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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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Step-by-step explanation:

You need to use this formula to calculate the volume of the square pyramid:

V=\frac{s^2h}{3}

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Find the height with the Pythagorean Theorem:

a^2=b^2+c^2

Where "a" is the hypotenuse and "b" and "c" are the legs of the right triangle. Let be "c" the height of the pyramid.

You can identify in the figure that:

a=26mm\\\\b=\frac{23mm}{2}=11.5mm\\\\c=h

Then, you can find the height:

(26mm)^2=(11.5mm)^2+h^2\\\\h=\sqrt{(26mm)^2-(11.5mm)^2}\\\\h=23.318mm

Then, knowing that:

s=23mm\\h=23.318mm

You can calculate the volume:

 V=\frac{(23mm)^2(23.318mm)}{3}=4,111.7mm^3

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