Answer:
3 yards.
Step-by-step explanation:
The perimeter of a shape is the sum of the length of all the sides of the shape.
The shape described above is a pentagon since it has 5 sides.
One side is 3/5 yards long.
Hence, the perimeter will be:
P = 3/5 + 3/5 + 3/5 + 3/5 + 3/5
P = 3 yards.
The perimeter of the chicken coop is 3 yards.
Another way of solving this is to simply take 3/5 five times. That is:
P = 3/5 * 5
P = 3 yards.
We arrive at the same answer.
The minimum Sam need to get is a 70.
70 + 60 = 130
130/2 = 65
Answer:
Step-by-step explanation:
Let he speed of the boat on the lake is x.
<u>Considering the speed of the current it will take him:</u>
- 22.5/(x + 6) + 22.5/(x - 6) = 9
- 2.5 / (x + 6) + 2.5 / (x - 6) = 1
- 2.5(x - 6 + x + 6) = (x + 6)(x - 6)
- 2.5*2x = x² - 36
- x² - 5x - 36 = 0
- x = (5 ± √(5² + 4*36))/2 = (5 ± 13) / 2
- x = (5 + 13)/2 = 9 mph (negative root is discarded as the speed should be positive)
Answer:
x³-2x² = x2(x – 2) cubic units
Step-by-step explanation:
The volume of a prism is found by multiplying the base area by the height. The base area is a parallelogram and so the area is x*(x-2) = x² -2x.
Multiply this area by the height x.
V = x(x² - 2x) = x³-2x²
This is the same as x2(x – 2) cubic units.
Answer: 4 (22x^2 - 66x + 75)
Step-by-step explanation: factor 4 out of the equation
