Hello!
When finding the perimeter of a rectangle, you have to consider the properties of a rectangle. A rectangle has two pairs of equal sides where one is the width, while the other one is the length.
Now looking back at your question, it says "... a rectangle that is x units wide" ⇒ you let the width = x ; this is the same with "y units long" ⇒ length = y. Perimeter can just be : P = 24.
Therefore,
The equation would be:
x + x + y + y = P.
2x + 2y = P.
(Sub in P = 24)
∴ 2x + 2y = 24. (This should be your answer.)
:) Good luck (Message me if you have any problem)
Alrighty, what I was always taught was to start by writing out what you know from the question.
What I know:
-Tom is paid $0.23 for every page of proofs.
-He proofreads 1,992 pages.
In order to figure out how much money Tom has made, we need to multiply 0.23 by 1,992. Multiplying allows us to see the total amount of money made by proofreading x amount of pages - for every page he proofreads, he makes $0.23.
0.23×1992=458.16
Therefore, Tom made $458.16.
Hope this helps!
Answer:
Answer Cone Z and Cylinder Y.
Step-by-step explanation:
The relationship between the volume of the cone and the volume of the cylinder with the same height and same base is the volume of the cone is 1/3 of the volume of the cylinder.
The formula for the volume of the cone is :
V = 1/3π
h
The formula for the volume of the cylinder is :
V = πh
Let be the height of the cylinder Y. Therefore the height of the cone Z is 3h, when we put it into the formula we get :
V = 1/3π (3h) = πh
Therefore Cone Z and Cylinder Y have same volume.
The Pythagorean Theorem is a^2 + b^2 = c^2 where a and b are the sides and c is the hypotenuse.
From the picture you have a = 10 and c = 15.
Now you have:
10^2 + b^2 = 15^2
Simplify:
100 + b^2 = 225
Subtract 100 from both sides:
b^2 = 125
Take the square root of both sides:
b = √125
b = 11.2
Best to find the equation of the parabola first:
Its equation is y+12.5 = (x+1.5)^2, or y = -12.5 + (x+1.5)^2
Check the first possible x-intercept: let x = -2. Does y come out to 0?
y = -12.5 + (-0.5)^2 = -12.5 + 0.25. This is not equal to 0, so (-2,0) is not an x-intercept of this parabola. Continue checking each possible x-intercept until you find the right one (or ones).
