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steposvetlana [31]
2 years ago
15

An office supply store sells pencils individually or by the case. Pencils purchased individually cost $0.97 each. One case of fo

rty pencils costs $37.20.
If purchased in a case, the average cost per pencil is
Mathematics
1 answer:
AnnyKZ [126]2 years ago
3 0

Answer:

$00.90

Step-by-step explanation:

If you dive the total cost of the case, $37.20, by the total number of pencils, 40, that's the answer you get.

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By using trigonometric relations, we will find that:

sin(θ) = (√33)/7 = √(33/49)

<h3>How to find the value of the sine?</h3>

Remember that for a right triangle, we have the relations:

cos(a) = (adjacent cathetus)/(hypotenuse)

sin(a) = (opposite cathetus)/(hypotenuse).

Here we know that:

cos(θ) = 4/7

Then we can say that we have a triangle with an adjacent cathetus of 4 units and a hypotenuse of 7 units. Now we need to find the other cathetus.

opposite cathetus = √(7^2 - 4^2) = √33

Then we can write:

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Step-by-step explanation:

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