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UkoKoshka [18]
3 years ago
9

Sally Can Type 1 1/2 Pages Of Paper In 2/3 Hour,.Mike Types 1/2 Page In 1/6 Hour.What Each Students Rate Per Hour? Who Types Mos

t Pages Per Hour?
Mathematics
1 answer:
Thepotemich [5.8K]3 years ago
3 0
Sally: 
First you would divided 1.5 with two-thirds
<u>1.5 pages</u>=2.249(9's are repeating<u>
</u>2/3 

Mike:             <u>    </u>
<u>1/2 pages</u>=2.994 (9's are also repeating not 4) 
1/6 

Basically, Mike is typing the most pages per hour.

<em>I hope this help you understand :D</em>

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a loss of 72.47

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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
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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} }

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Read more about related rates at:

brainly.com/question/16981791

8 0
3 years ago
1) Alice is a truck driver who drives the same route every day for 5 days. On the
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Answer:

Alice drives 168.26 miles daily and 841.3 miles per 5 days on her regular route when there is no detour.

Step-by-step explanation:

First, we need to <em>divide</em> 927.8 miles by 5.

927.8 ÷ 5 = 185.56 is her daily mileage, including the detour.

Since her detour <em>added </em>17.3 miles to her <em>daily mileage</em>, we need to <em>subtract </em>this from her current daily mileage.

185.56 - 17.3 = 168.26 is her daily mileage when there is no detour.

Now, in order to find her mileage for 5 days, we need to <em>multiply</em> this number by 5.

168.26 x 5 = 841.3

Therefore, Alice drives 168.26 miles daily and 841.3 miles per 5 days on her regular route when there is no detour.

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What is the value of x
Mrrafil [7]
From the looks of it, I believe it is either 120, 125, or 126. If you have options, let me know so I can take a closer look.
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