Answer:
<em>Since one of the angles is 90°, the triangle is right.</em>
Step-by-step explanation:
<u>Angles in a Triangle</u>
The sum of angles in a triangle is 180°. We are given the angles are x, 5x, and 6x, thus:
x + 5x + 6x = 180
Simplifying:
12x = 180
Dividing by 12:
x = 180/12 = 15
x = 15°
5x = 75°
6x = 90°
Since one of the angles is 90°, the triangle is right.
Answer:
(a)Therefore the value of x=
(b) Therefore the value of x 
Step-by-step explanation:
Horizontal tangent line: The first order derivative of a function gives the slope of the tangent of the function. The slope of horizontal line is zero.If the slope of tangent line is zero then the tangent line is called horizontal tangent line.
(a)
Given function is,

Differential with respect to x

For horizontal tangent line, f'(x)=0
3+ 3 cos x= 0
⇒3 cos x=-3
⇒cos x=-1
⇒x = 180° 
Therefore the value of x=
(b)
Given that, the slope is 3.
Then,f'(x)=3
3+ 3 cos x= 3
⇒3 cos x= 3-3
⇒cos x=0
⇒x = 90° 
Therefore the value of x 
We will turn the left side into the right side.

Use the identity:



Now use the identity
solved for sin^2 x and for cos^2 x.




1 hour = 60 minutes
27/60 = 0.45 miles per minute
The square root of 110 is 10.49. Hope this helps you!