You have to make a cos graph that starts its minimum and of -2, has an amplitude of 10, a period of 10 and a maximum of 18.
I decided to use a cos graph since cos graphs start at their minimum or maximum unlike a sine graph that starts halfway between the minimum and maximum. You also know the amplitude has to be 10 since 18+2=20 and 20/2=10. We were also told that the water wheel completels a rotation every 10 minutes which means the period is 10 minutes.
lets start of with a regular cos(x) graph. This starts on its maximum instead of minimum so we have to multiply it by -1 to get -cos(x) which does start on its minimum.
-cos(x) has an amplitude of 1 instead of 10, to fix that we multiply it by 10 to get -10cos(x) which has an amplitude of 10.
-10cos(x) has a period of 2π instead of 10, to fix this we multiply the x by 2π/10 to get -10cos((π/5)x) which now has a period of 10.
-10cos((π/5)x) has a minimum of -10 and maximum of 10 instead of a minimum of -2 and maximum of 18, to fix this we add 8 to -10cos((π/5)x) to get -10cos((π/5)x)+8 which does have a minimum of -2 and maximum of 18.
Therefore the answer is y=-10cos((π/5)x)+8. x being time in minutes and and y being the height in feet.
I hope this helps. Let me know if anything is unclear.
D, he is moving at a constant spees
250cm^2 is the answer... I think...
Answer:
5) D
6) C
7) B
8) D
9) 109°
10) 83°
Step-by-step explanation:
5) In y=mx+b the slope is m. In perpendicular it'll be opposite, so the answer is D.
6) With the above knowledge about slope, the slope will be the same so it'll be C.
7) They are in the same position by different lines and will be corresponding aka B
8) These are adjacent angles because they are next to each other aka D
9) 180 - 71 = 109
10) They are correspodning so 83°
(slightly rushing so I hope this helped, have a nice day!)
So,
Lets say you have a improper fraction that you want to put into a mixed number.
45
----
7
To put this into a mixed number, you divide the numerator by the denominator and put the remainder back into the numerator
45/7=6 R3
6 3/7 is the mixed number of 45/7.
Hope I helped!
