Answer:the answer would be 8.
Step-by-step explanation:
If you look at the reduced triangle, the height is 2. Therefore you would have to multiply by 4 instead of 0.4 even if the scale factor is 0.4. The reason is, you are enlarging the triangle to find the bigger triangle. If you did 0.4 times 2 you would get 0.8. But that wouldn’t make any sense if you said that that was the height of the ENLARGED triangle.
Given:
The expression is:

To find:
The value of the given expression when
and
.
Solution:
We have,

Putting
and
, we get

It can be written as

![[\because a^0=1,a\neq 0]](https://tex.z-dn.net/?f=%5B%5Cbecause%20a%5E0%3D1%2Ca%5Cneq%200%5D)


Therefore, the value of the given expression
when
and
.
Answer:
The volume of a sphere can be approximated by cylinders. As the number of cylinders approaches infinity the total volume of all the cylinder approaches the actual volume of the sphere.
Answer:
-0.69 feet per second
Step-by-step explanation:
We have dx/dt = 2 ft/sec, and we want to determine dy/dt.
x and y are related by the Pythagorean Theorem.
x²+y²=16²
Differentiate both sides of this equation with respect to t to get


Divide both sides by 2y

When x = 5 ft, we have
x²+y²=16²
5²+y²=256
y²=256-25=231
therefore
y= 

=-0.69
The top of the ladder is sliding down (because of the negative sign in the result) at a rate of -0.69 feet per second.