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Viefleur [7K]
3 years ago
15

Find two consecutive whole numbers such that the sum of their squares is 421

Mathematics
1 answer:
ruslelena [56]3 years ago
3 0
The equation you would need to solve is <span><span>x^2</span>+(x+1<span>)^2</span>=421. I'm not at a college level though so i don't know how to.

Give me feedback if this helped!</span>
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The function f(t) = −5t 2 + 20t + 60 models the approximate height of an object
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F(t) = -5t^2 + 20t + 60
-5(t^2 - 4t - 12)
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t = -2 or t = 6

6 seconds
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What would the graph of the solution to the following inequality look like?
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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
2 years ago
Simplify this question:
stiks02 [169]

Answer: 7n - 13

Step-by-step explanation:

Apply the distributive property.

4n + 3n + 3 ⋅ -5 + 2

Multiply 3 by -5

4n + 3n - 15 + 2

Add 4n and 3n

7n - 15 + 2

Add - 15 and 2

7n - 13

hope this helps :)

4 0
2 years ago
Read 2 more answers
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