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MrRa [10]
2 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]2 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]2 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 marching band walks 1/15 miles in 1.5 minutes. At this rate, how many minutes will it take to complete 1 mile? Record your a
ipn [44]

Answer:

It will take 22.5 minutes to complete 1 mile

Step-by-step explanation:

From the question,

The marching band walks 1/15 miles in 1.5 minutes

First we will determine the miles cover in 1 minute

If the marching band walks 1/15 miles in 1.5 minutes

then, they will cover x miles in 1 minute

x = \frac{1/15 * 1}{1.5}\\

Then,

x = \frac{1/15 }{1.5}

x = 2/45 miles

∴ 2/45 miles are covered in 1 minute

Now,

If 2/45 miles are covered in 1 minute

Then, 1 mile will be covered in y minute

y = \frac{1 * 1}{2/45}

y =\frac{1}{2/45} \\y = \frac{45}{2}\\

∴ y = 22.5 minutes

Hence, it will take 22.5 minutes to complete 1 mile

6 0
2 years ago
Colin is painting figurines. He spends 20 minutes painting each figurine. After painting for 60 minutes, he still has 9 more fig
miss Akunina [59]

Answer:

f(t) = -0.05t +12

Step-by-step explanation:

To solve this problem we must pay attention to the following data supplied:

- f It is the number of figurines that remain to be painted.

- t amount of time, in minutes, that Colin spends painting

- Colin takes 20 minutes painting each figurines.

- After painting 60 min, he still has 9 figurines left. f (60) = 9

If he takes 20 minutes painting 1, it means that in 60 minutes he has painted 3 and he has 9 left.

Then, at the beginning he has 9 +3 figurines to be painted.

f (0) = 3 + 9\\f (0) = 12

With these two points we can find the function:

If m is the slope of the line, then:

m = \frac{y_2-y_1}{x_2-x_1}\\\\m = \frac{9-12}{60-0}\\\\m = -0.05\\\\f (t) = -0.05t + c

Where by definition c = f(0) = 12

Finally the formula is:

f(t) = -0.05t +12

3 0
2 years ago
Read 2 more answers
​Jody, a statistics​ major, grows tomatoes in her spare time. She measures the diameters of each tomato. Assume the Normal model
lina2011 [118]

Answer:

Zscore = 0.5

Step-by-step explanation:

If we assume a normal distribution, we mean that the diameters of each tomato follow a normal distribution. This is N~ (0,1).

By that, we mean that the mean (μ) = 0 and variance (\sigma^{2}) = 1. Thus, since we are told that one tomato was in the 50th percentile. This implies the median. And is 0.5. And if the distribution is normal, the mean and median and mode should be equal.

Thus:

==> Z score = \frac{x-\mu}{\sigma} = \frac{0.5 - \mu}{\sigma} = \frac{0.5-0}{1} = 0.5

8 0
2 years ago
A graph has minutes on the x-axis and ounces of popcorn on the y-axis. A curve goes through points (0, 0), (50, 12), and (110, 1
butalik [34]

Answer:

No :)

Step-by-step explanation:

the graph does not make a straight line. :)

5 0
2 years ago
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A maple syrup company is making a new label for its barrels of syrup. If the barrels are 5 feet tall and have a radius of 2 feet
Elanso [62]

Answer:

(A)62.8 square feet

Step-by-step explanation:

Height of the barrels = 5 feet

Radius of the barrels= 2 feet

\pi=3.14

The barrel is in the shape of a cylinder and the area of the label the company needs is that of the round sides(curved surface area) of the cylinder.

Curved Surface Area of a Cylinder=2\pi rh

=2X3.14X2X5

=62.8 square feet

The company need 62.8 square feet of label.

7 0
2 years ago
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