Answer: D. (-4, -2)
<u>Step-by-step explanation:</u>
Rotating 180° about the origin means the signs for the x- and y-values are opposite.
(x, y) → (-x, -y)
(4, 2) → (-4, -2)
3.5 since its asking how many he has, he has 3.5 its not askint how many bags he needs or how much a bag holds
Answer:
102 loafs of bread
Step-by-step explanation:
1232 ÷ 12 = 102.6666666666
102 is the answer
Answer:
9.3 hours
Step-by-step explanation:
Given
![y = 2.89\sin(0.0145x-1.40) + 10.99.](https://tex.z-dn.net/?f=y%20%3D%202.89%5Csin%280.0145x-1.40%29%20%2B%2010.99.)
Required
Hours of sunlight on Feb 21, 2013
First, calculate the number of days from Jan 1, 2013 to Feb 21, 2013
![days = 52](https://tex.z-dn.net/?f=days%20%3D%2052)
So:
![x = 52](https://tex.z-dn.net/?f=x%20%3D%2052)
So, we have:
![y = 2.89\sin(0.0145x-1.40) + 10.99.](https://tex.z-dn.net/?f=y%20%3D%202.89%5Csin%280.0145x-1.40%29%20%2B%2010.99.)
![y = 2.89\sin(0.0145*52-1.40) + 10.99.](https://tex.z-dn.net/?f=y%20%3D%202.89%5Csin%280.0145%2A52-1.40%29%20%2B%2010.99.)
![y = 2.89\sin(0.754-1.40) + 10.99.](https://tex.z-dn.net/?f=y%20%3D%202.89%5Csin%280.754-1.40%29%20%2B%2010.99.)
![y = 2.89\sin(-0.646) + 10.99.](https://tex.z-dn.net/?f=y%20%3D%202.89%5Csin%28-0.646%29%20%2B%2010.99.)
![y = 2.89*-0.6020 + 10.99.](https://tex.z-dn.net/?f=y%20%3D%202.89%2A-0.6020%20%2B%2010.99.)
![y = -1.740 + 10.99.](https://tex.z-dn.net/?f=y%20%3D%20-1.740%20%2B%2010.99.)
![y = 9.25](https://tex.z-dn.net/?f=y%20%3D%209.25)
<em></em>
<em> --- approximated</em>
11,850 x .9 = 11,605
11605 x . 9 = 9,598.5 year 2
9,598.5 x .9 = 8,638.65
8,635 x .9 = 7,774.785 year 4
7,774.785 x .9 = 6,997.31
6,6997.31 x .9 = 6297.58 year 6
6297.58 x .9 = 5,667.82
5,667.82 x .9 = 5,101.04 year 8
The answer is D