Find the area of the shaded region in square units. Show your reasoning.

Find The Area Of The Shaded Region In Square Units. Show Your Reasoning.

Answers

Answer 1

Answer:

40 square units

Step-by-step explanation:

First of all, lets say that square has side [tex]l[/tex], so, the area unit is [tex]l^2[/tex]

the diagonal's square is [tex]l\sqrt{2}[/tex]

CALCULATION OF TRIANGLES'S AREA (there are 4 triangles)

[tex]A_{triangles}=4*base*heigh*0.5=2*(l\sqrt{2} )(2l\sqrt{2} )=8l^2[/tex]

CALCULATION OF MAIN SQUARE AREA

[tex]A_{square}=side*side=(4\sqrt{2} l)(4\sqrt{2} l)=32l^2[/tex]

TOTAL AREA

[tex]A_{total}=A_{triangles}+A_{square}=8l^2+32l^2=40l^2[/tex]

Find The Area Of The Shaded Region In Square Units. Show Your Reasoning.

Related Questions

A shipping carton is in the shape of a triangular prism. The base area of the triangle is 6 inches squared and the the height of the prism is 15 inches. how many cubic inches of space are in the carton?

Answers

51

Step-by-step explanation:

uajdnensjdkalsnnamakksls

WILL MARK YOU IF YOU CAN HELP ME

Answers

Answer:

x= 62

first take linear pair angle with any line then once again with x then you're done

Answer:

x value is 62 degree

because they are vertically opposite angles

let abc is a right angle triangle at b. if ac=10cm and ab=8cm the what is the lenght of bc is​

Answers

Answer:

using Pythagoras theorem

bc²=ac²-ab²

bc²=100-64

bc=√36

bc =6

Please help me figure out which is the correct answer, i have attached the picture for you to look at. Thanks so much!

Answers

Answer:

The answer is B ;)

Step-by-step explanation:

4x+5 is greater than or equal to 13

subtract 5 from each side to get 4x is greater than or equal to 8

then divide both sides by 2 to get

x is greater than or equal to 2

Drew hiked two trails Rocky Hill is 7 /8 miles long battle in Brook Trail is 4/5 mile long how much further did Drew hike on Rocky Hill Trail then I'll babbling Brook Trail write an equation

Answers

3/3 or 1 whole hope this helps

How many centimeters are there in 3.35 meters?

A. 115
B. 225
C. 335
D. 445

Answers

Answer:

335

Step-by-step explanation:

To convert meters to centimeters, move the decimal point two spaces to the right.

Answer:

335

Step-by-step explanation:

a centimeter is one hundredth of a meter so multiply 3.35x100

Find the area of the circle the area is ? m2

Answers

Answer:

roughly 12.57

Step-by-step explanation:

pi times [tex]r^{2}[/tex]

Answer:

Step-by-step explanation:

Hello!

The area of a circle is calculated using the formula [tex]A = \pi r^2[/tex].

A = areaπ = pir = radius

To solve for the area, we plug in the value for the radius.

Find the Area[tex]A = \pi r^2[/tex][tex]A = \pi (2)^2[/tex][tex]A = 4\pi[/tex]

Usually we round Pi to 3.14 and multiply, but since it's asking for the exact value, we can just leave it as is.

The area in terms of Pi is .

PLSSSS HELP ASAP PLS !! will mark brainliest to whoever gets it right

Answers

Answer:

last option is correct

Step-by-step explanation:

angle 4 is 128 degree because it is corresponding with angle 3.

Corresponding angles are angles that are in the same position relative to lines intersected by a transversal. When a transversal intersects two lines, the two lines are parallel if and only if corresponding angles are congruent (equal in measure).

Answer:

128 because it is corresponding with 3

Anyone know the answer to this?

Answers

Answer:

is it correct if yes you may follow me for more helps ☺️

Chris and Jen decide to go apple picking at a local apple orchard. As the number of apples they pick increases the cost of the apples also increases. The function ff relates the varying cost of Chris and Jen's apples, cc , in terms of the varying number of pounds of apples that Chris and Jen pick, nn , where c=f(n)c=f(n) and ff is defined by f(n)=0.4n+6f(n)=0.4n+6.
Evaluate f−1(33) Note( this is F^-1)
Determine the rule for the function f^-1

Answers

Any relation that has an inverse is a function

The value of [tex]\mathbf{f^{-1}(33)}[/tex] is [tex]\mathbf{f^{-1}(33) = 67.5}[/tex]The rule of [tex]\mathbf{f^{-1}(n)}[/tex] is [tex]\mathbf{f^{-1}(n) = 2.5(n -6)}[/tex]

The function is given as:

[tex]\mathbf{f(n) = 0.4n + 6}[/tex]

(a) Evaluate [tex]\mathbf{f^{-1}(33)}[/tex]

First, we calculate the inverse function

We have:

[tex]\mathbf{f(n) = 0.4n + 6}[/tex]

Rewrite as:

[tex]\mathbf{y = 0.4n + 6}[/tex]

Subtract 6 from both sides

[tex]\mathbf{y -6= 0.4n + 6 - 6}[/tex]

[tex]\mathbf{y -6= 0.4n}[/tex]

Divide both sides by 0.4

[tex]\mathbf{\frac{1}{0.4}(y -6)= \frac{0.4n}{0.4}}[/tex]

[tex]\mathbf{\frac{1}{0.4}(y -6)= n}[/tex]

[tex]\mathbf{2.5(y -6)= n}[/tex]

Make n the subject

[tex]\mathbf{n = 2.5(y -6)}[/tex]

Rewrite as:

[tex]\mathbf{n = 2.5(f(n) -6)}[/tex]

So, the inverse function is:

[tex]\mathbf{f^{-1}(n) = 2.5(n -6)}[/tex]

Substitute 33 for n to calculate [tex]\mathbf{f^{-1}(33)}[/tex]

[tex]\mathbf{f^{-1}(33) = 2.5(33 -6)}[/tex]

[tex]\mathbf{f^{-1}(33) = 2.5(27)}[/tex]

[tex]\mathbf{f^{-1}(33) = 67.5}[/tex]

(b) The rule of [tex]\mathbf{f^{-1}(n)}[/tex]

In (a), we have: [tex]\mathbf{f^{-1}(n) = 2.5(n -6)}[/tex]

Hence, the rule of [tex]\mathbf{f^{-1}(n)}[/tex] is [tex]\mathbf{f^{-1}(n) = 2.5(n -6)}[/tex]

Read more about functions and inverses at:

https://brainly.com/question/10300045

Divide Rs. 1800 among Marmik, Sujata and Kapil in the ratio of 1/3:1/4:1/6​

Answers

Answer:

Marmik = 800; Sujata = 600; Kapil = 400

Step-by-step explanation:

Given

Let

[tex]M \to Marmik[/tex]

[tex]S \to Sujata[/tex]

[tex]K \to Kapil[/tex]

Given

[tex]M:S:K = \frac{1}{3}:\frac{1}{4}:\frac{1}{6}[/tex]

[tex]Amount = 1800[/tex]

Required

Divide

We have:

[tex]M:S:K = \frac{1}{3}:\frac{1}{4}:\frac{1}{6}[/tex]

Multiply the ratio by 12 (to convert them to whole numbers)

[tex]M:S:K = 12 *\frac{1}{3}:12*\frac{1}{4}:12*\frac{1}{6}[/tex]

[tex]M:S:K = 4 : 3 : 2[/tex]

The total ratio is:

[tex]Total = 4 + 3 + 2 = 9[/tex]

So, the amount each collected is:

[tex]Marmik = \frac{M}{Total} * Amount[/tex]

[tex]Marmik = \frac{4}{9} *1800 = 800[/tex]

Using the same formula for others, we have:

[tex]Sujata = \frac{3}{9} *1800 = 600[/tex]

[tex]Kapil = \frac{2}{9} *1800 = 400[/tex]

The college Physical Education Department offered an Advanced First Aid course last summer. The scores on the comprehensive final exam were normally distributed, and the z scores for some of the students are shown below.
Robert, 1.11 Juan, 1.66 Susan, –1.9 Joel, 0.00 Jan, –0.65 Linda, 1.46
(a) Which of these students scored above the mean?
a. Jan
b. Joel
c. Juan
d. Linda
e. Robert
f. Susan
(b) Which of these students scored on the mean?
a. Jan
b. Joel
c. Juan
d. Linda
e. Robert
f. Susan
(c) Which of these students scored below the mean?
a. Jan
b. Joel
c. Juan
d. Linda
e. Robert
f. Susan
(d) If the mean score was ? = 156 with standard deviation ? = 24, what was the final exam score for each student? (Round your answers to the nearest whole number.)
a. Janb. Joelc. Juand. Lindae. Robertf. Susan

Answers

Answer:

a)

b. Joel

c. Juan

d. Linda

b)

b. Joel

c)

a. Jan

f.Susan

d)

a. Jan: 140

b. Joel: 156

c. Juan: 196

d. Linda: 191

e. Robert: 183

f. Susan: 110

Step-by-step explanation:

Z-score:

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean, positive z-scores are above the mean, negative are below the mean and 0 is the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Question a:

Robert, Juan and Linda had positive z-scores, so they scored above the mean, and the correct options are c,d,e.

(b) Which of these students scored on the mean?

Joel, which had a z-score of 0, so the correct option is b.

(c) Which of these students scored below the mean?

Jan and Susan had negative z-scores, so them, options a and f.

Question d:

We have that [tex]\mu = 156, \sigma = 24[/tex], so we have to find X for each student.

Jan:

Z = -0.65. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-0.65 = \frac{X - 156}{24}[/tex]

[tex]X - 156 = -0.65*24[/tex]

[tex]X = 140[/tex]

b. Joel

Z = 0, so:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]0 = \frac{X - 156}{24}[/tex]

[tex]X - 156 = 0*24[/tex]

[tex]X = 156[/tex]

c. Juan

Z = 1.66, so:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.66 = \frac{X - 156}{24}[/tex]

[tex]X - 156 = 1.66*24[/tex]

[tex]X = 196[/tex]

d. Linda

Z = 1.46. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.46 = \frac{X - 156}{24}[/tex]

[tex]X - 156 = 1.46*24[/tex]

[tex]X = 191[/tex]

e. Robert

Z = 1.11. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.11 = \frac{X - 156}{24}[/tex]

[tex]X - 156 = 1.11*24[/tex]

[tex]X = 183[/tex]

f. Susan

Z = -1.9. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-1.9 = \frac{X - 156}{24}[/tex]

[tex]X - 156 = -1.9*24[/tex]

[tex]X = 110[/tex]

Write the equation of a line with a slope of −2 and a y-intercept of 5.

Answers

9514 1404 393

Answer:

  y = -2x +5

Step-by-step explanation:

The slope-intercept form of the equation for a line is ...

  y = mx + b . . . . . . . . . line with slope m and y-intercept b

You want a line with slope -2 and y-intercept 5, so your equation is ...

  y = -2x + 5


Find the value of the trigonometric ratio. Simplify the ratio if possible.
(Hint: You may need to use some pythagorean theorem first!)

Answers

Answer:

in this tiangle tanA = 8/15

Using the diagram below, what is the measure of ZE?

Answers

Answer:

50

Step-by-step explanation:

Think of line AE as a transversal. with DE and AB cutting across it. If we draw it out, looking at the picture, we can see that angles A and E correspond, meaning that angle A = angle E = 50

A hemispherical tank is filled with water and has a diameter of 22 feet. If water
weighs 62.4 pounds per cubic foot, what is the total weight of the water in a full tank,
to the nearest pounds

Answers

Answer:

173 949 pounds

Step-by-step explanation:

radius of the hemisphere = diameter / 2 = 11 feet

Volume of the hemisphere = (2/3  * radius^3 * pi) = = (2/3 * 11^3 * pi) = 2.787,639881 ft^3

Total weight = volume of the hemisphere * 62.4 = 173,948.728592

58. Consider the graph of the line below. a State the slope of the line. b. State the x-intercept as an ordered pair. c. State the y-intercept as an ordered pair. d. Write the equation of the line in the form y = mx + b.​

Answers

Answer:

No solution is possible

Step-by-step explanation:

You failed to include the graph.

A new car's original price is $13,999. If it's on sale
for 10% off, what's the new price?

Answers

To find new price after discount we are going to find 10% of $13,999.00, then subtract the discount amount from $13,999.00.

13,999.00 × ¹⁰/₁₀₀ = $1,399.90

13,999.00 - 1,399.90 = $12,599.10

Therefore, new price = $12,599.10

Workplace accidents are categorized in three groups: minor, moderate, and severe. The probability that a given accident is minor is 0.5, that it is moderate is 0.4, and that it is severe is 0.1. Two accidents occur independently in one month. Calculate the probability that neither accident is severe and at most one is moderate.

Answers

Answer: The probability when neither of the accidents is severe and at most one is moderate is 0.65

Step-by-step explanation:

Given values:

Probability when the accident is minor = 0.5

Probability when the accident is moderate = 0.4

Probability when the accident is severe = 0.1

As two accidents are occurring independently and we need to calculate the probability of an event that neither accident is severe and at most one is moderate.

So, the equation for the probability becomes:

[tex]=\text{P[moderate, minor]}+\text{P[minor, moderate]}+\text{P[minor, minor]}\\\\= (\text{P[moderate]}\times \text{P[minor]}) + (\text{P[minor]}\times \text{P[moderate]}) + (\text{P[minor]}\times \text{P[minor]})[/tex]

Putting values in above equation, we get:

[tex]=[(0.40)\times (0.5)] + [(0.5)\times (0.4)] +[((0.5)\times (0.5)]\\\\= 0.65[/tex]

Hence, the probability when neither of the accidents is severe and at most one is moderate is 0.65

an arrow is shot vertically upward from a platform 33ft high at a rate of 174 ft/sec. when will the arrow hit the ground?​

Answers

Answer:

h(t) = -16t2 + 186t + 43

at the ground h = 0

hence;  -16t2 + 186t + 43 = 0  

solving this quadratic equation using the quadratic formula ; a = -16, b = 186, c = 43 ; x = (-b +-(b2 - 4ac)1/2)/2a

gives t = 11.8 seconds to the nearest tenth (note that the negative root has no practical significance)

Step-by-step explanation:

Given a circle with a radius of 22 inches, what is the circumference in terms of π?

Answers

Answer:

[tex]circumference = 2\pi \: r \\ = 2 \times \pi \times 22 \\ = 44\pi \: inches[/tex]

Answer:

The circumference is 44 pi.

Step-by-step explanation:

You have to use the formula, C=2 Pi R but since it's in terms of pi, we can not include pi in the equation. 2 times r (radius) is 44, therefor the answer is 44 pi.

Please help!! Will mark brainilest, thank you in advance. :))

Answers

Answer:

See image below:) :)

Step-by-step explanation:

C

You can plug it into Desmos graphing calculator and find the point where the 2 lines/parabolas meet

I'm Stuck and need help please). The table shows the test scores and the sleep averages of several students. A) Write the least squares regression equation that models the data. Let x = the test score and y = average sleep. B) Use the equation to determine the approximate test score of a student who sleeps an average of 8 hours a night. Show Your Work. ( Will Mark Brainliest but no Links or nonsense answers please). Answer A and Answer B.​

Answers

Answer:

a

you should take values of x and y that are similar or they are close to each other like 8 is close to 8.5

b

u will take the average of all the scores with 8hr sleep

Write the product in its simplest form : 6c • (-7c^6)

Answers

Answer:

Step-by-step explanation:

(-7*6)(c*c^6) = -42c^7

If f(x) = 5x - 3 and g(x) = 3x - 3, find f(x) - g(x).
A 2x
B. 8x - 6W
C2x-6
D. 8x

Answers

Replace f(x) to 5x-3 and g(x) to 3x-3 then subtract f(x) by g(x).

[tex] \large{f(x) - g(x) = (5x - 3) - (3x - 3)}[/tex]

Cancel the brackets, remember that multiplying or expanding the negative symbol will switch the sign. From plus to minus and minus to plus.

[tex] \large{ f(x) - g(x)= 5x - 3 - 3x + 3 }[/tex]

Combine like terms.

[tex] \large{f(x) - g(x) = 2x + 0 \longrightarrow \boxed{2x}}[/tex]

Answer

f(x)-g(x) = 2x

Answer:

5x-3-(3x-3)

5x-3-3x+3

5x-3x

2x

Find the size of angle x.

Answers

Answer:

x = 111

Step-by-step explanation:

180- 82 -29 is 69 and 180-69 is x which x is equal to 111

Answer:

111°

Step-by-step explanation:

By exterior angle theorem:

[tex]x = 82 \degree + 29 \degree \\ = 111 \degree[/tex]

Canterbury Cycles sells Harleys and pays each salesperson a commission of $800 for each cycle sold. During the month of December, a salesperson sold 3 cycles. The company pays commissions on the 5th day of the month following the sale. Which of the following statements is true?a. The salesperson will recognize commission revenue earned in the amount of 2400 in Decemberb. The company will recognize commission expense in the amount of $2,400 in December.c. The salesperson will recognize commission expense in the amount of $2,400 in January.d. The salesperson will recognize revenue in the same month that the cycle dealer recognizes expense.

Answers

Answer: The company will recognize commission expense in the amount of $2,400 in December

Step-by-step explanation:

Based on the information given in the question, the company will recognize commission expense in the amount of $2,400 in December.

A commission is regarded as a fee which is paid to a salesperson by a company in exchange for completing a sale.

It should be noted that in the accrual basis of accounting, commission should be recorded in the same period as when the sale generated was generated.

Answer:

b. The company will recognize commission expense in the amount of $2,400 in December.

Step-by-step explanation:

Based on the information given the statements that is true will be: THE COMPANY WILL RECOGNIZE COMMISSION EXPENSE IN THE AMOUNT OF $2,400 IN DECEMBER reason been that each salesperson were paid a commission in the amount of $800 for each cycle sold, which is 3 cycles during the month of December.

Calculation to determine the Commission Expense

Commission Expense=$800*3 cycles

Commission Expense=$2,400

Therefore The company will recognize commission expense in the amount of $2,400 in December.


Sara has 5 blue bows and 7 white bows in a bag for her fellow cheerleaders to wear in their hair for each game. The bows are
pulled out randomly by the team. Determine if the following is an
Independent or a Dependent event. Then find the probability.

1.) Sara pulls out a blue bow and her teammate pulls out a white bow.

Answers

Answer: The events are dependent

The probability is 35/132

==============================================================

Explanation:

If the first bow Sara pulls out isn't put back, then the two events are dependent. This is because the probability of pulling a white bow changes depending on what Sara pulls out.

If Sara pulls out a blue bow, then the teammate's chances of pulling a white bow are 7/11 because there are 7 white bows out of 4+7 = 11 left over (or you could compute 5+7-1 = 11).Or if Sara pulls out a white bow, then the chances of a teammate pulling out another white bow is 6/11 instead of 7/11. The probability has changed.

So again, it all depends on what Sara does because she goes first. This is of course not the case if Sara puts the bow back. If she put it back, then the chances of the teammate pulling the white bow is 7/12

---------

To find the overall probability of Sara selecting a blue bow and not putting it back, followed by a teammate getting a white bow, we multiply the fractions 5/12 and 7/11 to get (5/12)*(7/11) = 35/132

For more info, search out conditional probability.

Mr Zuro finds the mean height of all 13 students in his statistics class to be 68.0inches. Danielle walks in late. Danielle is 72.2 inches tall. What is the mean height of the 14 students in the class​

Answers

Answer:

68.3 inches

Step-by-step explanation:

Let the sum of the original 13 students heights be S, so the average of their heights are S/13.

We are given that average height of the original 13 students heights is 68 inches, so S/13 = 68 -> S = 68*13 = 884 inches.

The average of the heights of all 14 students is the sum of all 14 students (S + Danielle’s height) divided by 14. We are given that Danielle’s height is 72.2 inches, so the mean height of all 14 students is:

(S+72.2)/14 = (884+72.2)/14 = 68.3 inches

I hope this helps! :)

This table on a package of dog food tells how much to feed a dog, depending on its weight.  Weight of Dog (pounds)153045 Amount of Food (scoops)246 The amount of food in scoops (s) is related to the weight of the dog in pounds (p) by the equation s = kp. What is k?​

Answers

9514 1404 393

Answer:

  k = 2/15

Step-by-step explanation:

We can solve the given equation for k:

  k = s/p . . . . . . divide the given equation by p on both sides

Using the first values from the table (15 pounds, 2 scoops), we have ...

  k = 2/15

The value of k is 2/15.

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