The Volume of this prism is 148.35 cu.units, Option D is the right answer.
<h3>What is Volume ?</h3>
The space occupied by a three dimensional object is called Volume.
Area of the base of the prism is the area of the pentagon
Area of the pentagon is given by
The area is given as 43.06 sq. units
On solving the side of pentagon is 5 units
The volume of the pentagonal prism is given by
V = (5/2)abh
where a is the length of apothem , b is the base length and h is the height
V = (5/2) * 3.44 * 5* 3.45
V = 148.35 cu.units
Therefore the Volume of this prism is 148.35 cu.units , Option D is the right answer.
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A
Standard is number with X + or - number with y = #
Y+4= 2x-10
Take 4 to the right change sign
Y= 2X-10-4
Y= 2X-14
Take 2x to the left side change sign
-2X+Y=-14
Answer:
Conservation of Energy
Step-by-step explanation:
This is because of friction which changes kinetic energy into heat. ... When a skater is at the top of the ramp he has the highest amount of potential energy. Kinetic energy is the energy of motion. The faster the skater moves the more kinetic energy he has.
The solution for x is equal to x = (4 · y) / (r + 6).
<h3>How to find an explicit solution of an algebraic equation</h3>
In this problem we have an equation formed by three variables (r, x, y) and a constant and we are asked to clear x as a function of r and y. Now we present the entire procedure:
(r · x + 6 · x) / y = 4 Given
(r · x + 6 · x) = 4 · y Defintion of division / Associative property / Compatibility with multiplication / Existence of multiplicative inverse / Modulative property
x · (r + 6) = 4 · y Distributive property
x = (4 · y) / (r + 6) Compatibility with multiplication / Associative property / Existence of multiplicative inverse / Modulative property / Definition of division / Result
The solution for x is equal to x = (4 · y) / (r + 6).
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Answer:
Mean = (19 + 20 + 21 + 22 + 23)/5 = 105/5 = 21
x x - mean (x - mean)^2
19 -2 4
20 -1 1
21 0 0
22 1 1
23 2 4
Sum = 10
Step-by-step explanation:
