A ramp is used to move equipment off a loading dock and onto the ground. The loading dock floor is 6 feet above the ground. The ramp measures 30 feet long.

What is the horizontal distance covered by the ramp?

Enter your answer, rounded to the nearest tenth of a foot, in the box.

ft

29.4feet

Step-by-step explanation:

To get the horizontal distance covered by the ramp, we will use the pythagoras theorem

Let r be the length of the ramp (hypotenuse)

Let d be the height of the loading door (opposite)

Let the horizontal distance be h

Hence;

r^2 = d^2 + h^2

30^2 = 6^2 + h^2

h^2 = 30^2 - 6^2

h^2 = 900 - 36

h^2 = 864

h = √864

h = 29.39 feet

Hence the horizontal distance covered by the ramp to the nearest tenth of a foot is 29.4feet

walter needs to make at least 5 more cookies but no more than 40. 5 ≥ x ≥ 40;

step-by-step explanation:

walter has to make a minimum of 20 cookies. he already has 15 cookies made, so he must make 5 more to meet the minimum.

the maximum amount of cookies he can make is 55. he already has 15, so he has to make no more than 40 more cookies to meet the maximum.

option c) graph of line going through 1, 4 and 3, 10

step-by-step explanation:

let y equal to margo's coin collection

let x equal to number of years

at the begining x=0, y=1 → point=(x,y)→point=(0,1)

she adds 3 coins per year, then y=1+3x

at x=1, y=1+3(1)=1+3→y=4→point=(x,y)→point=(1,4)

at x=3, y=1+3(3)=1+9→y=10→point=(x,y)→point=(3,10)

the graph of line going through (1, 4) and (3, 10), then the option c is the correct.