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:
Bonnie's age is 18
Step-by-step explanation:
Let
x ----> Bonnie's age
y ---> Clyde's age
we know that
----> equation A
![x-10=2(y-10)](https://tex.z-dn.net/?f=x-10%3D2%28y-10%29)
![x-10=2y-20](https://tex.z-dn.net/?f=x-10%3D2y-20)
![x=2y-20+10](https://tex.z-dn.net/?f=x%3D2y-20%2B10)
----> equation B
substitute equation A in equation B
Solve for y
<em>Find the value of x</em>
![x=14+4=18](https://tex.z-dn.net/?f=x%3D14%2B4%3D18)
therefore
Bonnie's age is 18
Clyde's age is 14
With 5lbs of sugar syrup to get a 25% syrup you would need to add 15lbs of water
Answer:
Correct choice is A
Step-by-step explanation:
For the numbers 13 and 88, find the difference 88-13:
since 88-13=75 and
(two arithmetic means tells you there will be three intervals), two arithmetic means will be
The only correct sequence is 13, 38, 63, 88.
Answer:
285!
Step-by-step explanation:
First you have to find out how may parts are produced in a single minute.
We know that 114 parts are produced in 6 minutes so to find how may parts are made in one minute divide 114 by 6 and get an answer of 19
114÷6=19
Now to find how may parts are produced in 15 minutes multiply 19 (number of parts produdced in one minute) by 15 and get an answer of 285!
19×15=285
Hope this helped! :)