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melomori [17]
3 years ago
7

The height of a trapezoid is 6 in. And its area is 48 in2. One base of the trapezoid is 6 inches longer than the other base. Wha

t are the lengths of the bases? Complete the explanation of how you found your answer.
Mathematics
1 answer:
omeli [17]3 years ago
4 0

Answer:

  • 5 in
  • 11 in

Step-by-step explanation:

Let x represent the length of the shorter base in inches. Then the longer base has length x+6. The area of the trapezoid is given by the formula ...

  A = (1/2)(b1 +b2)h

Filling in the values we know, we have ...

  48 = (1/2)(x +(x+6))(6)

  16 = 2x +6 . . . . . divide by 3

  10 = 2x . . . . . . . . subtract 6

  5 = x . . . . . . . . . . divide by 2

  (x+6) = 11 . . . . . . find the longer base

The lengths of the bases are 5 inches and 11 inches. We found them by solving an equation relating area to base length.

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What is 18.5% of 500?
denis-greek [22]

Answer:

92.5

Step-by-step explanation:

18.5% = 0.185

0.185 x 500 = 92.5

Hope that helps!

4 0
3 years ago
An item on sale cost 35% of the original price of The original price.the original price was $17
VMariaS [17]

First multiply 17 by the percentage:

17 x .35= 5.95

Then subtract that answer from 17:

17 - 5.95= 11.05

35% of 17 is 11.05


5 0
2 years ago
Working together, Shawn and Hector can install a tile floor in 6 hours. It would take Shawn 9 hours to do the job alone.
Yanka [14]
Hector could do it in 3 hours.
Your question doesn’t really make sense though.
3 0
3 years ago
Read 2 more answers
A roll of ribbon was 12 meters long. Diego cut 9 pieces of ribbon that were 0.4 meters each to tie some presents. He then used t
dexar [7]

Answer: 8.4; 14.

Step-by-step explanation:

To find how much ribbon we used to tie presents, we need to multiply 9 and 0.4.

9 x 0.4 = 3.6.

Diego used 3.6 meters of yard to tie some presents. We can subtract that from 12 to find how much ribbon we have left.

12 - 3.6 = 8.4.

We have 8.4 meters of ribbon to make wreaths.

Now we have to find how many wreaths we can make wiht 8.4 meters of ribbon. We know that each wreath needs 0.6, so we should divide 8.4 by 0.6 to find how many wreaths we can make.

8.4 ÷ 0.6 = 14.

Therefore, we can make 14 wreaths with the 8.4 meters of leftover ribbon.

(Part A's answer is 8.4, and Part B's answer is 14)

4 0
2 years ago
Read 2 more answers
A triangle has a perimeter of 102 yards. The first side is twice the length of the second side. The third side is 6 yards longer
lana66690 [7]

Answer:

48,24,30

Step-by-step explanation:

Let, the length of second side be x

A/c to question,

first side (a) = 2x

second side (b) = x

third side (c) = x + 6

Perimeter of ∆ (p) = 102

And,

Perimeter of ∆ = a + b + c

102 = 2x + x + x + 6

102 - 6 = 4x

96 = 4x

x = 96/4

x = 24

Now,

first side = 2*24 = 48

second side = 24

third side = 24 + 6 = 30

4 0
3 years ago
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