Assuming that CB is tangent, this is just a right triangle with a hypotenuse of 20 and a side of 12 so by the Pythagorean Theorem:
20^2=12^2+x^2
400=144+x^2
x^2=400-144
x^2=256
x=16
Answer:c
Just had it on apex
Step-by-step explanation:
428,731 - 175,842 = 252,889
Answer:
The length of arc PQ is 8.1 inches.
Step-by-step explanation:
First, you have to find the angle of POQ. Given that total angles in a circle is 360°, so you have to subtract to get ∠POQ :
![73 + 150 + 65 + ∠POQ = 360](https://tex.z-dn.net/?f=73%20%2B%20150%20%2B%2065%20%2B%20%E2%88%A0POQ%20%3D%20360)
![288 + ∠POQ = 360](https://tex.z-dn.net/?f=288%20%2B%20%E2%88%A0POQ%20%3D%20360)
![∠POQ = 360 - 288 = 72](https://tex.z-dn.net/?f=%E2%88%A0POQ%20%3D%20360%20-%20288%20%3D%2072)
Next, you have to apply length of arc formula, Arc = θ/360×2×π×r where θ represents the angle of arc and r is the radius of circle :
![arc = \frac{θ}{360} \times 2 \times \pi \times r](https://tex.z-dn.net/?f=arc%20%3D%20%20%5Cfrac%7B%CE%B8%7D%7B360%7D%20%20%5Ctimes%202%20%5Ctimes%20%5Cpi%20%5Ctimes%20r)
![let \: θ = 72,\pi = 3.14,r = 6.48](https://tex.z-dn.net/?f=let%20%5C%3A%20%CE%B8%20%3D%2072%2C%5Cpi%20%3D%203.14%2Cr%20%3D%206.48)
![arc = \frac{72}{360} \times 2 \times 3.14 \times 6.48](https://tex.z-dn.net/?f=arc%20%3D%20%20%5Cfrac%7B72%7D%7B360%7D%20%20%5Ctimes%202%20%5Ctimes%203.14%20%5Ctimes%206.48)
![arc = 8.1 \: inches \: (near.tenth)](https://tex.z-dn.net/?f=arc%20%3D%208.1%20%5C%3A%20inches%20%5C%3A%20%28near.tenth%29)
9514 1404 393
Answer:
6
Step-by-step explanation:
If 60% are yellow, the other 40% are green. Then the difference between yellow and green is 60% -40% = 20% of the total number of fish. That difference also happens to be half of the number of green fish:
20% = (1/2)(40%)
So, the number of green fish is 2×3 = 6.
_____
If you wanted to, you could write a couple of equations:
y - g = 3
y = 0.60(y +g)
Using the first equation to write an expression for y, we get ...
y = g +3
Using this in the second equation, we have ...
g +3 = 0.6(g +3 +g)
g +3 = 1.2g +1.8 . . . . eliminate parentheses
1.2 = 0.2g . . . . . . . . subtract g+1.8
1.2/0.2 = g = 6 . . . . . divide by 0.2
There are 6 green fish in the aquarium.