First, we need to find 33% of $402. (132.66)
Now since it's 33% less than before, we need to add how much the price was reduced by.
402+132.66= 534.66
The original price was $534.66
Answer: 30
Step-by-step explanation:
If we were to draw diagonal BD, then we would create two congruent triangles, and we could find the area of each using the formula 
.
However, since there are two triangles, we can double this, giving us 
.
So, the area is 
Answer:
a. 61.92 in²
b. 21.396 ≈ 21.4%
c. $4.71
Step-by-step explanation:
a. Amount of waste = area of rectangular piece of stock - area of two identical circles cut out
Area of rectangular piece of stock = 24 in × 12 in = 288 in²
Area of the two circles = 2(πr²)
Use 3.14 as π
radius = ½*12 = 6
Area of two circles = 2(3.14*6²) = 226.08 in²
Amount of waste = 288 - 226.08 = 61.92 in²
b. % of the original stock wasted = amount of waste ÷ original stock × 100
= 61.92/288 × 100 = 6,162/288 = 21.396 ≈ 21.4%
c. 288 in² of the piece of stock costs $12.00,
Each cut-out circle of 113.04 in² (226.08/2) will cost = (12*113.04)/288
= 1,356.48/288 = $4.71.
Have you got the answer ?
Answer:
2.053 hours
Step-by-step explanation:
From the question,
A half marathon is around 13 miles. Brian can run about 6 1⁄3 miles per hour.
If Brian keeps his pace, how long will it take him to run a half marathon?
This is calculated as:
6 1/3 miles = 1 hour
13 miles = x hour
Cross Multiply
6 1/3 miles × x hour = 13 miles × 1 hour
x hour = 13 miles × 1 hour/6 1/3 miles
x hour = 13 ÷ 6 1/3 miles
x hour = 13 ÷ 19/3
x hour = 13 × 3/19
x hour = 39/19
x hour = 2.0526315789 hours
Approximately = 2.053 hours
It will take him 2.053 hours to run a half marathon.
