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4vir4ik [10]
3 years ago
9

Mia enlarged a plan for an outdoor stage. The original plan is shown below. She dilated the outdoor stage by a scale factor of 4

with the center of dilation at the origin. Which ordered pair will be the coordinates of one of the new vertices? A (2,1) B (8,16) C (32,4) D (32,16)

Mathematics
2 answers:
garik1379 [7]3 years ago
5 0
Since you didn't give the original picture, I can only explain the process. Then, you need to select the correct point.

In a dilation, we multiply the coordinates by the scale factor. Take the points that you have and multiply them all by 4. Then, look for a point making your new coordinates.
yawa3891 [41]3 years ago
5 0

Answer:

D (32,16)

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  Please see the attached photo.

In the photo, the four vertices are:

(-5,4)  by a scale factor of 4 (-20, 16)

(8, 4)  by a scale factor of 4 (32, 16)

(-6, -2)  by a scale factor of 4 (-24, -8)

(8, -2)   by a scale factor of 4 (31, -8)

So only D is correct.

Hope it will find you well.

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Anyone help me with this?
den301095 [7]

h = 4(x+3y) + 2

4×x = 4x

4×3y= 12y

4x+12y+2

x= \frac{12y+2}{4} \\\

tell me if im wrong

ignore the last bit, x=$

4 0
3 years ago
Find the surface area of a cylinder with a base radius of 2 yd and a height of 3 yd.
kherson [118]

Answer:

20 π

Step-by-step explanation:

The surface area of a cylinder is made up of 2 circles and its side.

To find the circles' areas, use the area formula for a circle: A = πr^2.

Since our radius is 2 yd, we can substitute r = 2 into this formula.

A = π2^2 = 4π

Now remember, this is only the area of once circle. Multiply 4π by 2 to get the area of both circles: 8π.

Now we need to find the surface area of the side.

If we flatten it out, we can see that the side is actually a curled up rectangle.

The length is the circumference of the circle and the width is the height of the cylinder.

To find the circumference, use the circumference formula for a circle: C = 2πr.

Substitute r = 2 into the formula.

C = 2π2 = 4π

Now that we know that the length is 4π, we can multiply the length by the width to find the area of the cylinder's side.

l = 4π

w = 3

A = lw = 4π * 3 = 12π

Finally, we can add the areas of the circles and the side to get the total surface area.

8π + 12π  = 20π

And that is your answer!

Please mark as Brainliest! :)

3 0
3 years ago
The formula I = PRT is used to calculate the amount of simple Teresa earned. Solve this formula for T
Dmitrij [34]

To solve this formula for T, divide both sides of the original equation by PR:

  I         PRT

------ = ---------   =>    T = I / (PR)

PR        PR

Please note:  Because the formula I = PRT involves neither addition nor subtraction, the final formula for T cannot involve either addition nor subtraction.  That leaves:

T = I P/R

T= IPR

The second formula here is incorrect; we cannot solve I = PRT for T simply by rearranging the order of the variables.  This leaves T = I P/R as a possible answer, but this answer does not agree with my   T = I / (PR).  Please double check to ensure that you have copied down the four possible answers correctly.


8 0
3 years ago
The hypotenuse of a right triangle is 10 ft long. the shorter leg is 2ft shorter than the longer leg. find the side lengths of t
Gwar [14]
Since we have two possible pieces of information and 2 items to solve for, we know this is a system of equations.
Our first piece of information is that our shorter leg (s) is 2 feet shorter than our longer leg (l). This can be written as s=l-2.
Our second piece of information is that using the Pythagorean theorem that our shorter leg squared plus our longer leg squared is equal to our hypotenuse squared. This can be represented by s^2+l^2=10^2. Now we can solve.
We have already isolated for s in our first equation, so we can substitute l-2 in.
(l-2)^2+l^2=10^2
l-2+l=10
2l-2=10
2l=12
l=6
Now we can substitute in for s in our simpler equation
s=6-2
s=4
We now know that using our knowledge of systems of equations, the side lengths of this right angle triangle are 6 and 4.
5 0
3 years ago
The distribution of cholesterol levels in teenage boys is approximately normal withnbsp mu equals 170 and sigma equals 30 ​(Sour
ddd [48]

Answer: 0.0336

Step-by-step explanation:

Given : The distribution of cholesterol levels in teenage boys is approximately normal with mean :\mu= 170

Standard deviation : \sigma= 30

The formula for z-score is given by :-

z=\dfrac{x-\mu}{\sigma}

For x=225

z=\dfrac{225-170}{30}=1.83

The p-value =P(z>1.83)=1-P(z

=1-0.966375=0.033625\approx0.0336

The probability that a teenage boy has a cholesterol level greater than 225 =0.0336

4 0
3 years ago
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