60minutes because 24 divide 8 is 3 and 3 times 20 is 60
You have x , x+7, and 7x-7. When you add those up and equal it to 180 you can get your x. X equals 20
So one angle is 20 degrees
The second angle is 27 degrees
And the third angle is 133 degrees.
Answer:
V = pi*x^2*(18x - 45)
Step-by-step explanation:
If the diameter is 6x and the height is 2x + 5, we know that the radius is 3x.
Plugging this info into the volume-of-a-cylinder formula V = pi*r^2*h, we get:
V = pi*(3x)^2*(2x - 5), or V = pi*(9x^2)(2x -5), or:
V = pi*(18x^3 - 45x^2), or V = pi*x^2*(18x - 45)
Let A and B be the two complementary angles.
A = smaller angle = 2x
B = larger angle = 13x
x = some unknown number
Note how the ratio A:B turns into 2x:13x which simplifies to 2:13
A+B = 90 ... because the angles are complementary
2x+13x = 90 ... substitution
15x = 90
x = 90/15
x = 6
A = 2*x = 2*6 = 12 degrees
B = 13*x = 13*6 = 78 degrees
The two angles are 12 degrees and 78 degrees.
Check:
A/B = 12/78 = (2*6)/(13*6) = 2/13, so A:B = 2:13
A+B = 12+78 = 90
Answer:
This is a sphere with a center 
and radius 
Step-by-step explanation:
Given that: (x,y,z)
where;
d₁ is the distance from the origin = 
d₂ is the distance from (2,2,2) = 
Also;
d₁ = 2d₂
By squaring both sides;
Collect the like terms:
Divide both sides by 3
Using the completing the square method;
∴
This is a sphere with a center and ;
radius; 
