HELP HELP PLEASE!!!!!

Mathematics

1 answer:

klio [65]2 years ago

3 0

This problem requires the pathagoriun theorum. The formula is a² + b² = c², which basically means that If you square the two sides that are already labeled, then add them, you will get the length of the side that is unknown.
In this equation, we are given the length of the shortest side, which is 21m. I believe that the length of the side CA is twice the length of the side BC, which would be 42m.
Now you find the square of both, and add them. 21² + 42² (or 441 + 1764) is 2205.
Since the square of 2205 is a decimal, (it is 46.9574275275) you will round it to the nearest whole number, which is 47.

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A certain car can travel on a highway for 350 miles on 15 gallons of gas and in a city for 280 miles on 18 gallons of gas. If th

user100 [1]

Answer:

The car's average 18 number of miles per gallon

Step-by-step explanation:

The car has different efficiencies depending if its used on highway or city streets.

The efficiency on a highway is:

$E_h=\dfrac{350}{15}\;\text{miles/gal}=23.33\;\text{miles/gal}$

The efficiency for city driving is:

$E_c=\dfrac{280}{18}\;\text{miles/gal}=15.56\;\text{miles/gal}$

We now that the car uses twice as many gallons for city driving as for highway driving. This means that, for every gallon consumed, 2/3 are for city driving and 1/3 are for highway driving.

Then, we can calculate how many miles makes the car on average as:

$E=\dfrac{1}{3}E_h+\dfrac{2}{3}E_c\\\\\\E=\dfrac{1}{3}\cdot 23.33+\dfrac{2}{3}\cdot15.56=7.78+10.37=18.15\;\text{miles/gal}$