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wel
2 years ago
15

Use the law of cosines round to the nearest tenths

Mathematics
1 answer:
PtichkaEL [24]2 years ago
3 0

Answer:

x = 11.5

Step-by-step explanation:

Formula

a^2 = b^2 + c^2 - 2*b*c * cos(A)                     Substitute givens in formula

Givens

  • b = 31
  • c = 26
  • A = 21o
  • a = x                                                      Let a = x to present the formula in it's most normal way

Solution

a^2 = 31^2 + 26^2 - 2 * 31 * 26 * cos(21)       Find -2*31*26*cos(21)

a^2 = 961 + 676  -1504.93                             Combine

a^2 = 1637 -1504.93                                      Combine again

a^2 = 132.07                                                   Take the √ on both sides

√a^2 = √132.07

a = 11.5 Rounded.

Answer

x = 11.5

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A spherical balloon is being inflated at a rate of 3 cubic inches per second. Determine the change in the rate of the radius.How
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Answer:

The rate rate of change of radius is \frac{1}{48\pi} inches per second when the diameter is 12 inches.

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Step-by-step explanation:

Consider the provided information.

A spherical balloon is being inflated at a rate of 3 cubic inches per second.

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Differentiate the above formula with respect to time.

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Substitute the respective values in the above formula,

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3=4\pi 8^2\frac{dr}{dt}

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3 years ago
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Help me please with 3-111
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Last Question

Because this may not be the question you want, I'll omit the first step which should be done with latex. The key to all of these except C is to invert the second fraction (turn the second fraction upside down) and multiply.

A

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B

\dfrac{7}{4} *\dfrac{5}{3}

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D

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3 years ago
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Answer:

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7 0
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