As suggested, we have to use the law of sines: it states that the ratio between a side and the sine of the opposite angle is constant in every triangle.
We know that one side length is 11, and the opposite angle is 27°
Another side length is 15, and the opposite angle is x.
So, the law of sines states that
Solving for we have
Which implies
Put this into a calculator to get
Answer:
x ≈ 28.2
Step-by-step explanation:
Using the sine rule then
= ( cross- multiply )
11sinx = 15sin27° ( divide both sides by 11 )
sin x = ≈ 0.61907..
x = (0.61907 ) ≈ 28.2
The expression that represents the number of dollars Kim have after buying the cleats is
C - 53.62.
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Total amount = C
Cost of cleats = $53.62
The amount remaining.
= C - 53.62
Thus,
The expression is C - 53.62.
Learn more about expressions here:
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