Answers
EXPLANATION:
To convert degrees to radians, multiply by π / 180 °
since a full circle is 360° or 2π radians.
240°⋅π / 180° radians
Cancel the common factor of 60
4 × π / 3 radians
Combine 4 and π / 3.
4π / 3 radians
HOPE ITS HELPS !!!!!
The coordinates of the points on unit circle at the given angle 240 degrees is[tex](\frac{-1}{2} ,\frac{-\sqrt{3} }{2} )[/tex]
The formula for calculating Radians is:
[tex]radians= (degrees)[/tex]×[tex]\frac{\pi }{180}[/tex]
Formula for calculating coordinates of point (x, y) on circle:x=rcosθ
y=rsinθ (where r is the radius of circle for unit circle r=1)
According to the question
we have
θ = 240 degrees and, r =1
so, 240 degrees = 240×[tex]\frac{\pi }{180}[/tex]
⇒240 degrees = [tex]\frac{4\pi }{3}[/tex] (in radians)
Therefore, the coordinates of the points on unit circle at angle [tex]\frac{4\pi }{3}[/tex] is calculated as
[tex]x=(1)cos\frac{4\pi }{3}[/tex] (for unit circle r=1)
[tex]x=\frac{-1}{2}[/tex]
And,
[tex]y=(1)sin\frac{4\pi }{3}[/tex] (for unit circle r=1)
[tex]y=\frac{-\sqrt{3} }{2}[/tex]
Hence, the coordinates of the point on unit circle at angle 240 degrees is [tex](\frac{-1}{2} ,\frac{-\sqrt{3} }{2} )[/tex]
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Related Questions
If the farmer has 164 feet of fencing, what is the largest area the farmer can enclose?
Answers
Answer:
it is 41 because you would divide 164 by 4 and get 41
The area which will cover the 164 feet of fencing in form of a square is 1681 square feet.
What is surface area?The quantity of space enclosing a three-dimensional shape's exterior is its surface area.
If we say side square then it is an area of the square but for a cuboid, there are 6 faces so the surface area will be external to all 6 surfaces area.
Length of fencing = 164 feet
Let's suppose this fencing is covered outside of a square with side "a".
The perimeter of the square = 4a
4a = 164
a = 41
Now the area of the square is a².
Therefore,41² = 1681 square feet.
Hence "The area which will cover the 164 feet of fencing in form of a square is 1681 square feet".
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Find the median of the data in the box plot below.
problems
Number of math problems
assigned by Ms. O'Brien
HH
0 2 4 6 8
HHHHH
14 16
20
10
12
18.
What is the median?
Answers
Answer:
median = 11
Step-by-step explanation:
The median is represented by the vertical line inside the boxplot
That is the median = 11
Answer:
11
Step-by-step explanation:
Where the line is ,it's at 11.
Also i got it correct on khan
Question
If
f(x) = ax + 6,
where a is a constant, and f(2) = 8, calculate a.
Provide your answer below:
Answers
Answer:
1
Step-by-step explanation:
f(x) = a(2) + 6 = 2a + 6
Given f(2) = 8
so 2a + 6 = 8
2a = 8 - 6 = 2
so a = 1
find the value of x 22,27
Answers
pls answer this all pls ASAP
Answers
1. How long it will take Mrs.Acre to clean
2. She begins at 9:10 am and goes home at 9:55 p.m
3. Addition
4. It’s going by 5
5. 45 minutes
Hope this helps!
- Bambi
Radioactive isotope Carbon-14 decays at a rate proportional to the amount present. If the decay rate is 12.10% per thousand years and the current mass is 135.2 mg, what will the mass be 2.2 thousand years from now?
Answers
Using an exponential function, it is found that the mass 2.2 thousand years from now will be of 103.6 mg.
What is an exponential function?It is modeled by:
[tex]A(t) = A(0)e^{-k\frac{t}{n}}[/tex]
In which:
A(0) is the initial value.k is the decay rate per n years.In this problem:
The decay rate is 12.10% per thousand years, hence k = 0.121, n = 1000.The current mass is 135.2 mg, hence A(0) = 135.2.Then:
[tex]A(t) = A(0)e^{-k\frac{t}{n}}[/tex]
[tex]A(t) = 135.2e^{-0.121\frac{t}{1000}}[/tex]
The mass 2.2 thousand years from now will be given by:
[tex]A(2200) = 135.2e^{-0.121\frac{2200}{1000}} = 103.6[/tex]
The mass 2.2 thousand years from now will be of 103.6 mg.
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What is the y- intercept of the line. y + 11 = -2(x + 1.5)?
Answers
Answer:
(0, -14)
Step-by-step explanation:
How many arrangements can be formed using the letters in the word FILIBUSTER?
Answers
is 40 000 less than 43 987
Answers
Answer:
Of course.
Step-by-step explanation:
Hope it helps you:)
What is the multiplicative inverse of 1/4
Answers
Answer:
4
Step-by-step explanation:
To make a unit fraction, say 1⁄4 to 1, we need to add it 4 times. Or in other words, multiply 1⁄4 by 4. Thus, the multiplicative inverse of 1⁄4 is 4.
Hope this helps
Answer:
4
Step-by-step explanation:
To make a unit fraction, say 1⁄4 to 1, we need to add it 4 times. Or in other words, multiply 1⁄4 by 4. Thus, the multiplicative inverse of 1⁄4 is 4.
Please help!!
Combinations
For f(x) = 5x and g(x) = x + 1,
find the following functions.
a. (fog)(x)=
b. (gof)(x)=
c. (fog)(3)=
d. (gof)(3)=
a. (fog)(x)=
(Simplify your answer.)
Answers
Answer 1:
[tex]f\left(x\right)o\left(x\right)=5x^2+5x[/tex]
Answer 2:
[tex]g\left(x\right)o\left(x\right)=x^2+2x+1[/tex]
Answer 3:
[tex]f\left(3\right)o\left(3\right)=60[/tex]
Answer 4:
[tex]g\left(3\right)o\left(3\right)=16[/tex]
I hope this helps you
:)
Can someone help me I need help
Answers
Answer:
thanks
Step-by-step explanation:
for 5 poinvf67t4
(-3x) – (-5) = (-2) + (-2x)
=
Draw a picture.
Explain the step.
Write the equation.
Answers
Answer:
Easy to solve.
X=7
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
please help me i need it i will give brainliest
Answers
Answer: 3m + 1 - m
plzz mark brainliest ;)
Find the reference angle for a rotation of 347°
Answers
The Refernce angle is 13
Step-by-step explanation:
For example imange a coordinate plane lets say we want to draw an angle thats 144° We start on the right side of the x-axis, where three o’clock is on a clock. We rotate counterclockwise, which starts by moving up. We keep going past the 90° point (the top part of the y-axis) until we get to 144°. hope this helps!
I WILL GIVE BRAINLEST! PLEASE HELP!
On your graph paper, create a coordinate plane with axes and label the origin as O.
Place your compass on the origin, and open the compass to a radius that is equal to your favorite number. Construct a circle. You can add shading detail to start to make the circle appear like a sphere if you would like.
Label the radius value.
Using this radius value, calculate the volume of your sphere using the formula
Radius = _________
Work Space: Show all work and include the final volume. Volume = 4/3 π r3
Answers
Answer:
radius 2.7
Step-by-step explanation:
2.7 on the axes
Answer:
Step-by-step explanation:
Radius = 5
Volume = 4/3 π r3
= 4/3 (3.14) 5^3
= 523.33
If x = 8, how much more wallpaper will Tara need for the living room than the bedroom?
Answers
Answer:
sorry theres not enough information to tell.
Step-by-step explanation:
:(
Lashonda runs 12 miles in 92 minutes.
How many miles does she run per minute?
Answers
The sum of two consecutive numbers is
thirty-five, what are the numbers?
Answers
Answer:
17 and 18
Step-by-step explanation:
divide 35 by 2 and u get 17.5, this is in between 17 and 18 so that's why they are they consecutive numbers.
one number is 2 more than another. the difference between their squares is 60 what are the numbers
Answers
So: x^2 + 4x + 4 - x^2 = 60
PLZ HELP ty :) ur kind person ty
Answers
Answer:
True
Step-by-step explanation:
10. Multi-Step The paleontologist measures the fossils again and finds two errors. Two fossils with a length of 7.9 centimeters instead measure 8.1 and 8.2 centimeters. Which two numbers will have the same number of dots? A) 7.8 and 7.9 (В 8.0 and 8.2 © 7.8 and 8.1 D 7.9 and 8.1
Answers
The two numbers on the dot plot that will have the same number of dots would be: B. 8.0 and 8.2.
What is a Dot Plot?A dot plot can be described as a simple form of data visualization that shows the frequency at which each data points in the data set occurs, which are plotted as dots.
The data set of the measures of the fossils taken by the paleontologist include the following data points and the frequency at which they occur and how they are represented on a dot plot:
7.8 - 5 times (5 dots)7.9 - 6 times (6 dots)8.0 - 0 times (0 dot)8.1 - 3 times (3 dots)8.2 - 1 times (1 dot)We are told that the paleontologist found two errors, where a length of two fossils that measure 7.9 are recorded as 8.1 and 8.2.
Therefore, if the correct measures are used to draft a new dot plot, we would have the following data points and number of dots representing the correct frequency of each measures:
7.8 - 5 times (5 dots)7.9 - 8 times (8 dots)8.0 - 0 times (0 dot)8.1 - 2 times (2 dots)8.2 - 0 times (0 dot)Therefore, the two numbers on the dot plot that will have the same number of dots would be: B. 8.0 and 8.2.
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Helppp meeee !!
!!
!!
Answers
Answer:
no
Step-by-step explanation:
3^3=27
so 3^3+3^3+3^3=27+27+27=81
3^9=19683
Answer:
No it's not same because we cannot add degrees. 3^9 is much greater than 3^3+3^3+3^3.
27+27+27≠ 19, 683
81≠19,683
Pls mark me brainliest
Step-by-step explanation:
Maya works mowing lawns and babysitting. She earns $8.60 an hour for mowing and $7.80 an hour for babysitting.
for 1 hour of mowing and 5 hours of babysitting
Answers
Answer:
total of 46.6 dollars
Step-by-step explanation:
8.60x1= 8.60
5x7.80= 39
Wool Inc. also sells wool so that crafters can use their signature wool to create their own products at home. Wool Inc. produces three joint products from raw wool. At the split-off point, three basic products emerge: red wool, blue wool, and yellow wool. Each of these products can be either sold at the split-off point or processed further. If they are processed further, the resulting products can be sold to high-end crafters as a premium product. Cost and revenue information is as follows. Sales Value and Additional Costs If Proce ssed Further Pounds Produced Sales Value at Split-Off Final Sales Value Additional Further Processing Cost Red Wool 10,000 $110,000 $200,000 $50,000 Blue Wool 5,000 100,000 180,000 60,000 Yellow Wool 3,000 90,000 110,000 21,000 Required: a. Which products should Wool Inc. process beyond the split-off point? b. At what price per pound would it be advantageous for Wool Inc. to sell blue wool at the split-off point rather than process it further?
Answers
a. Wool Inc. should process further Red Wool and Blue Wool.
b. Wool Inc. can sell Blue Wool at the split-off point at $24 per unit ($120,000/5,000) without further processing, instead of selling at $36 per unit ($180,000/5,000) after further processing.
What is the split-off point?The split-off point is the processing point when joint products can be further processed separately.
At the split-off point, the costs of the joint products can be identified separately.
Data and Calculations:Sales Value and Additional Costs If Processed Further:
Pounds Sales Value Final Sales Further Profit from
Produced at Split-Off Value Processing Further
Cost Processing
Red Wool 10,000 $110,000 $200,000 $50,000 $40,000
Blue Wool 5,000 100,000 180,000 60,000 20,000
Yellow Wool 3,000 90,000 110,000 21,000 -1,000
Thus, the profits from further processing are computed as the Final Sales Value minus Further Processing Cost minus Sales Value at the Split-off point.
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John is making a friendship bracelet with 6 different colors of thread. He uses 22 inches of each color. How many feet of thread does he use in all?
Answers
Answer:
132 inches of string in total
Step-by-step explanation:
since he uses 22 inches of each color and he has 6 colors what you have to do is multiply 22 by 6 and you get 132
a company claims that their new bottle holds 25% more laundry soap. if their original container held 53 fluid ounces of soap. how much does the new container hold
Answers
Answer:
how do star appear to move in night sky
What is the solution for the equation?
a+8/3=2/3
1.a=-10/3
2.a=-2
3.a=2
4.a=10/3
Answers
Answer:
2 is the answer of the question
Which lines or segments are parallel? Justify your answer.
Answers
Answer:
CA || HR
CM || HA
Step-by-step explanation:
the triangles are the same
• Line CA & line HR are parallel
4a + 5b – 6c = 2
Find the value of a for-3a - 2b + 7c = –15.
-a + 4b + 2c = -13
A. -3
B. -2
C. -1
D. -4
Answers
9514 1404 393
Answer:
A. -3
Step-by-step explanation:
The reduced row echelon form* of ...
[tex]\left[\begin{array}{ccc|c}4&5&-6&2\\-3&-2&7&-15\\-1&4&2&-13\end{array}\right][/tex]
is ...
[tex]\left[\begin{array}{ccc|c}1&0&0&-3\\0&1&0&-2\\0&0&1&-4\end{array}\right][/tex]
which tells you the value of 'a' is -3.
_____
* Many scientific and/or graphing calculators and web sites can find the reduced row echelon form of a matrix for you. Or, for a single variable (such as 'a'), you can use Cramer's rule. That requires you compute two 3×3 matrix determinants. Again, there are many calculators, apps, and web sites that will make this calculation for you.
[tex]a=\dfrac{\left|\begin{array}{ccc}2&5&-6\\-15&-2&7\\-13&4&2\end{array}\right| }{\left|\begin{array}{ccc}4&5&-6\\-3&-2&7\\-1&4&2\end{array}\right|}=\dfrac{147}{-49}=-3[/tex]