the ratio of picnic tables to garbage cans in a new national park should be 5:2. the park design shows plans for 30 picnic tables in a small campground and 110 picnic tables in a large camp ground how many garbage cans should there be in each campground

Small campground = 12 garbage cans

Large campground = 44 garbage cans

Step-by-step explanation:

Picnic tables : garbage cans

= 5 : 2

Small campground = Picnic tables : garbage cans

= 30 : x

5 : 2 = 30 : x

5/2 = 30/x

Cross product

5 * x = 2 * 30

5x = 60

x = 60/5

= 12

5 : 2 = 30 : 12

large camp ground = Picnic tables : garbage cans

5 : 2 = 110 : x

5/2 = 110/x

Cross product

5 * x = 2 * 110

5x = 220

x = 220/5

= 44

5 : 2 = 110 : 44

Therefore, there are 12 garage cans in the small campground and 44 garbage cans in the large campground

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).