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tresset_1 [31]
3 years ago
14

Each year lizzies school purchases student agenda books, which are sold in the school store. This year, the school purchased 350

books costing 1,137.50. If the school would like to make a profit of 1,500 to help pay for field trips and school activities, what is the least they can charge for a book? explain how you got your answer.
Mathematics
1 answer:
Mamont248 [21]3 years ago
4 0

Answer:

10

Step-by-step explanation:

10-0=10

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120/2=60

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Please help!
UkoKoshka [18]

The values of x in the triangles and the angles in the rhombus are illustrations of tangent ratios

  • The values of x in the triangles are 21.4 units, 58 degrees and 66 degrees
  • The angles in the rhombus are 44 and 46 degrees, respectively

<h3>How to determine the values of x?</h3>

<u>Triangle 1</u>

The value of x is calculated using the following tangent ratio

tan(25) = 10/x

Make x the subject

x = 10/tan(25)

Evaluate

x = 21.4

<u>Triangle 2</u>

The value of x is calculated using the following tangent ratio

tan(x) = 8/5

Evaluate the quotient

tan(x) = 1.6

Take the arc tan of both sides

x = arctan(1.6)

Evaluate

x = 58

<u>Triangle 3</u>

The value of x is calculated using the following tangent ratio

tan(x) = 0.34/0.15

Evaluate the quotient

tan(x) = 2.27

Take the arc tan of both sides

x = arctan(2.27)

Evaluate

x = 66

<h3>How to calculate the angles of the rhombus?</h3>

The lengths of the diagonals are:

L1 = 2 in

L2 = 5 in

Represent the angles with x and y.

The measures of the angles are calculated using the following tangent ratios

tan(0.5x) = 2/5 and y = 90 - x

Evaluate the quotient

tan(0.5x) = 0.4

Take the arc tan of both sides

0.5x = arctan(0.4)

Evaluate

0.5x = 22

Divide by 0.5

x = 44

Recall that:

y = 90 - x

This gives

y = 90 - 44

Evaluate

y = 46

Hence, the angles in the rhombus are 44 and 46 degrees, respectively

Read more about tangent ratio at:

brainly.com/question/13347349

5 0
3 years ago
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