16 of his stamps are from Africa, since 1/4 of 64 is 16. If I subtract his 28 from Europe and Africa (16 plus 12 equals 28) from his original 64, I am left with 36 stamps. 36/64 is simplified to 9/16. So 9/16 of Terrence's stamps are from Asia.
Answer:
Volume = 16 unit^3
Step-by-step explanation:
Given:
- Solid lies between planes x = 0 and x = 4.
- The diagonals rum from curves y = sqrt(x) to y = -sqrt(x)
Find:
Determine the Volume bounded.
Solution:
- First we will find the projected area of the solid on the x = 0 plane.
A(x) = 0.5*(diagonal)^2
- Since the diagonal run from y = sqrt(x) to y = -sqrt(x). We have,
A(x) = 0.5*(sqrt(x) + sqrt(x) )^2
A(x) = 0.5*(4x) = 2x
- Using the Area we will integrate int the direction of x from 0 to 4 too get the volume of the solid:
V = integral(A(x)).dx
V = integral(2*x).dx
V = x^2
- Evaluate limits 0 < x < 4:
V= 16 - 0 = 16 unit^3
X is greater than or equal to -5
Answer:

Step-by-step explanation:
All the angles in a triangle add up to 
Every right angle triangle has a right angle in it which is 
So to find the remaining angle, you do
-
-
= 
She completed 3/4 of her homework