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.
Answer:
1). 9 red 6 fancy 2). 50 shirts 20 pants 3). 62 purple 31 red 4). 19 dimes 9 quarters
Step-by-step explanation:
Most are systems of equations. So, they will have more than one equation.
1). x (Red wrapping paper) y (fancy print paper)
x + y = 15
2x + 4y = 42
Solved: x = 9 y = 6
2). x (shirts) y (pants)
x + y = 70
12x + 30y = 1200
Solved: x = 50 y = 20
3). x (purple) y (red)
I ended up dividing 93 by 3 and then multiplying it by 2 for purple and keeping the other third for red. Not quite sure how to fit this into an equation, its just simple math.
Solved: x = 62 y = 31
4). x (dimes) y (quarters)
.10x + .25y = 4.15
x = y - 10
Solved: x = 19 y = 9
Answer:
The 5.52cm
Step-by-step explanation:
The bottom was 4.8cm and something was actually from the floor. And You need Brainly Premium to get access to have one Hope this helps.
Answer:8 lunches
Step-by-step explanation: If you divide 2.50 from 20 you get 8. So it'll be 8 lunches.
