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Alexandra [31]
3 years ago
7

In △ABC,c=71, m∠B=123°, and a=65. Find b. A. 101.5 B. 117.8 C. 123.0 D. 119.6

Mathematics
1 answer:
tia_tia [17]3 years ago
8 0

Answer:

Option D

Step-by-step explanation:

The questions which involve calculating the angles and the sides of a triangle either require the sine rule or the cosine rule. In this question, the two sides that are given are adjacent to each other the given angle is the included angle. This means that the angle B is formed by the intersection of the lines a and c. Therefore, cosine rule will be used to calculate the length of b. The cosine rule is:

b^2 = a^2 + c^2 - 2*a*c*cos(B).

The question specifies that c=71, B=123°, and a=65. Plugging in the values:

b^2 = 65^2 + 71^2 - 2(65)(71)*cos(123°).

Simplifying gives:

b^2 = 14293.0182932.

Taking square root on the both sides gives b = 119.6 (rounded to the one decimal place).

This means that the Option D is the correct choice!!!

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2 years ago
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natka813 [3]

Hey there! :)

Answer:

(2, -2)

Step-by-step explanation:

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Add 2x to both sides:

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Plug this equation for y into the second equation:

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3 years ago
The volume, V, of any cube with a side length, s. can be determined using the forma
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Answer:

V=12.167

Step-by-step explanation:

V=s^3

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2 years ago
If $525 is 40% of my take home pay for 1 week how much to I make in a week
Vlada [557]

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Step-by-step explanation:

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Solve -6 (4-x) &lt;-4 (x + 1).<br> O A. x ≤2<br> B. x &gt; 3<br> OC. x &lt;3<br> OD. 2
emmainna [20.7K]

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A

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