The general solution for the given equation is 40°+120°n.
The period of g(x) is π.
The range of f(x) is [-1, 1].
- sin(x-30°) = cos 2x
- sin(x-30°) = sin(90°-2x)
- (x-30°) = (90°-2x) + 360°n
- x + 2x = 90° + 30° + 360°n
- 3x = 120° + 360°n
- x = (120° + 360°n)/3
- The general solution (x) is 40° + 120°n.
- g(x) = cos 2x
- The period of cos x is 2π.
- If the multiplying factor of x is 'n', then it decreases the period by n times.
- Here, in g(x), n is 2.
- The period of g(x) is equal to half the period of cos x.
- The period of g(x) = 2π/2
- The period of g(x) is π.
- f(x) = sin(x-30°)
- "Sin" is a trigonometric function which has a range from -1 to 1.
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Pytagorean theorem
height10
attached at 10-4=6 yards from bottom
8 yards from base to away
a^2+b^2=c^2
a and b are side legnths and c=hypotonuse
so therfore we are given a and b and we must solve for c
so
6=height
8=base
6^2+8^2=c^2
36+64=c^2
100=c^2
square root
10=c
so therfor the legnth of each cable is 10 yards
3 cables so 3 times 10=30
30 yards needed
Answer:
(3+2)x - 4x
Step-by-step explanation:
I just converted the words, turned them to operations and that's it!
Hope this helps! :D
- Anna
Square both sides
9(x + 2) = x + 4
Expand
9x + 18 = x + 4
Subtract x from both sides
9x + 18 - x = 4
Simplify 9x + 18 - x to 8x + 18
8x + 18 = 4
Subtract 18 from both sides
8x = 4 - 18
Simplify 4 - 18 to -14
8x = -14
Divide both sides by 8
x = -14/8
Simplify 14/8 to 7/4
<u>C. x = -7/4</u>
Answer:
40°
Step-by-step explanation:
360-156-124=80
80/2=40
