Answer:
The volume of the sphere is 1436 in³
The equation is
V = ⁴⁄₃ * 3.14 * (7ft)³
Step-by-step explanation:
radius = half of diameter
d = 14ft
r = 14ft / 2 = 7ft
To calculate the volume of a sphere we have to use the following formula:
V = volume
r = radius = 7ft
π = 3.14
V = ⁴⁄₃πr³
we replace with the known values
V = ⁴⁄₃ * 3.14 * (7ft)³
V = 4.187 * 343 in³
V = 1436 in³
The volume of the sphere is 1436 in³
Answer:
w = 9
Step-by-step explanation:
18 + 4w = 6w
6w - 4w = 2w
2w = 18
18/2 = 9
2w/2 = w
w = 9
Answer:
x=12
Step-by-step explanation:
Since this is a right triangle we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
9^2 + x^2 = 15^2
81 + x^2 = 225
Subtract 81 from each side
x^2 =225-81
x^2 =144
Take the square root of each side
sqrt(x^2) = sqrt(144)
x=12
F(x)=-2x^3-5
f(-2)=2(-2)^3-5
f(-2) = 2(-8)-5
f(-2)= -16-5
f(-2)=-21
(-2,-21)
g(x)=-3x+2
g(7)=-3(7)+2
g(7)=-21+2
g(7)=-19
(7,-19)
The distribution of the -4 was incorrectly put in as -4b when it should be 4b