Christopher's backyard is in the shape of a trapezoid. The bases of the backyard are 30 and 50 feet long. The area of the backyard is 960 square feet. Write and solve an equation to find the height of Christopher's backyard. =12(1+2)ℎ

24 feet

Step-by-step explanation:

The formula for the height of a trapezoid =

h = 2A/ a + b

A = 960 square feet

a = 30 feet

b = 50 feet

h = 2 × 960/30 + 50

h = 1920/80

h = 24 feet

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).

look at the picture.

y-intercept for the function on a picture is 4 → point (0, 4).

y-intercept for the function

is for x = 0. substitute:

y-intercept is 8 → point (0, 8).