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Black_prince [1.1K]
3 years ago
12

Two flag poles in front of the Court House are 12 ft tall. The distance from the top of one pole to the base of the other as sho

wn in the diagram is 20 ft. What is the distance between the two flag poles?
Mathematics
1 answer:
allsm [11]3 years ago
5 0
To calculate this you can use the Pythagorean Theorem, so if one pole is the height, the distance from top of one to bottom of other is hypotenuse, you can solve for the base by taking the square root of (20^2 - 12^2) or 16 which is the answer.
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Which expression uses the associative property to make it easier to evalute?
mixas84 [53]

Answer:

The correct option is (c).

Step-by-step explanation:

The given expression is :

14(\dfrac{3}{2}\times \dfrac{1}{4})

We need to use the associative property to make it easier.

The associative property for multiplication is as follows :

A\times (B\times C)=(A\times B)\times C

We have,

A=14, B=\dfrac{3}{2}\ and\ C=\dfrac{1}{4}

14(\dfrac{3}{2}\times \dfrac{1}{4})=(14\times \dfrac{3}{2})\times \dfrac{1}{4}

Hence, the correct option is (c).

6 0
3 years ago
Helpppppp plsssssssss
bekas [8.4K]

Answer:

C

Step-by-step explanation:

The right triangle on the right side of the figure has a height of 6 (two same sides lengths) and a base of 3.

x is the hypotenuse (side opposite of 90 degree angle).

We can use the pythagorean theorem to find x. The pythagorean theorem tells us to square each leg (height and base) of the triangle and add it. It should be equal to the hypotenuse square.

For this triangle it means, we square 6 and 3 and add it. It should be equal to x squared. Then we can solve. Shown below:

6^2 + 3^2 = x^2\\36 + 9 = x^2\\45 = x^2\\x=\sqrt{45}

<em>Now we can use property of radical  \sqrt{x}\sqrt{y}  =\sqrt{x*y}  to simplify:</em>

x=\sqrt{45} \\x=\sqrt{5*9} \\x=\sqrt{5} \sqrt{9} \\x=3\sqrt{5}

Correct answer is C

6 0
3 years ago
Read 2 more answers
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3 years ago
Evaluate log12y2, given log12y = 16.
serg [7]

Answer:

Its a i just took the test

Step-by-step explanation:

7 0
3 years ago
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5x+3x=8 Solution to the question and answer
Sliva [168]
Hi,

Solving:

5x + 3x = 8 \\ (5 + 3)x = 8 \\ 8x = 8 \: \: \: \: \: | \div 8 \\ x = 1

Answer: 1

Hope this helps.
If you have any questions about the answer comment below and I'll reply.
r3t40
6 0
3 years ago
Read 2 more answers
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