42in.^2 should be the answer that you are looking for. Hope this helps
Answer:
Step-by-step explanation:
LA, Laterial Surface Area, is the lateral surface area of a pyramid. In this case, it is the sum of five triangles with base of 12cm and height that can be calculated as follow:
height^2 = 8.26^2 + 20^2 = 468.23
height = 21.64cm
LA = 5*1/2*12*21.64
= 649.2cm^2
SA, Surface Area, is the sum of LA and base area.
Base area = 5*1/2*12*8.26 = 247.8cm^2
SA = 649.2 + 247.8 =897cm^2
Volume, V = 1/3 * base area * height
= 1/3 * 247.8 * 20
= 1652cm^3
Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identity
sin²x + cos²x = 1 ⇒ sin²x = 1 - cos²x
Given
sin²x + 7cosx + 17
=1 - cos²x + 7cosx + 17
= - cos²x + 7cosx + 18 ← factor out - 1 from each term
= - (cos²x - 7cosx - 18)
Consider the factors of the constant term (- 18) which sum to give the coefficient of the cosx term (- 7)
The factors are - 9 and + 2, thus
= - (cosx - 9)(cosx + 2) ← in factored form
The correct answer is B. 72 because you can multiply 3*6*4 to represent every combination possible.