Answer:
6√2
Step-by-step explanation:
So the diagonal of a square is equal to √2 times the length of the side of the square. Working backwards that would mean: 12/√2 = side of square
this means that the side of the square is 6√2
The side of the square is also the diameter of the circle.
I'm not sure this was the type of formula you're looking for but I hope it helped!
I assume that this is a sequence and you need to find the next number in the sequence.
The first two numbers are give as 133 and 142, we can get the difference between them by subtraction as follows:
142 - 133 = 9
This means that adding 9 will generate the next term as follows:
133
133+9 = 142
142 + 9 = 151
This means that : n=151
Answer choice B, G(x) = (x-2)^3
The given equation is:
ax + by = 12
We are given that the two points (6,0) and (3,2) belong to this line. This means that these two points satisfy the equation of the line.
Therefore, to get the value of a and b, we will substitute with the given points in the equation and solve the resulting equations for a and b as follows:
For the point (6,0):
ax + by = 12
a(6) + b(0) = 12
6a = 12
a = 12/6 = 2
For point (3,2):
ax + by = 12
(2)(3) + b(2) = 12
6 + 2b = 12
2b = 12-6 = 6
b = 3
Based on the above calculations:
a = 2 and b = 3, therefore, the equation is:
2x + 3y = 12
Answer:
Part a) The equation for the volume of the film canister is
Part b) The radius of the film canister is 
Step-by-step explanation:
<u><em>The complete question is</em></u>
A film canister in the shape of a cylinder has a height of 8 centimeters and a volume of 32π cubic centimeters.
a. Write an equation for the volume of the film canister.
b. What is the radius of the film canister?
Part a) Write an equation for the volume of the film canister
we know that
The volume of a cylinder is equal to

where
r is the radius of the circular base
h is the height of the cylinder
we have


substitute
----> equation for the volume of the film canister
Part b) What is the radius of the film canister?
we have


Simplify
Divide by 8π both sides

square root both sides
