The equation of circle in standard form is ![(x - 3)^2 + (y - 7)^2 = 16](https://tex.z-dn.net/?f=%28x%20-%203%29%5E2%20%2B%20%28y%20-%207%29%5E2%20%3D%2016)
<h3><u>Solution:</u></h3>
Given that circle having center point (3,7) and the radius r = 4
To find: equation of circle in standard form
<em><u>The equation of circle is given as:</u></em>
![(x - h)^2 + (y - k)^2 = r^2](https://tex.z-dn.net/?f=%28x%20-%20h%29%5E2%20%2B%20%28y%20-%20k%29%5E2%20%3D%20r%5E2)
Where center (h,k) and radius r units
Given that center point (h , k) = (3, 7) and radius r = 4 units
Substituting the values in above equation of circle,
![(x - 3)^2 + (y - 7)^2 = 4^2\\\\(x - 3)^2 + (y - 7)^2 = 16](https://tex.z-dn.net/?f=%28x%20-%203%29%5E2%20%2B%20%28y%20-%207%29%5E2%20%3D%204%5E2%5C%5C%5C%5C%28x%20-%203%29%5E2%20%2B%20%28y%20-%207%29%5E2%20%3D%2016)
Thus the equation of circle in standard form is ![(x - 3)^2 + (y - 7)^2 = 16](https://tex.z-dn.net/?f=%28x%20-%203%29%5E2%20%2B%20%28y%20-%207%29%5E2%20%3D%2016)
Answer:
D
Step-by-step explanation:
I think it is D
Answer:
12.9 yd
Step-by-step explanation:
It helps if you draw a triangle. Draw a horizontal segment. That is the ground. Now at the left end start a new segment that goes up to the right at approximately 15 degrees until it its other endpoint directly above the right endpoint of the horizontal segment. Connect these two endpoints. The vertical side on the right shows the height of the kite. The hypotenuse is the string.
For the 15-deg angle, the height of the triangle is the opposite leg, and the string is the hypotenuse. The trig ratio that relates the opposite leg tot he hypotenuse is the sine.
![\sin A = \dfrac{opp}{hyp}](https://tex.z-dn.net/?f=%20%5Csin%20A%20%3D%20%5Cdfrac%7Bopp%7D%7Bhyp%7D%20)
![\sin 15^\circ = \dfrac{h}{50~yd}](https://tex.z-dn.net/?f=%20%5Csin%2015%5E%5Ccirc%20%3D%20%5Cdfrac%7Bh%7D%7B50~yd%7D%20)
![(50~yd)\sin 15^\circ = h](https://tex.z-dn.net/?f=%20%2850~yd%29%5Csin%2015%5E%5Ccirc%20%3D%20h%20)
![h = (50~yd)(0.2588)](https://tex.z-dn.net/?f=%20h%20%3D%20%2850~yd%29%280.2588%29%20)
![h = 12.9~yd](https://tex.z-dn.net/?f=%20h%20%3D%2012.9~yd%20)
Answer:
no
Step-by-step explanation:
3/4=0.75
1/2+n=0.5
Answer:
1/2
Step-by-step explanation:
1/4=2/8
2/8+2/8=4/8=1/2