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2 years ago

What is the surface area of the right prism below?

Mathematics

1 answer:

Ilya [14]2 years ago

3 0

350
Find the area of each shape then add all of the areas to get your surface area

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Simplify using trigonometric identities<br> 2sinθ - sin2θ cosθ

Anit [1.1K]

Double angle identity for sine:

$\sin(2x) = 2 \sin(x) \cos(x)$

$\implies 2 \sin(\theta) - \sin(2\theta) \cos(\theta) = 2 \sin(\theta) - 2 \sin(\theta) \cos^2(\theta)$

Factorize the left side.

$2 \sin(\theta) - 2 \sin(\theta) \cos^2(\theta) = 2 \sin(\theta) \left(1 - \cos^2(\theta)\right)$

Pythagorean identity:

$\cos^2(x) + \sin^2(x) = 1$

$\implies 2 \sin(\theta) \left(1 - \cos^2(\theta)\right) = 2 \sin^3(\theta)$

so that

$\boxed{2 \sin(\theta) - \sin(2\theta) \cos(\theta) = 2 \sin^3(\theta)}$

8 0

1 year ago

A restaurant use 8 1/4 pounds of carrots to make 6 carrot cakes. Frank wants to use the same recipe. How many pounds of carrots

timofeeve [1]

Answer:

1 3/8 pounds

Step-by-step explanation:

divide 8 1/4 by 6

5 0

2 years ago

Read 2 more answers

If the area of a right-angled triangle is 47 56 cm and its height is 11.6 cm. finds its base.

Wewaii [24]

Answer:

820

Step-by-step explanation:

Hi so if your area is 4756, the base would be 820

8 0

2 years ago

A multiplication problem that will give you the answer 24x⁷

N76 [4]

7x7(12+9) to the power of 3

4 0

2 years ago

On January 31, Jean Marie’s business receives a bill for that month’s utilities in the amount of $500. Jean sets it aside becaus

marissa [1.9K]

On January 31, Jean Marie’s business receives a bill for that month’s utilities in the amount of $500. Jean sets it aside because she does not plan to pay the bill until its due date of February 15. What effect, if any, does this event have on the company’s accounting equation as of January 31?

Solution: The event that Jean does not plan to pay the bill until due date of February 15 must be recorded. Recording this event would increase the liabilities and decrease equity on January 31.

4 0

2 years ago