No because mixed numbers need atleast a one and a fraction to be a mixed number
We are asked to solve for the width "x" in the given problem. To visualize the problem, see attached drawing.
We have the area of the swimming pool such as:
Area SP = l x w
Area SP = 10 * 16
Area SP = 160 feet2
Area of the swimming pool plus the sidewalk with uniform width:
Area SP + SW = (10 + x) * (16 + x)
160 + 155 = 160 + 10x + 16x + x2
160 -160 + 155 = 26x + x2
155 = 26 x + x2
x2 + 26x -155= 0
Solving for x, we need to use quadratic formula and the answer is 5 feet.
The value of x is
<span>
5 feet. </span>
9514 1404 393
Answer:
16 miles
Step-by-step explanation:
The problem can be modeled by a right triangle with one angle of 7° and the side opposite being 10,000 ft. The distance needed is the hypotenuse of the triangle, so the relevant trig relation is ...
Sin = Opposite/Hypotenuse
Hypotenuse = Opposite/Sin
air distance = (10,000 ft)/sin(7°) ≈ 82,055 ft
At 5,280 ft per mile, that is ...
(82,055 ft)/(5,280 ft/mi) ≈ 15.54 mi
The plane's air distance to the airport is about 16 miles.
Answer: 65.5 inches of the box is empty.
Step-by-step explanation:
Given : Diamter of circular pizza =10 inches
Then, radius =![\dfrac{10}{2} = 5\text{ inches}](https://tex.z-dn.net/?f=%5Cdfrac%7B10%7D%7B2%7D%20%3D%205%5Ctext%7B%20inches%7D)
Area of circle = ![\pi r^2](https://tex.z-dn.net/?f=%5Cpi%20r%5E2)
Area of pizza = ![3.14\times(5)^2=78.5\ sq. inches.](https://tex.z-dn.net/?f=3.14%5Ctimes%285%29%5E2%3D78.5%5C%20sq.%20inches.)
Side of square = 12 inches
Area of square = side x side.
Area of square = 12 x 12 = 144sq. inches.
Area of box empty = Area of square - Area of pizza
= 144-78.5 sq. inches
= 65.5 inches
Hence, 65.5 inches of the box is empty.