First, find the LCD (least common denominator) of the two fractions.
List the multiples of each denominator and find the one that is common.
Multiples of 8: 8, 16, 24, 32, 40
Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40
40 is your LCD.
Second, what can you divide by to make the denominators of each fraction '40'? Whatever you do to the bottom you must do to the top.
Third, multiply.
Fourth, since the denominators are the same now, we can combine them.
Fifth, subtract '25 - 16' to get 9.
Since
is already in the simplest form, it is your answer.
Answer as fraction:
Answer as decimal:
Volume = base area x height
360 = base area x 10
base area = 360 ÷ 10
base area = 36 in²
Possible dimensions :
1 x 36
2 x 18
3 x 12
4 x 9
6 x 6
There are 5 different size boxes that he can make.
Answer:
a^2.
Step-by-step explanation:
The greatest common factor is a^2. It cannot be 3ab or 3a^2b because b is not present in the last term (a^2). Similarly there is no 3 or multiple of 3 in a^2.
The area of the square is calculated through the equation,
Area = e²
where e is the measure of sides.
From the given,
64 = e²
e = sqrt 64 = 8 inches
The length of the side of the square rotated to form the cylinder is the diameter of the base of the cylinder. To get the radius, we divide the diameter by 2.
radius = 8 inches / 2 = 4 inches
Thus, the radius of the cylinder is equal to <em>4 inches</em>.
Plug in -4 for X and solve
