![\frac{\sin B}{b}=\frac{\sin A}{a} \\ \\ \sin B=\frac{b \sin A}{a} \\ \\ \sin B=\frac{13 \sin 29^{\circ}}{7.2} \\ \\ \boxed{m\angle B =\arcsin \left(\frac{65\sin 29^{\circ}{36} \right), 180^{\circ}-\arcsin \left(\frac{65\sin 29^{\circ}}{36} \right)}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csin%20B%7D%7Bb%7D%3D%5Cfrac%7B%5Csin%20A%7D%7Ba%7D%20%5C%5C%20%5C%5C%20%5Csin%20B%3D%5Cfrac%7Bb%20%5Csin%20A%7D%7Ba%7D%20%5C%5C%20%5C%5C%20%5Csin%20B%3D%5Cfrac%7B13%20%5Csin%2029%5E%7B%5Ccirc%7D%7D%7B7.2%7D%20%5C%5C%20%5C%5C%20%5Cboxed%7Bm%5Cangle%20B%20%3D%5Carcsin%20%5Cleft%28%5Cfrac%7B65%5Csin%2029%5E%7B%5Ccirc%7D%7B36%7D%20%5Cright%29%2C%20180%5E%7B%5Ccirc%7D-%5Carcsin%20%5Cleft%28%5Cfrac%7B65%5Csin%2029%5E%7B%5Ccirc%7D%7D%7B36%7D%20%5Cright%29%7D)
Considering the diagram.
is shown to be acute, so
.
Angles in a triangle add to 180°, so
.
Using the law of cosines,
![AB=\sqrt{13^2 + 7.2^2-2(13)(7.2)\cos \left(\arcsin \left(\frac{65\sin 29^{\circ}}{36} \right) \right)} \\ \\ \boxed{AB=\sqrt{220.84-187.2\cos \left(\arcsin \left(\frac{65\sin 29^{\circ}}{36} \right) \right)}}](https://tex.z-dn.net/?f=AB%3D%5Csqrt%7B13%5E2%20%2B%207.2%5E2-2%2813%29%287.2%29%5Ccos%20%5Cleft%28%5Carcsin%20%5Cleft%28%5Cfrac%7B65%5Csin%2029%5E%7B%5Ccirc%7D%7D%7B36%7D%20%5Cright%29%20%5Cright%29%7D%20%5C%5C%20%5C%5C%20%5Cboxed%7BAB%3D%5Csqrt%7B220.84-187.2%5Ccos%20%5Cleft%28%5Carcsin%20%5Cleft%28%5Cfrac%7B65%5Csin%2029%5E%7B%5Ccirc%7D%7D%7B36%7D%20%5Cright%29%20%5Cright%29%7D%7D)
It will be a 1/27 chance that the family will have 3 dogs or 3 cats 1/3x1/3x/13=1/27
Answer:
13 degrees.
Step-by-step explanation:
First we calculate the other 2 angles of the triangle of which < x is a part.
The bottom angle = 85 (vertical angles are equal).
The top one = 180 - 98 = 82. ( corresponding and adjacent angles).
So angle x = 180 - (85 + 82).
= 180 - 167
= 13 degrees.
Answer:
A
Step-by-step explanation:
<u>Answer: </u>Taking a Photo of another photo displayed in an art gallery and claiming it as your own
<u>Step-by-step explanation:</u><u> </u>Because you are claiming something as your own(when it's not) is considered plagiarism and no other situation is considered plagiarism but this one so really the <u><em>process of elimination</em></u> explains the answer to this question