Agroup of college students are volunteering for the homeless during their spring break. they are putting the finishing touches on a house they built. working alone, irina can paint a certain room in 8 hours. paulo can paint the same room in 7 hours. write an equation that can be used to find how long it will take them working together to paint the room. how many hours will it take them to paint the room? if necessary, round your answer to the nearest hundredth

Time taken by both is 3 hours and 44 minutes.

Step-by-step explanation:

Working alone, Irina can paint a certain room in = 8 hours

Working alone, Paulo can paint the same room in = 7 hours

Let the time required when they work together  be = t

Let the completed job be = 1

Both will do a fraction of the job and the two fractions add up to 1.

Now solving this we get

t= 3.73 hours

This becomes 3 hours and 0.73(60)=43.8 ≈ 44 minutes.

Therefore, time taken by both Irina and Paulo is 3 hours and 44 minutes.

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).