Check the picture below.
since chords NQ and MP cross the center of the circle at R, that means that those two chords are diametrical chords and the angles made by both are vertical angles and thus twin angles, namely both are 18° as you see in the picture, so the angle NMP in magenta is really 162° + 18° + 18° = 198°, and we know the radius NR is 8.
![\textit{arc's length}\\\\ s=\cfrac{r\pi \theta }{180}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=8\\ \theta =198 \end{cases}\implies s=\cfrac{(8)\pi (198)}{180}\implies s\approx 27.6](https://tex.z-dn.net/?f=%5Ctextit%7Barc%27s%20length%7D%5C%5C%5C%5C%20s%3D%5Ccfrac%7Br%5Cpi%20%5Ctheta%20%7D%7B180%7D~~%20%5Cbegin%7Bcases%7D%20r%3Dradius%5C%5C%20%5Ctheta%20%3D%5Cstackrel%7Bdegrees%7D%7Bangle%7D%5C%5C%5B-0.5em%5D%20%5Chrulefill%5C%5C%20r%3D8%5C%5C%20%5Ctheta%20%3D198%20%5Cend%7Bcases%7D%5Cimplies%20s%3D%5Ccfrac%7B%288%29%5Cpi%20%28198%29%7D%7B180%7D%5Cimplies%20s%5Capprox%2027.6)
Answer:
fgh(x)=4
-14
Step-by-step explanation:
when solving composite fuctions we go from the right to the left
meaning we replace the x in the g function with the entire h function
then replace the x in the f function with the entire new g function
h(x)=
g(
)=
-5
f(
-5)=4(
-5)+6
f(
-5)=4
-20+6
fgh(x)=4
-14
Answer:
0.8
Step-by-step explanation:
= 1 - 0.2
= 0.8
that's the answer above
Ok the first box is 85 because that's the y - intercept or the constant in the equation because he starts with 85 wheels. The next box is 4 because that's the rate of change per a car. He's going to buy more wheels after there's 40 wheels so it's asking how many cars can you make with still 40 wheels left. The answer is 11 cars.
Answer:
D
Step-by-step explanation:
Sector of Area=(theta/360)*pi*r^2
Sector of area=(135/360)*pi*19^2=(1083)/8 pi