Select the correct answer.
What is the corresponding point on the unit circle for the given radian measure?

Select The Correct Answer.What Is The Corresponding Point On The Unit Circle For The Given Radian Measure?

Answers

Answer 1

Answer: A. -sqrt (3)/2, 1/2

To get from radians to degrees, you replace the pi symbol with 180° and solve

So, (5 • 180) / 6 = 150°

150° makes a 30° angle, as the nearest x axis is the negative x axis at 180°.

As we know, a 30°, 60°, 90° triangle has sides sqrt(3)/2 and 1/2.

Since the 30° angle is on the x axis, sqrt(3)/2 will be the x value and 1/2 will be the y value. And since the triangle is in the negative x, positive y quadrant, 1/2 will be positive and sqrt(3)/2 will be negative. Giving you (-sqrt(3)/2, 1/2)


Related Questions

What is the value of the expression -3(3+2)

Answers

Answer:

-15

Step-by-step explanation:

What’s the answer helpppp

Answers

Answer:

the answer would be the second one

Answer:

Second choice

Step-by-step explanation:

18=2x9

9=3^2

X^7=(x)x^6)

root 18x^7

=3x^3root 2x

5x5x5x5x5x5+ 10-2x10x20

Answers

Answer:

15,235

Step-by-step explanation:

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bit.[tex]^{}[/tex]ly/3a8Nt8n

Can someone please help me I will mark u brilliant

Answers

168 I think but I’m not sure

Answer: The answer is 84 cubic feet.

Step-by-step explanation:

V= l*w*h

V=14*12*1/2

V= 84

Birth control pills have a theoretical annual efficacy of 99.5%, but a real-worls efficacy of only 95%. If a college student takes the pill for the four years she is in college, what is the probability that she will become pregnant at least once using the real world efficacy rate?

A. 0

B. 0.005

C. 0.020

D. 0.185

Answers

Answer: In my opinion B. 0.005 is the correct answer

Step-by-step explanation:

hope it help you

Which system of equations has a solution of (-2,0,1)

Answers

The system of the equations that has a solution of (-2, 0, 1) will be x + y + z = -1, x + y + 2z = 0, and x + 2y + 3z = 1.

What is the linear system?

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

The system of the equations that has a solution of (-2, 0, 1) will be

Let the number of variables be x, y, and z.

Then we have

Then the first equation will be

x + y + z = -1

Then the second equation will be

x + y + 2z = 0

Then the third equation will be

x + 2y + 3z = 1

More about the linear system link is given below.

https://brainly.com/question/20379472

#SPJ1

Mopeds (small motorcycles with an engine capacity below 50 cm^3) are very popular in Europe because of their mobility, ease of operation, and low cost. Suppose the maximum speed of a moped is normally distributed with mean value 46.8 km/h and standard deviation 1.75 km/h. Consider randomly selecting a single such moped.

Required:
a. What is the probability that maximum speed is at most 49 km/h?
b. What is the probability that maximum speed is at least 48 km/h?
c. What is the probability that maximum speed differs from the mean value by at most 2.5 standard deviations?

Answers

Answer:

a) 0.1038 = 10.38% probability that maximum speed is at most 49 km/h

b) 0.2451 = 24.51% probability that maximum speed is at least 48 km/h

c) 0.9876 = 98.76% probability that maximum speed differs from the mean value by at most 2.5 standard deviations

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean value 46.8 km/h and standard deviation 1.75 km/h.

This means that [tex]\mu = 46.8, \sigma = 1.75[/tex]

a. What is the probability that maximum speed is at most 49 km/h?

This is the pvalue of Z when X = 49. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{49 - 46.8}{1.75}[/tex]

[tex]Z = 1.26[/tex]

[tex]Z = 1.26[/tex] has a pvalue of 0.8962

1 - 0.8962 = 0.1038

0.1038 = 10.38% probability that maximum speed is at most 49 km/h.

b. What is the probability that maximum speed is at least 48 km/h?

This is 1 subtracted by the pvalue of Z when X = 48. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{48 - 46.8}{1.75}[/tex]

[tex]Z = 0.69[/tex]

[tex]Z = 0.69[/tex] has a pvalue of 0.7549

1 - 0.7549 = 0.2451

0.2451 = 24.51% probability that maximum speed is at least 48 km/h.

c. What is the probability that maximum speed differs from the mean value by at most 2.5 standard deviations?

Zscores between Z = -2.5 and Z = 2.5, which is the pvalue of Z = 2.5 subtracted by the pvalue of Z = -2.5

Z = 2.5 has a pvalue of 0.9938

Z = -2.5 has a pvalue of 0.0062

0.9938 - 0.0062 = 0.9876

0.9876 = 98.76% probability that maximum speed differs from the mean value by at most 2.5 standard deviations

Find the missing side lengths. Leave your answers as radicals in simplest form.

Answers

9514 1404 393

Answer:

x = 18y = 9

Step-by-step explanation:

The ratios of side lengths in a 30°-60°-90° triangle are ...

  1 : √3 : 2

In the same order, the given side lengths are ...

  y : 9√3 : x

Comparing these two sets of ratios, we see that we can make the first equal to the second by multiplying by 9:

  9(1) : 9√3 : 9(2) = y : 9√3 : x

Then y = 9·1 = 9, and x = 9·2 = 18.

The missing side lengths are x = 18, y = 9.

Find the volume of the cylinder. Find the volume of a cylinder with the same radius and double the height.
The radius is 8 and the height is 3

Answers

Answer:

Rounded to the nearest hundredth, the volume of the cylinder is 603.19.

Step-by-step explanation:

There really isn't an explanation to this, so my apologies if you need one.

I hope I helped you, and a "Brainliest" is always appreciated! ☺

9514 1404 393

Answer:

192π ≈ 603.19 cubic units384π ≈ 1206.37 cubic units

Step-by-step explanation:

The volume of a cylinder is given by the formula ...

  V = πr²h

For the given radius and height, the volume is ...

  V = π(8)²(3) = 192π ≈ 603.19 . . . . cubic units

When the height is doubled, the volume is doubled:

  V = π(8)²(6) = 384π ≈ 1206.37 . . . . cubic units

The length of a rectangle is 20 meters and the width is 4 meters. What is the perimeter of the rectangle? Do not include units in your answer

Answers

Answer:

48

Step-by-step explanation:

Which of the following is not true when using the confidence interval method for testing a claim about μ when σ is​ unknown? Choose the correct answer below. A. The​ P-value method and the classical method are not equivalent to the confidence interval method in that they may yield different results. B. The​ P-value method, the traditional​ method, and the confidence interval method are equivalent and yield the same results. C. For a​ two-tailed hypothesis test with a 0.05 significance​ level, one must construct a​ 95% confidence interval. D. For a​ one-tailed hypothesis test with a 0.05 significance​ level, one must construct a​ 90% confidence interval.

Answers

Answer:

The​ P-value method and the classical method are not equivalent to the confidence interval method in that they may yield different results ( A )

Step-by-step explanation:

The False statement about using the confidence interval method when testing a claim about  μ when  σ is​ unknown is ; The​ P-value method and the classical method are not equivalent to the confidence interval method in that they may yield different results

This is because sometimes the values gotten from the p-value and confidence interval differs and this occurs mostly when the sample size is very small.

A snow storm hit Sanford with 7 inches of snow in 28
hours. What was the rate of the snowfall in inches per
hour?

Answers

Answer:

.25 in per hour

Step-by-step explanation:

you just divide 28/7 and you get the per hour and you can double check your work by doing .25 * any hour until you get 28

Answer:

it will be 4 inches per hour

Step-by-step explanation:

to find unit rate you will divide 28 and 7 and will get 4  

Which of these expressions are equivalent to [tex]\frac{p}{3}[/tex]
A. [tex]p-\frac{2}{3} p[/tex]
B.[tex]\frac{1}{3}p[/tex]
C.[tex]p-3[/tex]
D. 3 ÷ p
E. [tex]\frac{3p}{9}[/tex]
F. [tex]\frac{1}{3}p + \frac{1}{3}p + \frac{1}{3}p[/tex]

Answers

Answer:

whaaaaaattttt                        

Step-by-step explanation:

.................................... i think c or f

Write the equation that results from transmitting the absolute value equation down 4. Y=|x|

Answers

Answer:

y = |x| - 4

Step-by-step explanation:

this translates the function y down by 4 as is required

Find ? (inscribed angle)

Answers

9514 1404 393

Answer:

  90°

Step-by-step explanation:

The inscribed angle is half the measure of the arc it subtends. A semicircle is an arc of 180°. Half that is 90°.

  ? = 90°

Fill in the missing parts. Then determine which bowl contains more sodium.

Soup A

Sodium(mg) 720
Ounces 6 1
Soup B

Sodium(mg) 600
Ounces 4 1
Which bowl contains more sodium per ounce? ( A or B)

Answers

Answer:

Soup B

Step-by-step explanation:

Given :

Soup A:

Sodium(mg) 720

Ounces 6 1

Soup B :

Sodium(mg) 600

Ounces 4 1

To Obtian the amount of sodium per ounce in each of soup A and B

Soup A :

Sodium per ounce = 720 mg / 61 = 11.803 mg / ounce

Soup B:

Sodium per ounce = 600 mg / 41 = 14.634mg / ounce

Hence. SOUP B contains more soudiun per ounce

LCM OF (2^3×3×5) and (3×5) is



(a)8
(b)120
(c)40
(d)180​

Answers

Answer:

120

Step-by-step explanation:

2³* 3 * 5

3*5

LCM = 2³ * 3 * 5 = 8 * 3 * 5 = 120

Need help fast!! Need steps also

Answers

Answer:

arc AB = 3.14 in

Step-by-step explanation:

circumference of full circle = π2r = (3.14)(2)(6) = 37.68 in

arc AB = (30°/360°)(37.68) = 3.14 in

What would been the volume?

Answers

Answer:

Multiply 43x15x5

Step-by-step explanation:

length x whight x hight

what is the slope of the line that passes through the points (5,3) and (-4,1)

Answers

Answer:

x = 1

y . =2

slope =

[tex]\frac{y}{x} \\\\\frac{2}{1} \\\\Slope = 2[/tex]

Step-by-step explanation:

Madison was given a large box of 48 chocolates for her birthday. If she eats exactly 5
chocolates each day, how many chocolates would Madison have remaining 5 days
after her birthday?

Answers

Answer:

The answer is 23 chocolates

Step-by-step explanation:

You do 5 times 5 for her eating 5 chocolates a day for 5 days to get 25 and then you take 48 and subtract it by 25 and you get 23

How many 10ths equivalent to 3/5

Answers

Answer: 6 tenths

Step-by-step explanation:

3/5 = 6/10 (multiply by 2)

Please help me with this ASAP ASAP please please help

Answers

Answer:

Step-by-step explanation:

Base perimeter : 4 x 2 x π = 8π cm

LA = 8π x 4 = 32π cm^2

Base area: 4^2 π = 16π cm^2

SA = 2 x 16π + 32 = 64π cm^2

V = 16π x 4 = 64π cm^3

In triangle ABC, the measure of angle B is 50 degrees.

Give possible values for the measures of angles A and C if ABC is an acute triangle.

Answers

sup do you have the photo of your hw?

Classify the angle pair using all names that apply

Answers

Answer:

Adjacent

Step-by-step explanation:

∠3 and ∠4 share a common vertex & arm

a large chocolate bar has a base area of 49.47 square feet and its length is 0.5 foot shorter than twice its width find the length and the width of the bar

Answers

Step-by-step explanation:

Okay try doing one side will be equal to length or one of those..L×W×H

answer and show proof for brainliest

Answers

i'm confused don't all of them explain pls

Answer:

The answer is A

Step-by-step explanation:

A closed circle means the number is included in the equation / solution. An open circle means it is not. The problem says greater than or equal to 36 inches tall which means that circle should be closed. And less than 48 inches. It does not say anything about being equal when it states the 48 inches so that one should be open.

Is this linear, exponential growth, exponential decay, or neither?​​

Answers

Answer:

Linear Exponential Decay.

Step-by-step explanation:

It is linear exponential decay,

it is decreasing by -7,

everytime x goes up 1, y goes down -7,

this line has a slope of -7/1.

Slope: -7x

y-intercept: (0,2)

find length of side (x)

Answers

Answer:

choice D) x = 6.6

Step-by-step explanation:

sin 27° = 3/x

0.4540 = 3/x

x = 6.6

Sophie invested $93,000 in an account paying an interest rate of 5.6% compounded quarterly. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $170,500?

Answers

Answer:

11

Step-by-step explanation:

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