<u>Answer and explanation</u>
(1+sinθ)(1-sinθ)=cos²θ
We are to prove that the left hand side is equal to the right hand side.
(1+sinθ)(1-sinθ) = 1(1-sinθ) + sinθ(1-sinθ)
= 1 - sinθ + sinθ - sin²θ
= 1 - sin²θ
From the trigonometric identity sin²θ + cos²θ = 1,
1 - sin²θ = cos²θ
Most likely to be letter C
Answer:
Step-by-step explanation:
<u>Use properties</u>
10.
- (-t⁴)³ = -t⁴ˣ³ = -t¹²
- Option A
11.
- (t⁸)² = t⁸ˣ² = t¹⁶
- Option C
12.
- (x⁻³)⁻⁵x⁶ = x⁽⁻³⁾ˣ⁽⁻⁵⁾x⁶ = x¹⁵x⁶ = x¹⁵⁺⁶ = x²¹
- Option A
Answer:
Volume of the cone= 
Step-by-step explanation:
Volume of a right circular cone:
For, height(h)= 4.5 feet
Diameter= 19 feet
Radius(r)= 19/2= 9.5 feet
As, 
Volume of the cone :
The volume of the cone with given dimensions is
Answer:
Step-by-step explanation:
1) "The length of a rectangle is three more than twice the width." This can be written in a math sentence as
L = 2W + 3
where "twice the width" is 2W and "three more" is just adding 3.
2) "Perimeter is 36 inches". Recall the formula for the perimeter of a rectangle
P = 2W + 2L
set the formula to 36 and that gives us our second equation: 36 = 2W + L
then use substitution do solve
