Answer:
39.275
Step-by-step explanation:
the diameter of the semicircle is 10
A semicircle is half a circle, and a quarter circle is 1/4 of a circle.
Perimeter of a semicircle is ¶d/2
= 3.142 x 10/2 = 3.142 x 5 = 15.71
For 2 semicircles that will be 15.71 x 2 = 31.42
For the quarter circle, perimeter is ¶d/4 = 3.142 x 10/4 = 3.142 x 2.5 = 7.855
Total perimeter = 31.42 + 7.855 = 39.275
Answer:
<em>Answer: A. 0.2</em>
Step-by-step explanation:
<u>Probability</u>
The circle graph shows the distribution of the makeup of the Riverside Municipal Choir.
The total number of choir sections is: 8+10+10+12=40
To calculate the probability of a member chosen at random comes from the alto section, we use the formula:

Calculating:
P = 0.2
Answer: A. 0.2
<em>ANSWER :</em>
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<em>I THINK ITS B </em>
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EXPLANATION :
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First do inside the parenthesis first.
When dividing two exponents subtract them.
15-5 = 10
So w^15 / w^5 becomes w^10
Now you have (w^10)^4
Now multiply the exponents:
10 x 4 = 40
Final answer is w^40
<u>Given</u>:
The sides of the base of the triangle are 8, 15 and 17.
The height of the prism is 15 units.
We need to determine the volume of the right triangular prism.
<u>Area of the base of the triangle:</u>
The area of the base of the triangle can be determined using the Heron's formula.

Substituting a = 8, b = 15 and c = 17. Thus, we have;


Using Heron's formula, we have;





Thus, the area of the base of the right triangular prism is 36 square units.
<u>Volume of the right triangular prism:</u>
The volume of the right triangular prism can be determined using the formula,

where
is the area of the base of the prism and h is the height of the prism.
Substituting the values, we have;


Thus, the volume of the right triangular prism is 450 cubic units.