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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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3 years ago
I NEED HELP ASAP write an equivalent unit rate to running 5/4 a mile in 9 minutes
svetlana [45]

Answer:

The unit rate is 0. 14 miles per minute.

Hence, option a is correct.

Step-by-step explanation:

Given

Running of 5/4 a mile in 9 minutes.

To determine

The unit rate = ?

Given that the running 5/4 a mile in 9 minutes.

i.e.

Miles covered in 9 minutes = 5/4 or 1.25 miles

Miles covered in 1 minute = 1.25/9

                                           = 0. 14 miles per minute

Therefore, we conclude that:

The unit rate is 0. 14 miles per minute.

Hence, option a is correct.

6 0
2 years ago
Veronica copies her uncle's address and phone number into her contact list. His area code is 775. His ZIP code is 89507. Which s
ExtremeBDS [4]

Answer:It is 100 times as great in the ZIP code than it is in the area code

Step-by-step explanation:

step 1

Veronica 's uncle ZiP CODE = 89507 = The value of 5 here, represents 5 Hundred-----500

Veronica 's uncle Area code= 775 = The value of 5 here  represents 5 units--5

it will take a 100 times the value of 5 in the area code to be same as the value of 5 in the ZIP code

Step 2:

Therefore, we can say that the value of 5 is 100 times as great as the ZIP code than it is in the area code.

3 0
3 years ago
While shopping for​ clothes, Daniel spent ​$42 less than 3 times what Curtis spent. Daniel spent ​$21. Write and solve an equati
ratelena [41]

Answer:

$21

Step-by-step explanation:

21+42=63

x=63:3

x=$21

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3 years ago
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Answer:

about 1 inch

Step-by-step explanation:

6 0
3 years ago
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