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MrRa [10]
3 years ago
9

(10.01 MC) Marko is playing the video game Fort Attack. The purpose of the game is to shoot invading bandits that are trying to

breach the fort's circular wall, and Marko must provide the angle at which the cannon should turn in order to shoot the attacking bandits. The bandit is attacking as pictured in the figure below: 30l What is the angle of fire in standard position on the unit circle in both degrees and radians? (2 points)

Mathematics
2 answers:
rusak2 [61]3 years ago
8 0
Angle of fire in degrees = 90 + 30 =120 degrees

Angle of fire radians =180 degrees = π

120* π/180=120π /180 OR 4π/6 OR 2π/3
Ilia_Sergeevich [38]3 years ago
3 0

Answer:

The image show the shooting angles arrangement.

If we sum angles we have that the shooting angle is 120°.

Now, we have to transform this into radians units.

We know that \pi = 180\°

Then, 120\°.\frac{\pi}{180\°} =\frac{12\pi}{18}=\frac{6\pi }{9}=\frac{2\pi}{3}

Therefore, the shooting angles is 120° or \frac{2\pi}{3}radians

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The endpoints of the diameter of a circle are (−2, −3) and (4, −1). Which equation represents the circle?
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Answer:

The equation of circle is (x-1)^{2}+(y-2)^{2} = 18

Step-by-step explanation:

Given the endpoints of the diameter of a circle: (-2,-3) and (4,-1)

We know that the equation of circle is

(x-h)^{2} + (y-k)^{2}= r^{2}

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To find (h,k): the center is midpoint of diameter

Midpoint of diameter with end points (x1,y1) and (x2,y2) is given by

(  \frac{x1+x2}{2} , \frac{y1+y2}{2}  )

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Substituting values of (h.k) and (x.y) as (1,2) and (4,-1) respectively in equation of circle, we get

(4-1)^{2} +(-1-2)^{2} = r^{2}

r^{2} = 18

Now substituting values of (h,k) and r^{2} in equation of circle, we get

(x-1)^{2}+(y-2)^{2} = 18

Hence the equation of circle is (x-1)^{2}+(y-2)^{2} = 18

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