Answer:
56 feet.
Step-by-step explanation:
4k+6k+8k=18k=126⟹k=7
Therefore, the lengths are 4⋅7=28, 6⋅7=42 and 8⋅7=56 feet.
Answer:
Pentagon, Don't remember what those are, and Regular
Step-by-step explanation:
Answer: 3 hours
Step-by-step explanation: 120 miles divided by 40 miles per hour is 3, 3 = how many hours it'll take to get to the destination
First, find the circumference of the wheel using

You know that your diameter is 24. To find the radius, divide the diameter by 2, which is 12.
Input 12 as r and simplify. ->


estimate your Pi as 3.14

and multiply. C=75.36
Now you know the distance of one full revolution in inches. To find 200 revolutions, multiply that answer by 200.
75.36 * 200 = 15,072 inches
But because this is in inches, you have to find the answer in feet, so just divide that answer by 12.
15,072 / 12 = 1,256 ft
Answer:
Step-by-step explanation:
Consider the graphs of the
and
.
By equating the expressions, the intersection points of the graphs can be found and in this way delimit the area that will rotate around the Y axis.
then
o
. Therefore the integration limits are:
and 
The inverse functions are given by:
and
. Then
The volume of the solid of revolution is given by:
![\int\limits^{64}_ {0} \, [2\sqrt{y} - \frac{y}{4}]^{2} dy = \int\limits^{64}_ {0} \, [4y - y^{3/2} + \frac{y^{2}}{16} ]\ dy = [2y^{2} - \frac{2}{5}y^{5/2} + \frac{y^{3}}{48} ]\limits^{64}_ {0} = 546.133 u^{2}](https://tex.z-dn.net/?f=%5Cint%5Climits%5E%7B64%7D_%20%7B0%7D%20%5C%2C%20%5B2%5Csqrt%7By%7D%20-%20%5Cfrac%7By%7D%7B4%7D%5D%5E%7B2%7D%20%20dy%20%3D%20%5Cint%5Climits%5E%7B64%7D_%20%7B0%7D%20%5C%2C%20%5B4y%20-%20y%5E%7B3%2F2%7D%20%2B%20%5Cfrac%7By%5E%7B2%7D%7D%7B16%7D%20%5D%5C%20%20dy%20%3D%20%5B2y%5E%7B2%7D%20-%20%5Cfrac%7B2%7D%7B5%7Dy%5E%7B5%2F2%7D%20%2B%20%5Cfrac%7By%5E%7B3%7D%7D%7B48%7D%20%5D%5Climits%5E%7B64%7D_%20%7B0%7D%20%3D%20546.133%20u%5E%7B2%7D)