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shusha [124]
3 years ago
11

A cable 20 feet long connects the top of a flagpole to a point on the ground that is 16 feet from the base of the pole. How tall

is the flagpole?(A) 8 ft.(B) 10 ft.(C) 16 ft. (D) 26 ft.

Mathematics
1 answer:
dusya [7]3 years ago
3 0
<h2>Answer:</h2>

The height of the flagpole is: 12 ft.

<h2>Step-by-step explanation:</h2>

Let the height of the flagpole be: x ft.

Now, we can model this problem with the help of a right angled triangle such that the hypotenuse of the triangle is: 20 feet

and one of the leg of the right triangle is: 16 feet

Now, in order to find the other leg i.e. x we need to use the Pythagorean Theorem.

i.e.

20^2=x^2+16^2\\\\i.e.\\\\400=x^2+256\\\\x^2=400-256\\\\x^2=144\\\\x=\pm 12

But the height can't be negative.

Hence, we get:

x=12

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Luke bought 256256256 ounces of strawberries. He divided them evenly between 888 different pies. How many pounds of strawberries
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Answer:

2 pounds.

Step-by-step explanation:

We have been given that Luke bought 256 ounces of strawberries. He divided them evenly between 8 different pies. We are asked to find the pounds of strawberries that Luke put on each pie.

First of all, we will convert 256 ounces into pounds.

We know that 1 pound equals 16 ounces. To convert 256 ounces into pounds, we need to divide 256 by 16.

\text{256 ounces}=\frac{256}{16}\text{ pounds}=16\text{ pounds}

Now we will divide 16 pounds by 8 to find number of strawberries put on each pie.

\text{Pounds of strawberries on each pie}=\frac{16}{8}

\text{Pounds of strawberries on each pie}=2

Therefore, Luke put 2 pounds strawberries on each pie.

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Step-by-step explanation:

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Answer:

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  4. see attached

Step-by-step explanation:

1. The seven different sectors have seven different colors. No parts have the same color.

2. The attached table lists the sectors in decreasing order of size. The largest three are yellow, blue, red.

3. Percentages can be written a number of ways. They can be written as decimal numbers, or as fractions. In a pie chart, the sectors can also be given an angle measure.

4. Fraction equivalents of the percentages are shown in the attached.

5. Reduce fraction equivalents of the percentages are shown in the attached.

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