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natita [175]
3 years ago
10

A trapezoid has a height of 6 inches, an area of 120 square inches, and one base measuring 13 inches. Find the length of the oth

er base. ​
Mathematics
1 answer:
kirill [66]3 years ago
6 0

Answer:

27

Step-by-step explanation:

Givens

b1 = 13

b2 = ?

h = 6

Area = 120

Formula

Area = (b1 + b2) * h/2         Multiply by 2

2Area = (b1 + b2)*h           Divide by h

2Area/h = b1 + b2              Subtract b1 from both sides

2Area/h - b1 = b2

Solution

2*120 / 6 - 13 = b2

40 - 13 = b2

b2 = 27

It is always handy to solve an equation in the form that finds the unknown on one side. It makes the solution much easier.

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An OSU senior is studying for exams in psychology and economics. The student has time to read 50 pages of psychology and 10 page
cestrela7 [59]

Answer:

3 Pages

Step-by-step explanation:

  • Let the pages of economics read = e
  • Let the pages of psychology read = p
  • Let the total time taken on each instance=t

In the first instance, the student has time to read 50 pages of psychology and 10 pages of economics.

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The student could read 30 pages of psychology and 70 pages of economics.

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Since the two situations take the same amount of time, we have:

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