What is cos 0 when sin 0
22
le
(1,0)
✓[?
cos
Rationalize the denominator if necessary.

What Is Cos 0 When Sin 022le(1,0)[?cosRationalize The Denominator If Necessary.

Answers

Answer 1

Answer:

Cos θ = √7/3

Step-by-step explanation:

From the question given above, the following data were obtained:

Sine θ = √2 / 3

Cos θ =?

Recall

Sine θ = Opposite / Hypothenus

Sine θ = √2 / 3

Thus,

Opposite = √2

Hypothenus = 3

Next, we shall determine the Adjacent. This can be obtained as follow:

Opposite = √2

Hypothenus = 3

Adjacent =?

Hypo² = Adj² + Opp²

3² = Adj² + (√2)²

9 = Adj² + 2

Collect like terms

9 – 2 = Adj²

7 = Adj²

Take the square root of both side

Adjacent = √7

Finally, we shall determine the value Cos θ. This can be obtained as follow:

Adjacent = √7

Hypothenus = 3

Cos θ =?

Cos θ = Adjacent / Hypothenus

Cos θ = √7/3


Related Questions

In order to obtain a linear relationship between predictor and response variable, you had to transform the response variable (Y) using a natural log transformation. After running the regression your estimate of the slope is 0.30011. Because you transformed the response variable the slope is no longer the change in Y, measured in the original units, per unit change in the predictor X. Using a simple mathematical expression you can still interpret the slope. Following the expression used in the lecture, the correct interpretation is now that this is a ___________change in Y per unit change in X. And the value of this change is __________

Answers

Answer:

Estimated average

0.30011

Step-by-step explanation:

Estimate of slope = 0.30011

Given that the transformed response variable possess a slope that is no longer the change in Y

The correct interpretation is now that this is an estimated average change in Y per unit change in X. And the value of this change is  0.30011

Wavelength and Frequency

A chord consists of notes that sound good together. the C major chord, starting at middle C, has the following frequencies:

C - 262 Hz
E - 330 Hz
G - 392 Hz

Determine the ratio of the frequency of G to C. Express the answer in a simple integer ratio. (Due to rounding the ratio will be approximate. )

a. 5 to 4
b. 3 to 2
c. 6 to 5
d. 9 to 8

Please select the best answer from choices provided

Answers

Answer:

B. 3 to 2

Step-by-step explanation:

I calculated it logically

The ratio of the frequency of G to C is 1.5. So, option b is correct.

What is meant by frequency ?

Frequency of a wave is defined as the number of oscillations completed by the wave in one second.

Here,

The frequency of note G, f(G) = 392 Hz

The frequency of note C, f(C) = 262 Hz

The ratio of the frequency of G to C, r = frequency of G/frequency of C

r = f(G)/f(C)

r = 392/262

r = 1.496 approximately r = 1.5

Hence,

The ratio of the frequency of G to C is 1.5

To learn more about frequency, click:

https://brainly.com/question/30333783

#SPJ7

Math word problem: Henry must do 50 hours of community service. He has completed 35 hours. What fraction and
percent of the hours has he completed? What percent of the hours must he still complete?

Tysm to anyone who understands this

Answers

Answer: He's done 7/10ths or 70/100 of the hours he has to do, as a percent thats 70%

Step-by-step explanation: You take 35 and divide it by 50 which gives you 0.70 or 0.7, both are the same. You move the decimal point two places to the right and that gives you 70%, to change that into a fraction, just divide it by 100.

What would this One be??

Answers

Answer:

the pre-image and the image are congruent

Step-by-step explanation:

Answer:

i think its c

Step-by-step explanation:

_ +18=5+41

What is the equation to finding the missing number

Answers

Answer:

28

Step-by-step explanation:

5+41= 46, so now subtract 46 to 18 and you get 28

To check 18+28=46 and  5+41=46

Answer:

Equação básica de segundo grau

A flea is jumping around on the number line. He starts at 3 and jumps 5 units to the left. Where is he now on the number line

Answers

Answer:

Answer. -2

Step-by-step explanation:

hope this helps!!

Once again, consider the data for Fred's caloric intake. 2000 2200 2100 2400 2500 1900 2200 2200 2700 2600 Find the : (enter your answers as numbers) Sample standard deviation (rounded to the nearest hundredth)

Answers

Answer:

The sample standard deviation is of 248.19.

Step-by-step explanation:

First we find the sample mean, which is needed to find the sample standard deviation.

Sample mean:

Sum of all values in the sample, divided by the number of values. So

[tex]M = \frac{2000+2200+2100+2400+2500+1900+2200+2200+2700+2600}{10} = 2280[/tex]

Sample standard deviation:

Square root of the sum of the difference squared between each value and the mean, divided by the number of values. So:

[tex]S = \sqrt{\frac{(2000-2280)^2+(2200-2280)^2+(2100-2280)^2+(2400-2280)^2+(2500-2280)^2+(1900-2280)^2+...}{10}} = 248.19[/tex]

The sample standard deviation is of 248.19.

I need an answer quick!!!

Answers

Answer:

0.34

Step-by-step explanation:

it is between 0.3 and 0.4 so obviously 0.3 is going to be there, but the next digit will be 4 because it moves 4 places to the right.

Answer:

The answer is .34

When you see a question like this you just go down to the next decimal place. In this example you count: .31, .32, .33, .34... and so on.

WILL MARK BRAINLIEST!!

Answers

Answer:

the answer to this is

(a.)(2,-1)

Which shows the use of the associative property?
A. 7n + 1/5 = 1/5 + 7n
B. 7 + (1/5 + n) = (7 + 1/5) + n
C. 7(n + 1/5) = 7n + 5/7
D. (7 + 1/5) +n = 7 1/5 + n
Edugenity 2021
Common Core math

Answers

Answer:

B shows the associative property

If right I’ll mark brainiest if u have questions put it in the comments

Answers

Answer:

6

Step-by-step explanation:

The interquartile range is calculated by subtracting the first quartile from the third quartile. Box and whisker plots make it pretty easy to find the quartiles. The first quartile is the point where the box starts, and the third is where the box ends. The second is the median/line in the middle of the box.

So for that first box plot on the top, the first quartile is 7, because that's where the box begins. The third quartile is 22 because it's where the box ends.

For the second one, the first quartile is 8 and the third is 17.

To find the interquartile range of each, subtract the first quartile from the third. 22-7 = 15 and 17-8 = 9.

Now to find the difference in the interquartile ranges, subtract 9 from 15. You get 6, so that is the answer :)

- Solve the equation 3 + n = 12​

Answers

Answer:

n = 9

Step-by-step explanation:

Method 1(Algebra) :

3 + n = 12

3 - 3 + n = 12 - 3

n = 9

Method 2:

3 + n = 12

Move 3 to the other side of the equation.

n = 12 - 3

n = 9

Can someone help me or explain how to find the missing value from the simple interest?

Answers

This is the working and answers

10+4y=20
Help me and out the steps in please

Answers

Answer: 10+4y=20

4y= 10

y= 10/4

y= 5/2

Step-by-step explanation: above

Suppose you have two rectangular prism with dimensions 2 feet by 3 feet by 5 feet. You want to join prisms together to form a larger rectangular prism. Which faces should you join if you want to make a prism with the least possible surface area?

Answers

Answer:

Below in bold.

Step-by-step explanation:

You would join the faces with the greatest area

That is the faces with dimensions 3 feet by 5 feet.

 A 20-sided die is rolled.

A) Find the probability that the die shows a number greater than 15.

B) Find the probability that the die shows an even number.

C) Find the probability that the die shows a number that is not 5, 6, 7, or 8.

D) Find the probability that the die shows a number that is Prime.

Answers

Answer:

A) .25 or 25% or 1/4

B) .50 or 50% or 1/2

C) .55 or 55% or 11/20

D) .4 or 40% or 2/5

A boat's value over time is given as the function f(x) and graphed below. Use A(x) = 400(b)x + 0 as the parent function. Which graph shows the boat's value decreasing at a rate of 40% per year?

Answers

Answer: I can't really tell you the answer because you didn't show the graphs...

Step-by-step explanation:

A boat's value over time is given as the exponential function f(x) = 400(0.6)ˣ

What is an exponential function?

An exponential function is in the form:

y = abˣ

Where a is the initial value and b is the multiplication factor.

Given that the boat's value decreasing at a rate of 40% per year, hence:

b = 100% - 40% = 60% = 0.6

A boat's value over time is given as the exponential function f(x) = 400(0.6)ˣ

Find out  more on exponential function at: https://brainly.com/question/12940982

Nora can do 70 push-ups in 2 minutes.
Luke can do 105 push-ups in 3 minutes. Do
these rates from a proportion? Explain.

Answers

Answer:

They can both do 35 push-ups per minute, with an equal ratio between them.

Step-by-step explanation:

Given that Nora can do 70 push-ups in 2 minutes, and Luke can do 105 push-ups in 3 minutes, to determine if these rates from a proportion the following calculation should be performed:

70/2 = X

35 = X

105/3 = X

35 = X

Therefore, they can both do 35 push-ups per minute, with an equal ratio between them.

Please help me!
Will give brainlst :)

Answers

To figure this out we need to plug in the numbers. If the end numbers on both sides equal each other it is the solution.

x = 8 & y = 5

5(8) - 4(5) = 20
40 - 20 = 20
20 = 20

3(5) = 2(8) + 1
15 = 16 + 1
15 = 17

As you can tell the first equation makes sense so that is the solution.

If a car moves 12 km North,19 km east, and 12 km south, what is its displacement

Answers

Answer:

19 km east

Step-by-step explanation:

By going North 12 then south 12 the two cancel eachother out leaving only the eastern movement

Answer:

19 km, East

Step-by-step explanation:

I hope you get it right

plz SOLVE it CORRECTLY step by step asap​

Answers

Answer:

Step-by-step explanation:

area of circle=π[tex]r^{2}[/tex]

=22/7*[tex]21^{2}[/tex]

=22/7*441

=9702/7

=1386 cm^2

What is the probability that the two pointers will land on an odd number and letter C? Give the probability as a percent

Answers

Answer:

12.5%

Step-by-step explanation:

hope this helps and its right

Answer:

Your answer would be 12.5%.

Step-by-step explanation:

There are two types of spinners here and the outcome of them is independent. That means  

P(odd number, C) = P(odd number) * P(C)  

There are two odd numbers out of four numbers in the first spinner. The chance of odd number will be:  

P(odd) = 2/(2+2)= 1/2= 50%

There are four letters and the desired outcome is C. The chance for C will be:

P(C) = 1/4= 25%

Then the chance will be:  

P(odd number, C) = P(odd number) * P(C)

P(odd number, C) =50% * 25% = 12.5%

Therefore, 12.5% will be your final answer.

Amil has a recipe that calls for 2/3 cups of flour. Amil wants to make 4 1/2 times that recipe. How many total cups of flour does Amil need?

Answers

She will need 3 cups

:)

Answer:

she will need 3 cups

Step-by-step explanation:

the total cups of flour Amil is 3 cups

the auto parts department of an automotive dealership sends out a mean of 66 special orders daily. what is the probability that, for any day, the number of special orders sent out will be no more than 33

Answers

Answer:

0% probability that, for any day, the number of special orders sent out will be no more than 33

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 of 66 special orders daily

This means that [tex]\mu = 66[/tex]. We have the mean during a time interval, which means that the number of special orders follow a Poisson distribution, which has [tex]\sigma = \sqrt{\mu} = \sqrt{66}[/tex]

What is the probability that, for any day, the number of special orders sent out will be no more than 33?

Since the Poisson distribution, which is discrete, is approximated to the normal(which is continuous), we have to use continuity correction, and thus, this probability is P(X < 33 - 0.5) = P(X < 32.5), which is the p-value of Z when X = 32.5.

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

[tex]Z = \frac{32.5 - 66}{\sqrt{66}}[/tex]

[tex]Z = -4.12[/tex]

[tex]Z = -4.12[/tex] has a p-value of 0.

0% probability that, for any day, the number of special orders sent out will be no more than 33

Please answer both!!

Answers

27. 9x^2-24x+16=0
(3x-4)^2=0
3x-4=0
3x=4
x=4/3


28. 9x^2-30x+26=1

9x^2-30x+26-1=0

9x^2-30x+25=0
(3x-5)^2=0
3x-5=0
3x=5
x=5/3

A particle moves along the x-axis with the given acceleration function a(t) = 8t - 6, initial position s(0) = 2, and initial velocity v(0). Find the position function.

Answers

Answer:

[tex]s(t) = \frac{4t^3}{3} - 3t^2 + v(0)t + 2[/tex]

Step-by-step explanation:

Relation between acceleration, velocity and position:

The velocity function is the integral of the acceleration function.

The position function is the integral of the velocity function.

Acceleration:

As given by the problem, the acceleration function is:

[tex]a(t) = 8t - 6[/tex]

Velocity:

[tex]v(t) = \int a(t) dt = \int (8t - 6) dt = \frac{8t^2}{2} - 6t + K = 4t^2 - 6t + K[/tex]

In which the constant of integration K is the initial velocity, which is v(0). So

[tex]v(t) = 4t^2 - 6t + v(0)[/tex]

Position:

[tex]s(t) = \int v(t) dt = \int (4t^2 - 6t + v(0)) dt = \frac{4t^3}{3} - \frac{6t^2}{2} + v(0)t + K = \frac{4t^3}{3} - 3t^2 + v(0)t + K[/tex]

The initial position is s(0) = 2. So

[tex]s(t) = \frac{4t^3}{3} - 3t^2 + v(0)t + 2[/tex]

Create a set of data with 7 values that has a mean of 30, a median of 26, a range of 50, and an interquartile range of 36.

Answers

5, 10, 23, 26, 45, 46, 55

The data set that has the set forth parameters is 5, 10, 23, 26, 45, 46, and 55.

What does mean, median, range and interquartile range mean?

Median can be described as the number that occurs in the middle of a set of numbers that are arranged either in ascending or descending order

Mean is the average of a set of numbers.

Mean = sum of the numbers / total number

Range is the largest number less the smallest number.  The Interquartile range is the third quartile less the first quartile.

To learn more about mean, please check: https://brainly.com/question/25842202

What is the slope of the line passing through the points (1 5/7) and (2 2/7)

Answers

Answer:

Step-by-step explanation:

[tex]\frac{2}{7}-\frac{5}{7} = \frac{-3}{7} \\2 - 1 = 1\\\\Hence,\\(-3/7) / 1 = -3/7\\\\Hence, slope: -3/7[/tex]

Feel free to mark as brainliest :D

Please help on these math problems and I will give brainliest and 45 points

Answers

Answer:

1. 24 laps on day 4

2. ___

3. 67

4. 10 Adults

5. 32

6. 18 people served

7. 5(x+9)

8. 50

9. 39

10. 15

11. 25

12. 2 x 5 x 5

13. GCF: 6 .... LCM: 180

14. ___

15. ___

16. x=49

17. m=10

18. r=27

19. 23

20. 72% < 7/8

Consider rolling dice and getting a total of 8. Find the probability if two dice are rolled. (Enter the value of probability in decimals. Round the answer to three decimal places.) (You must provide an answer before moving to the next part.)

Answers

Answer:

[tex]Pr = \frac{2}{9}[/tex]

Step-by-step explanation:

Given

A roll of two dice

Required

Probability of getting a sum of 8

First, we list out the sample space

[tex]S =\{(1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6),(2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6), (3, 1) (3, 2) (3, 3)[/tex][tex](3, 4) (3, 5) (3, 6), (4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6),(5, 1) (5, 2) (5, 3) ,(5, 4) ,(5, 5) ,(5, 6),[/tex]

[tex](6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)\}[/tex]

The total is:

[tex]n(S) = 36[/tex]

From the sample space, the outcomes that give a sum of 8 are:

[tex]Sum =\{(2, 6), (3, 5),(4,4),(5,3),(6,2)\}[/tex]

The total is:

[tex]n(Sum) = 8[/tex]

So, the probability is:

[tex]Pr = \frac{n(Sum)}{n(S)}[/tex]

[tex]Pr = \frac{8}{36}[/tex]

[tex]Pr = \frac{2}{9}[/tex]

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