The ratio of the total surface areas of two similar prisms is 49 : 64. What is the ratio of their sides?

Step-by-step explanation:

Area is a squared measure whereas perimeter is a one-to-one measure.  Perimeter measure is also the same thing as "the ratio of the sides".  So get from the ratio of the sides to the ratio of the area, you square the one-to-one, since area is a squared measure.  You do the same to go backwards from area to one-to-one (take the square root).  

Since we are given the ratio of the areas, those numbers are the one-to-one measures squared.  Take the square root of each to find the one-to-one:

7:8 is the ratio of the sides.

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).

answer:   y=2x-3

step-by-step explanation: