cos a = 3/4
Step-by-step explanation:
Step 1: Given details are cos(a)^4 - sin(a)^4 = 1/8
Now, cos(a)^4 can also be written as (cos²a)² and sin(a)^4 can be written as (sin²a)²
⇒ (cos²a)² - (sin²a)² = 1/8
Step 2: Apply the formula for a² - b² = (a - b) (a + b). Here a = cos²a and b = sin²a
⇒ (cos²a)² - (sin²a)² = (cos²a - sin²a) (cos²a + sin²a) = 1/8
⇒ (cos²a - sin²a) = 1/8 since cos²a + sin²a = 1
⇒ cos²a - (1 - cos²a) = 1/8 since sin²a = 1 - cos²a
⇒ 2 cos²a - 1 = 1/8
⇒ 2 cos²a = 1 + 1/8 = 9/8
⇒ cos²a = 9/16
⇒ cos a = 3/4
Answer:
15.2
Step-by-step explanation:
She makes 31% of her foul shots
she took 49 shots
the number of foul shots is 31% of 49 shots
=31% * 49
=0.31 * 49
= 15.19
Answer:
The net change is - $0.30
Step-by-step explanation:
3.5 - 3.7 = -.2
-.2 + 3.3 = 3.1
3.1 - 3.4 = -.3
It is shown that by looking at the formula for the volume of a cylinder (we assume that the trash can is cylindrical):
V = pi*r^2*h
We can conclude that the volume of the trash can is directly proportional to its radius and height. To wrap up, the volume would increase as the radius of the trash can's base, and its height would be increased as well.
Make two equations from the information. Then graph them and see where they intersect. The answer is 62 miles. Plug 62 back into both equations and they should both be the same number.
