Step-by-step explanation:
A pentagonal prism is a prism having two pentagonal bases and five rectangular sides. It is a heptahedron.
The regular right pentagonal prism is uniform polyhedron . Its dual polyhedron is the pentagonal dipyramid.
The surface area and volume for the right regular pentagonal prism of unit edge length are
S = 5+1/2sqrt(5(5+2sqrt(5)))
(1)
V = 1/4sqrt(5(5+2sqrt(5))).
Answer:

Step-by-step explanation:
The pool are is divided into 4 separated shapes: 2 circular sections and 2 isosceles triangles. Basically, to calculate the whole area, we need to find the area of each section. Due to its symmetry, both triangles are equal, and both circular sections are also the same, so it would be enough to calculate 1 circular section and 1 triangle, then multiply it by 2.
<h3>Area of each triangle:</h3>
From the figure, we know that <em>b = 20ft </em>and <em>h = 25ft. </em>So, the area would be:

<h3>Area of each circular section:</h3>
From the figure, we know that
and the radius is
. So, the are would be calculated with this formula:

Replacing all values:

Remember that 
Therefore, 
Now, the total are of the figure is:

Therefore the area of the symmetrical pool is 
Expected value = -1(1/6) + 2(1/6) + 3(1/6) - 4(1/6) + 5(1/6) - 6(1/6) = -1/6 + 2/6 + 3/6 - 4/6 + 5/6 - 6/6 = -1/6 = -0.167
The right answer is Option A.
Step-by-step explanation:
Given,
Heart rate goal = I
Heart rate reserve = H
70% of H = 
Resting heart rate = R
According to given statement,
70% of heart rate reserved is added to resting heart rate to calculate heart rate goal, therefore,
I = R + 0.7H
I=R+0.7H represents the given situation.
The right answer is Option A.
Keywords: linear expression, addition
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Answer:
15+85+x =180
X=180-15-85
X=8O°
Step-by-step explanation: