Hey there! :D

Think of this like a triangle. The dock is 15 feet above ground. It is the side of the triangle. The line connecting the bottom of the dock to the base of the conveyor belt is 40 feet. This is like the base.

The conveyor belt itself is at a diagonal, and should be the hypotenuse.

Use the Pythagorean theorem.

a^2+b^2=c^2

15^2+40^2= c^2

225+1,600= c^2

Add the values together.

1,825= c^2

Find the square root of 1,825.

c= 42.7 (rounded to the nearest tenth)

The conveyor belt is 42.7 feet long.

I hope this helps!
~kaikers

7 0

3 years ago

THIS IS THE FOURTH TIME I'VE ASKED PLEASE ANSWER<br> √(10 + 4 √(6))<br> not decimal form

nalin [4]

Answer:

$\huge\boxed{\sqrt{10+4\sqrt6}=\sqrt6+2}$

Step-by-step explanation:

$\sqrt{10+4\sqrt6}=\sqrt{6+4+(2)(2)(\sqrt6)}=\sqrt{\underbrace{(\sqrt6)^2}_{=6}+(2)(2)(\sqrt6)+\underbrace{2^2}_{=4}}\\\\\text{use}\ (a+b)^2=a^2+2ab+b^2\\\\=\sqrt{(\sqrt6+2)^2}\\\\\text{use}\ \sqrt{a^2}=|a|\\\\=|\sqrt6+2|=\sqrt6+2$

5 0

3 years ago

Please explain how to do it so I can learn it

blsea [12.9K]

It is D because it means supplementary angles which equal up to 180

8 0

3 years ago