A. It's a composite function, so basically, wherever you see a p, replace it with 5t, because we are given that information. So, your answer is:
![A[p(t)] = 5t \pi 2=10t \pi](https://tex.z-dn.net/?f=A%5Bp%28t%29%5D%20%3D%205t%20%5Cpi%202%3D10t%20%5Cpi%20)
B. Let's use the function we created, and just plug in 2 for t:
![A[p(2)] = 10(2) \pi](https://tex.z-dn.net/?f=A%5Bp%282%29%5D%20%20%3D%2010%282%29%20%5Cpi%20)
![A[p(2)] = 62.83](https://tex.z-dn.net/?f=A%5Bp%282%29%5D%20%3D%2062.83)
So, your answer is
(approximately)
62.83 units².
Answer:
<em>The length of the straw is 13.53 cm</em>
Step-by-step explanation:
<u>Rectangular Prism</u>
A rectangular prism or cuboid is a box-shaped object. It has six flat faces and all angles are right angles. And all of its faces are rectangles.
If the straw must reach into the diagonally opposite corners of the base of the carton, then its minimum length is calculated by:
Where a,b, and c are the dimensions of the cuboid. The image shows the dimensions of the drink carton: a=6 cm, b=10 cm, c=4 cm (order is not important), thus:
d= 12.33 cm
The straw must stick out of the carton by an additional 1.5 cm, thus the total length of the straw is: 12.33 + 1.5 = 13.53 cm
The minimum is 21 cause its the smallest.
Maximum should be 87.
I believe this is correct.
Volume of sphere = 4/3 x PI x r^3
= 4/3 x 3.14 x 6^3
= 904.3 cubic meters
Volume of cone = PI x r^2 x h/3
h = √13^2-5^2 = 12
= 3.14 x 5^2 x 12/3
= 314 cubic meters
