Answer:
x = 15.3
x = 20.9
Step-by-step explanation:
sin(46) = 11/x
⇒ x = 11/sin(46) = 15.3
cos(55) = 12/x
⇒ x = 12/cos(55) = 20.9
The
correct answer is:
TrueExplanation:
1.
![log_a1 = 0](https://tex.z-dn.net/?f=log_a1%20%3D%200)
(Straightforward)
2.
![log_aa = 1 ](https://tex.z-dn.net/?f=log_aa%20%3D%201%0A)
(log to base of itself is always 1)
3.
![log_a \frac{1}{a} = log_aa^{-1} = -1(1) = -1](https://tex.z-dn.net/?f=log_a%20%5Cfrac%7B1%7D%7Ba%7D%20%3D%20log_aa%5E%7B-1%7D%20%3D%20-1%281%29%20%3D%20-1)
(Using log power property)
Hence the correct option is True.
Answer:
B. (4,12)
Step-by-step explanation:
The process is really easy, all you have to do is substitute the numbers of the ordered pairs into the equations.
So like for A. (-5,8)
Putting this into the equation would look like this,
10 * -5 + 2 * 8 The -5 being substituted for the x and the 8 for the y.
This equation equals to -34, not 64.
3 * -5 - 4 * 8 = -47
not equal to -36, so A is eliminated.
For B. (4,12)
10 * 4 + 2 * 12 = 64
3* 4 - 4 * 12 = -36
These equal to both of the given equations.
For C. (2, 10)
10 * 2 + 2 * 10= 40
3 * 2 - 4 * 10 = -34
These are not equal to the given answers of these equations, C is eliminated.
And D. (-3,11)
10 * -3 + 2 * 11 = -8
3 * -3 - 4 * 11 = -53
These are not equal to the given answers of these equations, D is eliminated.
So the only pair that have made both equations true is B.(4,12)
Answer:
A
Step-by-step explanation:
8/13 = 8 divided by 13
because it is thedivided by the denominator