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Lostsunrise [7]
3 years ago
8

Find X. Round to the nearest tenth. Law of Cosines : c2 = 22 + b2 - 2ab cos C

Mathematics
1 answer:
fiasKO [112]3 years ago
7 0

Answer:

70.5°

Step-by-step explanation:

22² = (20)²+(18)² - 2(20)(18) cos X

484 = 400 + 324 - 720 cos X

-240 = -720 cosx

1/3 = cos X

cos^{-1}(\frac{1}{3}) = X

X = 70.52877937

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Answer:

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Step-by-step explanation:

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group like terms

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8 0
2 years ago
Find the range of the function F(x) = the integral from 0 to x of the square root of 4-t^2 dt
ioda

Note that √(4 - t²) is defined only as long as 4 - t² ≥ 0, or -2 ≤ t ≤ 2. Then the real integral exists only if -2 ≤ x ≤ 2. (Otherwise we deal with complex numbers.)

If x = 2, then the integral corresponds to the area of a quarter-circle with radius 2. This means that the integral has a maximum value of 1/4 • π • 2² = π.

On the opposite end, if x = -2, then the integral has the same value, but the integral from 0 to -2 is equal to the negative integral from -2 to 0. So the minimum value is -π.

For all x in between, we observe that the integrand is continuous over the rest of its domain, so F(x) is continuous.

Then the range of F(x) is the interval [-π, π].

8 0
2 years ago
Whats 42/99 in simplest form.
const2013 [10]

Answer:

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Step-by-step explanation:

6 0
3 years ago
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7 0
2 years ago
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23 ones x 2 tens= answer
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53
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