Why does 2pi radians equal 360 degrees?

Answers

Answer 1

Answer:

So there are 2 pi radians in one revolution and since there are also 360 degrees in one revolution, this gives us a way to convert from radians to degrees. 2 pi radians equals 360 degrees or you can divide both sides by 2 and use pi radians equals 180 degrees.


Related Questions

Which value of x makes the following equation true? 2(x + 7) = x + 19 OA. 5 OB. 12 O C. 19 OD -2​

Answers

2(x + 7) = x + 19

Use distributive property on left side;

2x + 14 = x + 19

Subtract 14 from both sides:

2x = x + 5

Subtract 1 x from both sides:

X = 5


A metal with a specific heat of 0.900 J/g °C requires 1,040 J of heat to
raise the temperature (the change in temperature) by 5 °C. What is
the mass of the metal
PLEASE HELP GIVING OUT BRAINLEST

Answers

Answer:

231.1 gm

Step-by-step explanation:

1040 J / .9 j/(gm-C)   / 5C = 231.1 gm

The mass of the metal is 231.111 gram.

What is specific heat?

The specific heat capacity of a substance is the heat capacity of a sample of the substance divided by its mass, also known as massic heat capacity.

The formula for heat is given by the formula,

Q = mC(ΔT)

Given the metal has a specific heat of 0.900 J/g °C requires 1,040 J of heat to raise the temperature (the change in temperature) by 5 °C. Therefore, we can write,

Q = mC(ΔT)

1,040 = m × 0.900 × 5

m = 1040/(0.900×5)

m = 231.111 g

Hence, the mass of the metal is 231.111 gram.

Learn more about Specific Heat:

https://brainly.com/question/11297584

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3. What is the angle of rotation for the following figure?

45°

60°

90°

120°​

Answers

Answer:

45°

360÷8= 45

Mark me brainliest.

X
у
2
9
5
10
7
09
5
12.
3
16
2
O A. y=-10.671X+0.580
O B. y= 10.671x-0.580
O C. y=0.580x-10.671
O D. y=-0.580x + 10.671
SUBMIT

Answers

The answer would be B.

In the jeweler's workshop, the ruby would be clasped tightly into a settin
flanked by diamonds.
Based on word parts, what is the meaning of flanked in the sentence?
the side of the body on a person or animal

to be situated on each side of a possession

to guard or strengthen an item from the side

SHORT EXPLANATION
the right or left side of a large body of people

Answers

Situated on Each side of a possession

Answer:

To be situated on the sides of the Ruby (Surrounding the Ruby)

Step-by-step explanation:

please find the area

Answers

18 inch²

Step-by-step explanation:

The same formula of triangle

1/2(12×6)

18 inch²

Should you use Sine, Cosine, or Tangent to solve the following problem

Answers

Answer:

Chose Cosine

Step-by-step explanation:

This is because cos = adj/hyp

Hope this helps!!!

Find the MEDIAN of his test scores.


Last semester, Mike got the following classwork grades in Math.







45, 54, 72, 89, 100, 26, 34, 100 , 92, 85, 76

Answers

Answer:

76

Step-by-step explanation:

The median is the central number of a data set. Arrange data points from smallest to largest and locate the central number. This is the median. If there are 2 numbers in the middle, the median is the average of those 2 numbers.

Find the approximate length of C (WILL CHOOSE BRAINLIEST)

Answers

Answer:

c approx= 3.46

Step-by-step explanation:

30°-60°-90° triangle is a Special Right Triangle. There's a great short cut to find the sides if you know any one side. No trig or Pythagorean Theorem necessary (but that is where the short cut comes from)

The hypotenuse is double the short leg OR the short leg is half the hypotenuse. The long leg is the short leg times the sqroot3. In your question we know the long leg is 3.

3÷ sqroot3 = sqroot3

The short leg is sqroot3. The hypotenuse is double that, 2sqroot3.

c = 2sqroot3 is the exact value.

c ~= 3.46

PLEASE HELP!!!! 20 POINTSSSS!!!!!!!!!!
I WOULD MARK BRAINLIEST!!!!!!!!!!!!!!

Answers

Answer:

a=b sinα

sinβ=5·sin(22°)

sin(119°)≈2.14154

a=b sinα

sinβ=12·sin(48°)

sin(42°)≈13.32735

Step-by-step explanation:

I think this is correct but i am most likely wrong, Im not that great at math

Answer:

( SOLVE FOR h )

Step-by-step explanation:

THE FORMULA:

a = b [tex]\frac{sin A}{sin B}[/tex]

---------

b = 12

sin a = 48

sin B = 42

--------

12 × [tex]\frac{sin 48}{sin 42}[/tex]

ANSWER =

h = 13.33

----------------------------------------

SOLVE FOR x AND y

I'M NOT SURE.......

x = 2.14

b = 5

bryson collects data on the depth of a river at various points and the velocity of the river at those points. his data has a correction coefficient of -0.94. which scatterplot represents brysons data ?

Answers

The scatterplot that represents Bryson's data is the scatterplot that is downward sloping.

What is negative correlation?

Correlation is a statistical measure used to measure the relationship that exists between two variables.

Negative correlation means that the two variables move in opposite directions. If one variable increases, the other variable decreases. When there is a negative correlation, the graph of the variables is downward sloping

Please find attached the graph representing the negative correlation. To learn more about negative correlation, please check: https://brainly.com/question/14436361

You want to reduce your daily calorie consumption by about 9%. You currently consume about 2100 calories per day. Use mental math to estimate the number of calories you should consume in one week to meet your goal.

Answers

Answer:

13,377 in one week

Step-by-step explanation:

2100*0.09=189

2100-189=1911

1911*7=13,377

~hope this helps~

To meet your goal, you should consume 13377 calories in one week.

What is a percentage?

Percentage refers to a number that is "out of one hundred." As with fractions and decimals, percentages are used in mathematics to represent subsets of a whole.

Given,

you currently consume about 2100 calories per day.

You want to reduce your daily calorie consumption by about 9%.

That means,

9% of 2100

= 9 x 2100 / 100

= 189 calories

To find the number of calories you should consume in one week to meet your goal:

Multiply by 7 to reduced consumption in one day.

7 x 189

= 1323 calories.

Now, subtraction;

One week of consumption - reduced consumption

= (2100 x 7) - 1323

= 13377

Therefore, in one week you should consume 13377 calories.

To learn more about the percentage;

brainly.com/question/24159063

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Is -6,-3 a solution to 2x-9y=15

Answers

Answer:  Yes

Step-by-step explanation:

Assuming that (-6, -3) is a coordinate, you just plug in the x and y values. When doing this you multiply 2 * - 6 and add that to -9 * -3This gives you -12 + 27 = 15This gives you 15 = 1515 is equal to 15 therefore, this is a solution to the problem.

I hope this makes sense!  : )

alice has take a job with a starting teacher salary of $50,180 an annual raises of $1750 what will be her salary during her fifth year of the job

Answers

Answer:

$58,930

Step-by-step explanation:

y=mx+b

starting value (b) = $50,180

rate of increase (m) = 1750

number of years (x) = 5

y= (1750)(5) + 50180

y= 8750 + 50180

y= 58930

If y = -5 when x = 2, find y when x = 8.

Answers

Answer:

Y= -20

Step-by-step explanation:

if y=-5 when x=2 find y when x=8

8 /2 = 4

=> x = 2 * 4 => x = 8 Answer

y = -5 * 4 =>

y= -20

A triangular banner is to be made according to the specifications in the figure shown, with dimensions given in inches.

image

Wooden sticks will be used to outline the perimeter of the banner in order to attach the interior material.

How many inches of wooden sticks will be required?

Answers

The inches of wooden stick required to outline the perimeter of the banner in order to attach the interior material is 42 inches.

Perimeter of a triangle

The perimeter of a triangle is the sum of the whole three sides.

Therefore, the perimeter of the triangle can be found by adding the whole sides of the triangle.

The remaining sides of the triangle can be found using Pythagoras theorem.

c² = a² + b²

where

a and b are the legsc = hypotenuse

Therefore,

a² = 13² - 5²

a² = 169 - 25

a = √144

a = 12 inches

Therefore,

b² = 15² - 12²

b² = 225 - 144

b = √81

b = 9 inches

Therefore,

perimeter = 13 + 15 + 5 + 9 = 42 inches

Therefore, the inches of wooden stick required to outline the perimeter of the banner in order to attach the interior material is 42 inches.

learn more on perimeter here: https://brainly.com/question/16096915

If f(x) = x3 + 12x2 +41x + 30 and f(-6) = 0, then find all of the zeros of
f(x) algebraically.

Answers

Answer:

-6, -5, -1

Step-by-step explanation:

Based on the question, (x+6) is a factor of f(x).

With this, you can do the long division method of dividing f(x) with (x+6) {Refer to the image}.

You'll get x²+6x+5 as a result.

Factorise it and you'll get

x²+6x+5 = (x+1)(x+5)

Then let (x+1)(x+5) = 0, x = -1, -5

Zero's of f(x) are -6, -5 -1

[tex]\text{Given that,}\\\\f(x) = x^3 +12x^2 +41x +30~~ \text{and} ~~ f(-6)=0\\\\\text{Since f(x)=0 when x = -6,}~ ~x-6 ~\text{is a factor of f(x).}\\\\x^3+12x^2+41x+30 = 0\\\\\implies x^3+6x^2+6x^2+36x+5x+30=0\\\\\implies x^2(x+6) +6x (x+6) +5(x+6)=0\\\\\implies (x+6)(x^2+6x+5)=0\\\\\implies (x+6)(x^2+5x+x+5)=0\\\\\implies (x+6)\textbf{[}x(x+5)+(x+5)\textbf{]}=0\\\\\implies (x+6)(x+1)(x+5)=0\\\\\text{Hence the roots are,}~ x = -6,~ x=-1~ \text{and}~ x = -5[/tex]

Select all the expressions whose value is larger than 100.
a. 120% of 100
b. 50% of 150
c. 150% of 50
d. 20% of 800
e. 200% of 30
f. 500% of 400
g. 1% of 1,000

Answers

Answer: A, D, F

Step-by-step explanation: A: 120 B: 75 C: 75 D: 160 E: 60 F: 2000

G: 10

The points scored by a basketball team in its last 6 games
are shown. Use these data for 7 and 8.
Which measure better describes the typical number of points scored?
Explain.
(Points scored= 73,77,85,84,37,115)

Answers

Answer:

73+78+85+84+37+115 because you will add all point scored by the last 6games =471

The radius of circle a is 6 in. the radius of circle b is 5 in. greater than the radius of circle a. the radius of circle c is 5 in. greater than the radius of circle b. the radius of circle d is 2 in. less than the radius of circle c. what is the area of each​ circle? how many times greater than the area of circle a is the area of circle d​?

Answers

Answer:

Step-by-step explanation:

why is it that when i caulate 1225*3.14 it equals 3846 but if i have the pie symbol instead of the 3.14 it turns out to be different 1225*π=3848

Answers

Answer:

[tex]\pi[/tex] is infinite. 3.14 only has three numbers.

Step-by-step explanation:

so [tex]\pi[/tex] multiplied by any number (except 0) will have infinite numbers

Answer:

See below ↓

Step-by-step explanation:

When multiplying a number by 3.14, which is the simplified version of pi, it will give a constant term. But, when multiplying by π, the actual value is equal to 22/7, and it is a non-terminating decimal. Therefore, when you multiply any number with 3.14, it will be slightly lesser than when you multiply with π.

1225 x 3.14 = 3846.51225 x π = 3848.451

Find the nth term of this number sequence
2, 4, 6, 8, ...

Answers

Answer:

As can be observed, every term in the given sequence: 2, 4, 6, 8, ..., is an even positive integer, and is, therefore, a multiple of 2:

1st term: 2 = 2(1)

2nd term: 4 = 2(2)

3rd term: 6 = 2(3)

4th term: 8 = 2(4)

Additional terms:

5th term: 10 = 2(5)

6th term: 12 = 2(6)

7th term: 14 = 2(7)

8th term: 16 = 2(8)

Therefore, using this same pattern, we see that the nth term of the given sequence is: 2n, where n is a positive integer that indicates the desired term of the sequence. For example, the 500th term of the sequence is: 2n = 2(500) = 1,000.

Notice that we add 2 to each term in order to get to the next term.

Since we use addition, we have an arithmetic sequence.

Hence, the nth term is:-

n+2

Hope it helps!

Any queries - comment !

Find the value of x


Answers

Answer:

40, or if you need it unrounded 40.3

Step-by-step explanation:

40 or 40.3

the formula is just v=b(h) you can take 15 which is our height and solve by dividing 605/15 which is 40.3, or 40 when rounded

Paul is moving to Australia. The total weight of his 4 suitcases is shown
on the scale to the right. On a number line, round the total weight to the
nearest 100 kilograms.
(this is 3rd grade math btw)

Answers

Answer:

100

Step-by-step explanation:

Because 127 rounded is to 100, as if it goes over 150 then round it to 200 , but if it goes lower than 150 then it's 100.

Can y’all help me on this graph work asap pls

Answers

Just divide one of number of tickets by which ever of the ticket prices that goes on a line, like for example $24 divided by 3 equals $8 a ticket

Find the x - Please help.

Answers

Answer:

x = 7

Step-by-step explanation:

the given angles are vertically opposite and are congruent , then

4x - 5 = x + 16 ( subtract x from both sides )

3x - 5 = 16 ( add 5 to both sides )

3x = 21 ( divide both sides by 3 )

x = 7

The population of a city is given by P(t) = Poe
-0.04t where t is time measured in years and
P0 is the population at time t=0. Assume that Po = 1,000,000.
a. Find the population when t=3.
b. During what year will the population drop below 750,000. (solve an equation, no
guess-and-check)

Answers

Answer:

  a. 885,920

  b. year 8

Step-by-step explanation:

The population at a given time is described by the exponential formula ...

  P(t) = P0·e^(-0.04t)

where P0 is given as 1,000,000.

a.

We are asked for the value of P(3). This ccan be found by substituting 3 for t in the equation and evaluating the numerical expression.

  P(3) = 1,000,000·e^(-0.04·3) = 1,000,000·e^(-0.12)

  P(3) ≈ 886,920

The population when t=3 is about 886,920.

__

b.

We can put the given numbers in the equation and solve for t.

  750,000 = 1,000,000·e^(-0.04t)

  0.75 = e^(-0.04t) . . . . . divide by 1,000,000

  ln(0.75) = -0.04t . . . . . take the natural log

  -ln(0.75)/0.04 = t ≈ 7.192

The population will drop below 750,000 in year 8.

_____

Additional comment

These values can be confirmed by a graphing calculator.

Note that "year 1" is the year between t=0 and t=1. So, "year 8" is the year between t=7 and t=8.

Solve for the area of the shape below. Don't forget
your units!!
13 in
9in
7in
18in
Area:

Answers

Answer:

63in^2

Step-by-step explanation:

base=18in

height=7in

Area=b*h*1/2

=18*7*1/2

=63in^2

Lana does yard work. The information below shows the approximate time for each job:
Mow small lawn - 1/2hr
Mow large lawn - 3/4hr
Tidy yard - 1 1/2hr
Plant annuals - 2 1/2hrs
For one Saturday, Lana needs to mow 3 small lawns, mow 1 large lawn, tidy 2 yards, and plant annuals once. She needs travel time between jobs, and a break for lunch. Do you think she will be able to complete all of the jobs in one day? Justify your answer.

Answers

Answer:

No, not enough time

Step-by-step explanation:

Time to complete each of jobs

1/2 * 3 = 1 1/2 hrs3/4 * 1 = 3/4 hr1 1/2 * 2 = 3 hrs2 1/2 * 1 = 2 1/2 hrs

Total time at job

1 1/2 + 3/4 + 3 + 2 1/2 = 7 3/4 hrs

If the work day lasts for 8 hours, then Lana has only 1/4 hr to travel between jobs and a lunch break.  

This time is not sufficient so she can't complete all the jobs.

Answer:

No (see explanation below)

Step-by-step explanation:

Approximate times to carry out each job:

Mow small lawn = 1/2 hrMow large lawn = 3/4 hrTidy yard = 1 1/2 hrPlant annuals = 2 1/2 hrs

For one Saturday, Lana needs to:

mow 3 small lawnsmow 1 large lawntidy 2 yardsplant annuals once

Therefore, the total time for the jobs is:

[tex]\begin{aligned}\sf Total\:time & = \sf 3\:small\:lawns+1\:large\:lawn+2\:tidy\:yards+1\:plant\:annuals\\\\& = \sf 3 \cdot \dfrac{1}{2}+\dfrac{3}{4}+2 \cdot 1 \frac{1}{2}+2\frac{1}{2}\\\\& = \sf 1 \frac{1}{2}+\dfrac{3}{4}+3+2\frac{1}{2}\\\\& =\sf 7 \frac{3}{4}\: hours\end{aligned}[/tex]

The likelihood of Lana being able to complete all the jobs in one day is dependent on how far she needs to travel between jobs and how long she wishes to break for lunch.  A typical working day is around 8 hours. Therefore, unless Lana wishes to work for a longer day, it is unlikely she will be able to complete all of the jobs in one day as there is only 15 minutes available for traveling and lunch, which is likely not enough.

Solve for x (literal equations)
C=b-bx

Answers

Answer:

X= (-c+b)÷b

or

X= -b×(c-b)

Step-by-step explanation:

C=b-bx

b-bx=c

-bx= c-b

-x=(c-b)÷b

x= -(c-b)÷b

or

-x= b×(c-b)

x= -b×(c-b)

Other Questions
Please help with this and how to solve it. A basket contains the following pieces of fruit: 3 apples, 4 oranges, 4 bananas, 2 pears, and 3 peaches. Jonas picks a fruit at random and does not replace it. Then Beth picks a fruit at random. What is the probability that Jonas gets an orange and Beth gets a peach? the base of this soild crate has an area of 6 squads meters the height of the crate is 4 meters what is the volume of the crate Order the numbers from least to greatest.13/5022%0.281/50.41 Can a machine multiply both force and speed at same time?? Three civil rights leaders were murdered during a voter registration campaign in Mississippi known as the what long term impact did the result of the Korean War have on the United States, foreign and military policy ? why America is jealous of China growth helppppppppppppppppppppppppppp write one paragraph with a minimum of five sentences speech about high school is the best time of my life Which WPA American artist worked in Harlem and called his style Dynamic Cubism which reinterpreted African art in his own way?a. Jacob Lawrenceb. Henry Moorec. Barbara Hepworthd. Archibald Motley Which of the following is not an example of skill-related fitness? a. reaction time b. balance c. flexibility d. coordination please select the best answer from the choices provided. a b c d 1. What is the of the combined rectangles below? Please help with algebra Stephan cuts a 50-yard ribbon. One piece is 7 yards longer than the other. What is the length of each piece? Let g: R+R+ be defined by g(x) = x2 +1. Determine the domain, co-domain and range of g. Find the exact area of the shaded region. The sum of two numbers are 21the second number is six times the first numberwhat are the two numbers on a linear graph, the rate of change is called the ____ of a line