Hello!
The formula for volume of a rectangular prism is:
V = lwh
Let's convert the dimensions to decimals, and then use the formula to solve.
8 1/2 = 8.5 as a decimal.
7 = 7 as a decimal.
2 1/2 = 2.5 as a decimal.
Multiply:
V = 8.5 × 7 × 2.5
V = 59.5 × 2.5
V = 148.75
148.75 = 148 3/4 as a fraction because if you convert 3/4 to a decimal by dividing the numerator by the denominator, it equals 0.75.
ANSWER:
The volume of the book is 148 3/4 inches cubed.
Answer: y+2x=15
Step-by-step explanation:
Given
Two points A and B are (4,7) and (6,3) respectively
Using two-point form
Putting values
Answer:
Step-by-step explanation:
Given
Required
Simplify
We have:
Collect like terms
Evaluate like terms
Answer:
The mean of the data is 26.
Step-by-step explanation:
Consider the provided data:
30, 29, 28, 30, 24, 12, 26, 33, 25, 23
Mean can be calculated as:
The average of all the data in a set.
Therefore,
Thus, the mean of the data is 26.
Answer and Step-by-step explanation:
C1) (x-1)²+(y+2)²=1 C1 (1,-2) R1 = √1 = 1
C2) (x+5)²+(y-4)²=4 C2 (-5,4) R2 = √4 = 2
DISTANCE FORMULA: d² = (y₂-y₁)²+(x₁-x₂)²
calculating the distances between the 2 center:
d² = (4-(-2))²+(-5-1)² = (6)²+(-6)² = 36 + 36 = 72 ⇒ d = √72
√72 ≈ 8.49
R1 = 1 and R2 = 2
If the circles were secants, d would be < than R1 + R2.
If the circles were tangent, d would be = to R1 + R2
As d > than R1 + R2, we know that the circles do not intercept.