Answer:
The radius is 6.1 cm
Step-by-step explanation:
The volume of a sphere is
V = 4/3 pi r^3
There is a typo in the problem.
We know the volume
950 = 4/3 (3.14) r^3
Multiply each side by 3/4
3/4 *950 = 3.14 r^3
712.5 = 3.14 r^3
Divide each side by 3.14
712.5/3.14 = r^3
226.910828 = r^3
Take the cube root of each side
226.910828 ^ (1/3) = r^3 ^ 1/3
6.099371323 = r
The radius is 6.1 cm
Answer: .
Step-by-step explanation:
This is a rhombus and in any rhombus, the diagonals intersects in the middle and they are perpendicular:
So all 4 triangles are right triangles and the sides are the hypotenuses.
1st) Calculate the sides: hypotenuse² = 3² + 4² = 25, and hypotenuse = 5
The area of each right triangle is (4 x 3)/2 = 6 units²
And the area of the 4 right triangles = 4 x 6 = 24 init²
Answer:
5 1/3 hours.
Step-by-step explanation:
Ashley prepares 1 bag in 2/3 minutes.
One friend takes 2/3 + 3/4 * 2/3 = 7/6 minutes to make 1 bag.
4 of her friends can make 1 bag in 7/6 * 1/4 = 7/24 minutes.
If it takes x minutes for Ashley and 4 friends to make one bag then we have:
1 / 2/3 + 1 / 7/24 = 1 / x
3/2 + 24/7 = 1/x
Multiply through by 14x:
21x + 48x = 14
x = 14/69 minutes.
So the time to make 1575 bags = 1575 * 14/69
= 320 minutes.
Exponential growth is
F=P(1+r)^t
F=future amount
P=present amount
r=rate
t=time in years
rate=2%=0.02
therefor the equation is
f(x)=23,000(1+0.02)^x
f(x)=23,000(1.02)^x
where x=time in years from 2012
