4/12 in simplest form is 1/3
4/12 ÷ 4/4 = 1/3
Answer:
x= 3 +
, 3 -![\sqrt{23}](https://tex.z-dn.net/?f=%5Csqrt%7B23%7D)
Step-by-step explanation:
You use the quadratic formula to get x= ![\frac{18+6\sqrt{23} }{6} ,\frac{18-6\sqrt{23} }{6}](https://tex.z-dn.net/?f=%5Cfrac%7B18%2B6%5Csqrt%7B23%7D%20%7D%7B6%7D%20%2C%5Cfrac%7B18-6%5Csqrt%7B23%7D%20%7D%7B6%7D)
Then you simplify and get the answers x= 3 +
, 3 -![\sqrt{23}](https://tex.z-dn.net/?f=%5Csqrt%7B23%7D)
By using what we know about right triangles, we conclude that the height is 11ft.
<h3>
How far is the top of the escalator from the ground floor? </h3>
We can think of this as a right triangle.
Where the length of the escalator is the hypotenuse
We know that the angle of depression is 42.51°, then the top angle of our right triangle is:
90° - 42.51° = 47.49°
Now, the height of the top of the escalator would be the adjacent cathetus to said angle, then we can use the relation:
cos(a) = (adjacent cathetus)/(hypotenuse)
Replacing what we know:
cos(47.49°) = height/16ft
cos(47.49°) *16ft = height = 10.8ft
Rounding to the nearest foot, we get:
height = 11ft
If you want to learn more about right triangles:
brainly.com/question/2217700
#SPJ1
Answer:
Centroid
Step-by-step explanation:
is it right please tell me down below thank you
The answer to this question is B