Answer:
length and width = 40 and 10 ft.
Step-by-step explanation:
The perimeter of a rectangular toddler play area is 100 feet.
Perimeter = 2(length + width)
Let the width = w
The length is 10 feet more than 3 times the width. Length = 10+(3w)
now put the values
100 = 2(10+3w + w)
100 = 2w + 20 + 6w
100 = (2w + 6w) + 20
100 = 8w + 20
8w = 100 - 20
w =
w = 10 feet.
Now Length = 10+ (3w)
= 10+( 3 × 10)
= 10 + 30
= 40 feet
Therefore, length = 40 feet and width = 10 feet
Answer:
.78
Step-by-step explanation:
3.90/5 = .78
Answer:
$67.83
Step-by-step explanation:
Price before tax: $85
Discount: 25%
100% - 25% = 75% = 0.75
Price after discount: 0.75 * $85 = $63.75
Tax: 6.4%
100% + 6.4% = 106.4% = 1.064
Price after discount & tax: 1.064 * $63.75 = $67.83
Answer: $67.83
Answer:
The height of cylinder is 9 cm
Step-by-step explanation:
Volume of cylinder = 198 cm³
Base Area = 22 cm²
We need to find height of the cylinder
The formula used is: ![Volume\:of\:cylinder=\pi r^2h](https://tex.z-dn.net/?f=Volume%5C%3Aof%5C%3Acylinder%3D%5Cpi%20r%5E2h)
Where ![Base\: Area = \pi r^2](https://tex.z-dn.net/?f=Base%5C%3A%20Area%20%3D%20%5Cpi%20r%5E2)
First we need to find radius r
![Base\: Area = \pi r^2\\22=3.14\: r^2\\r^2=\frac{22}{3.14}\\r^2=7\\Taking\: square\: root\: on\: both\: sides\\\sqrt{r^2}=\sqrt{7}\\r=2.656](https://tex.z-dn.net/?f=Base%5C%3A%20Area%20%3D%20%5Cpi%20r%5E2%5C%5C22%3D3.14%5C%3A%20r%5E2%5C%5Cr%5E2%3D%5Cfrac%7B22%7D%7B3.14%7D%5C%5Cr%5E2%3D7%5C%5CTaking%5C%3A%20square%5C%3A%20root%5C%3A%20on%5C%3A%20both%5C%3A%20sides%5C%5C%5Csqrt%7Br%5E2%7D%3D%5Csqrt%7B7%7D%5C%5Cr%3D2.656)
So, we get radius r = 2.656
Putting values of volume and radius are to find height
![Volume\:of\:cylinder=\pi r^2h\\198=3.14(2.656)^2h\\h=\frac{198}{22}\\h=9](https://tex.z-dn.net/?f=Volume%5C%3Aof%5C%3Acylinder%3D%5Cpi%20r%5E2h%5C%5C198%3D3.14%282.656%29%5E2h%5C%5Ch%3D%5Cfrac%7B198%7D%7B22%7D%5C%5Ch%3D9)
So, the height of cylinder is 9 cm