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3 years ago

The water level in a tank can be modeled by the function h(t)=8cos(pi t /7)+11.5, where t is the number of

Mathematics

1 answer:

denis23 [38]3 years ago

4 0

Answer:

NO amount of hour passed between two consecutive times when the water in the tank is at its maximum height

Step-by-step explanation:

Given the water tank level modelled by the function h(t)=8cos(pi t /7)+11.5. At maximum height, the velocity of the water tank is zero

Velocity is the change in distance with respect to time.

V = {d(h(t)}/dt = -8π/7sin(πt/7)

At maximum height, -8π/7sin(πt/7) = 0

-Sin(πt/7) = 0

sin(πt/7) = 0

Taking the arcsin of both sides

arcsin(sin(πt/7)) = arcsin0

πt/7 = 0

t = 0

This shows that NO hour passed between two consecutive times when the water in the tank is at its maximum height

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andreev551 [17]

Answer:

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Step-by-step explanation:

x + 779 = 900

x = 900- 779

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3 years ago

Please help! i think the answer is 12 but any verification would be greatly appreciated!

ANEK [815]

Answer:

13.9 or 14

Step-by-step explanation:

a^2 + b^2 = c^2

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3 years ago

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navik [9.2K]

Answer:

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3 years ago

In your own words, write a verbal expression for the following algebraic expression.<br> 18p

maxonik [38]

Step-by-step explanation:

18p is a multiplication expression in itself.

It could be written as 18 x p. I am confused on what you mean as 'verbal' so i'm gonna take a wild guess and say word form.

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Sorry if it's wrong.

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3 years ago

1. A plane is flying at an altitude of 13000 feet. The angle of depression from the plane to a control tower is 20 degrees. The

Mariulka [41]

Answer:

see explanation

Step-by-step explanation:

There is a right triangle formed between the height above the tower to the plane, the horizontal and the line from the tower to the plane.

The height above the tower to the plane = 13000 - 150 = 12850 ft

The angle between the plane and the tower is 20° , angle of depression.

Using the tangent ratio in the right triangle formed, with the adjacent side being the horizontal ( hor ) distance, then

tan20° = $\frac{opposite}{adjacent}$ = $\frac{12850}{hor}$ ( multiply both sides by hor)

hor × tan20° = 12850 ( divide both sides by tan20° )

hor = $\frac{12850}{tan20}$ ≈ 35305 ft ( to the nearest foot )

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Arianna is 60 + 5 = 65 ft above the ground ( to her eye level )

Using the right triangle formed with legs 65 and 37 and angle of depression x, then

tanx° = $\frac{opposite}{adjacent}$ = $\frac{37}{65}$ , thus

x = $tan^{-1}$ ( $\frac{37}{65}$ ) ≈ 30° ( to the nearest degree )

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3 years ago

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