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3 years ago

Find the value of each expression using the given information cot∅=8, csc<0 find sin ∅

Mathematics

1 answer:

Oksana_A [137]3 years ago

6 0

9514 1404 393

Answer:

sin(∅) = -√65/65

Step-by-step explanation:

The identities that relate the cotangent, the cosecant, and the sine are ...

csc² = 1 +cot²

sin = 1/csc

_____

For the given values, we find ...

csc(∅)² = 1 +cot(∅)² = 1 +8² = 65

csc(∅) = -√65 . . . . . . . . . . . . . . . . square root with attention to sign

sin(∅) = -1/√65 = (-√65)/65

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3 years ago

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In the diagram, the radius of the outer circle is

JulijaS [17]

the value of x is 8 cm.

<u>Step-by-step explanation:</u>

Correct Question : In the diagram, the radius of the outer circle is 2x cm and the radius of the inside circle is 6 cm. The area of the shaded region is 220π cm2. What is the value of x? Enter your answer in the box.

We have ,

the area of a circle = πr²

the outer circle area = $\pi(2x)^2 =4\pi x^2$

the inside circle area = $\pi (6)^2= 36\pi$

According to Question,

the outer circle area - the inside circle area = he shaded region

⇒ $\pi (4x^2)-36\pi =220\pi$

⇒ $x^2-9 =55$

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5 0

3 years ago

Sorry i have another question what is the inequality of 8x−8≤−72.

vova2212 [387]

That answer is x≤−8

Inequality:

8x−8≤−72

Step number 1: You have to Add 8 to both sides.

8x−8+8≤−72+8

8x≤−64

Step number 2: You have to Divide both sides by 8.

8x /8 ≤ −64 / 8

Ur Answer:

x≤−8

Hope this helps :)

7 0

4 years ago

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