At this rate, how many dresses does lucy sew in one hour?

Lucy sews of a dress in one hour.

Step-by-step explanation:

The complete question is:

"Lucy is a dress maker. She sew of a dress in hour. At this rate, how many dresses does Lucy sew in one hour?"

Let "x" represents the number of dresses that Lucy sews in one hour.

You need to analize the information given in the exercise.

According to the exercise, you know that, in hour, Lucy sews of a dress.

Then, knowing this data, you can set up the following proportion:

Therefore, you must solve for "x" in order to find the he number of dresses that Lucy sew in one hour.

You get this result:

Then, Lucy sews of a dress in one hour.

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).