The circumference of the vase is 18.84 inches.
<u>Step-by-step explanation:</u>
The circumference of the cylinder is same as the circumference of its base.
Moreover, the base of the cylinder is actually a circle.
So we need to find the circumference of the circle to find the circumference of the cylinder.
From the given figure, we know that the diameter of the base d= 6 inches.
∴The formula for the circumference of the circle = 2πr or dπ.
⇒ circumference = 6×3.14.
= 18.84.
So the circumference of the circle is 18.84 inches.
∴The circumference of the cylindrical vase is also 18.84 inches.
B, C, and D are all correct.
Answer: The second choice: h(x) = (f(x))(g(x))
Step-by-step explanation:
f(x) = -15
g(x) = 15
h(x) = -225
-15 * 15 = -225
Therefore, h(x) is the distribution of f(x) and g(x).
Our current equation is:
-8r -31 = -3(5r -6)
To solve for this, we need to get r on one side of the equation and then simplify if needed.
On the right side of the equation, we have a pending Distributive Property, which is when you multiply the number/variable outside of the parenthesis by all numbers/variables in the parenthesis.
Let's simplify this Distributive Property to help understand our equation better.
-3(5r -6)
Multiply -3 by each number/variable separately (unless they are already being multiplied, like 2x, 1/2x, etc).
-3(5r) + -3(-6).
-3(5r) = -15r
-3(-6) = 18 (both negatives need to be in parenthesis to keep a product as negative, and if you do not multiply them in that way, you will end up with a positive product).
Your equation now is:
-8r -31 = -15r + 18
Add 15r to both sides to get r on one side.
7r -31 = 18 is now our current equation.
Add 31 to both sides to get 7r by itself.
7r = 49 is now our equation.
r is still being multiplied by 7, so we need to do the opposite of multiplying by 7.
Divide both sides by 7.
r = 7.
I hope this helps!
8/20 of a minute or 2/5 of a minute
