Answer:
2^3*2^4=4^7 is wrong.
Step-by-step explanation:
2^3*2^4=2^7
Coterminal angles are angles that end in the same position on a unit circle.
We can find angles that are coterminal to -4pi/3 by adding and subtracting 2pi.
-4pi/3 + 2pi = 2pi/3
The answer is 2pi/3
Look at!!:
Pre image A(3,4), B(1,5) C(6,6);
If you multiply these coordinates by 3/2, you get its images:
A(3,4) ⇒ A`(3*3/2, 4*3/2)=(4.5, 6)
B(1,5) ⇒B`(1.*3/2, 5*3/2)=(1.5, 7.5)
C(6,6) ⇒C`(6*3/2, 6*3/2)=(9,9)
Therefore the scale factor is 3/2.
When the scale factor of a dilation is >1, then we have an enlargement, an expansion.
In this case 3/2=1.5>1
Answer:
The dilation is expansion.
The scale factor is 3/2.
Answer:
Length: 116
Width: 21
Step-by-step explanation:
Let's say that the width of carpet is x. If the length of the carpet is 95 inches more than the width, then let's say that the width is x + 95.
Since we are solving for the perimeter, you have to multiply the width and the length(x and x + 95) by two.
So,
2x + 2x + 190 = 274.
Simplify this and you get:
4x= 274 - 190
4x = 84
x= 21
So, the width is 21. This means that the length is 21 + 95.
21 + 95 = 116
If Ann can build the model in 3 hours, then in 1 hour she gets 1/3 of it done. Likewise, if Sam can build the model in 6 hours, then in 1 hour he gets 1/6 of it done. We are looking to find how long it takes when they combine their efforts, so we will add the two together and set it equal to 1/x, x being the number of hours it takes for both of them to get the whole job done. The equation then looks like this: 
. You will have to find the common denominator to add those fractions, and once you do, cross multiply to solve for x.
