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3 years ago

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What.... I need help...

1 answer:

Keith_Richards [23]3 years ago

4 0

i am unsure of this, but i think it will be D

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You are looking at the New York ball drop on New Year’s Eve at a distance of 100 m away from the base of the structure. If the b

Fofino [41]

The question is an illustration of related rates.

The rate of change between you and the ball is 0.01 rad per second

I added an attachment to illustrate the given parameters.

The representations on the attachment are:

$\mathbf{x = 100\ m}$

$\mathbf{\frac{dy}{dt} = 2\ ms^{-1}}$ ---- the rate

$\mathbf{\theta = \frac{\pi}{4}}$

First, we calculate the vertical distance (y) using tangent ratio

$\mathbf{\tan(\theta) = \frac{y}{x}}$

Substitute 100 for x

$\mathbf{y = 100\tan(\theta) }$

$\mathbf{\tan(\theta) = \frac{y}{100}}$

Differentiate both sides with respect to time (t)

$\mathbf{ \sec^2(\theta) \cdot \frac{d\theta}{dt} = \frac{1}{100} \cdot \frac{dy}{dt}}$

Substitute values for the rates and $\mathbf{\theta }$

$\mathbf{ \sec^2(\pi/4) \cdot \frac{d\theta}{dt} = \frac{1}{100} \cdot 2}$

This gives

$\mathbf{ (\sqrt 2)^2 \cdot \frac{d\theta}{dt} = \frac{1}{100} \cdot 2}$

$\mathbf{ 2 \cdot \frac{d\theta}{dt} = \frac{1}{100} \cdot 2}$

Divide both sides by 2

$\mathbf{ \frac{d\theta}{dt} = \frac{1}{100} }$

$\mathbf{ \frac{d\theta}{dt} = 0.01 }$

Hence, the rate of change between you and the ball is 0.01 rad per second

Read more about related rates at:

brainly.com/question/16981791

8 0

3 years ago

Which phrase does not have the same meaning as 3/w

Effectus [21]

The answer is A. There is no multiplication sign in the problem. It’s all division.

7 0

3 years ago

Which of the following graphs would represent the solution set for y > 4/5 x – 1?

Keith_Richards [23]

It's this graph. You didn't give me any options in the question.

6 0

3 years ago

What is 321.5 Kilometers per hour converted to MPH

inessss [21]

$321.5\ kmph\approx\boxed{199.770777\ mph}$

By the way, Google has a built in calculator. You can just type in "321.5 kmph in mph" and it will come up with this answer.

You could also use the fact that $1\ km\approx0.621371\ mi$ ,
According to the properties of equality, if you have two equal expressions and you change them in the same way, the results wil also be equal.
So that means we can multiply each side by 321.5 and get our answer above.

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3 years ago

True or False: The difference of two consecutive square numbers is an odd number.

KATRIN_1 [288]

The answer for this question would be true

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3 years ago

Read 2 more answers