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3 years ago

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A 72.5-foot rope from the top of a circus tent pole is anchored to the ground 44.4 feet from the bottom of the pole. What angle

does the rope make with the pole? (Assume the pole is perpendicular to the ground.

1 answer:

miv72 [106K]3 years ago

4 0

Let angle = x

sinx = 43.2/72.5

=> x = 36.57 degrees

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should be 3^X = 7 and X = log7/log3

Step-by-step explanation:

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Is -134 greater than or less than 1136

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Step-by-step explanation:

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Before 8 A.M., there were 64 trucks and 24 cars in a parking lot. Between 8 A.M. and 9 A.M., more cars entered the parking lot a

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Answer:

232 cars

Step-by-step explanation:

Let's say the number of cars that entered is c.

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If y = 3x^3 - 2x and dx/dt equals 3, find dy/dt when x = -2. Give only the numerical answer. For example, if dy, dt = 4, type on

Nadya [2.5K]

Answer:

$\frac{dy}{dt} = 102$

Step-by-step explanation:

<u>step(i)</u>

Given function y = 3 x³ - 2 x ... (i)

Differentiating equation (i) with respective to 'x'

$\frac{dy}{dx} = 3 (3 x^{2} ) - 2(1)$

Given x = -2

$(\frac{dy}{dx} ) x_{=-2} = 3 (3 (-2)^{2} ) - 2(1)$

$(\frac{dy}{dx} ) x_{=-2} = 36 -2 =34$

<u><em>Step(ii):-</em></u>

<u><em>we know that </em></u>

$\frac{dy}{dx} = \frac{\frac{dy}{dt} }{\frac{dx}{dt} }$

Given $\frac{dx}{dt} = 3 and \frac{dy}{dx} = 34$

$\frac{dy}{dx} = \frac{\frac{dy}{dt} }{\frac{dx}{dt} }$

substitute values $\frac{dx}{dt} = 3 and \frac{dy}{dx} = 34$

⇒ $34 = \frac{\frac{dy}{dt} }{3 }$

cross multiplication , we get

$\frac{dy}{dt} = 34( 3 ) = 102$

<u><em>Final answer</em></u>:-

$\frac{dy}{dt} = 34( 3 ) = 102$

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