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3 years ago

(a) The perimeter of a rectangular field is 372 m.

Mathematics

2 answers:

Oksanka [162]3 years ago

7 0

Answer:

The length of the field is 99 m.

Step-by-step explanation:

First, multiply 87 by 2 to get 174. Then, subtract 174 (total of the two width sides) from 372 (total perimiter) to get 198. Lastly, divide 198 by 2, because 198 is the total of the 2 length sides, and you will get 99 m per length side.

kirza4 [7]3 years ago

4 0

Answer:

98 m

Step-by-step explanation:

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2 years ago

If you were asked to convert 75 m/s to km/hr, which conversation factors would you need to use. Select all that apply.

Vilka [71]

Answer:

You need to use A, B, and C.

Step-by-step explanation:

Let's treat the units as variables. I'll illustrate why in a moment.

$75 m/s =\frac{75m}{1s} \\\\\frac{75m}{1s}*\frac{1km}{1000m}=\frac{75m*km}{1000m*s}\\\\\frac{75m*km}{1000m*s}*\frac{60s}{1min}=\frac{(75*60)m*km*s}{1000m*s*min}\\\\\frac{4500m*km*s}{1000m*s*min}*\frac{60min}{1h}=\frac{4500m*km*s*min}{1000m*s*min*h}$

Now, as you can see, we have a giant mess of units to deal with. This is where we can treat the units like separate variables and use a bit of algebra to make our lives easier:

$\frac{4500m*km*s*min}{1000m*s*min*h}=\frac{4500}{1000}*\frac{m*km*s*min}{m*s*min*h}\\\\\frac{4500}{1000}*\frac{m*km*s*min}{m*s*min*h}=\frac{4500}{1000}*\frac{m}{m}*\frac{km}{1}*\frac{s}{s}*\frac{min}{min}*\frac{1}{h}\\\\\frac{4500}{1000}*\frac{m}{m}*\frac{km}{1}*\frac{s}{s}*\frac{min}{min}*\frac{1}{h}=\frac{4500}{1000}*\frac{m*km*s*min}{m*s*min*h}=\frac{4500}{1000}*1*\frac{km}{1}*1*1*\frac{1}{h}\\\\\frac{4500}{1000}*1*\frac{km}{1}*1*1*\frac{1}{h}=\frac{4500}{1000}*\frac{km}{h}\\$

$\frac{4500}{1000}*\frac{km}{h}=\frac{45}{1}*\frac{km}{h}=45 \frac{km}{h}$

So, backtracking through that entire mess, we had to use $\frac{1km}{1000m} ,\frac{60s}{1min} ,\frac{60min}{1h}$ .

These correspond to the options of A, C, and B accordingly.

So you need to use A, B, and C.

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3 years ago