C=2πr and the circumference is measured at 360°
So if we were to set up a proportion we could say:
s/(2πr)=α/360
α=180s/(πr)
We are given that s=4m and r=13m so:
α=180(4)/(13π)
α=720/(13π) m which is approximately:
α≈17.63°
Which is why radians are often used, because in radians...
α=[720/(13π)](π/180)
α=4/13 rads
Or the arc length in radians is simply expressed as:
s=rα
α=s/r (which is much neater :P) then it is plain to see that:
α=4/13 rads
Simple,
1.) A vertical angle, is an angle directly across another angle. Thus, <2 and <5 are vertical angles.
2.)This is another pair of vertical angles, thus, m<4 is 53.
3.)Since m<1 is 50
You have the m<4 which is 50. You already have m<3 which is the right angle, 90.
Thus, 90+50=140
You know a line is supposed to be 180 degrees. So take,
180-140=40
Thus, the m<5 is 40.
Each bottle serves 2 students. He needs to buy 14/2 = 7 bottles.
The answer that I got was 27, hope it helps
Answer:
<h2>
y = -4/9</h2>
Step-by-step explanation:
Given the system of equations y = 3/2 x − 6, y = −9/2 x + 21, since both expressions are functions of y, we will equate both of them to find the variable x;
3/2 x − 6 = −9/2 x + 21,
Cross multiplying;
3(2x+21) = -9(2x-6)
6x+63 = -18x+54
collecting the like terms;
6x+18x = 54-63
24x = -9
x = -9/24
x = -3/8
To get the value of y, we will substitute x = -3/8 into any of the given equation. Using the first equation;
y = 3/2x-6
y = 3/{2(-3/8)-6}
y = 3/{(-3/4-6)}
y = 3/{(-3-24)/4}
y = 3/(-27/4)
y = 3 * -4/27
y = -4/9
Hence, the value of y is -4/9
