Answer:
<h2>
C)1.5</h2>
Step-by-step explanation:
Since a cube is a three dimensional solid with square faces, the distance from center of the cube to the base of the cube is the same as half any one of its sides (all sides in a cube having the same length).
If we consider the length of the side to be a, then formula for volume of a cube is:
V=a³
27=a³
Find the cube root on both sides.
3×3×3=a×a×a
3=a
Since the length of the side is 4, the distance from the center of the cube to the base of the cube is
3/2=1.5
Answer:
Alan would need 13.2 gallons of gas to drive 286 miles.
Step-by-step explanation:
This question can be solved in a number of ways. First, you can find the unit rate, or the approximate amount of miles that Alan can drive per gallon of gas. Since we know that Alan drove 260 miles using 12 gallons of gas, we can divide the number of miles by the number of gallons to get the amount of miles per gallon: 260 ÷12 = 21.67miles per gallon. In order to find the amount of gas needed to drive 286, we take the total mileage divided by the unit rate: 286 ÷ 21.67 = 13.2 gallons. The other way to solve is using a proportion with a variable, for example: 260/12 = 286/x. Using cross-multiplication and divide, we get 260x = 3432, divide both sides of our equation by 260 to isolate the variable and solve for x = 13.2 Either method will result in the same answer.
Answer:
145
Step-by-step explanation:
We will let x equal our unknown number. So:
(x + 5)/2 = 75
Now we can solve for x
We can first multiply both sides of the equation by 2. This will get rid of the fraction on the left side:
x + 5 = 75 * 2 ----->
x + 5 = 150
Next, subtract 5 from both sides:
x + 5 - 5 = 150 - 5 ----->
x = 145
Answer:
Step-by-step explanation:
The expression has been given as:
Required: Find 
Simplify the fraction
Take arc tan of both sides
