Answer: 3987.8cm³
Step-by-step explanation:
Volume of a cylinder = πr²h
where
π = 3.14
r = diameter / 2 = 10in/2 = 5inches
h = height = 20in
Volume = πr²h
= 3.14 × 5² × 20
= 3.14 × 25 × 20
= 1570inches³
Since 1 inch = 2.54cm
1570 inch = (1570 × 2.54) = 3987.8cm³
Therefore, the volume of the cylinder is
3987.8cm³ cubic centimeters.
Answer:
4
Step-by-step explanation:
Let y be the width of the rectangle
The length of the rectangle is 5 unit more than the width. This is written as:
Length = y + 5
Area = 36
Recall:
Area of rectangle = length x width
36 = (y + 5) x y
36 = y^2 + 5y
Rearrange the expression
y^2 + 5y — 36 = 0
To solve this problem by factorization, multiply the first term (i.e y^2) and last term ( i.e — 36) together. This gives — 36y^2
Next, find two factors of —36y^2 such that when we add them together it will result to the second term (5y). These factors are —4y and 9y. Now we substitute —4y and 9y in place of 5y in the equation. This is illustrated below:
y^2 + 5y — 36 = 0
y^2 —4y + 9y — 36 = 0
We factorize as follows:
y(y — 4) + 9(y —4) = 0
(y + 9) (y — 4) =0
y + 9 = 0 or y — 4 = 0
y = —9 or y = 4
Since the measurement can not be negative, therefore y (i.e the width) is 4
Answer:
VX=26
Step-by-step explanation:
Since YZ is a midpoint of both VW and XW you know that YZ equals 1/2 VX or 2 YZ= VX
2(25-6x) = 9x+8 Simplify the times 2
50-12x = 9x+8 Subtract 8 from both sides
42-12x = 9x Add 12x to both sides
42 = 21x Divide by 21
2 = x
I need a question ok this is the a question
Multiply them by their whole number but what you do to one side, you must do to the other.
Ex. 1/5 times 5 is 1
But if you have a equation, you would have to multiply the other side by 5 for them to be equivalent and still the same.
