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[tex]x = r \cos(theta) [/tex]
[tex]y = \sin(theta) [/tex]
and the polar coordinates are in the form
note: the dot is a substitute for the comma
[tex](r.theta)[/tex]
so to find our coordinates we just need to plug our values of theta in
[tex]x = \cos( \frac{2\pi}{3} ) [/tex]
[tex]y = \sin( \frac{2\pi}{3} ) [/tex]
simplify and we get this as our final answer
[tex]( \frac{ - 1}{2} . \frac{ \sqrt{3} }{2} )[/tex]
Related Questions
In a game of poker 5 cards are drawn from a pack of 52 well shuffled cards. find the probability that at least one ace is drawn
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1. If 9 students sharpen 18 pencils in 2 minutes, how many students will it take to sharpen 18 pencils in 1 minute?
A.) 2
B.) 9
C.) 18
D.) 36
2. If y varies inversely with x, and y = –16 when x = –64, what is the constant of variation?
A.) 16
B.) 64
C.) 100
D.) 1,024
3. The pair of points (3, 8) and (x, 6) are on the graph of an inverse variation. What is the missing value?
A.) 4
B.) 3
C.) -1
D.) 1,
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how many numbers are between 1 and 3 ?
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The number of assists per match for the setter on your school's volleyball team has a mean of 58 and a standard deviation of 7. If in the last game he made 77 assists, how many standard deviations is that from the mean?
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z-score is given by
z=(x-μ)/σ
where:
μ-mean
σ-standard deviation
thus the value of z from the information above is:
x=77
μ=58
σ=7
z=(77-58)/7=2.7143
Someone please help me
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What is the distance between the points (5, 7) and (-3, 4) on the coordinate plane?
Answers
Answer:
Option B [tex]8.54\ units[/tex]
Step-by-step explanation:
we know that
the formula to calculate the distance between two points is equal to
[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]
Let
[tex]A(5,7)\\E(-3.4)[/tex]
substitute the values
[tex]dAB=\sqrt{(4-7)^{2}+(-3-5)^{2}}[/tex]
[tex]dAB=\sqrt{(-3^{2}+(-8)^{2}}[/tex]
[tex]dAB=\sqrt{73}=8.54\ units[/tex]
Find the measure of the supplement of the angle.
Answers
So to find this one
180 - 37.6 = 142.4
m<B = 37.6
then
180 - 37.6 = 142.4
answer
A. 142.4
Why does an enzyme function as a catalyst in a reaction?
A. It maintains the proper temperature needed for the reaction.
B. It decreases the amount of energy needed for the reaction.
C. It creates the right pH needed for the reaction.
D. It provides the extra energy needed for the reaction.
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Answer: Less energy is required for the reaction so B
Step-by-step explanation:
What is the value of n?
Enter your answer in the box.
n = cm
Answers
(n)(4) = (7)(8)
4n = 56
n = 14
Answer:
n = 14 cm
Step-by-step explanation:
We are required to find the find the value of n.
Since, we have the lines are intersecting in the circle.
So, using the 'Intersecting Chord Theorem', which states that the product of the line segment formed by the intersecting lines are equal.
[tex]4\times n= 8\times 7[/tex]
i.e. [tex]4n=56[/tex]
i.e. n = [tex]\frac{56}{4}[/tex]
i.e. n = 14
Hence, the value of n is 14 cm.
Suppose you roll a special 49-sided die. what is the probability that the number rolled is a "1" or a "2"?
Answers
Final answer:
The probability of rolling a "1" or a "2" on a 49-sided die is found by adding the separate probabilities of each event, resulting in 2/49 or approximately 0.04082.
Explanation:
In probability, when you want to find the chance of one event or another occurring, you add the probabilities of each event if they cannot happen at the same time. Given a special 49-sided die, each outcome is equally likely, and every roll is an independent event. Therefore, the probability of rolling a "1" is 1 out of 49, and the probability of rolling a "2" is also 1 out of 49. To find the combined probability of rolling either a "1" or a "2", you simply add these two probabilities together.
The probability of rolling a "1" is 1/49, and the probability of rolling a "2" is 1/49. So, the combined probability (P) is:
P("1" or "2") = P("1") + P("2") = 1/49 + 1/49 = 2/49 or approximately 0.04082.
WRITE IN SIMPLEST FORM : COS INVERSE( 3/5 COS X + 4/5 SIN X ),
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Please help asap!!! 16 points
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Example: D: (5)-5 = 2((-7) + 7) leads to 0 = 0. Is that true? If so, D is likely the correct answer.
what is the sum or difference 10y^10-14y^10
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[tex]10y^{10}-14y^{10}\\\\(10-14)y^{10}\\\\-4y^{10}[/tex]
Answer:
The required solution is [tex]-4y^{10}[/tex].
Step-by-step explanation:
The given expression is
[tex]10y^{10}-14y^{10}[/tex]
Take out the common factor [tex]y^{10}[/tex] from both terms.
[tex]y^{10}(10-14)[/tex]
[tex]y^{10}(-4)[/tex]
[tex]-4y^{10}[/tex]
Therefore the required solution is [tex]-4y^{10}[/tex].
6) On a trip to his grandparents, Donny drove 60 miles per hour for 45 minutes and 50 miles per hour for 30 minutes. How many miles did Donny drive?
Answers
50 miles per hour for 30 minutes = 25 miles
Total =70 miles
Interest rates of 5%,6%,8%, earned on investments of $13,000,$12,000,$4,000. Calculate total amount of interest earned
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how Many decameters are in 13 hectometers
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Pollsters are concerned about declining levels of cooperation among persons contacted in surveys. a pollster contacts 90 people in the 18-21 age bracket and finds that 76 of them respond and 14 refuse to respond. when 297 people in the 22-29 age bracket are contacted, 262 respond and 35 refuse to respond. assume that 1 of the 387 people is randomly selected. find the probability of getting someone in the 18-21 age bracket or someone who agreed to respond. report the answer as a percent rounded to one decimal place accuracy. you need not enter the "%" symbol. prob = 23.3 incorrect%
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To find this, create a two way table.
On the top row, put the 18-21 group with the 76 responding then 14 not responding.
On the second row, put the 22-29 group with 262 responding then 35 not responding.
We are looking for people in the 18-21 group, those are the numbers 76 and 14. However, we must also include those in the older group that responded, 262.
So our fraction becomes (76 + 14 + 262 ) / 387 or 91.0%
FOR THESE 3 QUESTION I WILL GIVE 40 POINTS BRAIN LEST AND 5 STAR RATEING
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2. C is decreasing
3. Sasha did not withdraw or deposit any money
What is the ratio for the volumes of two similar cylinders, given that the ratio of their heights and radii is 3:7?
Answers
Gooday
Answer:
The ratio is [tex]\frac{27}{343}[/tex] or 27:343
Step-by-step explanation:
The volume of cylinder is = [tex]V=\pi r^{2} h[/tex] ; where r is radius and h is height.
Given that the ratio of the heights and radii of two similar cylinders is 3 : 7.
Let r' be the radius and h' be the height of the other cylinder.
Its volume is [tex]V'=\pi r'^{2} h'[/tex]
According to the given information, we have
[tex]\frac{r}{r'}=\frac{h}{h'}=\frac{3}{7}[/tex]
Hence, we get
[tex]\frac{V}{V'}=\frac{\pi r^2h}{\pi r'^2h'}[/tex]
= [tex](\frac{3}{7})^{2} \times \frac{3}{7}[/tex]
= [tex]\frac{27}{343}[/tex]
Therefore, the ratio is 27:343
Plot (−134,412) on the coordinate plane.
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We are given coordinate (-1 3/4, 4 1/2).
(-1 3/4, 4 1/2) represents x-coordinate -1 3/4.
And y-coordinate 4 1/2.
First we need to go -1 and three fourth between -1 and -2.
And then for 4 1/2, we need to got 4 above on y-axis and then a half between 4 and 5.
We would draw the coordinate of intersection of vertical line of point -1 3/4 and horizontal line at 4 1/2.
The shown green point on the graph is the coordinate (-1 3/4, 4 1/2).Answer:
I hope this helps! <3
Step-by-step explanation:
Solve the system of equations
y=3x+30
y=8x
_______________________
x= ??
y= ??
Answers
Since both equations are set equal to y, set 3x+30=8x. Subtract 3x from each side, getting 5x=30. Divide by 5, so x=6. Then, just plug in 6 for x in any of the two equations, so y=48.
y = 3x + 30
y = 8x
Since y = both the equations, we can equate them
8x = 3x + 30 {Take 3x by subtracting to the other side in order to find the value of the variable)
We do minus, when we see plus
8x - 3x = 3x - 3x + 30
3x and -3x cancels out in the right hand side
5x = 30
Divide by 5 on either side to isolate x
We do division, when we see multiplication
[tex] \frac{5x}{5} = \frac{30}{5} [/tex]
5 and 5 cancels out
x = 6
Now, we need to substitute x by 6 in order to find y
We can substitute in either equation, we will still get the same value
y = 8(6)
= 48
y = 3(6) + 30
= 18 + 30
= 48
x = 6 , y = 48
Does anybody know the answer to X
Answers
x = 52/2
x = 26
the printed matter on a 14 by 18 centimeter page of a book must covor 140 square centimeters. if all margins are to be the same width, how wide should they be?
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x----------------> width of the margin
we know that
[Area printed matter]=140
[Area printed matter]=[(14-2x)*(18-2x)]
then
[(14-2x)*(18-2x)]=140--------> (252-28x-36x+4x²)=140
(252-64x+4x²)=140----------> 4x²-64x+112=0
using a graph tool---------> I solve the quadratic equation
see the attached figure
x1=2
x2=14----------> is not solution
the answer is
the margin should be 2 cm
Circle Y is shown. What is the area of the shaded part of the circle?
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This question will employ the use of the formula for the area, A, of a sector of any circle. The formula is as:
[tex] A=\frac{\theta}{360^{\circ}}\times \pi r^2 [/tex]
Where [tex] \theta [/tex] is the angle subtended by the required sector. In our case, the sector is the shaded region and we need to find the angle of that shaded region. We know that the total angle of a circle is 360 degrees and the unshaded region subtends an angle of 75 degrees. Thus, the value of [tex] \theta [/tex] is calculated to be:
[tex] \theta=360^{\circ}-75^{\circ}=285^{\circ} [/tex]
r is the radius of the circle which in our case is 9 cm.
Thus, the area of the shaded region is:
[tex] A=\frac{285}{360}\times \pi\times 9^2=\frac{19}{24}\pi\times 81 =\frac{19\times 81}{24}\pi [/tex]
[tex] \therefore A=\frac{19\times 27}{8}\pi=\frac{x}{y} =\frac{513}{8}\pi [/tex] cm^2
Thus, Option D is the correct option.
How does a high-mass star differ from a low-mass star as both enter the final stages of their life cycle?
A. A high-mass star dies more explosively.
B. A high-mass star ends in a nova event.
C. A high-mass star ends when it runs out of hydrogen.
D. A high-mass star converts helium to carbon, whereas a low-mass star does not.,
Answers
Select the actual distances represented by the following scale distances if the map scale is 1 centimeter = 1 kilometer
23 centimeters =
a. 0.023 kilometers
b. 0.23 kilometers
c. 23 kilometers
0.5 centimeters =
a. 0.5 kilometers
b. 50 kilometers
c. 500 kilometers
9 centimeters =
a. 0.9 kilometers
b. 9 kilometers
c. 0.009,
Answers
We make the following rule of three:
1 centimeter ----> 1 kilometer
23 centimeter -> x kilometer
We clear x:
x = (23/1) * (1)
x = 23 kilometers
0.5 centimeters =
We make the following rule of three:
1 centimeter ----> 1 kilometer
0.5 centimeter -> x kilometer
We clear x:
x = (0.5 / 1) * (1)
x = 0.5 kilometers
9 centimeters =
We make the following rule of three:
1 centimeter ----> 1 kilometer
9 centimeter -> x kilometer
We clear x:
x = (9/1) * (1)
x = 9 kilometers
Answer:
c. 23 kilometers
a. 0.5 kilometers
b. 9 kilometers
Answer:
Correct options are:
c
a
b
Step-by-step explanation:
The map scale is:
1 centimeter = 1 kilometer
23 centimeters=23 kilometers
Correct option is: c
0.5 centimeters=0.5 kilometers
Correct option is: a
9 centimeters=9 kilometers
Correct option is: b
A car traveled 75% of the way from town A to town B at an average speed of 50 kmph. The car travels at an average speed of S kmph for the remaining part of the trip. The average speed for the entire trip was 40 kmph. What is S?,
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The measure of an angle is 68°. what is the measure of a complementary angle?
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26 POINTS WILL GIVE BRAINLIEST
2. Do the sides 16, 30, and 38 form a Pythagorean Triple? Explain why or why not.
3. A triangle has sides of length 10, 14, and 22. Is the triangle acute, right, or obtuse. Explain.
12. A person can see the top of a building at an angle of 42˚. The person is standing 30 ft away from the building and has an eye level of 6 ft. How tall is the building to the nearest tenth of a foot?
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3. The tiangle is acute because it has all angles smaller than 90*
12: The buillding is approximately 100 ft tall give or take. I am sorry If i am wrong on the last one
The cost of producing hard drives has three parts: cost of materials, cost of labor, and cost of equipment. To produce x hard drives, the cost of materials is 30x dollars and the cost of labor is 10x cents. The cost of equipment is a one-time, fixed amount of $10,000. Which equation could represent the cost function for making x hard drives? Answer Choices f(x)=10,030.1x f(x)=10,000x+40 f(x)=30.1x+10,000 f(x)=40x−10,000
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The first thing we need to do is convert 10 cents to dollars:
[tex]10cents( \frac{1dollar}{100cents} )=0.1dollar[/tex]. Now, we know that the the cost of materials is 30 dollars and the cost of labor is 0.1 dollars, so the total coast to produce [tex]x[/tex] hard drives will be: [tex]30+0.1=30.1x[/tex].
Now the only thing left is add the cost of equipment to complete our function:
[tex]f(x)=30.1x+10000[/tex]
We can conclude that the equation that could represent the cost function for making x hard drives is f(x)=30.1x+10,000