If your car can drive 433 miles on a full tank of gas, find the miles per gallon if your gas tank holds 17.2 gallons? How much does it cost to fill your tank if gas is $2.85 per gallon?

-25.17 miles per gallon.

-It costs $49.02 to fill your tank.

Step-by-step explanation:

-To find the miles per gallon, you can use a rule of three:

17.2 gallons →  433 miles

    1 gallon   →        x

x=(1*433)/17.2= 25.17

If your gas tank holds 17.2 gallons, you car can drive 25.17 miles per gallon.

-To find the cost to fill your tank, you have to multiply the price per gallon for the amount of gallons that the tank can hold:

$2.85*17.2=$49.02

It costs $49.02 to fill your tank.

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).