3√(110 - 137) + 4 (-5)^2
To solve the expression, we follow the order of operations (also known as PEMDAS):
1. First, we work inside the parentheses: 110 - 137 = -27
2. Next, we simplify the exponent: (-5)^2 = 25
3. Finally, we substitute the values back into the original expression and perform the remaining operations:
3√(-27) + 4 * 25
Now let's simplify the cube root of -27:
The cube root of -27 is -3 because -3 * -3 * -3 = -27.
Substituting this value back into the expression:
-3 + 100
Finally, adding the two terms:
-3 + 100 = 97
Therefore, 3√(110 - 137) + 4 (-5)^2 = 97.
A square tile in the kitchen has an area of 121 square inches. What is the length of one side of the square tile in inches? Is the tile smaller or larger than a one foot by one foot tile?
What is the length of the square tile in inches?
Is the tile smaller or larger than a one foot by one foot tile?
To find the length of one side of the square tile, we need to find the square root of its area.
The area of the square tile is given as 121 square inches. So, the length of one side can be found by taking the square root of 121:
√121 = 11 inches
Therefore, the length of one side of the square tile is 11 inches.
Now, let's compare the size of the square tile to a one foot by one foot tile.
Since 1 foot is equal to 12 inches, a one foot by one foot tile would have dimensions of 12 inches by 12 inches.
The length of one side of the square tile is 11 inches, which is smaller than the length of one side of a one foot by one foot tile, which is 12 inches.
So, the square tile is smaller than a one foot by one foot tile.