Mary drove 380 miles using 14 gallons of gas. at this rate, how many gallons of gas would she need to drive
418 miles?

She will need 15.4 gallons to drive 418 miles

Step-by-step explanation:

Step 1

Consider the expression below;

T=G×N

where;

T-total miles traveled

G-number of miles per gallon

N=quantity of gas consumed

This can also be expressed as;

Total miles=number of miles per gallon×number of gallons

In our case;

T=380 miles

G=unknown

N=14 gallons

replacing;

380=G×14

14 G=380

G=380/14

G=27.14 miles per gallon

Step 2

Using the same expression;

T=G×N

where;

T=418 miles

G=27.14 miles per gallon

N=unknown

replacing;

418=27.14×N

27.14 N=418

N=418/27.14

N=15.4 gallons

She will need 15.4 gallons to drive 418 miles

here you hope this .

step-by-step explanation:

hypotenuse = √(15² + 8²)

=  √(225 +64)

=  √(289) = 17

sin(x) = cos(y) = 8/17

they are identical so long as you are doing the sine of one angle and the cosine of the only other angle that isn't the right angle.