Please help ASAP!!!! 20 PTS
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:

The unit circle is shown. There is an angle 30 degrees counterclockwise from the positive y axis. An image of a bandit is shown at the point of intersection between the angle and unit circle.

What is the angle of fire in standard position on the unit circle in both degrees and radians?

120°; pi over 6 radians
120°; 2 pi over 3 radians
30°; pi over 3 radians
30°; 2 pi over 3 radians

Answers

Answer 1

The angle of fire in the standard position will be B. 120°; 2 pi over 3 radians.

How to calculate the angle?

It should be noted that the image shows the shooting angles arrangements. Also, π = 180°.

In this case, the value of the angle will be:

= 12π/18

= (12 × 180) / 18

= 12 × 10

= 120°

Therefore. the angle of fire in the standard position will be B. 120°; 2 pi over 3 radians.

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Related Questions

Can someone help me figure out angle a in this circle? thank you!

Answers

Answer:

[tex]m \angle a = 116 \degree[/tex]

Step-by-step explanation:

By inscribed angle theorem:

[tex]m \angle a = \frac{1}{2} \times m \widehat{(BD)} \\ \\ \implies m \angle a = \frac{1}{2} \times 232 \degree\\ \\ \implies \huge { \orange{m \angle a = 116 \degree}}[/tex]

A company rents moving trucks for $45 plus $0.75 per mile. write an equation that relates the cost C and the miles driven, x. Calculate the cost of
renting a truck for one day, and driving it 110 miles.

Answers

The equation we would use here would be 45 + 0.75x = C

This is because we have a flat fee of $45 and you are being charged $0.75 per mile, so it depends on how many miles were driven.

To find out how much it would cost if it were to drive 110 miles, we simply put 110 in place of x;

45 + 0.75(110) = C

And now we solve!

45 + 82.50 = C

$127.50

Hope this helps!

Find the reciprocal of [tex]$\frac{1}{-2} \cdot \left(-\frac{1}{3}\right) \cdot \frac{1}{-4} \cdot \left( -\frac{1}{5} \right)$.[/tex]

Answers

Answer:

120

Step-by-step explanation:

Lets take it step by step!

Step 1 : first mutiply -1/2 * -1/3

-1/2 * -1/3 = 1/6

(remember to mutiply fractions we have to mutiply there denominator and numerator together)

Step 2 : then move on and multiply 1/6 * -1/4

1/6 * -1/4 =

-1/24

Step 3 :  Next we have to go and multiply -1/24 by -1/5

-1/24 * -1/5 =

1/120

Step 4 :  Finally we switch the numerator and denominator to find its reciprocal which is :

120!

Write down the corresponding side and angles from given congruent triangles.

Answers

Answer:

Hope the pictures will help you...........

The top and bottom lines are parallel. What is the value of x?
35
+
80° IX
O A. 45
B. 105
OC. 100
OD. 65

Answers

Answer:

65

Step-by-step explanation:

Which is greater: 3.5 or 6/5

Answers

3.5 is greater as 6/5 = 1.2

Answer:

3.5

Step-by-step explanation:

6/5 = 1.2

3.5 > 1.2

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS IF YOU DO THEN YOU GET REPORTED AND PLEASE EXPLAIN WHY THAT IS THE ANSWER

Answers

Answer:

BC=48

Step-by-step explanation:

BC=EF.

so x+37=4x+4

Move things over etc etc:

37=3x+4

33=3x

x=11

BC= x+37

If x=11 then BC= 11+37.

Write an equation of the
line that passes through
the given points (-3,-1)
(2, 2)

Answers

Answer:

[tex]y = \dfrac{3}{5}x + \dfrac{4}{5}[/tex]

Step-by-step explanation:

First, find the slope:

m = (change in y) / (change in x) = rise / run

m = (2 - (-1)) / (2 - (-3)) = (2 + 1) / (2 + 3) = 3/5

Then, write the equation of the line in point-slope form:

y - b = m(x - a)  where  (a, b) is a point on the line

y - 2 = (3/5)(x - 2)

Finally, solve for y:

[tex]y = \dfrac{3}{5}(x - 2) + 2[/tex]

[tex]y = \dfrac{3}{5}x - \dfrac{6}{5} + 2[/tex]

[tex]y = \dfrac{3}{5}x + \dfrac{4}{5}[/tex]


What is the distance between points (-6, -7) and (-1,5) on the coordinate plane?

Answers

Answer:

The answer is C. 13

Step-by-step explanation:

GUYS HELP ASAP
CHECK THE ATTACHED PHOTO

Answers

Answer:

As they triangles are congruent, we can say that, angle A = angle O

So, angle A = 105+25 =130

A = 180 - 130 = 50° all angles in a triangle add up to 180)

Soo 50° is the answer,

I'm not too sure about it but I think this is correct, hope this helps, correct me if I'm wrong....

Triangle ABC is rotated to form ​△A'B'C'​.

The coordinates of point A are (1, 1), the coordinates of point B are (3, 1), and the coordinates of point C are (1, 4).

Which counter clockwise rotation around the origin results in the transformation of ​△ABC​​ to ​△A'B'C'​?



Select from the drop down arrow to choose the correct rotation.
90 degrees
180 degrees
360 degrees

Answers

Answer:

may be 90 degrees for that question

Answer: Rotation of 90

Step-by-step explanation:

What quantity of parsley would you need to make a half recipe?​

Answers

Answer:

7/16 of parsley

Step-by-step explanation:


The length and breadth of a rectangular piece of paper are 18 cm and 15 cm respectively. By how much should be length be reduced keeping breadth constant to make area equal to 134 cm².....​

Answers

Answer:

Area of a rectangle = length x breadth

Given:

area = 134 cm²breadth = 15 cm

⇒ 134 cm² = length x 15cm

⇒ length = 134 ÷ 15

               = 8.93333333... cm

Reduction in length = original length - new length

                                 = 18 cm - 8.93333333... cm

                                 = 9.07 cm (nearest hundredth)

A bag of apples weighs
4.25 pounds. How many
ounces
does the bag of apple
weigh?

Answers

Answer:

68 ounces

Step-by-step explanation:

Since 1 pound is 16 ounces, if you use the comparison 1 lb/16 oz=4.25 lb/x oz, you could see that by multiplying 4.25x1, you get 4.25 lbs. So you do the same for the ounces. 16x4.25=68 oz.

The bag of apple weigh is 68 ounces .

What is unit of measurement?

A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity.

According to question

A bag of apples weighs = 4.25 pounds

and  1 pounds = 16 ounces

Therefore ,

4.25 pounds = 16*4.25 ounces

                     = 68 ounces

Hence, the bag of apple weigh is 68 ounces .

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What happens to the mode of the data set shown below if the number 8 is added to the data set?

12,8,13,9,10,10,15,14,13,6,40,11,15,15,8,7

A. There is no mode.
B. The mode will not change.
C. There will be two modes.
D. The mode increases by 6.
PLEASE HURRY

Answers

Answer:

d the mode increase by 8

Step-by-step explanation:

mode is affected due to change in origin by same constant value

Answer:

C

Step-by-step explanation:

There will be 2 modes because 15 and 8 would both repeat 3 times.

A bowling ball has an outside layer, and an inner core. One type of bowling ball has a diameter of 8 inches, and the outside layer is an inch thick. what is the volume of the outsdie layer

Answers

diameter = 8

radius = 4

outside layer is an inch thick so

radius is 3

volume of a bowling ball is

volume of a sphere which is

4/3 * Pi * radius cubed =

(4/3)*Pi*27=

answer = 82447.96 in^3 or inches cubed

socraticorg

The volume of the outsdie layer whose  diameter is of 8 inches is 290 cubic inches.

What is Three dimensional shape?

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

Given that  bowling ball has an outside layer, and an inner core

One type of bowling ball has a diameter of 8 inches

We have to find the volume of the outsdie layer

Radius of the ball is 4 inches.

Volume of sphere = 4/3πr³

=4/3×3.4×4³

=4/3×3.4×64

=290 cubic inches

Hence, the volume of the outsdie layer whose  diameter is of 8 inches is 290 cubic inches.

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A mountain road drops 5.2 m for every 22.5 m of the road. Calculate the angle at which the road is inclined to the horizontal.​

Answers

Answer:

13°

Step-by-step explanation:

sin(Ф)= opposite/ hypothenuse

sin(Ф) =  5.2/22.5

Ф= sin∧-1 (5.2/22.5)

Ф= 13.36°

Which numbers are perfect squares? Check all that apply.
1
2
16
18
32
44
94
100

Answers

Answer:

1, 16, 100

Step-by-step explanation:

Answer:

other persons right i took the test and got it right so 1, 16, and, 100

Step-by-step explanation:

How many square yards are there in a floor which is 9 feet long by 21 feet wide?

Answers

Answer:

Step-by-step explanation:

Length of floor=9ft=3 yard

Breadth of floor=21ft=7 yard

Area of floor=lb=3×7=21yard²

Solve this for c: 2x + y = 10,
4x + 2y = c ​

Answers

x = 2?? and y = 6
4x + 2y = 20 so c = 20??

Using the information in the table, draw a
graph of the relationship between t, the
time, and d, the total distance traveled by
the train, for a trip that lasted from 0 to 7
hours.

Answers

Answer:

Step-by-step explanation:

Pls help me get this. Right

Answers

Answer:

26 units

Step-by-step explanation:

so the horizontal distance between the two points is 24 units while the vertical distance is 10 units.

hence, we can use the pythagorean theorem to find the length of the diagonal.

the answer is equal to sqrt( 24^2 +10^2)

the answer is 26 units

also you should always remember that the diagonal is always greater in length than both the vertical and horizontal sides.

make sure to ask if you need any further guidance :)

The answer is C
26 units

what's 3/4 divided by 1 1/5

Answers

15/44

Step-by-step explanation:

change the division sign to multiple. flip the numbers 11 and 5 around. multiple 3 times 5 then 4 times 11.

HELP ME OUT PLS!!!!!!!!!

Which purchase are people most likely to regularly save a small amount of money for, and then let the value grow over time?

A) going to the movies

B) retirement

C) buying audiobooks

D) going to a concert​

Answers

Answer:

B) retirement

Step-by-step explanation:

Retirement is the only one that makes sense to me when you regularly save a small amount of money, and then letting the value grow over time.

Hope this helps!!

A) Going to the movies

Explanation: Entertainment purposes

look at the number line below what point is marked on the number line​

Answers

Answer:

-2.5

Step-by-step explanation:

The point is between -2 & -3

If a boat 26’ long by 8.5’ wide and a can is 4.75” tall by 2.4” wide how many cans can fill the boat?

Answers

Answer:

19

Step-by-step explanation:

Easy function or not

Answers

Answer:

Problem 9: No

Problem 10: Yes

Step-by-step explanation:

Hello!

Problem 9:

This is NOT a function because one x-value has only one unique y-value. -2 is seen twice and the outputs, y, are given as 6 and 0.5. To be a function, each input has its own unique output. Two different inputs can have the same output.

Problem 10:

This IS a function, all inputs have unique outputs, and no repeating inputs are shown.

Terms:

x - values are also known as input, abscicca

y - values are also known as output, ordinate.

Brent plays three sports: basketball, baseball, and soccer. He calculated the mean absolute deviation of the points he scored in each season.

basketball: mean absolute deviation of 4.6

baseball: mean absolute deviation of 3.5

soccer: mean absolute deviation of 1.2

In which sport were his scores the most spread out?


baseball

soccer

basketball

Answers

Answer:

basketball

I hope this is useful

Answer: (C) Basketball

Step-by-step explanation: I took the test and that is the answer.

what is (1/8) to the power of 8

Answers

Answer:

5.96 when rounded to the nearest hundredth

Step-by-step explanation:

I need help please and please explain your answer.

Answers

Answer:

I think it is B or D

actually it is B i got 100%

Step-by-step explanation:

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