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-Dominant- [34]
3 years ago
7

Can someone plzzz show me how to solve this?

Mathematics
1 answer:
Sliva [168]3 years ago
5 0

I wrote it down on paper, hope this is helpful.

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The height of a trapezoid is 8 in. And its area is 96 in2. One base of the trapezoid is 6 inches longer than the other base. Wha
Vsevolod [243]

Answer:

The lengths of the bases are 9 inches and 15 inches.

Step-by-step explanation:

The area of trapezoid is

=\frac12(\textrm{ sum of parallel sides})\times height

Given that the height of a trapezoid is 8 in. and its area is 96 in².

Assume the bases of the trapezoid be b₁ and b₂.

Since one base of the trapezoid 6 in. longer than the other.

Let, b₁=b₂+6

The area of the trapezoid is

=\frac 12 (b_1+b_2)\times8 in²

=\frac12 (b_2+6+b_2)\times 8 in²

=\frac12(2b_2+6)\times8 in²

According to the problem,

\frac12(2b_2+6)\times8 =96

\Rightarrow 2b_2+6=\frac{96\times 2}{8}                [ Multiplying \frac28 ]

\Rightarrow 2b_2+6=24

\Rightarrow 2b_2=24-6

\Rightarrow 2b_2=18

\Rightarrow b_2=\frac{18}{2}

\Rightarrow b_2=9

Then, b_1=b_2+6

              =9+6

             =15 in

The lengths of the bases are 9 inches and 15 inches.

5 0
4 years ago
The student council had a canned food drive. They collected a total of 63 cans on wednesday. This is 21% of the total. How many
Naddik [55]
They collected 300 cans in all. I did this by multipying 63 by 100 (6300) then divided it by 21. I hope this helps!
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3 years ago
Find the area of polygon
VashaNatasha [74]
Idk this one but you’ll find it eventually
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3 years ago
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What value, written as a decimal, should Lena use as the common ratio? Lena is asked to write an explicit formula for the graphe
DedPeter [7]

Answer:

a(n) = 1(2.5)^(n - 1)

Step-by-step explanation:

The geometric sequence is 1, 2.5, 6.25, 15.625, and so on; the first term is 1.  The common ratio is 2.5; each new term is 2.5 times the previous term.

The explicit formula desired is thus a(n) = 1(2.5)^(n - 1)

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4 years ago
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Percents as fractions 68%
svp [43]

your answer would be 17/25

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3 years ago
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