Answer:
The square root of 130 would be 11.4017543. Rounding to the nearest tenth, we would get 11.4, because the value 0 is below 5. Rounding 11.4 to the nearest whole number, we would get 11, because the value 4 is below 5. So either 11 or 11.4 works, depending on if you are looking for a decimal or a whole number.
Hope this helps ya :D
Answer:
Step-by-step explanation:
The Total Cost formula for the Dealership is
$24 + ($99/hr)h, where h represents the number of hours of labor performed.
That for the Local Mechanic is
$45 + ($89/hr)h
We equate these two formulas so as to determine h, the number of hours elapsed so that the total costs are the same:
24 + 99h = 45 + 89h
Combining like terms, we get:
21 = 188h
Solve for h by dividing both sides by 188:
h = 188/21 = 8.95
The two bills would be equal 8.95 hours after commencement of the work.
<em>Part b</em>:
Dealership: $24 + ($99/hr)h. Evaluate this at 8.95 hrs: $910.05.
The dealership's bill would be more expensive AFTER 8.95 hours, because the rate of change ($99/hr) is greater in that case.
The local mechanic's total bill would be less up until the time that the car has been worked on for 8.95 hours.
$24 + ($99/hr)(8.95 hr) =
We're going through all the shapes.
A sphere has volume
![V_{\textrm{sphere}}= \frac 4 3 \pi r^3](https://tex.z-dn.net/?f=V_%7B%5Ctextrm%7Bsphere%7D%7D%3D%20%5Cfrac%204%203%20%5Cpi%20r%5E3%20)
A hemisphere has half the volume and a radius is half a diameter.
![V= \frac 1 2 (\frac 4 3) \pi (\frac d 2)^3 = \frac{1}{12} \pi d^3](https://tex.z-dn.net/?f=V%3D%20%5Cfrac%201%202%20%28%5Cfrac%204%203%29%20%5Cpi%20%28%5Cfrac%20d%202%29%5E3%20%3D%20%5Cfrac%7B1%7D%7B12%7D%20%5Cpi%20d%5E3)
![V = \frac{\pi}{12} (8.9)^3 \approx 184.6 \textrm{ cc}](https://tex.z-dn.net/?f=V%20%3D%20%5Cfrac%7B%5Cpi%7D%7B12%7D%20%288.9%29%5E3%20%5Capprox%20184.6%20%5Ctextrm%7B%20cc%7D)
No,The room is not a square shaped.This is because.Perimeter of the square shape would be length of any sides×4 as all sides will be the same in a square.Therefore, if the room ia a square, the 4 sides of room floor will be equal too.It is not a square shaped room beacause it sides are not equal for floor.We can determine by finding the sides;
diagonal is 18.75 so by using pythagoras theorem
diagonal^2 =l^2 + b^2
b^2=18.75^2 + 17^2
b =25.31 inches which is not the same as the length 17 inches.Therefore,the room is not a square