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Debora [2.8K]
3 years ago
7

Find the lengths of the bases of the trapezoid with a height of 10 ft. One base is 4ft longer than the other bases. The area is

120 square feet. Check the measurement of the TWO bases.
24
20
14
28
10
18
Mathematics
1 answer:
liq [111]3 years ago
5 0

Answer:

  10 ft, 14 ft

Step-by-step explanation:

Let b represent the length of the shorter base. Then the longer one is b+4 and the area is ...

  A = (1/2)(b1 +b2)h

  120 = (1/2)(b +(b+4))(10) . . . . use given values

  12 = b+2 . . . . . . divide by 10, simplify

  10 = b

  14 = b+4

The measurements of the two bases are 10 ft and 14 ft.

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Find x so that (x,-14) is a solution to 2x+3y=12
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Answer:

27

Question:

Find x so that (x,-14) is a solution to 2x+3y=12 .

Step-by-step explanation:

So we are asked to replace y with -14 and solve for x in the equation:

2x+3y=12.

2x+3y=12 with y=-14:

2x+3(-14)=12

2x-42=12

Add 42 on both sides:

2x=54

Divide both sides by 2:

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So the x-coordinate that corresponding to y=-14 is 27.

Verify that:

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Replace x with 27 and y with -14:

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This interval implies that there is 90% probability that the true mean annual income of all company presidents is within this interval.

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