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asambeis [7]
3 years ago
13

Find the approximate side length of a square game board with an area of 105in2.

Mathematics
1 answer:
alukav5142 [94]3 years ago
8 0

Answer:

Approximately 10.2 inches

Step-by-step explanation:

The area of a square is given by the formula:

A=s^2

Where A is the area and s is the side length.

Since we already know that the area A is 105, substitute:

105=s^2

Now, take the square root of both sides:

s=\sqrt{105}

Use a calculator:

s\approx10.2470

So, the side length is approximately 10.2 inches.

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negitive (-) and then rise (1 up) over run (two over)

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Is Ronald correct because 80,000,000 + 6,200 = 142,000,000,000. yes or no
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The ratio of the number of dogs to the number of cats is 4:5. There are 270 animals on the rescue farm. for each of the followin
romanna [79]

Answer:

see the procedure

Step-by-step explanation:

Let

x ----> the number of dogs

y ---> the number of cats

we know that

The ratio of the number of dogs to the number of cats is 4:5

so

\frac{x}{y}=\frac{4}{5}

x=\frac{4}{5}y ----> equation A

That means ---> The number of dogs is 4/5 the number of cats

There are 270 animals on the rescue farm

so

x+y=270 ----> equation B

Substitute equation A in equation B

\frac{4}{5}y+y=270

solve for y

\frac{9}{5}y=270

y=270(5)/9\\y=150\ cats

Find the value of x

x=\frac{4}{5}(150)=120\ dogs

<u><em>Verify each statement</em></u>

a) The number of dogs is 4/5 the number of cats

The statement is true (see the explanation)

b) 4/5 of the pets at the farm are dogs

The statement is false

Because

(4/5)(270)=216 dogs

The number of dogs is 120 not 216 (see the explanation)

c)  There are exactly 30 more cats than dogs

The statement is true

Because, there are 150 cats and 120 dogs (see the explanation)

d) There are exactly 30 dogs at the farm

The statement is false

Because, there are 120 dogs in the farm (see the explanation)

e) 5/9 of the pets at the farm are cats

The statement is true

Because

(5/9)270=150 cats

The number of cats is 150 (see the explanation)

7 0
3 years ago
Lucy used 3 gal of paint to cover 900 ft. She needs to cover a total of 1,100 ft?.
insens350 [35]

Step-by-step explanation:

3 gal = 900 ft

... gal = 1100 ft

So, each gal is used for cover 300 ft,

Then,

\sf \frac{1100}{900}  \times 3 =  \frac{11}{3}  =  \boxed{ \bold{ \red{3 \frac{2}{3}  \: gal}}}

We need <u>3 2/3 gal</u> to cover 1100 ft.

Hope it helps!

7 0
2 years ago
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the
bonufazy [111]

Answer:

7.89 seconds

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