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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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ycow [4]

Answer:

<em>Cathy was born in 1980 and she was 18 years old in 1998</em>

Step-by-step explanation:

<u>Equations</u>

This is a special type of equations where all the unknowns must be integers and limited to a range [0,9] because they are the digits of a number.

Let's say Cathy was born in the year x formed by the ordered digits abcd. A number expressed by its digits can be calculated as

x=1000a+100b+10c+d

In 1998, Cathy's age was

1998-(1000a+100b+10c+d)

And it must be equal to the sum of the four digits

1998-(1000a+100b+10c+d)=a+b+c+d

Rearranging

1998=1001a+101b+11c+2d

We are sure a=1, b=9 because Cathy's age is limited to having been born in the same century and millennium. Thus

1998=1001+909+11c+2d

Operating

88=11c+2d

If now we try some values for c we notice there is only one possible valid combination, since c and d must be integers in the range [0,9]

c=8, d=0

Thus, Cathy was born in 1980 and she was 18 years old in 1998. Note that 1+9+8+0=18

5 0
3 years ago
Jim, Katrina, Larry, and Jim have all been invited to a dinner party. They arrive randomly and each person arrives at a differen
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Answer:

24

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1/12

Step-by-step explanation:

a) This is a counting problem 4*3*2*1 = 24 different ways.

b) 1 * 2 * 1 * 1   = 2 ways

This is one you should try.

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Jim Larry Kat Kim

You can't get another way.

c)

There are 2 ways that Jim can arrive first and Kim Last shown in b

2/24 = 1/12

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