These are vertical angles and if one side is 150 degrees then the other is also 150 degrees so 3x-15=150 so the answer is x =55
Answer:
Step-by-step explanation:
From the way the answers are presented, it can be seen that x refers to the radius of the base of the cone
radius: 
and we are told that the height is twice the radius, so:
height: 
and now we use the formula to calculate the volume of a cone:
where 
is volume, 
is radius, and 
is the height. and 
is a constant
in this case
so we substitute thisvalues in the formula for the volume:
Rearranging the terms
which is option A.
Answer:
is it to late now
Step-by-step explanation:
Answer:
$29,220 per year
Step-by-step explanation:
$560 per week × 52.18 weeks = $29,220 per year.
So, the area of a rectangle is <span>LxW. </span>For this rectangle, <span>LxW=320. </span>We also know that the length is 4 feet longer than the width, that is L=W+4. With some substitution, we get<span>(W+4)W=320. </span>Simplify to get <span>W^2+4w=320. </span>Now the fun part! When we complete the square, we'll end up with (W+___)^2, right? So, let's take half of 4, which is 2, and square it. That's 4. Add that 4 to what we already have:W^2+4W+4. But remember, what we do to one side of an equation we must do to the other side. So we really have <span>W^2+4W+4=320+4.</span>We simplify and get <span>W^2+4W+4=324. </span>Factor the left side of the equation and get<span>(W+2)^2=324. </span>When we take the square root of both sides of the equation we getW+2=18, so W=16, which means the length (4 ft longer) is 20 ft. Do you have questions about the completing the square part? In a trinomial, the coefficient in the x term is the sum of the two factors and the constant term is the product. So, in the completing the square, you have the sum of a number added to itself or 2 times that factor. That's why we take half of it. Then, we square it to get the constant term. Square completed. But don't forget to keep the balance in the equation by also adding the constant term to the other side.
