Answer: The answer is 2,713 in³
The volume (V) of the prop is the sum of the volume of cone (V1) and half of the volume of the sphere (V2): V = V1 + 1/2 * V2
Volume of the cone is:
V1 = π r² h / 3
According to the image,
h = 14 in
r = 9 in
and
π = 3.14
V1 = 3.14 * 9² * 14 / 3 = 1,186.92 in³
The volume of the sphere is:
V2 = π r³ * 4/3
According to the image,
r = 9 in
and
π = 3.14
V2 = 3.14 * 9³ * 4/3 = 3,052.08 in³
The volume of the prop is:
V = V1 + 1/2 * V2
V = 1,186.92 in³ + 1/2 * 3,052.08 in³
V = 1,186.92 in³ + 1,526.04 in³
V = 2,712.96 in³ ≈ 2,713 in³
The integers 6 and -6 both have the absolute value of 6.
Remember that absolute value is the distance from the number and 0 on a number line.
Final answer: x=-6 or x=6
The mathematical formula to solve this is :
f(n)= f1 + (n-1)d
We have:f(n)= 11 + (n-1)-4
f(n)= 11 -4n +4
f(n)=15 -4n
The right answer is D.
Answer:
23.24
Step-by-step explanation:
If the width is 3.4, the radius is 1.7.
7.2-1.7=5.5
Rectangle = 5.5x3.4=18.7
Half circle = 1/2x3.14x1.7²=4.5373
18.7+4.5373=23.2373
Answer:
10% no rounding really necessary.
Step-by-step explanation:
Percent of reduction is basically asking, what do you need to multiply the original by to get the new number. So it's algebra.
40x = 36
x = 36/40
x = .9
So this means 36 is 90% of 40. So how much of a percent was taken away? 10. So that means it is 10% off.
if it helps you can think of percent increase or decrease like this . If you have some original value P and want to reduce/ increase by a percent x you would write it out like this.
P + x*P = P(1+x) where of course x is negative if you are decreasing. And you want x to be written as a decimal, so 34% would be .34 So in this case it would look like this.
36 = 40(1-x)
.9 = 1-x
-.1 = -x
.1 = x
So that's another way to get to the answer.
