Answer:
See Explanation
Step-by-step explanation:
The question has missing details, as the scale factor is not given. However, I will give a general explanation on how to calculate the area and perimeter of a dilated shape (triangle).
The following assumptions, apply:
(1) Scale factor of 1/2 from the blue to the yellow triangle.
(2) The dimension of the blue triangle are:



First, calculate the dimensions of the yellow triangle.
The dimension will be the product of the scale factor and the dimensions of the blue triangle.
So, we have:



The perimeter of the blue triangle is:


The perimeter of the yellow triangle is:


Factorize
![P_2 = \frac{1}{2}[x + y + z]](https://tex.z-dn.net/?f=P_2%20%3D%20%5Cfrac%7B1%7D%7B2%7D%5Bx%20%2B%20y%20%2B%20z%5D)
Recall that: 
So:

<em>This implies that the perimeter of the yellow triangle is a product of the scale factor and the perimeter of the blue triangle.</em>
<em></em>
The area of the blue triangle is:



The area of the yellow triangle is:


Rewrite as:
![A_2 = \frac{1}{2}* \frac{1}{2} [\frac{1}{2}x h]](https://tex.z-dn.net/?f=A_2%20%3D%20%5Cfrac%7B1%7D%7B2%7D%2A%20%5Cfrac%7B1%7D%7B2%7D%20%5B%5Cfrac%7B1%7D%7B2%7Dx%20h%5D)
![A_2 = (\frac{1}{2})^2 *[\frac{1}{2}x h]](https://tex.z-dn.net/?f=A_2%20%3D%20%28%5Cfrac%7B1%7D%7B2%7D%29%5E2%20%2A%5B%5Cfrac%7B1%7D%7B2%7Dx%20h%5D)
Recall that:
So:

<em>This implies that the area of the yellow triangle is a product of the square of the scale factor and the area of the blue triangle.</em>
Answer is choice C
The expression given is equivalent to -3i
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Explanation:
Using a calculator, a reference sheet, or the unit circle, you'll find that:
cos(270) = 0
sin(270) = -1
So this means
z = 3(cos(270)+i*sin(270))
z = 3(0+i*(-1))
z = 3*0+3*i*(-1)
z = 0-3i
z = -3i
which is in a+bi form where a = 0 and b = -3
The answer to the first one is D. The numbers are being decreased by 6. The answer to the second one is A. The numbers are being multiplied by 10.
Divide 80/3 which equals 26.6. So it take Courtney 26.6 minutes to walk 1 mile. Then divide 110/26.6 which equals 4.1.
Courtney walls 4.1 miles in 110 minutes.
Answer:
0.96
Step-by-step explanation:
price of 0.75 inch paper clip = 0.02$
To get price of 36 inches
0.75 --------0.02
36. --------. X
X = (36*0.02)/0.75 = 0.96$