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xz_007 [3.2K]
3 years ago
15

Given isosceles trapezoid TRHY, in units what is the length of b2 if the height is 13 units, b1 is 21 units, and the area is 215

units squared?
Mathematics
1 answer:
GenaCL600 [577]3 years ago
4 0

We are given a trapezoid TRHY.

Height of the trapezoid = 13 units.

b1 = 21 units and

Area = 215 units squares.

We need to find the length of b2.

We know formula for area of a trapezoid.

A= \frac{1}{2} (b1+b2)\times h

Plugging values in formula.

215 = \frac{1}{2}(21+b2)× 13.

215 = 6.5(21+b2)

Dividing both sides by 6.5, we get

\frac{215}{6.5}=\frac{6.5(21+b2)}{6.5}

33.08 = 21+b2.

Subtracting 21 from both sides, we get

33.08-21 = 21-21+b2

b2 = 12.08.

<h3>Therefore,  length of b2 is 12.08 units.</h3>
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3 years ago
A company mixes two kinds of cleansers to get a blend they sell for 59 cents a liter. One of the cleansers costs 50 cents per li
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Answer:

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Step-by-step explanation:

We can solve this by using <em>simultaneous equations</em>:

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Let a be cleanser at 50 cents and let b be the cleanser at 80 cents.

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As a note, I formed equation 1 because I know for a fact the cost per liter of a and b. I also know it is sold at 0.59 cents per liter. We are selling 2000 liters in this instance, therefore 0.59(2000) = 1180, which in this case is the selling price.

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