The double angle formula for the sine is
The right hand side is exactly your expression, where 
So, rewriting the expression from right to left, we have
Answer:
V = 1538.6 cm^3
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2h where r is the radius and h is the height
V = pi (7)^2 10
V = 3.14 (49)10
V = 1538.6 cm^3
Answer:
-2 x 3 + t = -6
Step-by-step explanation:
Answer:
Step-by-step explanation:
Remark
2 angles are complementary means that 2 angles add up to 90°. That is the guiding princeple behind the problem.
Givens
Let the smallest angle = x
Let the largest angle = 4x + 30
Equation
4x + 30° + x = 90° Combine like terms on the left
Solution
5x + 30 = 90 Subtract 30 from both sides.
5x + 30 - 30 = 90 - 30 Combine
5x = 60 Divide both sides by 5
5x/5 = 60/5
x = 12
Answer
- smallest angle = 12
- Larger angle = 4*12 + 30 = 78
