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prohojiy [21]
3 years ago
5

The Thompson family borrowed $120,000

Mathematics
1 answer:
kolezko [41]3 years ago
6 0

Answer:

27,600

Step-by-step explanation:

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How long is the base of a parallelogram if it has an area of 100 m2 and a height of 5 m?
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4 0
3 years ago
At a fish market, a pound of salmon costs $12 and a pound of shrimp costs $18. Mrs. Donnelly wants to buy 2 1/3 pounds of salmon
Semmy [17]

Answer:

Yes and she would have $2 left over because all the food costs $91.

Step-by-step explanation:

We should set up an equation so that everything makes sense. A calculator would be wise for this problem, but I am going to lay it out anyhow.

We should convert the mixed numbers to improper fractions to not be confused. 3 1/2 becomes 7/2 or 3.5 and 2 1/3 becomes 7/3.

From your wording, we can assume that the money Mrs. Donnelly has is either greater than or equal to $93.

Thus, we have 12*(7/3) + 18*(7/3) is equal to or greater than 93 (this is an inequality).

The math shows that the food costed 91 and so she only has $2 left.

7 0
3 years ago
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
2 years ago
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