In a unit circle, ø = 2pi radians What is the terminal point?
A. (0,1).
B. (0, -1)
C. (-1,0)
D. (1,0)

Answers

Answer 1

Answer:

The terminal point is (1, 0) D

Step-by-step explanation:

In the unit circle, Ф is the angle between the terminal side and the positive part of the x-xis.

The terminal point on the positive part of the x-axis is (1, 0),which means Ф = 0° or 360° and cosФ = 1, sinФ = 0The terminal point on the positive part of the y-axis is (0, 1),which means Ф = 90° and cosФ = 0, sinФ = 1The terminal point on the negative part of the x-axis is (-1, 0),which means Ф = 180° and cosФ = -1, sinФ = 0The terminal point on the negative part of the y-axis is (0, -1),which means Ф = 270° and cosФ = 0, sinФ = -1

In a unit circle

Ф = 2π radians

∵ 2π radians = 360°

→ By using the 1st rule above

The terminal point is (1, 0)


Related Questions

A bird goes from a higher location to a lower location at a rate of 3 meters per second. Which equation models the change in the bird's position at 120 seconds?
a. 120(-3) = -360
b. 120 x 3 = 360
c. (-120)(-3) = -360
d. 120(-3) = 360

Answers

Answer:

D

Step-by-step explanation:

We know that every second the bird's position lowers by 3(-3) so the equation for it is option D

Answer:

its A i got got right on my test

Step-by-step explanation:

A.P.E.X.

Write the next 3 terms of the arithmetic sequence

17,11,5,-1 _,_,_

Answers

Answer:

d=11-17=5-11=-6

so

-1-6=-7

-7-6=-13

-13-6=-19

Hope it will help

how to be good at math??? ​

Answers

Step-by-step explanation:

Do more and more practice daily

Please help me solve m<1 !!​

Answers

Step-by-step explanation:

Sum of angles in a triangle = 180°

Hence Angle 1 = 180° - 24° - 37° = 119°.

if you were given the following statements write your conclusion :

Answers

Step-by-step explanation:

because vertically opposite angles always intersect at a point

A band is paid $50 for performing at a restaurant. For each customer
that eats at the restaurant, the band is paid $2 more. Evaluate m (100)

Answers

Answer:

If there are 100 customers, the band will be paid $250.

Step-by-step explanation:

50 + 2m

m = 100

50 + 2(100)

50 + 200

= 250

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

14+x=-19
please solve for x

Answers

It’s -33 my work is in the picture

The formula for the volume of a cone is v= 1/3 xr^2 h. The radius, r, of the cone may be expressed as

Answers

Answer:

r=√(3v)/(xh)

Step-by-step explanation:

the volume of a cone is given as

v= 1/3 xr^2 h. Then we need the radius, r, of the cone

v= 1/3 xr^2 h

Let us cross multiply we have

3v= xr^2h

Make r^2 subject of the formula we have

r^2= 3v/xh

Find the square root of bother sides we have

r=√(3v)/(xh)

the radius, r, of the cone can be expressed as r=√(3v)/(xh)

A small rectangle has a width of 4 feet and a length of 10 feet. A larger, similar rectangle has a length of 12 feet. What is the perimeter of the larger rectangle?

Answers

Answer: 33.6 feet

Step-by-step explanation:

Since the small rectangle has a width of 4 feet and a length of 10 feet. It simply means that the length is 2.5 times the width.

A larger, similar rectangle has a length of 12 feet. The width will be:

= 12 / 2.5

= 4.8 feet

The perimeter of the larger rectangle will then be:

= 2(Length + Width)

= 2(12 + 4.8)

= 2 × 16.8

= 33.6 feet

Kim spent $33 on a magazine and
some candy bars. If the magazine
cost $5 and each candy bar cost
$4, then how many candy bars did

Answers

Answer:

Seven candy bars.

Explanation:

Suppose the number of candy bars purchased is x

The questions say he bought A magazine, means one magazine

the equation is:

4x + 5 = 33

4x = 33 – 5

4x = 28

x = 7

Kim bought 7 candy bars.

Hope this helps! :)

PLEASE HELP.. THIS IS DUE TONIGHT I WILL MARK BRAINIEST

Answers

Answer:

1. Slope is -3

2. 85 meters high

3. y=60x

4. There are no solutions (C)

5. B Lana saves better at 40 dollars weekly while Elena saves 37 per week

Step-by-step explanation:

a + 1/2b + 2/5 + 3/2a + 1/4b

Answers

Answer:

Your answer is 5a/2+3b/4+2/5

Step-by-step explanation:

Answer: The answer is 5a/2+3b/4+2/5

Step-by-step explanation: hope this helps! Merry Christmas!

Which set of measurements determines a unique triangle

A. 30°, 80°,100°

B. 20°, 70°, 90°

C. 15cm, 21cm, 30cm

D. 14ft, 17ft, 35ft

Answers

I think the awnser that will the most corrupt is D
The answer is D 14ft 17ft 35ft

Ms. Crump always includes a few bonus questions on her tests. Since if you get them wrong they don't count against your score, you might as well try them. However, on the last test she said you were only allowed to answer 2 of the given 5 questions offered. How many combinations of the 2 questions can you make?

Answers

Step-by-step explanation:

Possible combinations = 5C2 = 5 * 4 / 1 * 2 = 10.

2. I want to send out 25 Chitstmas cards so I will need 25 stamps. Each stamp cost $0.55; SO how much will I spend on stamps?​

Answers

25 (stamps) x 0.55$ = 13.75$

Answer:

$13.75

Step-by-step explanation:

please give thanks :)

what do i put in the blank?

Answers

Answer:for m find the difference between y and x and for b add all of them up

Step-by-step explanation:

On Monday, Mrs. Smith drove 3.56 miles to go to the grocery store, 5.9 miles to go to the bank, and 12.087 miles to go out to dinner. Round each
number to the nearest mile to estimate the number of miles Mrs. Smith drove on Monday

Answers

Answer:

22

Step-by-step explanation:

3.56 = 4

5.9 = 6

12.087 = 12

4+6+12 = 22

A map has a scale of 1 in : 14 mi. If
Victoria and Kumba are 2 in apart on the
map, then how far apart are the real cities?

Answers

Answer:

28 miles

Step-by-step explanation:

Since 1 inch represents 14 miles, we can find the actual distance by multiplying 14 by 2:

14(2)

= 28

So, the real cities are 28 miles apart.

Answer:

SoluTion :-

Let the unknown distance be x

[tex] \tt \dfrac{1}{14} = \dfrac{2}{x} [/tex]

By cross multiplication

[tex] \tt \: 14 \times 2 = 1 \times x[/tex]

[tex] \tt \: 28 = x[/tex]

Therefore

The far apart distance will be 28 miles.

(Y-2,2x+1)=(x-1,y+2)

Answers

Answer:

what we have to find in this question

A school chorus has 90 sixth-grade students and 75 seventh-grade students. The music director wants to make groups of performers, with the same combination of sixth- and seventh-grade students in each group. She wants to form as many groups as possible. If the largest group was formed, how many students of each grade level would be in each group?

Answers

Answer:

The music director can form a total of 15 groups

6 Sixth grade students per group

5 Seventh grade students per group

Step-by-step explanation:

Sixth grade students = 90

Seventh grade students = 75

Find the highest common factor of 75 and 90

90 = 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90.

75 = 1, 3, 5, 15, 25, 75

The highest common factor of 75 and 90 is 15

Therefore, the music director can form a total of 15 groups

Sixth grade students per group = 90 / 15

= 6 Sixth grade students per group

Seventh grade students per group = 75 / 15

= 5 Seventh grade students per group

Plz help!! Write the name of each quadrilateral and find the area

Answers

Answer:

Step-by-step explanation:

1. Rectangle: This is because all the angles are at right angles and the length is more than the breadth.

Area = Length X breadth = 6m X 5.1 m =30.6 metre square

2. Kite: it has two equal pairs of sides adjacent to each other

Area =(BD X CE )/2 = (8 X 12) /2 = 48

3. Parallelogram: This is because it has two opposite sides that are parallel, and the angles are not 90 degrees.

Area = base X height = 5.7 X 8 = 45.6 metres square

4. Rectangle: This is because all the angles are at right angles and the length is more than the breadth.

Area = Length X breadth = 2 yd X 3.1 yd = 6.2 square yards

5. Trapezium: it has only one pair of sides parallel.

Area = 0.5 ( top side + bottom side ) X height = 0.5 (6+3 X 5) = 22.5

6. Kite: it has two equal pairs of sides adjacent to each other

Area =(EG X FH)/2 = (10 X 7) /2 = 35

Please help me
I dont know how to answer this question
Answer All
Fast
Correctly
(you get 5 stars, a thanks, and BRAINLIEST)

Answers

Answer:

The lines are perpendicular, meaning if they were to intersect, they would form four right angles.

Your company makes game parts using 3-D printers. One customer wants a circular game coin that is 2.0 centimeter across and 0.5 centimeters thick. You need to estimate the of plastic you will need for each arch of 50 coins. How many cubic centimeters is that, rounded up if necessary to be a multiple of 10 cubic centimeters?

Answers

Answer:

80 cm^3

Step-by-step explanation:

The computation of the number of cubic centimeters rounded up to 10 cubic centimeter is shown below

For any type coin,

r = d ÷ 2

= 2 ÷ 2

= 1 cm

l = 0.5cm

For making 1 coin, the plastic required would be = Volume of coin

= πlr^2

= 3.14 × 0.5 × 1 × 1

= 1.57cm^3

Now For 50 coins,

Plastic needed is

= 50 × 1.57

= 78.5cm^3

= 80 cm^3

Find the value if x=2+root3

Answers

Answer:

x=2+ root(3)

x= 2 + 1.73

x=3.74

Rate positively and give brainlist

I need help on these questions​

Answers

Answer:

I dont know some of them but

2) M

3) R

4) V

5) G

6) H

7) C

8)Q

9) -9 8

please help the correct awnser gets brainlist
3 1/2 x 4

A. 3/4

B. 7 1/2

C. 12 3/4

D. 14

Answers

Answer:

Answer is D)14

Step-by-step explanation:

if u convert 3 1/2 into an improper fraction then it should look lie 7/2 the multiply that by 4 which equal 28/2 then divide that and it will equal 14

The ratio of dogs to cats 2 to 5. If there are 20 cats, how many dogs are there?

Answers

Answer:

50

Step-by-step explanation:

2 * 10 = 20

5 * 10 = 50

therefore there are 50 dogs

A 60 ounce glass bottle of juice sells for $4.20 while a 1.5 liter of the same juice sells in a plastic bottle for $3.06. Compare the unit prices of the juice for the two containers. (1 liter is approximately 34 ounces)

Answers

The answer is letter b. $4.20 / 60 ounce is the rate for the glass bottle while $3.06 / 51 ounces is the rate for the plastic one. Simplified, the glass bottle is $0.07 / ounce while the plastic bottle is $0.06 / ounce.

can anyone help me answer this?!?!

Answers

angle BCA should be the same as angle CAD -> 20°

Choose the proper rationale. "In the compound interest equation, time

Answers

Answer:

The correct answer is:

c. Time is an exponent while the other units are factors.

Explanation:

In the compound interest formula, time is the exponent.

Since it is the exponent, this tells us how many times the base is multiplied by itself.  As such, it has a larger effect on the answer than any other piece of the equation.

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