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3 years ago

If a town has a density of 8 houses per block and there are 65 blocks in the town, how many houses are in the town?

Mathematics

1 answer:

andriy [413]3 years ago

6 0

Answer:

520 houses

Step-by-step explanation:

Here, we are interested in calculating the number of houses in the town.

We are told that the density is 8 houses per block and there are 65 blocks

The number of houses in the town = density * number of blocks = 65 * 8 = 520 houses

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3 years ago

Whitney kicks a football off the ground. The height, h , in feet, of the football above the ground after t seconds is given by h

malfutka [58]

Answer:

after 4seconds

Step-by-step explanation:

Given the height, h , in feet, of the football above the ground after t seconds expressed by h ( t ) = − 8 t^2 + 32 t, the height of the ball on the ground is 0feet.

Substitute h(t) = 0 into the expression and calculate t;

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0 = − 8 t^2 + 32 t

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3 years ago

Find the missing side lengths leave your answer as a racials simplest form

Aleksandr-060686 [28]

Answer:

m= $7\sqrt3$

n=7

Step-by-step explanation:

Hi there!

We are given a right triangle (notice the 90°) angle, the measure of one of the acute angles as 60°, and the measure of the hypotenuse (the side OPPOSITE from the 90 degree angle) as 14

We need to find the lengths of m and n

Firstly, let's find the measure of the other acute angle

The acute angles in a right triangle are complementary, meaning they add up to 90 degrees

Let's make the measure of the unknown acute angle x

So x+60°=90°

Subtract 60 from both sides

x=30°

So the measure of the other acute angle is 30 degrees

This makes the right triangle a special kind of right triangle, a 30°-60°-90° triangle

In a 30°-60°-90° triangle, if the length of the hypotenuse is a, then the length of the leg (the side that makes up the right angle) opposite from the 30 degree angle is $\frac{a}{2}$ , and the leg opposite from the 60 degree angle is $\frac{a\sqrt3}{2}$

In this case, a=14, n= $\frac{a}{2}$ , and m= $\frac{a\sqrt3}{2}$

Now substitute the value of a into the formulas to find n and m to find the lengths of those sides

So that means that n= $\frac{14}{2}$ , which is equal to 7

And m= $\frac{14\sqrt3}{2}$ , which simplified, is equal to $7\sqrt3$

Hope this helps!

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3 years ago