If the value of y varies directly with x and y=9/5 when x = 1/3, find y when x is 10.

Y = 54

Step-by-step explanation:

y α x

When changing α to =, a constant 'k' is introduced i.e

y = kx

y = 9/5 when x = 1/3

i.e 9/5 = k * (1/3)

k = (9/5) ÷ (1/3)

k = 9/5 * 3/1

k = 27/5

Therefore when x = 10

we substitute our values of k and x into the equation "y = kx"

i.e y = (27/5) * 10

y = 54 when x = 10

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).