X =54/3=18 ans
it is the answer
Answer:
Solution given:
height[p]=20m
angle of depression [a]=25°
base[b]=?
we have
Tan a=p/b
tan 25=20/b
b=20/tan25
b=42.89 or 43
<u>the tower </u><u>is</u><u> </u><u>4</u><u>3</u><u>m</u><u> </u><u>far</u><u> </u><u>from</u><u> the </u><u>vehicle</u><u> </u><u>.</u>
The rate at which his pulse is increasing after 3 minutes is 9.5 beats per minute
<h3>How to determine the beat rate after 3 minutes?</h3>
The given graph shows the curve and the tangent.
From tangent line, we have the following points:
(x,y) = (3,119) and (1,100)
The beat rate (m) at this point is:
So, we have:
Evaluate the differences
Evaluate the quotient
m = 9.5
Hence, the rate at which Sam's pulse is increasing after 3 minutes is 9.5 beats per minute
Read more about rates of tangent lines at:
brainly.com/question/6617153
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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.
