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2 years ago

7

A person plans to drive across country 1,798 miles. At what speed would they have to drive in order to drive no more than 30 hou

rs?

2 answers:

pychu [463]2 years ago

6 0

Answer:

59.9 mph or rounded to the nearest tenth (60 mph)

Step-by-step explanation:

Speed=Distance÷time

Distance-1798

Time-30

Speed-?

1798÷30=59.9mph or 60mph

sukhopar [10]2 years ago

3 0

59.9 miles, You can do this by dividing 1,798 by 30 which will give you 59.9

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Pam has 90 m of fencing to enclose an area in a petting zoo with two dividers to separate three types of young animals. The thre

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Answer:

The area function is

$A=\frac{135}{2}x-\frac{9}{2}x^2$ .

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Step-by-step explanation:

The given length of fencing is $90 m$ .

Let the length and width of each pen be $x$ and $y$ respectively as shown in the figure.

As there are 3 pens, so, the total area,

$A= 3 xy \;\cdots (i)$

From the figure the total length of fencing is $6x+4y$ .

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From the given value:

$6x+4y=90\;\cdots (ii)$

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$A=3x\left(\frac {45}{2}-\frac{3x}{2}\right)$

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This is the required area function in the terms of variable $x$ .

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$\frac {dA}{dx}=0$

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As, $\frac {d^2A}{dx^2}$ , so, point $x=\frac{15}{2}$ is corresponding to maxima.

Put this value back to equation (iii) to get the maximum value of area function. We have

$A=\frac{135}{2}\times \frac {15}{2}-\frac{9}{2}\times \left(\frac {15}{2}\right)^2$

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