Answer:
A. 2(Pi)rh+2(Pi)r^2
Step-by-step explanation:
The surface area of a cylinder is the sum of the lateral area and the area of the two circular ends.
The lateral area is the product of the circumference of the cylinder and its height:
lateral area = 2πrh
The area of the two ends is twice the area of each of those circles, so is ...
total end area = 2(πr²)
Then the total surface area of a cylinder is ...
SA = 2πrh +2πr²
This is the concept of algebra, to solve the expression we proceed as follows;
cos 2x-cosx=0
cos 2x=cosx
but:
cos 2x+1=2(cos^2x)
thereore;
from:
cos 2x=cos x
adding 1 on both sides we get:
cos 2x+1=cos x+1
2(cos^2x)=cosx+1
suppose;
cos x=a
thus;
2a^2=a+1
a^2-1/2a-1/2=0
solving the above quadratic we get:
a=-0.5 and a=1
when a=-0.5
cosx=-0.5
x=120=2/3π
when x=1
cos x=1
x=0
the answer is:
x=0 or x=2/3π
Answer: 80th percentile
Step-by-step explanation:
There were 19 competitors below him and 5 competitors above him.
Total number of competitors is:
= 19 + 5 + Shawnte
= 25 competitors
Out of these 25 competitors, Shawnte took the 20th position.
Percentile is:
= 20/25 * 100
= 80th percentile
OK, the square root of 250 is 15.811 . . .
but since this can't be expressed as a decimal for your purposes, let's try factoring. Since 250 ends in a zero, only numbers 5 or 0 or those ending in 5 or 0 could be factors.
The square root of 250 can be factored into the square root of 25 and the square root of 10.
The square root of 25 is exactly 5, and the exact square root of 10 is another decimal, so your simplified answer can be expressed as 5 times the square root of 10.
