The value of the trigonometry are sin(Π-Ɵ) = 0.84 and sin(Π + Ɵ) = -0.84
According to the question, there is a circle whose radius is 1 and the ray intersects the circle at point (0.54, 0.84).
We need to find the trigonometric values, that is
sin(Π-Ɵ) = sin(Ɵ) as we know that when the angle is in third quadrant sin is positive.
sin(Π+Ɵ) = -sin(Ɵ) as we know that when the angle is in fourth quadrant sin is negative.
Also note that, sinƟ = perpendicular/hypotenuse
Perpendicular = 0.84 as the perpendicular length will be equal to the length of the y-axis
Hypotenuse = 1 as the hypotenuse will be the radius of the circle which is formed by the ray.
Thus, sinƟ = 0.84/1 = 0.84
Hence, sin(Π-Ɵ) = 0.84
And sin(Π+Ɵ) = -0.84
Learn more about trigonometry here : brainly.com/question/13729598
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Answer: x = 8
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I'm going to use the notation log(2,x) to indicate "log base 2 of x". The first number is the base while the second is the expression inside the log (aka the argument of the log)
log(2,x) + log(2,(x-6)) = 4
log(2,x*(x-6)) = 4
x*(x-6) = 2^4
x*(x-6) = 16
x^2-6x = 16
x^2-6x-16 = 0
(x-8)(x+2) = 0
x-8 = 0 or x+2 = 0
x = 8 or x = -2
Recall that the domain of log(x) is x > 0. So x = -2 is not allowed. The same applies to log(2,x) as well.
Only x = 8 is a proper solution.
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You can use the change of base rule to check your work
log base 2 of x = log(2,x) = log(x)/log(2)
log(2,(x-6)) = log(x-6)/log(2)
So,
(log(x)/log(2)) + (log(x-6)/log(2)) = 4
(log(8)/log(2)) + (log(8-6)/log(2)) = 4
(log(8)/log(2)) + (log(2)/log(2)) = 4
(log(2^3)/log(2)) + (log(2)/log(2)) = 4
(3*log(2)/log(2)) + (log(2)/log(2)) = 4
3+1 = 4
4 = 4
The answer is confirmed
I believe it would be fifteen.
Start by finding the mean of the gas range:
21+24/2= 22.5
Multiply 22.5 by 20
22.5 x 20= 450
Your answer is 450 miles
Answer: 5
One half of 10 is 10/2 or 1/2(10)
10/2 = 5
1/2(10) = 5
