rotation 90 degrees counterclockwise about the origin​

Rotation 90 Degrees Counterclockwise About The Origin

Answers

Answer 1

I'm going to try my best to explain 90° rotation:

So, you know that if you rotate something 180°, it's completely flipped (think about spinning around half-way).

Or if you spin something 360°, you spin around the whole way and end up in the same spot that you did when you started.

Notice how 90 is actually 1/4 of 360.

So imagine spinning instead of 180, spinning half of that. so you barely rotate. That's exactly what you're doing to this shape here. and if you do it about the origin counterclockwise, the origin is (0,0) so I drew it in Quadrant III, as you can see in my attachment.

You can see that every point has been moved by 90°, I put all of the variables there so you could visualize it better!

I hope this helped, let me know if you have any questions! :)

Rotation 90 Degrees Counterclockwise About The Origin

Related Questions

What is the domain of the given
set of ordered pairs?
(2, 4), (5,5), (8, 6), (11, 7)

Answers

Answer:

2, 5, 8, 11

Step-by-step explanation:

The domian is the x axis points thingy

2,5,8,11
in my option this is right

What is the value of x

Answers

Answer:

52/3

Step-by-step explanation:

Use basic Thales therom,

[tex]\frac{3x}{4x}=\frac{3x+7}{5x-8}\\\\\frac{3}{4}=\frac{3x+7}{5x-8}\\[/tex]

Cross multiply,

3*(5x-8)=4*(3x+7)

3*5x - 3*8 = 4*3x + 4*7

15x - 24 = 12x +28

Add 24 to both sides

15x = 12x + 28 + 24

15x = 12x + 52

Subtract 12x from both sides

15x-12x =52

3x = 52

Divide both sides by 3

x = 52/3

One angle of a triangle is twice as large as another. The measure of the third angle is 60° more than that of the smallest angle. Find the measure of each angle.
The measure of the smallest angle is º


Please help :)

Answers

Answer:

The measure of the smallest angle is 30º

Step-by-step explanation:

Let the angles be:

[tex]x \to[/tex] the first angle (the smallest)

[tex]y \to[/tex] the second angle

[tex]z \to[/tex] the third angle

So, we have:

[tex]y = 2x[/tex]

[tex]z=x + 60[/tex]

Required

Find x

The angles in a triangle is:

[tex]x + y +z = 180[/tex]

Substitute values for y and z

[tex]x + 2x +x + 60 = 180[/tex]

[tex]4x + 60 = 180[/tex]

Collect like terms

[tex]4x = 180-60[/tex]

[tex]4x = 120[/tex]

Divide by 4

[tex]x = 30[/tex]

An 80% confidence interval is (150, 170). What is the margin of error?

Answers

Answer:

10

Step-by-step explanation:

it is what it is


The total number of students enrolled in MATH 123 this semester
is 5,780. If it increases by 0.28% for the next semester, what will
be the enrollment next semester? Round to a whole person.

Answers

Answer:

5796 people

Step-by-step explanation:

.28 percent of 5780 is 16.184 so added 5,780+16.184=5,796.184 but rounded to a whole person is 5,796!

A total of $20,000 is invested at an annual interest rate of 6%. No matter how many years this
money is invested, what is the best investment plan to earn the most money in the end?
Compounded continuously
Compounded daily

Compounded quarterly
Compounded monthly

Answers

Compounded continuously.

Given that the area of a triangle ABC is 4.5 m², a=4, b=3, find two possible measures for angle C. Round your answer to the nearest tenth

Answers

Answer:

[tex]C = 48.6[/tex]

Step-by-step explanation:

Given

[tex]Area= 4.5m^2[/tex]

[tex]a =4[/tex]

[tex]b = 3[/tex]

Required

Find angle C

The area of the triangle will be calculated using:

[tex]Area = \frac{1}{2}ab \sin C[/tex]

So, we have:

[tex]4.5= \frac{1}{2} * 4 * 3 * \sin C[/tex]

[tex]4.5= 6 * \sin C[/tex]

Divide both sides by 6

[tex]0.75= \sin C[/tex]

Take arc sin of both sides

[tex]\sin^{-1}(0.75)= C[/tex]

[tex]48.6 = C[/tex]

[tex]C = 48.6[/tex]

Give two examples of addition of two mixed numbers with different denominators
SHOW ALL STEPS

Answers

Answer:

First Example: 3 1/2 + 4 3/4, Second Example: 6 3/8 + 7 9/15

Extra Example: 8 4/20 + 3 5/10

Step-by-step explanation:

First Example:

1/2 + 3/4

1/2 is equal to 2/4 so it is now compatible to be added to 3/4.

2/4 + 3/4

= 5/4

Now for the mixed numbers since its 3 and 4, 3 + 4 = 7.

Final answer is 7 5/4.

Second Example:

3/8 + 9/15

9/15 can be reduced to 3/5

Now the equation is 3/8 + 3/5

= 15/40 + 24/40 is an equivalent equation

15/40 + 24/40  

= 39/40

Now for the mixed numbers since its 6 and 7, 6 + 7 = 13

Final answer is 13 39/40.

I am going to include one last example just in case you need one:

Third Example:

4/20 + 5/10

We can reduce these to

1/5 + 1/2

= 2/10 + 5/10 is the equivalent equation

2/10 + 5/10

= 7/10

Now for the mixed numbers since its 8 and 3, 8 + 3 = 11.

Final answer is 11 7/10.

I Hope this helps!

When P = 2l + 2w is solved for w, the result is:?

Answers

Answer:

[tex]\frac{p-2l}{2}[/tex]

Step-by-step explanation:

move the 2l to the other side by subtracting 2l on both sides. you get P - 2l = 2w. now divide both sides by 2 to get the answer.

Solve for X.
-6x + 14 < -28
AND 3x + 28 < 25

Answers

Answer:

1. -6x + 14 < -28

6x<42

x<7

2.  3x + 28 < 25

3x < -3

x<-1

Hope This Helps!!!

The product of 2 integers is 72. One number is two less than five times the other. Which equation can be used?

Answers

Answer:

should be (5y-2)y = 72

Step-by-step explanation:

since the product of the two is 72, it's true that xy = 72. and it is also true that x is equal to five times y minus 2, so you can rewrite x as 5y-2. plug that in for x in the first equation, and you're set. hope this helps :)

Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.

Answers

Answer:

Slope = 2

Step-by-step explanation:

To find the slope of the line, you need to plot two points

My own two points will be: [tex](1,2)[/tex] and [tex](2,4)[/tex]

Now use the Slope-Formula to identify the slope of the line

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{4-2}{2-1}[/tex]

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

[tex]m=2[/tex]

so the slope of the line in simplest form will be 2.

The Statistical Abstract of the United States published by the U.S. Census Bureau reports that the average annual consumption of fresh fruit per person is 99.9 pounds. The standard deviation of fresh fruit consumption is about 30 pounds. Suppose a researcher took a random sample of 38 people and had them keep a record of the fresh fruit they ate for one year.
Appendix A Statistical Tables
(Round all z values to 2 decimal places. Round your answers to 4 decimal places.)
a. What is the probability that the sample average would be less than 90 pounds?
p =
b. What is the probability that the sample average would be between 98 and 105 pounds?
p =
c. What is the probability that the sample average would be less than 112 pounds?
p =
d. What is the probability that the sample average would be between 93 and 96 pounds?
p =

Answers

Answer:

Hence,

a) The probability that the sample average would be less than 90 pounds is 0.0210.

b) The probability that the sample average would be between 98 and 105 pounds is 0.5045.

c) The probability that the sample average would be less than 112 pounds is 0.9935.

d) The probability that the sample average would be between 93 and 96 pounds is 0.1341.

Step-by-step explanation:

a) [tex]P(X < 90) = P(Z < (90 - 99.9) / (30\sqrt(38)))[/tex]

                     = P(Z < -2.03) = 0.0210

b )[tex]P(98 < x <105) = P((98 -99.9) / (30 \sqrt(38)) < Z < (105 -99.9) / (30 \sqrt(38)))[/tex]

                              = P(-0.39 < Z < 1.05) = 0.5045

c ) [tex]P(X < 112) = P(Z < (112 - 99.9) / (30\sqrt(38)))[/tex]

                        = P(Z < 2.49) = 0.9935

d )[tex]P(93 < x < 96) = P((93 -99.9) / (30 \sqrt(38)) < Z < (96 -99.9) / (30 \sqrt(38)))[/tex]

                            = P( -1.42 < Z < -0.8 )

                            = 0.2119 - 0.0778 = 0.1341

Which function represents the graph below?

Answers

Answer:

The answer is the third one below

Identify the transformation that occurs to create the graph of g(x). g(x)=f(x)-7

Answers

Answer:

g(x) is obtained by shift the function f(x) down 7 units by subtracting 7 units from f(x).

Step-by-step explanation:

We are given that

[tex]g(x)=f(x)-7[/tex]

We have to identify  the transformation that occurs to create the graph of g(x).

To identify  the transformation that occurs to create the graph of g(x)

We will subtract the 7 from f(x).

Let f(x) be any function

[tex]g(x)=f(x)-k[/tex]

It means g(x) obtained by  shift the function f(x) down  k units by subtracting k units from f(x).

Therefore, g(x) is obtained by shift the function f(x) down 7 units by subtracting 7 units from f(x).

Nina and Amy began arguing about who did better on their tests, but they couldn't decide who did better given that they took different tests. Nina took a test in English and earned a 71.8, and Amy took a test in Social Studies and earned a 60.7. Use the fact that all the students' test grades in the English class had a mean of 71.7 and a standard deviation of 11.7, and all the students' test grades in Social Studies had a mean of 60.6 and a standard deviation of 10.5 to answer the following questions.
a) Calculate the z-score for Nina's test grade.
b) Calculate the z-score for Amy's test grade.
c) Which person did relatively better?
i. Nina
ii. Amy
iii. They did equally well.

Answers

Answer:

a) [tex]Z = 0.0085[/tex]

b) [tex]Z = 0.0095[/tex]

c)  ii. Amy

Step-by-step explanation:

Z-score:

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.

Question a:

Nina took a test in English and earned a 71.8. In the English class had a mean of 71.7 and a standard deviation of 11.7.

This means that [tex]X = 71.8, \mu = 71.7, \sigma = 11.7[/tex]

So

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

[tex]Z = \frac{71.8 - 71.7}{11.7}[/tex]

[tex]Z = 0.0085[/tex]

Question b:

Amy took a test in Social Studies and earned a 60.7. Students' test grades in Social Studies had a mean of 60.6 and a standard deviation of 10.5.

This means that [tex]X = 60.7, \mu = 60.6, \sigma = 10.5[/tex]

So

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

[tex]Z = \frac{60.7 - 60.6}{10.5}[/tex]

[tex]Z = 0.0095[/tex]

c) Which person did relatively better?

Amy had a higher z-score, so she did relatively better.

PLS HELP please give an explanation if you don’t have one pls still give answer

Answers

I think a and b is the answer mate
The correct answers are Line A and Line B

Since you are looking for a -2 you start by finding the negative lines which narrows it down to A and B. The you check the rise over run of both lines and you should get -2/1 which simplifies to -2

Sameer bought 8kg 500g mango and 5kg 250g apples and Anil bought 7kg 800g Guava and 4kg 625g Banana. Who bought more fruits? And by how much?.​

Answers

Answer:

Below.

Step-by-step explanation:

Sameer:-

Number of mango's = total weight / weight of 1 mango

= 5 kg / 500g

= 5000/500

= 10.

Number of apples: =  5000/250 = 20.

Total number of fruit = 30.

Anil :-

Number of guava = total weight / weight of 1 guava

= 7 kg / 800g

= 7000/800

= 9.

Number of banana: =  4000/625 = 6.

Total number of fruit = 15.

Sameer bought the most fruit,  15 more than Anil.

Note: in Anil's case I rounded the values to the nearest whole number.

what is the measure of an angle if it is 120 less than 5 times its own complement

Answers

Answer:

The measure of the angle is 55º.

Step-by-step explanation:

Complement of angle x:

If two angles are complementary, the sum of their measures is of 90º. Thus, the complement of an angle x is 90 - x.

In this question:

Angle is 120 less than 5 times its own complement, so:

[tex]x = 5(90 - x) - 120[/tex]

We have to solve for x

[tex]x = 450 - 5x - 120[/tex]

[tex]6x = 330[/tex]

[tex]x = \frac{330}{6}[/tex]

[tex]x = 55[/tex]

The measure of the angle is 55º.

Hello, please help me!!​

Answers

Answer:

0.14

Step-by-step explanation:

P(A|B) asks for the probability of A, given that B has happened. This is equal to the probability of A and B over the probability of B (see picture)

Here, the question is asking if someone is taking the bus given that they are a senior.

The probability of someone being a senior and taking the bus is 5/100, or 0.05 . The probability of someone being a senior is 35/100, or 0.35

Our answer is then 0.05/0.35 = 1/7 = 0.14

Please answer i need help please i will give you brainlest please

Answers

Answer:

14) 4x+10=8x-26 (corresponding angles are equal)

4x-8x=-26-10

-4x=-36

x= -36/-4= 9

x=9

15) perimeter of rectangle= 2(l+b)

2( l+ [tex]\frac{2l}{3}[/tex]) = 40m

2l+ [tex]\frac{4l}{3}[/tex] =40

Take LCM as 3

[tex]\frac{2l}{1}[/tex] * [tex]\frac{3}{3}[/tex] + [tex]\frac{4l}{3}[/tex] =40

[tex]\frac{6l+4l}{3}[/tex] = 40

[tex]\frac{10l}{3}[/tex] = 40

10l=40*3

10l = 120

l= 120/10 =12 cm

l=12cm

b= 2/3 *12 = 8cm

16) 2:3:4

It can be written as 2x+3x+4x

sum of angles of a triangle =180 degree

so 2x+3x+4x=180

9x=180

x=180/9=20 degree

1st angle=2x=2*20= 40 degree

2nd angle= 3x=3*20 =60 degree

3rd angle= 4x=4*20= 80 degree

17) sum of interior angles of a pentagon is 540 degree

so, 125+88+128+60+x=540 degree

401 +x= 540 degree

x=540-401= 139 degree

Hope this helps

Please mark me as brainliest

The product of -3x and (2x+5) is …​

Answers

[tex]\huge{\boxed{\boxed{ Solution ⎇}}} \ [/tex]

[tex] - 3x \times (2x + 5) \\ = - 3x \times 2x + - 3x \times 5 \\ = - 6x ^{2} - 15x[/tex]

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ ツ

꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐

[tex] \huge\boxed{\mathfrak{Answer}}[/tex]

[tex] - 3x \times (2x + 5) \\ = - 3x \times 2x + - 3x \times 5 \\ = - 6x ^{2} - 15x [/tex]

Answer ⟶ - 6 - 15x

The sum of 5 consecutive integers is 505. What is the second number in this sequence?

Answers

Answer:

The second number is 100.

Step-by-step explanation:

Let the first integer be x.

Then since the five integers are consecutive, the second integer will be (x + 1), the third (x + 2), fourth (x + 3), and the fifth (x + 4).

They total 505. Hence:

[tex]\displaystyle x+(x+1)+(x+2)+(x+3)+(x+4)=505[/tex]

Solve for x. Combine like terms:

[tex]5x+10=505[/tex]

Subtract 10 from both sides:

[tex]5x=495[/tex]

And divide both sides by five. Hence:

[tex]x=99[/tex]

Thus, our sequence is 99, 100, 101, 102, and 103.

The second number is 100.

Applying the translation (x, y) - (x - 3, y + 7) maps the point (-4,7) onto the point
9
O A) (14, -7)
12
B) (7, -14)
15
C) (14, 7)
D) (-7, 14)

Answers

Answer:  Choice D.  (-7, 14)

Work Shown:

[tex](x,y) \to (x-3, y+7)\\\\(-4,7) \to (-4-3, 7+7)\\\\(-4,7) \to (-7, 14)\\\\[/tex]

The point has moved 3 units to the left and 7 units up. See the diagram below.

in the past year bill watch 64 movies that he thought were very good he watched 80 movies over the whole year of the movies he watched what percentage did he rate as very good​

Answers

Answer:

he rate it 16%

Step-by-step explanation:

64-80\100=16

Casey and Malik can paint a room in 6 hours if they work together. If Malik were to work by himself, it would take him 4 hours longer than it would take Casey working by himself. How long would it take Casey to paint the room by himself if Malik calls in sick? Round to 2 decimal places.

Answers

Answer:

It would take 10 hours for Casey to paint the room by himself.

Step-by-step explanation:

Given that Casey and Malik can paint a room in 6 hours if they work together, and if Malik were to work by himself, it would take him 4 hours longer than it would take Casey working by himself, to determine how long would it take Casey to paint the room by himself if Malik calls in sick the following calculation must be performed:

6 x 2 = 12

12 x 2 = 24

(24 - 4) / 2 = 10

Therefore, it would take 10 hours for Casey to paint the room by himself.

Please help me i will give you brainlest

Answers

Answer:

19. - 4/11

21. 14

Step-by-step explanation:

Im sorry but i can't solve 20

Two different formulas of an oxygenated motor fuel are being tested to study their road octane numbers. The variance of road octane number for formula 1 is σ12=1.5, and for formula 2 it is σ22=1.2. Two random samples of size n1=15 and n2=20 are tested, and the mean octane numbers observed are x¯1=89.0 fluid ounces and x¯2=92.2 fluid ounces. Assume normality.

a. Test the hypothesis that the formulations are equal versus the hypothesis that formulation 2 produces a higher mean road octane number than formulation 1. Calculate z0=
b. Calculate a 95% two-sided confidence interval on the mean difference road octane number.

Answers

Answer:

Step-by-step explanation:

a)

zo=(89.0-92.2)/sqrt((1.5/15)+(1.2/20))

zo=-8.00

p-value=0.0000

Reject the null hypothesis.

b)

95% confidence interval for difference

=(89-92.2)+/-1.96*sqrt((1.5/15)+(1.2/20))

=-3.2+/-0.78

=(-3.98, -2.42)

Using law of sines please show process!!!

Answers

Let the <C=x

We know in a triangle

☆Sum of angles=180°

[tex]\\ \sf\longmapsto 51+26+x=180[/tex]

[tex]\\ \sf\longmapsto 77+x=180[/tex]

[tex]\\ \sf\longmapsto x=180-77[/tex]

[tex]\\ \sf\longmapsto x=103°[/tex]

you count after 2. What is the number?
4. When this 3-digit number is rounded to the
nearest hundred, it rounds to 200. Rounded
to the nearest ten, this number rounds to
200. The sum of the digits of this number
is 19. What is the number?

Answers

Answer:

I think the answer is 100 because nothing greater than 200 if its rounded hope this helped if not sorry

Other Questions
You know different types of networks. If two computing station high speed network link for proper operation which of the following network type should be considered as a first priority?MANWANWLANLANAll of these which of the following is the equation of a line that passes through the points (1,6) and(2,1) I NEED HELP ASAP!!!!!!!!!!!PLEASE If EC = 10cm what must AC be if ABCD is a parallelogram?5 10 or 20? please hurry :( Given m||n, find the value of x.mx1189+- I am buying a firm with an expected perpetual cash flow of $1,000 but am unsure of its risk. If I think the beta of the firm is 0, when the beta is really 1, how much more will I offer for the firm than it is truly worth? Assume the risk-free rate is 4% and the expected rate of return on the market is 10%. (Input the amount as a positive value.) A corporation or other business entity must be in good standing (to have capacity to enter into a contract. 430,400,000+342,000,000 adding scientific notation During Benito Mussolini's reign inItaly, the nation that became hisclosest ally was which of thefollowing?A. FranceB. GermanyC. the U.S. pls help with this question will mark brainliest :)) o que capacidade circulao NEED HELP ASAP what function is this?? The volume of air inside a rubber ball with radius r can be found using the function V(r)= 4/3pier^3 what does V(5/7) represent? Although her reading skills are just fine, Beatriz has difficulty with her writing. Her teachers have noticed that no matter how hard she tries and how much they work with her the handwriting on her papers is almost illegible. Further, although she has great thoughts and understands concepts at a high level, she is unable to put them into a cohesive written paper. Beatriz may suffer from ________. In yourown words, explain the importance of the narrator's voice in a book when it comes to conveying the author's style The following data represents number of customers arriving at Quick Lube for an oil change between 9 and 11 AM over the past 6 days.Day 1 2 3 4 5 6Customers 34 33 35 36 36 37 Required:Using the Naive Method, how many customers would you forecast for Day 7? Directions: Graph each equation by using the y-intercept and slope( make sure too show your work)FIRST QUESTION: y= -2/3x-1y-intercept=____Slope:____ When 2.50 moles of oxygen reacts with excess hydrogen gas how many grams of water isproduced?2 H2 + O2--> 2 H20 If trstan has a pickup truck that could carry 7/4 cord of firewood, FInd the number trips needed to cary 63 cords of wood How much current flows in the circuit if two resistors of 6 connected in parallel aresupplied with potential difference of 12 volts?