An inlet pipe can fill an empty swimming pool in 7 hours, and another inlet pipe can fill the pool in 2 hours. How long will it take both pipes to fill the pool?

1.56 hours

Step-by-step explanation:

Given,

Rate of first inlet

= 1 pool per 7 hours

= (1/7) pool per hour

Rate of 2nd inlet

= 1 pool in 2 hours

= (1/2) pool per hour

Combined rate = Rate of 1st inlet + Rate of 2nd inlet

= 1/7 + 1/2

= 2/14 + 7/14

= 9/14 pool per hour

taking the inverse of the combined rate gives the time it takes to fill the pool in hours. Hence,

Time for Both pipes to fill the pool = 1 / (9/14) = 14/9 = 1.56 hours

english, cause i can’t you

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).