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3 years ago

Write a compound inequality that the graph could represent. Picture below

Mathematics

2 answers:

lora16 [44]3 years ago

7 0

-1 > x < 3. The first sign ( > ) is meant to have a line underneath it.

Nataly_w [17]3 years ago

4 0

X≥-1, x<3, or -1≤x<3
these are the possible compound inequalities, hope it helps!

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The government plans to build 75,000 new homes. 1/5 of the new homes will be built in a city near you. How many is that?

laiz [17]

The answer is 15,000 because 75000/5 = 15000.

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3 years ago

will give brainliest Each exterior angle of a certain regular polygon is 20°, so each interior angle of that polygon must be ___

barxatty [35]

Answer:

i think it would be 10 degrees

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3 years ago

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A 14 inch pizza (diameter is 14) was cut in to 8 pieces. What is the angle measure of each slice? *

Luda [366]

Answer:

The angle for each slice is 45 degrees.

Step-by-step explanation:

In order to calculate the angle of each slice, we first need to calculate the total area of the pizza, because we will use that to find the area of each slice and as a result it's angle. To calculate the area of the pizza we must use:

pizza area = pi*r²

r = d / 2 = 14 /2 = 7 inches

pizza area = pi*(7)² = 153.86 square inches

Since the pizza was divided in 8 pieces, the area of each piece is given by the area of the pizza divided by the number of slices. We have:

slice area = pizza area / 8 = 153.86 / 8 =19.2325 square inches

Each slice is a circle sector, therefore it's area is given by:

slice area = (angle*pi*r²)/360

Therefore we can solve for angle:

19.2325 = (angle*pi*7²)/360

angle*pi*49 = 6923.7

angle = 6923.7 / pi*49 = 45 degrees

The angle for each slice is 45 degrees.

4 0

3 years ago

Anna buys a sweater for $25.60, and it is on sale for 35% off. What is the amount of the discount?

inysia [295]

To find the answer of this question, you have to multiply 25.60*0.35, since 35% equals 0.35 and the original price of the sweater was 25.60. After you do this, you should get $8.96 as the amount of the discount.

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3 years ago

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Find the length of side AB in the right triangle shown.

Bogdan [553]

Side AB is 72 cm long.

Explanation:

To find the length of side AB you have to use this formula:

${a}^{2} + {b}^{2} = {c}^{2}$

*Remember there are two legs (a and b) and a hypotenuse (c) on a triangle. The longest side will be the hypotenuse and the other two will be the legs. For this triangle the hypotenuse is side BC while the legs are sides CA and side AB.

Plug in the numbers into the equation.

${65}^{2} + {b}^{2} = {97}^{2}$
For this triangle, you were given the hypotenuse (c) and one leg (a). To find the last length solve the equation and balance it so only b is left, like this:

$4225 + {b}^{2} = 9409$

$9409 - 4225 = 5184$

Soo...

${b}^{2} = 5184$

Then to get the side length, square root 5184.

$\sqrt{5184} = 72$

So the length of the last side is 72 cm.

5 0

3 years ago