Answer:
To find x we use sine
Sine ∅ = opposite/ hypotenuse
x is the opposite
The hypotenuse is 15cm
sin 35° = x / 15
x = 15 sin 35°
x = 8.60
x = 9cm to the nearest tenth
Hope this helps you
Answer:
Yes it has
Step-by-step explanation:
From my perspective.........
f(x) = -4(x + 3)² - 5
f(x) = -4(x + 3)(x + 3) - 5
f(x) = -4(x² + 6x + 9) - 5
f(x) = -4x² - 24x - 36 - 5
f(x) = -4x² - 24x - 41
Dy/dx = -8x - 24
At minimum Dy/dx = 0
-8x - 24 = 0
-8x = 24
x = 24/-8
x = -3
At minimum
y = -4x² - 24x - 41
y = -4(-3)² - 24(-3) - 41
y = -4(9) + 72 - 41
y = -36 + 72 - 41
y = 36 - 41
y = -5
Rearrange the equation as
cos(x) - √(1 - 3 cos²x) = 0
cos(x) = √(1 - 3 cos²x)
Note that both sides have to be positive, since the square root function is non-negative. If we end up with any solutions that make cos(x) < 0, we must throw them out.
Take the square of both sides.
(cos(x))² = (√(1 - 3 cos²(x))²
cos²(x) = 1 - 3 cos²(x)
4 cos²(x) = 1
cos²(x) = 1/4
cos(x) = ± √(1/4)
cos(x) = ± 1/2
We throw out the negative case and we're left with
cos(x) = 1/2
This has general solution
x = arccos(1/2) + 360° n or x = -arccos(1/2) + 360° n
(where n is any integer)
x = 60° + 360° n or x = -60° + 360° n
Now just pick out the solutions that fall in the interval 0° ≤ x < 360°.
• From the first solution set, we have x = 60° when n = 0.
• From the second set, we have x = 300° when n = 1.
So the answer is D.
The answer is B. In 10 hours, the phone would completely lose its charge.
Y=-10(10)+100=-100+100=0
4/11=36.36%
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