Answer:
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
Step-by-step explanation:
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Answer:
The x-term inside the radical has a negative coefficient.
Step-by-step explanation:
hope this helps
By applying the law of sines.
![\frac{GH}{sin \ J} = \frac{GJ}{sin \ H}](https://tex.z-dn.net/?f=%20%5Cfrac%7BGH%7D%7Bsin%20%5C%20J%7D%20%3D%20%20%5Cfrac%7BGJ%7D%7Bsin%20%5C%20H%7D%20%20)
Given:
<span>GJ = 10 , ∠J =45° , ∠H = 31°
∴ </span><span>
![\frac{GH}{sin \ 45} = \frac{10}{sin \ 31}](https://tex.z-dn.net/?f=%20%5Cfrac%7BGH%7D%7Bsin%20%5C%2045%7D%20%3D%20%20%5Cfrac%7B10%7D%7Bsin%20%5C%2031%7D%20%20)
∴ GH = 10 * sin 45° / sin 31° ≈ 13.7 m
</span>
Let the speed of the current be y and the speed of Micah's sailing speed be x. Then 4.48/(x + y) = 0.32
4.48/(x - y) = 0.56
0.32x + 0.32y = 4.48 . . . (1)
0.56x - 0.56y = 4.48 . . . (2)
(1) x 7 => 2.24x + 2.24y = 31.36 . . . (3)
(2) x 4 => 2.24x - 2.24y = 17.92 . . . (4)
(3) - (4) => 4.48y = 13.44
y = 3
From (1), 0.32x + 0.32(3) = 4.48
0.32x = 4.48 - 0.96 = 3.52
x = 3.52/0.32 = 11
Therefore, the speed of the current is 3 miles per hour. Answer is 3 miles per hour
Answer:
2
Step-by-step explanation:
77.50 - 63.50 = 14
per gigabyte $5 + 5 =10
so answer is 2