Polly took ½ of an hour to get to the market while David took 2 hours. How much longer did David take to get there?​

4 times  longer

Step-by-step explanation:

1/2 of a hour is 30 minutes

2 hours is 120 minutes

120 ÷ 30  = 4

4 times longer

The answer is 4 hours.

Step-by-step explanation:

Think of it like this:

1/2 = 0.5 in decimal form.

2 ÷ 0.5 = 4

I hope this helps. Have a GREAT day!

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).