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.
The answer is B
sin=Opposite/Hypotenuse
sin=28/100
Divide numerator and denominator by 4
sin=7/25
Cosine=adjacent/hypotenuse
cos=96/100
Divide numerator and denominator by 4
cos=24/25
Tangent=opposite/adjacent
tan=28/96
Divide numerator and denominator by 4
tan=7/24
Answer:
clockwise from left, the missing side lengths are 8 m, 13 m, 8 m
Step-by-step explanation:
The perimeter of the figure is the sum of the lengths of its sides. Sides with the same hash mark have the same length, so the perimeter (in meters) is ...
38 = (3x+1) +(2x) +(9) +(2x)
38 = 7x +10
28 = 7x . . . . . . subtract 10
4 = x . . . . . . . . divide by 7
Then the short sides are ...
2x = 2·4 = 8 . . . meters
and the long side is ...
3x+1 = 3·4 +1 = 13 . . . meters
Perpendicular has slope that multiplies to -1 in other sloope
thsi one
2x-5y=-35
-5y=-2x-35
y=2/5x+7
slope=2/5
2/5 times -5/2=-1
y=-5/2x+b
findn b
(10,4)
(x,y)
4=-5/2(10)+b
4=-25+b
21=b
y=-5/2x+21
2y=-5x+42
5x+2y=42
207054 minus 206343 is 711
