now, let's recall Cavalieri's Principle, "solids with equal altitudes and cross-sectional areas at each height, have the same volume".
so, even though this cylinder is slanted, it has the same cross-sectional area as a cylinder that's straight-up, whose altitude is h = 5, and radius r = 4.

Answer:
Option 4) 
Step-by-step explanation:
we know that
If two figures are similar then the ratio of its areas is equal to the scale factor squared
Let
z------> the scale factor
x-----> the area of the dilated rectangle
y----> the area of the original rectangle
so

we have


substitute and solve for x


Answer:
<h3>X<2</h3>
Step-by-step explanation:
To solve this problem, first, you have to isolate x on one side of the equation.
x+1-1<3-1 (First, subtract 1 from both sides.)
3-1 (Solve.)
3-1=2
x<2
The correct answer is x<2.
Answer: -20
Step-by-step explanation: Using the same expression except positive numbers, 4 x 5 = 20.
In this case, we can use this equation to find the product for the expression
4 x -5.
If 4 x 5 = 20, then 4 times -5 will also equal 20. However, since there is a negative factor in this expression, our answer will be negative causing our answer to be <u>-20.</u>
Answer:
x=16
y= 100
Step-by-step explanation:
<1 and <3 are vertical angles so they are equal
5x = 80
Divide each side by 5
5x/5 = 80/5
x = 16
Angles 2 and 3 are supplementary since they form a straight line, they will add to 180
<2 + <3= 180
y+80 = 180
Subtract 80 from each side
y+80-80 = 180-80
y= 100