Step-by-step explanation:
Radius of a cicke is calculated by 2 pi r
Equation is found by y=mx+C
Answer:
.
Step-by-step explanation:
9x^2 + 18x + 9 = 5
9(x^2 + 2x +1) - 5 = 0
x^2 + 2x - 4 = 0
Then use the quadratic formula.
Answer:
I graphed the two points on a graph in the attachment! Hope this helps! :)
Step-by-step explanation:
Using the law of sines, it is found that the distance between the kite and the dog is of 284.77 meters.
<h3>What is the law of sines?</h3>
Suppose we have a triangle in which:
- The length of the side opposite to angle A is a.
- The length of the side opposite to angle B is b.
- The length of the side opposite to angle C is c.
The lengths and the sine of the angles are related as follows:
![\frac{\sin{A}}{a} = \frac{\sin{B}}{b} = \frac{\sin{C}}{c}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csin%7BA%7D%7D%7Ba%7D%20%3D%20%5Cfrac%7B%5Csin%7BB%7D%7D%7Bb%7D%20%3D%20%5Cfrac%7B%5Csin%7BC%7D%7D%7Bc%7D)
For the situation described, we have that:
- The height is opposite to the angle of 42º.
- The 425 meters are opposite to the angle of 87º.
Hence:
![\frac{\sin{42^\circ}}{h} = \frac{\sin{87^\circ}}{425}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csin%7B42%5E%5Ccirc%7D%7D%7Bh%7D%20%3D%20%5Cfrac%7B%5Csin%7B87%5E%5Ccirc%7D%7D%7B425%7D)
Applying cross multiplication:
![h = 425\frac{\sin{42^\circ}}{\sin{87^\circ}}](https://tex.z-dn.net/?f=h%20%3D%20425%5Cfrac%7B%5Csin%7B42%5E%5Ccirc%7D%7D%7B%5Csin%7B87%5E%5Ccirc%7D%7D)
h = 284.77 meters.
More can be learned about the law of sines at brainly.com/question/25535771
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