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MrRa [10]
1 year 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]1 year 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]1 year 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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To visit his grandmother, Michael takes a motorcycle 3.853.853, point, 85 kilometers and a horse 3.323.323, point, 32 kilometers
liq [111]

Answer: 7.17\ kilometers

Step-by-step explanation:

<h3> The exercise is: "To visit his grandmother, Michael takes a motorcycle 3.85 kilometers and a horse 3.32 kilometers. In total, the journey takes 50.54 minutes. How many kilometers is Michael's journey in total?"</h3>

To solve this exercise you must pay attention to the data given.

According to the information provided in the exercise, Michael's journey is divided into two parts:

Part 1: 3.85\ kilometers (Traveling in a motorcycle)

Part 2: 3.32\ kilometers (Traveling in a horse)

Based on the given data, you can conclude that the the total distance in kilometers of  Michael's journey to the house to his grandamother, is the sum of those distances (3.85\ kilometers and 3.32\ kilometers)

Therefore, you need to add them in order to solve the exercise.

So, You get that the result is:

Total=3.85\ kilometers+3.32\ kilometers\\\\Total=7.17\ kilometers

3 0
2 years ago
Yuna's favorite type of cheese crackers has 30 crackers for each serving.
Yuliya22 [10]

Answer:

1 serving is 30 crackers

2 servings is 60 crackers

3 servings is 90 crackers

4 servings is 120 crackers

5 servings is 150 crackers.

Step-by-step explanation:

To find out how many crackers for how many servings you multiply one serving (30 crackers) by the amount of servings.

Example:

1 serving 30 × 1 = 30

2 servings 30 × 2 = 60

3 servings 30 × 3 = 90

7 0
2 years ago
Aramp is 17 feet long, rises 8 feet above the floor, and covers a horizontal distance of 15 feet, as shown in the figure.
bonufazy [111]

Answer:

The ratio of Tan B is

\tan B= \dfrac{AC}{BC}=\dfrac{8}{15}

OR

\tan A= \dfrac{BC}{AC}=\dfrac{15}{8}

Step-by-step explanation:

In Right Angle Triangle ABC

angle C = 90°

AB = Ramp = 17 feet

BC =Horizontal distance = 15 feet

AC = Height from floor = 8 feet

To Find:

Ratio of Tan B = ?

Solution:

In Right Angle Triangle ABC By Tangent Identity we have

\tan B= \dfrac{\textrm{side opposite to angle B}}{\textrm{side adjacent to angle B}}

Substituting the given values we get

\tan B= \dfrac{AC}{BC}=\dfrac{8}{15}

OR

\tan A= \dfrac{BC}{AC}=\dfrac{15}{8}

5 0
2 years ago
Nancy found that x=1 is one solution to the quadratic eqaution (x+2)2=a.What is the Value of a ?
coldgirl [10]
<span>(x + 2)</span>·<span>2 = a

(1 + 2)</span>·2 = a

3·2 = a

a = 6
6 0
1 year ago
Read 2 more answers
A multi-layer cake is in the shape of a right cylinder. The height of the cake is 20 centimeters, and its radius is 10 cm. If ea
gizmo_the_mogwai [7]

Answer:

There are total 5 layers.

Step-by-step explanation:

A multi-layer cake is in the shape of a right cylinder.

Height of the cake is = 20 cm

Radius is = 10 cm

Each of the cake layers has a volume of approximately 1,250 cm³.

Means, the volume of 1 cylindrical layer is 1250 cubic cm with radius as 10 cm and we have to find the height.

Volume of the cylinder is given as:

V=\pi r^{2} h

1250=3.14\times(10)^{2}\times h

1250=314 h

h=\frac{1250}{314}

h = 3.98 or approximately height of 1 layer is 4 cm.

As the cake's height is 20 cm so, there are \frac{20}{4}=5 layers in the cake.

Answer: There are 5 layers in the cake.

5 0
1 year ago
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