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3 years ago

Rachel bought a soft drink for three dollars and six candy bars. She spent a total of $21. How much did each candy bar cost?

Mathematics

1 answer:

lubasha [3.4K]3 years ago

5 0

Let cost of each bar be m.
total amount spent = price of drink + price of bars
21 = 3 + 6m
21-3 = 6m
18 = 6m
m = 3$

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The solution to the triangle is A = 92.0, B = 47.9 and C = 40.1

<h3>How to solve the triangle?</h3>

The figure is not given;

However, the question can still be solved without it

The given parameters are:

a = 31, b = 23, and c = 20

Calculate angle A using the following law of cosine

a² = b² + c² - 2bc * cos(A)

So, we have:

31² = 23² + 20² - 2 * 23 * 20 * cos(A)

Evaluate

961 = 929 - 920 * cos(A)

Subtract 929 from both sides

32 =- 920 * cos(A)

Divide both sides by -920

cos(A) = -0.0348

Take the arc cos of both sides

A = 92.0

Calculate angle B using the following law of sine

a/sin(A) = b/sin(B)

So, we have:

31/sin(92) = 23/sin(B)

This gives

31.0189 = 23/sin(B)

Rewrite as:

sin(B) =23/31.0189

Evaluate

sin(B) =0.7415

Take arc sin of both sides

B = 47.9

Calculate angle C using:

C = 180 - 92.0 - 47.9

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C = 40.1

Hence, the solution to the triangle is A = 92.0, B = 47.9 and C = 40.1