Name a positive angle between 0 radians and 2π radians that is coterminal with an angle in standard position whose measure is −3π2 radians.

Answers

Answer 1

Answer:

The positive angle between [tex]0[/tex] and [tex]2\pi[/tex] radians that is coterminal with [tex]\theta = -\frac{3\pi}{2}\,rad[/tex] is [tex]\theta = \frac{\pi}{2}\,rad[/tex].

Step-by-step explanation:

GIven that the measure of the known angle is [tex]-\frac{3\pi}{2}[/tex] radians and that such angle belongs to a set of angles in terms of revolutions (with a period of [tex]2\pi[/tex]) done either clockwise or counterclockwise, we can represent the family of coterminal angles with the following expression:

[tex]\theta = -\frac{3\pi}{2}\pm (2\pi\cdot i)[/tex], for [tex]i \in \mathbb{N}_{O}[/tex] (1)

Where [tex]i[/tex] is the index of the coterminal angle.

According to the statement, we must name a positive angle between [tex]0[/tex] and [tex]2\pi[/tex] radians, which can be found by the sign [tex]+[/tex] and [tex]i = 1[/tex]. Hence, we find the required angle:

[tex]\theta = -\frac{3\pi}{2} + 2\pi[/tex]

[tex]\theta = \frac{\pi}{2}\,rad[/tex]

The positive angle between [tex]0[/tex] and [tex]2\pi[/tex] radians that is coterminal with [tex]\theta = -\frac{3\pi}{2}\,rad[/tex] is [tex]\theta = \frac{\pi}{2}\,rad[/tex].


Related Questions

i need help plzzzzzzzzzzzzzzzzzz what is 1/3(250)25.4=??????

Answers

Answer:

2116.6_

Step-by-step explanation:

joey invests 500 at 5% simple interest how much interest will he earn in 2 years?

Answers

I = p x r x t
Interest = 500 x .05 x 2
Interest = 50

please i need help with the answers this is due later on today

Answers

Answer:

384, 216, 290, 192, 384

1446, 1 roll

Step-by-step explanation:

For rectangular boxes, calculate the sum of each side, then multiply it by two.

Box 1: 2(18 x 5) + 2(18 x 4) + 2(5 x 4) = 364

Box 3: 2(11 x 8) + 2(8 x 3) + 2(3 x 11) = 290

Box 5 is a cube (all sides equal), so you can find 1 side's area and multiply it by 6.

Box 5: 6(8 x 8) = 384

For triangular boxes, calculate the edges, then find the triangular area using area = 0.5(base x height).

Box 2: (15 x 3) + (9 x 3) + (12 x 3) + 2(0.5)(9 x 12) = 216

Box 4: 2(13 x 2) + (10 x 2) + 2(0.5)(10 x 12) = 192

Total: 364 + 290 + 384 + 216 + 192 = 1446

Rolls of wrapping paper:

Area of 1 roll = 30 x 60 = 1800

Since 1446 is less than 1800, you only need 1 roll of wrapping paper.

The person above me got everything correct so brainliest them

What is 5 to the 6 power divided by 3794.3?

Answers

Answer:

4.11801913396

Step-by-step explanation:

Heart me pls

A science club chose to test the pH balance of different foods. They measured the pH balance of 7 different foods and arranged their data from least to greatest. The pH balances were 2, 3, 4, 5, 6, 7, and 8. The mean pH balance of the foods measured was 5.

What is the ​MAD​ (mean absolute deviation) rounded to the nearest tenth?


0.7

1.7

2.4

2.0

Answers

Answer:

2.4 hope this helps u...

the correct answer is 2.4

If you are given the hypotenuse and an adjacent
side, which trig function should you use?

Answers

Answer:

cosine

Step-by-step explanation:

Answer:

cosine

Step-by-step explanation:

cosine = adjacent / hypotenuse

Please help me with this

Answers

The answer is C your welcome

Write each ratio in simplest terms.
a) There were 10 pizzas for 15 people.
c) There are 20 quarters in $5.00.
e) There were 12 doughnuts for 6 people.
g) There are 40 dimes in $4.00.
i) There are 600 s in 10 min.
b) There are 72 h in 3 days.
d) At the banquet 40 people sat at 5 tables.
f) There are 60 girls for every 80 boys.
h) There are 500 cm in 5 m.
j) There are 60 nickels in $3.00.

Answers

a) 2:3

c) 4:1

e) 2:1

g) 10:1

i) 60:1

b) 24: 1

d) 8:1

f) 3:4

h) 100:1

j) 20:1

Step-by-step explanation:

a) 10:15 then divide each by 5 bc its a common denominator

c) 20:5 then divide each by 5 bc its a common denominator

e) 12:6 then divide each by 6 bc its a common denominator

g) 40:4 then divide each by 4 bc its a common denominator

i) 600:10 then divide each by 10 bc its a common denominator

b) 72:3 then divide each by 3 bc its a common denominator

d) 40:5 then divide each by 5 bc its a common denominator

f) 60:80 then divide each by 20 bc its a common denominator

h) 500:5 then divide each by 5 bc its a common denominator

j) 60:3 then divide each by 3 bc its a common denominator

Which number is equivalent to 2 ^6

Answers

Answer:

64

Step-by-step explanation:

2×2×2×2×2×2=64

that's it

Answer:

64

Step-by-step explanation:

2×2×2×2×2×2= 64 just multiply or use calculator.

Jeff has a regular account, a money market account, and several CDs at the bank. He has $600 extra from overtime this

month but knows he will make several withdrawals over the next three weeks. Into which account should he deposit his

extra $6002

Answers

Answer:

Regular Checking account

Step-by-step explanation:

You can only make 3 withdrawals from money markets per month. You can’t withdraw money from cds without penalty.

Solve the problem.
The locations, given in polar coordinates, of two ships are (7 mi, 44°) and (8 mi, 104°). Find the
distance between the two ships.
A=3601 mi
B=10.63 mi
C=7.55 mi
D=4.00 mi

Answers

Answer is the B Sure let’s gooo

compare and contrast the data represented in the double box plot below

Answers

Answer:

and wheres the box plot?

What does the slope of the equation represent?​

Answers

Answer:

[tex]m=-\frac{1}{2}[/tex]

Step-by-step explanation:

In the equation

[tex]y=mx + b[/tex]

m is a slope,

11. What is the volume of the composite solid? (Hint: The height of the cone is 42 ft.)

12. A cylindrical can of cat food has a diameter of 3.5 inches and a height of 1.25 inches. A second brand of
cat food is packaged in a cylindrical can with a radius of 1.2 inches and a height of 1.25 inches.

a) What is the volume of the first can of cat food? Show your work

b) What is the volume of the second brand of cat food? Show your work

c) What is the difference between the volumes of the cans?

Extra credit: Two cylinders have equal diameters. Are their volumes also equal? Is the same true for cones and
spheres? Explain your reasoning

Answers

Answer:

c

Step-by-step explanation:

?????? Cos ?? I don’t know the difference between cos and tan fully yet , but ASAP help here

Answers

The answer is M

Step-by-step explanation:

Cosine: this is the length of the side right next to the angle divided by the longest side/ hypotenuse.

Tan: this is the length of the side opposite of the angle divided by the side directly adjacent/ next to the angle.

In this case, cosine would be 6/10 which Is also 3/5. the angle right next to 6 is Angle M

Edward took a survey of his classmates to see how many pets each student has. The dot plot shows the results of his survey ll. 0 1 2 3 4 Number of Pets Part A How many people did Edward survey? Part B What is the mean number of pets?​

Answers

Answer:

i. 5 people

ii. Mean number of pets = 2

Step-by-step explanation:

i. From the information given in the question, the number of people surveyed by Edward is 5.

The first person has no pet, the second has 1 pet, the third has 2 pets, the fourth has 3 pets and the fifth has 4 pets.

ii. The mean number of pets is the average number of pets among the people.

The mean number of pets = [tex]\frac{sum of the number of pets}{number of people}[/tex]

                                     = [tex]\frac{0 + 1 + 2 + 3 + 4}{5}[/tex]

                                     = [tex]\frac{10}{5}[/tex]

mean number of pets  = 2

The mean number of pets is 2.

What are the values for X-ray satisfy the equation

X^2 - 5(x) - 14 = 0

A. -2 and 9
B. -2 and -9
C. 2
D. 2 and -7
E. -2 and 7

Answers

Answer:

It's D

Step-by-step explanation:

you just look at the end it's says -14. u have to see what numbers should multiply in order to get negative 14, you can use -2 and 7, or -7 and 2, but you have to see what numbers from the -14 will add up -5 because u have five in there, therfore -7+2 equals -5.* This only happens if you have 1 behind the x^2.

Explain how to factor the following:
16x^2 – 40x – 24

Answers

Answer: (x-3)(2x+1)(8)

Step-by-step explanation: First factor out the 8 to get (8)(2x^2-5x-3). So now we have what number multiply out to -6 (ab) and add up to -5. -2 and -3 work out so we manipulate the equation like (8)(2x²-2x-3x-3). Factor out 2x in the first term and -3 in the second and keep going.

What are some numerical expressions for 9 times x?

Answers

Answer:

9x

9 • x

9(x)

9*x

I think that's what the question means?

Alexis is trying to run a certain number of miles by the end of the month. If Alexis is 40% of the way to achieving her goal and she has already run 12 miles, how many miles is she trying to run by the end of the month?

Answers

Alexis has to run 30 miles overall






Here is a list of numbers:
-5, -15, -10, 5, 14, 5, -18, 11, -4
State the median.

Answers

Answer:

4

Step-by-step explanation:

-18, -15, -10, -5, 4, 5, 5, 11, 14

There are 9 terms. So the one in the middle is the median.

-18, -15, -10, -5, 4, 5, 5, 11, 14

 1      2    3   4   5  6  7  8  9

So 4 is the median.

---

hope it helps

true or false dialations of an angle are congruent to the original angle​

Answers

True because a dilation is just a shrink nothing has changed as far a number of sides so the shapes are still congruent just different sizes

Answer: True

Step-by-step explanation: Dilations do not change the angle measure. All line segments are changed by the same factor, therefore the angle remains the same.  

can you help me with this please

Answers

Answer:

part a is a and c

part b is sine

Step-by-step explanation:

I hope this helped :)

to find 12÷ 3/5 we rewrite 12 as PLEASE HELP​

Answers

Answer:

The twelve can be rewritten as: n = 3 5 × 12 1. Now, we can multiply the numerators and denominators: n = 3 ×12 5 × 1. n = 36 5.

Step-by-step explanation:

What is the value of h(−3) when h(x)= 6x2 − 2x + 12?
72
342
48
−36
−306

Answers

Step-by-step explanation:

h(-3)=6×2 - 2(-3) + 12

12+6+12

=30

SOMEONE PLEASE HELP ME !! THANK YOU

answer has to be in simplest radical form!

find v

Answers


Gxgchccuvugugucuccuug vuvuguufuffifufiufufufufkvjg

Question 9 of 10
A density curve for all the possible ages between 0 years and 25 years is in
the shape of a triangle. What is the height of the triangle?
O A. 0.08
OB. 0.02
O C. 0.04
D. 0.16

Answers

The answer is B. 0.02
1/2 (100)(h) = 1
h= 2/100
=h = 0.02

what is the answer

?

Answers

In 2 hours, the train will cover 120 miles, in 4 hours, the train will cover 240 miles. The train covered 120 more miles in 4 hours than it did in 2 hours.

Simplify the expression below as much as possible.
(7-6i) + (-1 + 4i) -(4-7i)
A. 10 + 5i
B. 2 - 9i
C. 10-9i
D. 2 +5i

Answers

B. 2-9i. Is the correct answer
The answer is D hope this helped

When you type in your answer do not include x=, just include the number

Answers

Answer:

5

Step-by-step explanation:

60÷6 is 10

54÷6 is 9

30÷6 is 5

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