Answer:
5 units
Step-by-step explanation:
The <u>volume of the cylinder</u> is the area of the circle multiplied by it's height. Therefore, the volume of the cylinder is πr² × h, which when simplified, gives us πr²h. Let's substitute the volume and the radius in the formula to find the height.
⇒ πr²h = Volume of cylinder
⇒ (π)(3²)(h) = 45π
Now, simplify the equation to evaluate the area of the cylinder.
⇒ (π)(3²)(h)/(3²)(π) = 45π/(3²)(π)
⇒ (h) = 45π/(9)(π) = 45/(9) = 5 units
Answer:
the solution is (4, 1).
Step-by-step explanation:
The goal here is to "solve this system of linear equations." You need to share that along with the equations.
We can begin the solution by substituting 3y + 1 for x in the second equation:
2(3y + 1) + 4y = 12
Performing the multiplication, we get 6y + 2 + 4y = 12, or 10y = 10.
Then y must be 1.
Substituting 1 for y in the first equation, we get x = 3(1) + 1 = 4
Thus, the solution is (4, 1).
Answer:
d = 11
Step-by-step explanation:
Isolate the variable (d). Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First, add 5 to both sides
2d - 5 (+5) = 17 (+5)
2d = 17 + 5
2d = 22
Next, divide 2 from both sides
(2d)/2 = (22)/2
d = 22/2
d = 11
11 is your answer for d.
~
Answer:
vvvvvvvvvv
Step-by-step explanation:
there are lots of common polar curves that are bounded therefore a polar curve is not always bounded all the time. a polar curve is required to have an unbounded function (right side of r = f(θ)) to be an unbounded polar.
All sides of a triangle add up to 180 degrees. Since we know one angle is 93 degrees, we know that the top part is going to equal 180 degrees. We know that two of those measurements are 93 and 45, so we add those together to get 138. We subtract this from 180 to find the missing angle, which is 42 degrees. So, the left side of the triangle is equivalent to 45 degrees and the right side (x) is 42 degrees. 93 + 45 + 42 = 180. If it was asking for the measurements of the supplementary angles to the bottom angles of the triangle, then those would be (for 45) 135 and (for 42) 138, that way both angles and their supplements add up to 180 each. I hope this helps and that it’s right
