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Bezzdna [24]
2 years ago
11

Given: m space measured angle space C space equals space 76, a = 20, and b = 13. What is the length of c to the nearest tenth?

Mathematics
1 answer:
Komok [63]2 years ago
5 0

Based on the given parameters, the length of c is 8.0 units

<h3>How to determine the side length of c?</h3>

The given parameters are

Angle c = 76 degrees

Side a = 20

Side b = 13

The length of c is then calculated using the following law of sines

c^2 = a^2 + b^2 - 2absin(C)

Substitute the known values in the above equation

So, we have

c^2 = 20^2 + 13^2 - 2 * 20 * 13 * sin(76)

Express 20^2 as 400

c^2 = 400 + 13^2 - 2 * 20 * 13 * sin(76)

Express 13^2 as 169

c^2 = 400 + 169 - 2 * 20 * 13 * sin(76)

Evaluate the product and sin(76)

c^2 = 400 + 169 - 520 * 0.9703

Evaluate the product

c^2 = 400 + 169 - 504.55

Evaluate the exponents

c^2 = 400 + 169 - 504.55

So, we have

c^2 = 64.45

Evaluate the square root

c = 8.0

Hence, the length of c is 8.0 units

Read more about law of sines at:

brainly.com/question/16955971

#SPJ1

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C

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1. Conan needs 4 hours to rehearse and host a good show.  Andy needs 10 hours to do the same. So, Cohan needs 6 hours less than Andy to  rehearse and host a good show. This means Cohan has an absolute advantage in the production of show hosting.

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4 0
3 years ago
Ali, Ben, and Cliff plant seedlings in their neighborhood park. Ali plants 40% of the total number of seedlings, Ben plants 45%
Juli2301 [7.4K]

Answer:

580 seedlings altogether.

Step-by-step explanation:

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Ali plants 40% of the total number of seedlings, Ben plants 45% of the total number of seedlings, and Cliff plants the rest of the seedlings. Cliff plants 87 seedlings.

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A(n) _____ is a line drawn from one part of a circle's circumference to another without passing through the center.
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Answer:

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2 years ago
According to ​Lambert's law​, the intensity of light from a single source on a flat surface at point P is given by Upper L equal
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Answer:

(a) L = k*(1 - sin^{2}(\theta))        

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Step-by-step explanation:

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L = k*cos^{2}(\theta)   (1)

(a) We can rewrite the above equation in terms of sine function using the following trigonometric identity:

cos^{2}(\theta) + sin^{2}(\theta) = 1

cos^{2}(\theta) = 1 - sin^{2}(\theta)  (2)

By entering equation (2) into equation (1) we have the equation in terms of the sine function:

L = k*(1 - sin^{2}(\theta))        

(b) When θ = 0, we have:

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We know that cos(θ) is a trigonometric function, between 1 and -1 and reaches its maximun values at nπ, when n = 0,1,2,3...

Hence, L reaches its maximum value when θ = 0 because cos²(0) = 1.

I hope it helps you!

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