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ratelena [41]
2 years ago
6

Aiden is planning to drive from City X to City Y. The scale drawing below shows the distance between the two cities with a scale

of ¼ inch = 18 miles.
The scale map says the distance from city X to City Y is 3 1/2 inch

If Aiden drives at an average speed of 30 miles per hour during the entire trip, how much time, in hours and minutes, will it take him to drive from City X to City Y?
Mathematics
1 answer:
Murrr4er [49]2 years ago
3 0
Answer: 8 hours and 24 minutes

Explanation:
if 1/4=18 then 1=72.
72x3 1/2= 252
252/30=8.4 hours or 8 hours and 24 minutes.
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Answer:

A(\theta)=\frac{162 \theta}{(\theta+2)^2}

Step-by-step explanation:

The picture of the question in the attached figure

step 1

Let

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s=r \theta

2r+r \theta=18

solve for r

r=\frac{18}{2+\theta}

step 2

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substitute the value of r

s=\frac{18}{2+\theta}\theta

step 3

we know that

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The complete circle subtends a central angle of 2π radians

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Let

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\frac{\pi r^{2} }{2\pi}=\frac{A}{\theta} \\\\A=\frac{r^2\theta}{2}

substitute the value of r

A=\frac{(\frac{18}{2+\theta})^2\theta}{2}

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Convert to function notation

A(\theta)=\frac{162 \theta}{(\theta+2)^2}

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