Radius = 5 miles
Sector Area = (central angle / 360) * PI * radius^2
5 = (central angle / 360) * PI * 5^2
(central angle / 360) = 5 / (PI * 5*5)
(central angle / 360) = 1 / (PI * 5)
central angle = 360 / (PI * 5)
central angle = 72 / PI
central angle =
<span>
<span>
<span>
22.9183118052
</span>
</span>
</span>
degrees
Source:
http://www.1728.org/radians.htm
Hello from MrBillDoesMath!
Answer:
Area of tile = 24
Discussion:
The area of the triangle is
(1/2) Base * height =
(1/2) 6 * 8 =
(1/2) 48 =
24
Thank you,
MrB
$45.50 ÷ 26% = $175
Total sales for the day is $175.
Answer:

Step-by-step explanation:
<u>Rates of Change as Derivatives</u>
If some variable V is a function of another variable r, we can compute the rate of change of one with respect to the other as the first derivative of V, or

The volume of a sphere of radius r is

The volume of the balloon is growing at a rate of
. This can be written as

We need to compute the rate of change of the radius. Note that both the volume and the radius are functions of time, so we need to use the chain rule. Differentiating the volume with respect to t, we get


solving for 

We need to find the value of r, which can be obtained by using the condition that in that exact time


Simplifying and isolating r

![\displaystyle r=\sqrt[3]{512}=8\ cm](https://tex.z-dn.net/?f=%5Cdisplaystyle%20r%3D%5Csqrt%5B3%5D%7B512%7D%3D8%5C%20cm)
Replacing in the rate of change



jeez that looks really hard
Step-by-step explanation: