He needs to get a 86 on the final to have an 85 in class. I hope this helps!
The formulas for arc length and area of a sector are quite close in their appearance. The formula for arc length, however, is related to the circumference of a circle while the area of a sector is related to, well, the area! The arc length formula is
![AL= \frac{ \beta }{360} *2 \pi r](https://tex.z-dn.net/?f=AL%3D%20%5Cfrac%7B%20%5Cbeta%20%7D%7B360%7D%20%2A2%20%5Cpi%20r)
. Notice the "2*pi*r" which is the circumference formula. The area of a sector is
![A s= \frac{ \beta }{360} * \pi r ^{2}](https://tex.z-dn.net/?f=A%20s%3D%20%5Cfrac%7B%20%5Cbeta%20%7D%7B360%7D%20%20%2A%20%5Cpi%20r%20%5E%7B2%7D%20)
. Notice the "pi*r squared", which of course is the area of a circle. In our problem we are given the arc length and the radius. What we do not have that we need to then find the area of a sector of the circle is the measure of the central angle, beta. Filling in accordingly,
![6 \pi = \frac{ \beta }{360} *2 \pi (18)](https://tex.z-dn.net/?f=6%20%5Cpi%20%3D%20%5Cfrac%7B%20%5Cbeta%20%7D%7B360%7D%20%2A2%20%5Cpi%20%2818%29)
. Simplifying by multiplying by 360 on both sides and then dividing by 36 on both sides gives us that our angle has a measure of 60°. Now we can use that to find the area of a sector of that same circle. Again, filling accordingly,
![A_{s} = \frac{60}{360} * \pi (18) ^{2}](https://tex.z-dn.net/?f=%20A_%7Bs%7D%20%3D%20%5Cfrac%7B60%7D%7B360%7D%20%2A%20%5Cpi%20%2818%29%20%5E%7B2%7D%20)
, and
![A_{s} =54 \pi](https://tex.z-dn.net/?f=%20A_%7Bs%7D%20%3D54%20%5Cpi%20)
. When you multiply in the value of pi, you get that your area is 169.65 in squared.
Answer:
Step-by-step explanation:
1. So there is two bread options but let's ignore that due every option being the same for both bread options.
2. So if you look there are three meat options meaning there is a one in three chance logical chance someone picks turkey (note when I say logical I mean that doesn't mean that this will be true in real life) and there is a one in two logical chance someone picks Swiss cheese.
3. So with a one in three chance logical meat option and a one two chance cheese option and.
4. Now knowing this it is simple math at this point as simple as
x
5. 1 x 1 = 1 and 3 x 2 = 6
6. leading to ![\frac{1}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B6%7D)
The equation of the line is: y=2/-5x + 3 3/5
Answer:
The answer to your question is letter A
Step-by-step explanation:
Data
Factor 6n³ + 8n² + 3 n + 4
- To factor this expression, factor the common terms of the first two factors
6n³ + 8n² = 2n²(3n + 4)
- Factor 1 in the second two terms 1(3n + 4)
- Factor all the expression by like terms 2n²(3n + 4) + 1(3n + 4)
(3n + 4)(2n² + 1)