For the function
y = cos(1/2 x)
The x-intercept can be calculated by equating the function to zero and solving for x. So,
y = cos(1/2 x) = 0
1/2 x = arc cos 0
1/2 x = 90° +180°n
x =2 (90° +180°n)
x = 180° + 360°n
or converting to radians
x = (180° + 360° n)(π/180°)
x = π + 2π n
where n is any whole number
if n = 0
x = π
Therefore, the x-intercept is π or π+2π n
Answer:
arc AB = 60°
Step-by-step explanation:
The diameter splits the circle into two semi circles.
in the semicircle above the diameter, you can do 180° - 120° = 60°
so arc AB = 60°
( I'm sorry; I'm not sure how to get the answer in terms of pi. )
Answer:
16
Step-by-step explanation:
we know that
the volume of a rectangular prism is equal to

where
L is the length of the box
W is the width of the box
H is is the height of the box
in this problem we have




<u>Find the length of the box</u>
Using a graph tool-------> we will determine the roots of the equation of volume
see the attached figure
the roots are

so

therefore
<u>the answer is</u>
the length of the box is equal to 
Answer:
52 inches
Step-by-step explanation:
4×13=52 inches