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2 years ago

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John's house is 10 miles from the grocery store. if a map uses a scale of 0.5 inches = 4 miles, how far apart, in inches, how fa

r apart, in inches, would his house and grocery store be on the map?

1 answer:

butalik [34]2 years ago

7 0

Answer:

1.25 inches

Step-by-step explanation:

2 miles would be 0.25 inches. 8 miles would be 1 inch. 8+2 is 10, 1 + 1.25 is 1.25.

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Joey and Nolan are each solving the equation 13x - 42 = 18 - 7x.

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Answer:

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13x-42=18-7x

First step

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2 years ago

Find the volume of the cone. Use 3.14 for π. Round to the nearest tenth.

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$Volume\,\,of\,\,cone=1527.1\,\,cm^3$

So, Option C is correct.

Step-by-step explanation:

We need to find Volume of cone.

We are given:

π = 3.14

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Diameter = 15 cm

The formula used to find Volume of cone is:

$Volume\,\,of\,\,cone=\frac{1}{3}\pi r^2h$

We are given diameter but we need radius in the formula

So, Radius = Diameter/2 = 15/2 = 7.5 cm

We need to find height of cone.

Using Pythagoras theorem:

$h^2=p^2+b^2\\ (27)^2=p^2+(7.5)^2\\729=p^2+56.25\\p^2=729-56.25\\p^2=672.75\\Taking\,\,square\,\,root:\\p=25.93$

So, Height of cone = p= 25.93

So, r= 7.5 and h= 25.93 and π = 3.14

Putting values in the formula:

$Volume\,\,of\,\,cone=\frac{1}{3}3.14*(7.5)^2*25.93$

$Volume\,\,of\,\,cone=1526.62$

Rounding off to the nearest tenth:

$Volume\,\,of\,\,cone=1527.1\,\,cm^3$

So, Option C is correct.

Keywords: Volume of cone.

Learn more about Volume of cone at:

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