What is the volume of the prism
2 answers:
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Answer:
401
Step-by-step explanation:
1. Approach
To solve this problem, one first has to think about the given figure in a certain way. In the figure, one can see that it is a circle attached on either side of a rectangle. To find the perimeter of the figure, one has to find the circumference of the circle and then add two sides of the rectangle to the answer
2. Circumference of the circle
The formula to find the circumference of a circle is;
(pi) or
(pi)
~ diameter times the value (pi)
Normally to find the circumference of a semicircle, one would have to divide this formula by 2, but since in this case, one has to add two congruent semicircles, so therefore, the effect of dividing the equation by two, only to multiply by two again cancels, and hence, there is no need to divide by 2.
Substitute in the values;
(78)(pi)
~ 245
3. Find the perimeter of the entire object
Now, one has to add the two additional sides of the figure, to the circumferences of the semicircles to get the final answer;
78 + 78 + 245
= 401
Answer:
(a) Equations for both
--- lifeguard
--- camp counselor
(b) Total pay for 5 days
Lifeguard pays $800
Camp counselor pays $375
(c) Which pays more
Lifeguard job pays more
Step-by-step explanation:
Let
Given
Lifeguard job
Camp counselor job
Solving (a): The equation for both
The total pay for each job is calculated as:
Total Pay = Signing Bonus + Rate * Hours
So, we have:
Lifeguard
Camp counselor
Solving (b): Total pay for 5 days
First, we calculate the total hours worked in 5 days
So, the pay for each is:
--- Lifeguard
--- camp counselor
Solving (c): Which job pays more
By comparing the solution in (b)
<em>Hence, lifeguard job pays more</em>