Answer:
4 times
Step-by-step explanation:
it wont go smaller than 3/4 so it is 4 times
We can find the distance between two points by using distance formula,

Here,
x₁ = -3
x₂ = 5
y₁ = -2
y₂ = 2
Therefore,

Hence the √80 = 8.94 approx is the distance between the two points (-3,-2) and (5,2).
The GCF of 72 and 36 is: 36
List out the factors of each number (72 and 36), and find the common factors between the two numbers.
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Looking at the factors above, the common ones are 1, 2, 3, 4, 6, 9, 12, 18, and 36. But... considering we are looking for the "greatest" common factor, our highest number out of the listed ones is 36, making it the greatest common factor of 72 and 36.
Answer
I'll help with part a.
Convert revolutions per minute to revolutions per second. Next, convert from revolutions per second to radians per second. Finally, plug the numbers into the formula for angular velocity (this involves the diameter/radius value)
Answer:
The height of the prism is 5 inches
Step-by-step explanation:
The rule of the lateral area of the rectangular prism is
L.A = 2(L + W) × H, where
- L is the length of the base of the prism
- W is the width of the base of the prism
- H is the height of the prism
∵ A rectangular prism has a length of 9 inches and a width of 8 inches
∴ L = 9 inches
∴ W = 8 inches
∵ The lateral area of it is 170 square inches
∴ L.A = 170 square inches
→ Substitute them in the rule above to find the height of the prism
∵ 170 = 2(9 + 8) × H
∴ 170 = 2(17) × 5
∴ 170 = 34 × H
→ Divide both sides by 34 to find H
∴ 5 = H
∴ The height of the prism is 5 inches.