigid transformation that takes [tex]B = (0,10)[/tex] to [tex]B' = (0,-10)[/tex] is: reflection across x-axis.

When a point is reflected from [tex](x,y)[/tex] to [tex](-x,y)[/tex], the transformation rule is reflection across y-axis.

So the rigid transformation that takes [tex]T = (6,9)[/tex] to [tex]T' = (-6,9)[/tex] is: reflection across y-axis.


How many sqftwks are used when producing a K flat of cucumbers
for grafting that spent 6 weeks on a bench in the greenhouse?

Answers

The number of square feet-weeks used when producing a K flat of cucumbers for grafting is not provided.

To determine the number of sqftwks (square feet-weeks) used when producing a K flat of cucumbers for grafting that spent 6 weeks on a bench in the greenhouse, we need additional information.

The term "sqftwks" represents the product of the area in square feet and the duration in weeks. However, the specific values for the area and the duration of cucumber growth are not provided in the question.

To calculate the number of sqftwks, we would need to know the area occupied by the K flat of cucumbers and the time spent in the greenhouse. Without these specific values, it is not possible to determine the number of sqftwks used for cucumber production.

Therefore, based on the given information, we cannot calculate the number of sqftwks used when producing a K flat of cucumbers for grafting that spent 6 weeks on a bench in the greenhouse.

To learn more about “production” refer to the https://brainly.com/question/16755022

#SPJ11

Why are the triangles congruent

Answers

Answer:

The triangles are congruent because they are both exactly the same.

Other Questions
in order to prevent a transaction from being recorded more than once, a company should maintain only one book of original entry. group of answer choices false true Zarkos has prepared a trial balance for his business at 30 April 2021 which is presented below: - Debit RM Credit RM Capital 1 May 2020 30,000 Finance Costs 300 Bank 7,400 Administrative expenses 65,800 Distribution expenses 31,200 Plant and Machinery Cost 72,000 Accumulated Depreciation 1 May 2020 25,000 Trade Receivables 20,000 Allowance for Receivables 1 May 2020 3,150 Revenue 230,000 Inventory 1 May 2020 18,750 Drawings 18,000 Trade Payables 17,500 Purchases 90,000 6% Loan repayable 31 July 2023 3,000 316,050 316,050 The following notes are relevant to the preparation of the financial statements for the year ended 30 April 2021: 1. Zarkos took goods which cost RM 5,000 for personal use during the year, but this has not been recorded. 2. It has been determined that trade receivables of RM 600 are irrecoverable. In addition, it was decided that the allowance for receivables should be reduced by RM 400. 3. Depreciation on plant and machinery is charged at 15% per annum on a reducing balance basis. Depreciation is charged to cost of sales. 4. The loan was taken out on 1 August 2020 and interest has not yet been paid or accrued. 5. Closing inventory had been at RM 17,500. It was subsequently discovered that some items of inventory which had cost RM 5,000 had a net realisable value of RM 3, 750. 6. At 30 April 2020, a prepayment for insurance paid in advance of RM 400 had not yet been accounted for. Insurance is classified as an administrative expenses. 7. At 30 April 2020, an accrual for freight and delivery expenses amounting to RM 350 had not yet been accounted for. Freight and delivery expenses are classified as distribution expenses. Required: Prepare a statement of profit or loss of Zarkos the year ended 30 April 2020 and a statement of financial position as at 30 April 2020. Ann purchased a property for $1,000,000. She bought the property at a 7.00% cap rate. She finances the purchase with an Interest Only senior loan at 60% LTV at an interest rate of 4.00%. She also decides to get subordinate / mezzanine financing for 20% of the capital stack (from 60%-80% LTV) at 8.00% interest only. What is Anns return on equity (ROE) in year 1? T/F. e-mail is an temporary message medium. The space diagonal of a cube is 413 m. Find its volume. Which is NOT true about debt financing and the weighted average cost of capital?Select one:O Debt is usually the cheapest source of financing.O As the level of debt increases beyond the optimum capital structure, the cost of capital increases.O No debt in the firm's capital structure will minimize the firm's weighted-average cost of capital.O None of the above. which best describes the role of a consumer?buying goodsmaking productsproviding productssupplying services The price of an airline ticket from Denver to New York is $500. A bus ticket is $200. Traveling by plane takes five hours, compared with 35 hours by bus. Other things constant, an individual would gain by choosing air travel if, and only if, his time were valued at more than.A. $15 per hourB. $10 per hourC. $6 per hourD. $100 per hour Assume today is December 31, 2019. Imagine Works Inc. just paid a dividend of $1.40 per share at the end of 2019. The dividend is expected to grow at 18% per year for 3 years, after which time it is expected to grow at a constant rate of 6% annually. The company's cost of equity (rs) is 9.5%. Using the dividend growth model (allowing for nonconstant growth), what should be the price of the company's stock today (December 31, 2019)? Do not round intermediate calculations. Round your answer to the nearest cent.. Solve the reliability problemsA given component has an MTBF of 106hr, What is the reliability for an operating period of 10hr for 5 such components in series? A given component has an MTBF of 106 hr, what is the reliability for an operating period of 10hr for 5 such components in series?Four capacitances of 25F each are connected in parallel to act as a single capacitance of 100F required for the successful operation of a unit. If the reliabilities of the capacitors are 0.6, 0.7, and 0.9 respectively, Find the reliability of the unit. Fill in the blanks please. Thank you!!Suppose you are a consultant for New York's taxation authority. The following information describe the demand and supply functions for two goods-Beer and Cigarettes: Beer Cigarette P=125-2Q P=5+2Q P = In 2002, Digital Equipment Corporation registers its trademark as provided by federal law. This registration provides protection forever. for twenty years. for the life of the corporation plus seventy years. for 5-6 years, with 10 year renewals after that. Select the two characteristics of impulses that are usually absent from compulsions. A. Pleasure seeking. B. Psychosocial impairment. C. Committing actions.D. Repetitive performance Complete the following table by matching each definition to the appropriate economic time frame. Definition Short Run Long Run A period of time long enotugh for all input prices and wages be renegotiated A period of time in which some input prices and wages are fixed The short-run aggregate supply curve shows: O What happens to output in an economy as the actual price level changes, holding all other determinants of real GDP constant What happens to output in an economy when the government spends more money OHow firms respond to changes in interest rates The relationship between the price level and aggregate expenditure Which of the following are assumed to remain unchanged along a given short-run aggregate supply curve? Check all that apply. The position of the aggregate demand curve The price level The technology available to firms Institutions, such as patent laws and tax systems, that make up the "rules of the game" The term natural rate of unemployment refers to OThe unemployment rate that occurs when an economy's real GDP is equal to its potential output O The unemployment that arises due to purely seasonal factors, such as unemployed lifeguards in the winter OThe minimum possible unemployment rate for an economy The unemployment rate that would occur if there were no frictional unemployment If a person is in a protected class, he or she is protected by which of the following?A) Department of Labor guidelinesB) Sarbanes-Oxley ActC) Title VII of the Civil Rights ActD) Consumer Protection Act 1.) a) Kaimondake is a department store. Its sales managers wish to introduce agenerous bonus app. The purpose is to boost current sales and increase customerloyalty by offering free high end products to their shoppers, in the future, once theyhave spent a certain amount of money.(i) Imagine that you are working for Kaimondake as an accountant and you havea meeting with the sales managers. Making reference to concepts of costs &liabilities and any relevant accounting conventions, explain to the salesmanagers the accounting implications of the introduction of the bonus card.How will the Kaimondake's accounts need to be adjusted once the app isintroduced? Light wavelength 600nm passes through a slit of width 0.170mm.a) The width of the central maximum on a screen is 8.00 mm. How far is the screen from the slit?b) Determine the width of the first bright fringe to the side of the central maximum Williamson Industries has $3 billion in sales and $2.385 billion in fixed assets. Currently, the company's fixed assets are operating at 90% of capacity. a. What level of sales could Williamson Industries have obtained if it had been operating at full capacity? Enter your answer in billions of dollars. Round your answer to five decimal places S billion b. What is Williamson's target fixed assets/sales rabio? Do not round intermediate calculations. Round your answer to two decimal places c. If Williamson's sales increase 15%, how large of an increase in fixed assets will the company need to meet its target fixed assets/sales ratio? Enter your answer in billions of dollars. Negative value should be indicated by a minus sign. Do not round intermediate calculations. Round your answer to five decimal places. billion Macys increased the price of one of its dresses from $100 to $120. The increase caused a decrease in the quantity demanded from 1,000 coats to 900 coats. Calculate the price elasticity of demand using the simple method. 3 marksIdentify whether each of the following takes place in factor market (F)or the product market (P). 2 marks eachCarla buys a brand new handbag from the retail store, Dooney and Bourke.Honda sells a factory to Toyota so that its operations can be expanded.Stacy works 40 hours a week as a Bartender at Curtain Bluff hotel.The School Meals Factory purchases utensils from Shouls Toys and Gifts.Karl spends $200 to purchase flash drives from Best Buy.Fredericka earns $625 an hour as a journalist.g.Taj spends $8 to order a mojito drink Derive the sum of an arithmetic progression when the n term is known. 2. Rewrite 0.3333 as a series, and find its sum to infinity, 3. The difference between compound interest and simple interest on an amount of K15,000 for 2 years is K96 Find the rate of interest per annum.