Triangle ABC has vertices A(1,4), B (-3,5) and C(-2, 4) and is rotated 90
degrees clockwise about the origin. What will be the coordinates of C'?
O (2,-4)
O (4,-1)
O(-4,-2)
O (4,2)

The number 91.470 is the rational number.

For the given number.

91.470 can be written in the fraction as;

91470/1000

Or 914/100

As, the form is p/q where q ≠ 0.

Thus, the number 91.470 is the rational number.

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The option that can be the length of one wall with the correct number of the significant digit is A)2.51 meters.

From the information given, Janna is measuring the dimensions of her bedroom to determine how much paint she should buy for the walls was stated that the measurements have increments of 0.01 meter.

It's important to note that there are 2 decimal places.

In this case, the appropriate option is 2.51 meters.

In conclusion, the correct option is A.

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First, we need to change 1.476 minute to seconds

1.476 minutes = 1.476 x 60= 88.56 seconds

Let the number of times they flap there wings in 1.476 minute be X

69 times = 4 seconds

X = 88.56 seconds

cross-multiply

4X = 69(88.56)

4X= 6110.64

Divide both-side of the equation by 4

X = 1 527.66 ≈ 1 528 times

Amplitude = (Maximum + Minimum)/2 , = (1 + 1.8)/2= (2.8)/2= 1.4

Period = distance for the function to repeat. So, the distance is from -0.5 to 3.5, then it is 4, then it is smaller than 2 times pi number.

C is the distance from the Y axis to the function.

D is the horizontal line that passes through the middle of the distance between the maximum and minimum point, which is in that case the same one as the period has to use

Then, the formula is:

Given

Circumference, C = 16m

Find

diameter

Explanation

We know Circumference of a circle

diameter = 2r

Answer:

yh no question....thanks for the points tho :)

We know that two angles shown have to add to a right angle, which measures 90°, then we have the equation:

Hence, the value of x is 15°; which means that:

Therefore, the angles are 75° and 15°

We have a line with slope -2. A parallel line would have a slope of -2 too, and a line perpendicular to it will have a slope of 1/2.

If line A is perpendicular to B, the slope of B is the inverse multiplicative of the sloe of A. That is why a line perpendicular to the one with slope -2 is 1/2:

Now we know the slopes for both cases: parallel and perpendicular. If the slope is different to -2 or 1/2, we can say that is not parallel nor perpendicular to the line given.

Let's evaluate the slope of the line that passes through points (-2, 1) and (6,5).

The slope is given by the following formula:

Where x₁ and y₁ are the x and y-coordinates of the first point (-2 and 1), and x₂ and y₂ are the x and y coordinates of the second point (6 and 5, respectively).

Replacing values:

The slope of the line passing through the points given is 1/2, then, according to what was said above, that line is perpendicular to a line with slope -2.

Here we will try to solve an equation involving a variable ( x ) given as follows:

We use the following basic mathematical operations when solving any equation:

We will first try to isolate our vairable ( x ) on either side of the " = " sign. We will try to isolate ( x ) on the right hand side of " = " sign. To do this we will employ the mathematical operation of " Subtraction ".

We will subtract ( 1 / 2 x ) from both sides of " = " sign:

The next mathematical operation we will apply is " Division ". We will divide the left hand side of the equation with right hand side constant as follows:

The solution to the given equation is as follows:

Answer:

y = 3x + 3 :D

Step-by-step explanation:

Equation of line: y = mx + b :)

b: Y intercept

m: Slope

Now lets solve :)

Lets find M first :)

We need 2 points so lets use (0,3) and (1,6) :)

We fist need to subtract :)

6 - 3 = 3

1 - 0 = 1

Now we divide :)

3/1 = 3

Lets put that into our equation :)

y = 3x + b

Now lets find B :)

To find b, we need to see where the line intercepts the y axis! This will be at point (0,3)!

The y intercept will be 3 :)

The final equation will be y = 3x + 3 :)

Have an amazing day!!

Please rate!

The length of the sides of a triangle are 5, 6 and 7.

If the perimeter of a similar triangle is 36

Perimeter of a triangle = a + b+ c

The perimeter of the first triangle is

P = 5 + 6 + 7

P = 11 + 7

P = 18

To find the smallest lengths

18 / 36 = 5 / x

Introduce cross multiplication

36 x 5 = 18 * x

180 = 18x

Divide both sides by 18

180/18 = 18x/18

x = 180/18

x = 10

The answer is 10

Karma will make $99.78 if she sells 110 pounds of rice to the vendor

Quantity of rice available with Karma = 110 pounds

A pound is a unit of weight that is mostly used in the United States, Great Britain, and other English-speaking nations. A pound is approximately 0.454 kilos. A quantity of something is said to weigh one pound if it weighs that much.

The conversion rate of pounds to grams:

1 pound = 453.59 grams

So, 110 pounds will be equal to:

110*453.59

=49894.9 grams

Selling price for 5 grams = $0.01

Selling price for 1 gram:

The selling price of 5 grams/ Price for 5 grams

0.01/5

=$0.002

Selling price for 49894.9 grams = 49894.9*0.002

= $99.78

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ANSWER

3200 m²

EXPLANATION

Peter wants to build a fence around a rectangular field, except for one side because the river is there,

So, the total perimeter of the fence is,

And this is equal to 160 m. Solving for L,

The area of this field is,

Replace L with the expression we found from the perimeter,

The area is given by a quadratic function whose leading coefficient is negative, which means that the graph is a downward parabola and, therefore, the vertex is the maximum value of the area.

The x-coordinate of the vertex is given by,

In this case, x is W, a = -2, and b = 160, so the width of the field for the maximum area is,

And the length when W = 40 is,

And the area is,

Hence, the largest area of Peter's farm that can be fenced is 3200 square meters.

The feedback loops in each situation are classified as follows:

a) Positive.

b) Negative.

In the context of this problem, in item a, there is a continuous amplification of the output signal, which is the surface temperatures, as they keep increasing, the three effects listed contribute to the increase of temperature, then the system go back to the beginning still with increasing temperatures, hence it is a positive feedback loop.

In item b, we have a loop with changes in the temperature, it increases and then it decreases, and so on, hence it is a negative feedback loop.

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The probability (area under the curve) of picking a client who spends between $57 and $83 per month is 0.4032.

Given,

Mean, μ = $70

Standard Deviation, σ = $10

z = (x-μ) ÷ σ

P(The consumer was charged from around $70 and $83),

P(70 ≤ x ≤ 83) = P((70 - 70) ÷ 10)) ≤ z ≤ ((83-70) ÷ 10)) = P(0 ≤ z ≤ 1.3)

=P(z ≤  1.3) - P(z ≤ 0)

=0.9032 - 0.500 = 0.4032 = 40.32%

P(70 ≤ x ≤ 83) = 40.32%

Customers with Key Refining Company loans typically spend an average of $70 monthly on gasoline and servicing. With either a standard deviation of $10, the expenditure distribution is about normal. For z = 1.3, the area under the curve is 0.4032.

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well, a year has a total of 12 months, so 3 months is really 3/12 of a year.

[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$2700\\ r=rate\to 8.2\%\to \frac{8.2}{100}\dotfill &0.082\\ t=years\to \frac{3}{12}\dotfill &\frac{1}{4} \end{cases} \\\\\\ A=2700[1+(0.082)(\frac{1}{4})] \implies A = 2700(1.0205)\implies A=2755.35[/tex]

Initial TV price, $1,260

price reduction, $189

percentages:

reduction percentage or discount = 189/1260 = 0.15 = 15%

The above indicates the percentage by which the price was reduced or the discount obtained

percentage paid = (1260-189) / 1260 = 0.85 = 85%

This indicates that we paid 85% of the initial price.

The biconditional for the conditional statement is : Two line intersect each other at right angles . The two lines are perpendicular.

A conditional statements are part of mathematical reasoning, a fundamental ability that enables students to evaluate a given hypothesis without reference to a particular context or meaning.

The truth value for the conditional statement is true as we know that when two lines intersect at 90° then they are said to be perpendicular.

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step 1

see the attached figure to better understand the problem'

step 2

Hypotenuse is AB

Opposite side is BC

Adjacent side is AC

because, the opposite side is the side opposite to the given angle (35 degrees)

adjacent side is the side adjacent to the given angle (35 degrees) and the hypotenuse is the greater side of a right triangle (is the opposite side to the angle of 90 degrees)

step 3

To find out the value of L

we use

cos(35)=40/L -----> adjacent side divided by the hypotenuse

step 4

solve for L

L=40/cos(35)

step 5

L=48.83 ft

step 6

the length of the ladder must be greater than 48.83 ft

step 7

A 50 ft ladder long is enought

because 50 > 48.83

Answer:

Step-by-step explanation:

You want the lengths of the unknown sides in the given trapezoid figure, knowing that the perimeter is 18 units.

The side AB is a vertical line segment, so its length can be found by finding the difference of y-coordinates of its end points.

  AB = (2) -(-4) = 2+4 = 6

The length of AB is 6 units.

The sum of the lengths of vertical and horizontal segments is ...

  AB +BC +CD = 6 +4 +3 = 13

The total distance from A to D along vertical and horizontal segments is 13 units.

The perimeter is the sum of the lengths of all sides.

  perimeter = AB +BC +CD +AD

  18 = 13 + AD . . . . . . substitute known values

  5 = AD . . . . . . . . . subtract 13

The length of segment AD is 5 units.

__

Additional comment

Finding the length of a vertical or horizontal line is no different than finding the distance between two points on a number line.

Congruence and similarity criteria are used to determine congruence and proportional relationships respectively. That is, congruence criteria is used to establish a relationship of equivalence, and similarity criteria is used to establish a relationship of proportion with a common ratio between the figures.

Given

Procedure

Exponential form

Answer:

250

Step-by-step explanation:

everything u need is in the picture

Let's see how two points on the left are mapped to their corresponding points on the right:

Point A has a corresponding point at A'. We have:

f(A) = A'

f(-6, -3) = (2, 4)

Point B has a corresponding point at B'. We have:

f(B) = B'

f(-4, -1) = (4, 6)

Now, notice that:

2 = -6 + 8

4 = -3 + 7

So, for (x, y) = (-6, -3), we have:

f(x, y) = (2, 4) = (x + 8, y + 7)

Notice that the same happens to the mapping of the other point:

4 = -4 + 8

6 = -1 + 7

So, for (x, y) = (-4, -1), we have:

f(x, y) = (4, 6) = (x + 8, y + 7)

Therefore, the rule for the transformation is

f(x, y) = (x + 8, y + 7)

x = -1

The given equations:

y = 2x - 6

y = -6x - 14

Since both equations are equal to y, we will equate the right hand side of both equations.

y = y

2x - 6 = -6x - 14

collect like terms:

2x + 6x = -14 + 6

8x = -8

divide both sides by 8:

8x/8 = -8/8

x = -1

The inequality that represents the number of auction tickets,t, the student council must sell is given as 125t ≥ 2000.

Inequalities are created through the connection of two expressions. It should be noted that two expressions in an inequality aren't always equal. They are denoted by the symbols ≥ < > ≤ 

Let the total number of tickets be represented by t.

The auction ticket costs $125 and the student council needs to raise greater than or equal t $2,000. This will be 125t ≥ 2000.

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Answer:

Explanation:

Given the equation:

To solve for k, let us take the reciprocal of both sides, so that k is a numerator.

Multiply both sides by 12

The total cost of her trip will be of $159.7.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. We have LHS = RHS (left hand side = right hand side) in every mathematical equation. To determine the value of an unknown variable that represents an unknown quantity, equations can be solved. A statement is not an equation if it has no "equal to" sign.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation.

given:

Cost of 16 cents per mile= 16/100 = 0.16

Cost of $52.50 per day =52.50

linear function for the charge y in function of the number of miles x is:

y(x) = 0.16x + 52.50

The cost of driving 670 miles

So, y(670) = 0.16 x 670 + 52.50

y(670) = 107.2 + 52.50

y(670) = 159.7

Hence, The total cost of her trip will be of $159.7.

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Here, we want to calculate the interquartile range

Mathematically, this is the difference between the lower quartile (1st quartile or 25th percentile) and the upper quartile (3rd quartile or 75th percentile)

We already have the numbers arranged from top to bottom

The count of numbers is 9 numbers

We have the first quartile as;

The third term here is the weight of baby Selena

The 3rd quartile can be calculated as;

The 8th term is the weight of baby Me

The difference between these weights give the interquartile range as follows;

Answer:

2777.7777... subs

Step-by-step explanation:

11000+400+1300+300=13000

6-1.32=4.68

13,000/4.68

=2777.777777...