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4 years ago

What is the scale factor of the dilation?

Mathematics

1 answer:

dusya [7]4 years ago

6 0

Answer:

$\dfrac{1}{2}$

Step-by-step explanation:

It is given that triangle ACB is the preimage and triangle DFE is the image.

We need to find the scale factor of the dilation.

$\text{Scale factor}=\dfrac{\text{Side of image}}{\text{Corresponding side of preimage}}$

In the given triangles, side AC and DF are corresponding sides.

$\text{Scale factor}=\dfrac{DF}{AC}$

$\text{Scale factor}=\dfrac{6}{12}$

$\text{Scale factor}=\dfrac{1}{2}$

Therefore, the scale factor of the dilation is $\dfrac{1}{2}$ .

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3 years ago

What is the measurement of angle x

djyliett [7]

C is a vertical angle which the vertical side is corresponding to the vertical side of x°.

105°+54°+y°=180°

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5 0

3 years ago

How would I do the steps to solve this?

allsm [11]

Answer:

The maximum revenue is 16000 dollars (at p = 40)

Step-by-step explanation:

One way to find the maximum value is derivatives. The first derivative is used to find where the slope of function will be zero.

Given function is:

$R(p) = -10p^2+800p$

Taking derivative wrt p

$\frac{d}{dp} (R(p) = \frac{d}{dp} (-10p^2+800p)\\R'(p) = -10 \frac{d}{dp} (p^2) +800 \ frac{d}{dp}(p)\\R'(p) = -10 (2p) +800(1)\\R'(p) = -20p+800\\$

Now putting R'(p) = 0

$-20p+800 = 0\\-20p = -800\\\frac{-20p}{-20} = \frac{-800}{-20}\\p = 40$

As p is is positive and the second derivative is -20, the function will have maximum value at p = 40

Putting p=40 in function

$R(40) = -10(40)^2 +800(40)\\= -10(1600) + 32000\\=-16000+32000\\=16000$

The maximum revenue is 16000 dollars (at p = 40)

3 0

3 years ago

Please solve with working!! thanks

Katarina [22]

Answer:

x=5

y=7

z=6

Step-by-step explanation:

I know because Figure 1 the number is 9 and in figure 2 the number is 3 so it must of divided by 3.

15/3=5

21/3=7

18/3=6

3 0

3 years ago

solve the following, if triangle PAR is congruent to triangle HER, what are the congruent corresponding parts?

RSB [31]

In this question, the triangles are congruence which means that the two triangles will have same side and angle. The corresponding part can be seen from how the triangle is written. In this case, the triangle seems to be reflected with vertical lines. Using the picture it would be:
PQ= TS
QR=SR
RP=RT

Since your written answer is not same with the picture, then the written answer version would be:
PA=HE
AR=ER
RP=RH

4 0

3 years ago