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hram777 [196]
3 years ago
9

the basement has an area of 864 square feet. the width of the basement is two thirds its length. What is the length of the basem

ent?
Mathematics
2 answers:
Leno4ka [110]3 years ago
7 0
A = 864
w = 2/3l

A = lw

Plug in what we know:

864 = l(2/3l)

Multiply:

864 = 2/3l^2

Divide 2/3 to both sides or multiply by its reciprocal, 3/2:

864 * 3/2 = l^2

2592/2 = l^2

1296 = l^2

Find the square root of both sides:

l = 36

So the length of the basement is 36 feet.
dsp733 years ago
5 0
Area=Length*Width \\ A=LW \\ 864=( \frac{2}{3}L )L \\ 864= \frac{2}{3}L^{2} \\ 1296=L^{2} \\ L= \sqrt{1296} \\ \boxed{Length=36\ feet}
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Anna35 [415]

Answer:

Let 'a' be the first term, 'r' be the common ratio and 'n' be the number of terms

Series = 2+6+18.......= 2+2•3¹+ 2•3².......= 728

Now,

Sum =  \frac{a( {r}^{n} - 1) }{(r - 1)}   \\

So,

\frac{a( {r}^{n} - 1)}{(r - 1)}  = 728 \\  \frac{2( {3}^{n} - 1) }{(3 - 1)}  = 728 \\  \frac{2( {3}^{n} - 1) }{2}  = 728 \\  {3}^{n}  - 1 = 728 \\ {3}^{n}=728+1\\ {3}^{n}  = 729 \\  {3}^{n}  =  {3}^{6}  \\ \boxed{ n = 6}

Therefore, number of terms is 6

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2 years ago
A triangle has an area of 36 square units. Its height is 9 units.
Black_prince [1.1K]
Well area of a triangle is
\frac{1}{2} b \times h
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8 0
3 years ago
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Dennis_Churaev [7]

I think the Answer is 76 in^2

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8 0
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Step-by-step explanation:

Solution for 3x-7=18 equation:

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3 0
2 years ago
The number of students who picked each subject is shown.
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Answer: 90% of students did NOT choose history.

Step-by-step explanation:

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Hope This Helped, Have A Great Day!

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