Answer: The height of the cylinder is 24 units.
Step-by-step-explanation: The volume of a cylinder is calculated as
Volume = Pi x r^2 x h
Where r is the radius, and h is the height. The radius shall be derived as half of the diameter, that is, half of 14 units which equals 7 units. The volume has been given as 1176 Pi cubic units. We can now substitute for the values given as follows;
1176 Pi = Pi x 7^2 x h
1176 Pi = Pi x 49 x h
By cross multiplication we now have
(1176 Pi)/49 Pi = h
1176/49 = h
24 = h
Therefore the height of the cylinder is 24 units.
The area of a rectangle is it's length times it's height. We are given polynomials for these values, so we can multiply them using the FOIL method to find the area.
FOIL stands for Firsts, Outers, Inners, Lasts. This means we multiply the first term of each polynomial together, the outer terms together, the inner terms together, and the last terms together.
(2x+5)(x-2)
The first terms are 2x and x, the outer terms are 2x and -2, the inner terms are 5 and x, and the last terms are 5 and -2:
2x^2 - 4x +5x - 10
Combine like terms:
2x^2 + x - 10
The third option is the correct answer.
"Reflexive Property" is the property shown as a = a
Hope this helps!
Answer:
x= 425
Step-by-step explanation: