Answer:
a= 68% times 250, there are 170 students not in Advanced
Step-by-step explanation:
If 32% are in Adv math, 68% aren't, to solve a percentage, I did
.68 times 250
Answer:
The solutions are 0° and 3π
Step-by-step explanation:
On solving the equation given;
![sin(\frac{3\pi}{2}+x )+ sin(\frac{3\pi}{2}+x ) = -2\\2sin(\frac{3\pi}{2}+x ) = -2\\sin(\frac{3\pi}{2}+x ) = -1\\\frac{3\pi}{2}+x = sin^{-1}-1\\ \frac{3\pi}{2}+x = -\frac{\pi}{2} \\x = -\frac{\pi}{2} -\frac{3\pi}{2} \\x = \frac{-4\pi}{2} \\x = -2\pi\\](https://tex.z-dn.net/?f=sin%28%5Cfrac%7B3%5Cpi%7D%7B2%7D%2Bx%20%29%2B%20sin%28%5Cfrac%7B3%5Cpi%7D%7B2%7D%2Bx%20%29%20%3D%20-2%5C%5C2sin%28%5Cfrac%7B3%5Cpi%7D%7B2%7D%2Bx%20%29%20%3D%20-2%5C%5Csin%28%5Cfrac%7B3%5Cpi%7D%7B2%7D%2Bx%20%29%20%3D%20-1%5C%5C%5Cfrac%7B3%5Cpi%7D%7B2%7D%2Bx%20%20%3D%20sin%5E%7B-1%7D-1%5C%5C%20%5Cfrac%7B3%5Cpi%7D%7B2%7D%2Bx%20%3D%20-%5Cfrac%7B%5Cpi%7D%7B2%7D%20%5C%5Cx%20%3D%20-%5Cfrac%7B%5Cpi%7D%7B2%7D%20-%5Cfrac%7B3%5Cpi%7D%7B2%7D%20%5C%5Cx%20%3D%20%20%5Cfrac%7B-4%5Cpi%7D%7B2%7D%20%5C%5Cx%20%3D%20-2%5Cpi%5C%5C)
<u>Since sin is negative in the 3rd and 4th quadrant, </u>
In the 3rd quadrant;
x =180°+2π
x = π + 2π
x = 3π
In the 4th quadrant;
x = 360°-2π
x = 2π-2π
x = 0°
Answer:
You can use multiplication to check your division answer this way.
Do the division problem.
Multiply the quotient times the divisor.
If there is a remainder, add it to the multiplication product.
Compare this answer to the dividend. They should be the same number (630 = 630).
Step-by-step explanation:
You can use multiplication to check your division answer this way.
Do the division problem.
Multiply the quotient times the divisor.
If there is a remainder, add it to the multiplication product.
Compare this answer to the dividend. They should be the same number (630 = 630).
Answer:
![\frac{63}{3} = 21](https://tex.z-dn.net/?f=%5Cfrac%7B63%7D%7B3%7D%20%3D%2021)
So in every 1min he eat 21 hotdogs
in 3min he can eat 63 hotdogs
in 4min he can eat 84
because 21 + 21 + 21 + 21 = 84