Answer:
sin(θ) = ![\frac{3\sqrt{13} }{11}](https://tex.z-dn.net/?f=%5Cfrac%7B3%5Csqrt%7B13%7D%20%7D%7B11%7D)
Step-by-step explanation:
See the attachment.
We know that cosine is adjacent divided by hypotenuse. So since cos(θ) = -2/11, then the adjacent is -2 and the hypotenuse is 11.
Sine is opposite divided by hypotenuse. Find the opposite, which is the unlabelled side, by using the Pythagorean Theorem:
x = ![\sqrt{11^2-(-2)^2} =\sqrt{121-4} =\sqrt{117} =3\sqrt{13}](https://tex.z-dn.net/?f=%5Csqrt%7B11%5E2-%28-2%29%5E2%7D%20%3D%5Csqrt%7B121-4%7D%20%3D%5Csqrt%7B117%7D%20%3D3%5Csqrt%7B13%7D)
So, sin(θ) = ![\frac{3\sqrt{13} }{11}](https://tex.z-dn.net/?f=%5Cfrac%7B3%5Csqrt%7B13%7D%20%7D%7B11%7D)
Hope this helps!
As ordered pairs ( g , C ) where g is the number of games and C is the cost
( 5, 20.50) and ( 9, 28.50)
the slope M = ( 28.50 - 20.50 ) / (9-5)
= 8/4
= 2
So the slope M=$2 per game
Using (5, 20.50)
The intercept B = y - m* g
= 20.50 - 2 * 5
= 20.50 - 10
= 10.50
So the fixed base cost, or FLAT RATE is $10.50.
That is if they played ZER0 games, they still have
to pay $10.50 just to get in.
The linear function is C (g) = 2*g + 10.50
C
Explain
Second line isn’t going strong
Step-by-step explanation:
To find the rate, divide the number of heartbeats by the number of seconds.
You: 22 beats / 20 seconds = 1.1 beats per second.
Friend: 18 beats / 15 seconds = 1.2 beats per second.