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WITCHER [35]
4 years ago
6

Pythagorean Theorem

Mathematics
2 answers:
Andrews [41]4 years ago
4 0
Using the Pythagorean Theorem, a²+b² = c², if we plug these values in the left and right sides should be equal. 15² is 225, √207² is 207, and (12√3)² is 432. Adding 225 and 207, we get 432; both sides are equal, so this is a right triangle.
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Hope this helps!
Sindrei [870]4 years ago
3 0
Pythagorean Theorem: a^2+b^2=c^2

Plug in values.

15^2+sqrt(207)^2=(12sqrt(3))^2
225+207=432
432=432

Yes, this is a right triangle.
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Identify the volume of the composite figure, rounded to the nearest tenth. PLEASE HELP!!!
Anni [7]

Answer:

The volume of the composite figure is:

  • <u>312 ft^3</u>

Step-by-step explanation:

To identify the volume of the composite figure, you can divide it in the known figures there, in this case, you can divide the figure in a cube and a pyramid with a square base. Now, we find the volume of each figure and finally add the two volumes.

<em>VOLUME OF THE CUBE. </em>

Finding the volume of a cube is actually simple, you only must follow the next formula:

  • Volume of a cube = base * height * width

So:

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  • <u>Volume of a cube = 216 ft^3 </u>

<em>VOLUME OF THE PYRAMID. </em>

The volume of a pyramid with a square base is:

  • Volume of a pyramid = 1/3 B * h

Where:

<em>B = area of the base. </em>

<em>h = height. </em>

How you can remember, the area of a square is base * height, so B = 6 ft * 6 ft = 36 ft^2, now we can replace in the formula:

  • Volume of a pyramid = 1/3 36 ft^2 * 8 ft
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Finally, we add the volumes found:

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5 0
3 years ago
A savings account compounds interest, at a rate of 25%, once a year. Eve puts $500 in the account as the principal. How can Eve
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Year 2: 500*[ 1 + 0.25] * [1 + 0.25] = 500 [1 + 0.25]^2

Year x: 500 [1 + 0.25]^x

Option d: A(x) = 500[1 + .25]^x, where .25 is the interest rate
5 0
3 years ago
Question 6: Simplify the expression 48-5+7X3<br>О А 16<br>O B 64<br>O C 150<br>O D 22​
Verdich [7]
Answer: B. 150
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43+7=50
50•3=150
7 0
4 years ago
Read 2 more answers
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