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Tom [10]
2 years ago
15

The area of a circle is 100 square miles. What is the diameter?

Mathematics
1 answer:
adell [148]2 years ago
5 0

Answer:

The diameter of a circle with an area of 100 square miles is 20/√π miles.

Step-by-step explanation:

Area =100 = πr^2.

diameter = d = 2r.

100 = πr^2.

100/π = r^2.

√(100/π) = r.

10/√π = r.

d = 2r.

d = 2 * 10/√π.

d = 20/√π

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What is the volume of a rectangular prism with the dimensions: base 3 1 2 cm, height 1 1 2 cm, and length 5 1 2 cm?
jenyasd209 [6]

Answer:

The volume of a rectangular prism is 28\frac{7}{8}\ cm^{3}

Step-by-step explanation:

we know that

The volume of the rectangular prism is equal to

V=BHL

Convert the given dimensions to an improper fractions

B=3\frac{1}{2}\ cm=\frac{3*2+1}{2}=\frac{7}{2}\ cm

H=1\frac{1}{2}\ cm=\frac{1*2+1}{2}=\frac{3}{2}\ cm

L=5\frac{1}{2}\ cm=\frac{5*2+1}{2}=\frac{11}{2}\ cm

substitute in the formula

V=(\frac{7}{2})(\frac{3}{2})(\frac{11}{2})=\frac{231}{8}\ cm^{3}

Convert to mixed number

\frac{231}{8}=\frac{224}{8}+\frac{7}{8}=28\frac{7}{8}\ cm^{3}

7 0
3 years ago
A trader buys pens at $44 a dozen and sells them at $20 each. Find his profit if he sells 60 pens.
Stels [109]
60 pens/ A dozen pens= 5 packs of a dozen pens
$44*5= $220 total spent
$20*60=$1200 total money a trader gets
$1200-$220=$980 in profits.

Hope I didn't mess up for your sake.
4 0
3 years ago
Graph the equations to solve the system y=-3x-6. Y=-3x-7
Llana [10]

Answer:

Step-by-step explanation:

D. No solution


This is simply because -3x-6 cannot equal -3x-7 because -6 and -7 are different numbers therefore x is a false statement.

3 0
2 years ago
Read 2 more answers
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topjm [15]

Answer:

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Step-by-step explanation:

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7 0
2 years ago
CAN SOMEONE HELP ME WITH THIS!!
DIA [1.3K]

Answer:

Number of dogs = 6

Number of burgers = 11

Step-by-step explanation:

Number of dogs = x

Number of burgers = 2x - 1

Cost of a dog = $ 1.50

Cost of 'x' dogs = 1.5x

Cost of a burger = $ 2

Cost of (2x - 1) burger = (2x -1) * 2 = 2x *2 - 1*2

                                    = 4x - 2

Total amount collected  = $ 31

1.5x + 4x - 2 = 31 {add 2 to both sides}

        1.5x + 4x = 31 + 2

      1.5x+ 4x  = 33

               5.5x = 33

                    x = 33/5.5

                   x = 6

Number of dogs  = 6

Number of burgers = 2*6 - 1 = 12 - 1 = 11

4 0
3 years ago
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