Find sin theta if cos theta is 4/5

Answers

Answer 1

Answer:

Step-by-step explanation:

hello :

cos²θ +sin²θ = 1 and cosθ =4/5

(4/5)² + sin²θ = 1 so : sin²θ = 1 - 16/25

sin²θ = 9/25 = (3/5)²

sinθ = 3/5 or sinθ = - 3/5 because : (3/5)²= (- 3/5)²= 9/25


Related Questions

Daryl had a $33 credit on his phone bill. He was then
charged $39 for this month's usage. What is his new
balance?

Answers

Answer:

6

Step-by-step explanation:

Plato

Oriole Rental Company provided the following information to its auditors. For the year ended March 31, 2017, the company had revenues of $876,223, general and administrative expenses of $352,479, depreciation expenses of $131,455, leasing expenses of $108,195, and interest expenses equal to $78,122. If the company's average tax rate is 34 percent, what is the cash flow from operating activity for Oriole Rental? (Round intermediate calculations and final answer to the nearest whole dollar, e.g. 5,275.) Cash flow from operation

Answers

Answer:

the cash flow from operation is $267,397

Step-by-step explanation:

Given that

Revenues be $876,223

General and admin expense $352,479

Depreciation expense $131,455

Leasing expense $108,195

Interest expense $78,122

Tax rate is 34%

We need to find out the cash flow from operation

As we know that

Cash flow from operation = (Revenue - general & admin expense - depreciation - leasing - interest) × (1 - tax rate) + depreciation

= ($876,223 - $352,479 - $131,455 - $108,195 - $78,122) × (1 - 0.34) + $131,455

= $205,972 × (1 - 0.34) + $131,455

= $267,397

Hence, the cash flow from operation is $267,397

Divide. Round your answer to the nearest whole number.

Answers

It will be 6609 if rounded to the whole number

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Answers

Step-by-step explanation:

11.True

12.False

13.False

14.False

15.True

16.False

17.False

18.True

19.True

20.False

Answer:

here

Step-by-step explanation:

A map's scale is 1 inch : 3.5 miles.
If the distance on the map is
8 inches, then the actual distance
in real life is miles.

Answers

Answer:

28

Step-by-step explanation:

1 in.=3.5

so 8×3.5=28

so it is 28 miles

I git dune wif this in 3 minits
782+821=___
2x2=___​

Answers

782 + 821 = 1,603


2x2 = 4

Answer:

♡♡♡♡♡♡♡♡♡♡♡♡

Step-by-step explanation:

782 + 821 = 1,603

2 x 2 = 4

Allen buys the same number of baseball cards each month to add to a card collection he was given. Use the table to determine how many baseball cards he was given and how many he buys each month.

Answers

Answer:

H.

Step-by-step explanation:

I believe this is the answer because when you look at the problem and see the rate of change pattern months go +2 , +3, +2, and +3. Then when you look at the cards rate of change 80-44=36, so +36 then 104-80=24, so +24. as you can see when you subtract the rates if change between the cards (36-24), you get 12. Therefore y=12x. next you go along with the pattern and find the y-intercept by doing 44-24=20. Sorry it is kinda hard to explain, but hope this helps!

Allen was given 20 cards , and he buys 12 cards each month

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Let the number of cards be y

Let the number of months be x

Let the first point be P ( 5 , 80 )

Let the second point be Q ( 7 , 104 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 104 - 80 ) / ( 7 - 5 )

m = 24 / 2

m = 12 cards per month

So , the equation of line is y - y₁ = m ( x - x₁ )

y - 80 = 12 ( x - 5 )

Adding 80 on both sides , we get

y = 12x + 20

So , when x = 0

y = 20 cards in the initial month

Hence , the equation of line is y = 12x + 20 and Allen has 20 cards in his initial month

To learn more about equation of line click :

https://brainly.com/question/14200719

#SPJ2

Rewrite the polynomial 2x2 + x + +-7x + 1 in standard form.​

Answers

Answer:

x-7x+5

Step-by-step explanation:

4+x-7x+1

x-7x+5

In the following triangle what is the length of the hypotenuse?

Answers

Answer:

Hypotenuse: 6

Step-by-step explanation:

Sin45°=(BC/AC)

Sin45°=(3√2/AC

1/√2=3√2/AC

AC=3×2=6

so hypotenuse = 6

hope it helps

have a great day!!

Answer:

6

Step-by-step explanation:

here's your solution

=> sin 45° = perpendicular/hypotenuse

=> sin 45° = 1/√2

=> perpendicular = 3√2

=> 1/√2 = 3√2/hypotenuse

=> Hypotenuse = 3*√2*√2

=> Hypotenuse = 3*2

=>. Hypotenuse = 6

hope it helps

Lucy buys a greeting card for $4.50 She then buys 5 postcards that all cost the same amount. The total cost is $7.00 How much is each postcard?

Answers

So as u can do $1.40 x 5 will = $7.00 so then the amount will be 1.40 each

Yesterday, there were 30 problems assigned for math homework. Nancy did 10% of them correctly. How many problems did Nancy get wrong?
1.) 5
2.) 10
3.) 20
4.)27​

Answers

Answer:

i dont know if this is right but im pretty sure its 5

Step-by-step explanation:

Answer:

4.) 27

Step-by-step explanation:

Just take 30 and - 10% = 27

Because you are looking for the wrong one so you always have to see how many it was before and how many it was after. Sometimes you can minus the number and then that's the answer you get from minusing

1
Write the equation of a circle whose center is at (-11,–8) and whose radius is 4.

Answers

Answer:

Step-by-step explanation:

[tex](x_c,y_c)=(-11,-8) \quad r=4\\(x-x_c)^2+(y-y_c)^2=r^2 \quad (x+11)^2+(y+8)^2=4^2[/tex]

The board of a major credit card company requires that the mean wait time for customers when they call customer service is at most 4.50 minutes. To make sure that the mean wait time is not exceeding the requirement, an assistant manager tracks the wait times of 53 randomly selected calls. The mean wait time was calculated to be 4.94 minutes. Assuming the population standard deviation is 2.10 minutes, is there sufficient evidence to say that the mean wait time for customers is longer than 4.50 minutes with a 98% level of confidence?
1. State the null and alternative hypotheses for the test.
2. Compute the value of the test statistic.
3. Draw a conclusion and interpret the decision.

Answers

Answer:

H0 : μ = 4.50

H1 : μ > 4.50

Test statistic = 1.525

we conclude that there is no sufficient evidence to conclude that the mean wait time for customers is longer than 4.50.

Step-by-step explanation:

H0 : μ = 4.50

H1 : μ > 4.50

Test statistic :

(xbar - μ) ÷ s/sqrt(n)

(4.94 - 4.50) ÷ 2.10/ sqrt(53)

0.44 / 2.10/ sqrt(53)

= 1.525

α = 1 - 98% = 0.02

Decision region :

Reject H0 ; if Pvalue < α

Pvalue = p(Z < 1.525) = 0.936

Pvalue = 0.936

Since Pvalue > α ; We fail to reject H0

Hence, we conclude that there is no sufficient evidence to conclude that the mean wait time for customers is longer than 4.50.

Please help, only if you know though thank you

Answers

The answer is x=10.295 roughly. You get this by using Pythagorean theorem, a^2 + b^2 = c^2. You just plug in the numbers to get the last side, 9^2 + 5^2 = c^2 and solve. 81 + 25 = c^2, 106 = c^2, then you take the square root of 106 to get your answer, c = 10.295.

Select ALL the correct answers.
Which shapes have the same volume as the given rectangular prism?
8 cm
15cm
base area = 50 cm
Answers
A.) 15cm 5cm height base area 50 cm
B.) 8cm 5cm height base area 50 cm
C.) 24 cm height base area 50 cm
D.) 18 cm 15 cm height base area 50 cm

Answers

Answer: I think it’s A the cylinder

Step-by-step explanation:

For PLATO users, the answers are the cylinder and the cone, NOT EITHER OF THE PYRAMIDS!!! Your welcome....

what is the volume of the sphere?

Answers

Answer:

The formula for the volume of a sphere is V = 4/3 πr³.  

Step-by-step explanation:

Surface area of sphere = 4πr2

Volume of a sphere = 4/3 πr3

You only need to know the radius to figure both the volume and surface area of a sphere.

Answers for surface area problems should always be in square units.

Answers for volume problems should always be in cubic units.

Without using your calculator work out 1 7/12 + 13/20. Give answer in its simplest from

Answers

Answer:

31/15

Step-by-step explanation:

First, find the common multiplier of 20 and 12 (the lowest number that both fractions can be increased to). This is 60 (12 x 5 = 60, 20 x 3 = 60) and adjust the numerators accordingly: multiply 17 by five to get 85, and multiply 13 by three to get 39. Add them up to get 124/60, and then simplify - the answer will be 31/15! Hope this helps! Sorry if this was tough to understand, typing off my phone, so feel free to ask any questions :)

Answer:

0.720833

Step-by-step explanation:

First find the LCM of the two fractions

Then add the numerators together

form a single fraction

Lastly cancel the numerator and denominator if possible

What is the correct expanded form and value of ( 4/5)³ ? ​

Answers

Answer:

its the second one

Step-by-step explanation:

see image below

Dogs vary in size a great deal more than cats do. Suppose the mean weight of dogs in a certain city is 28 pounds with a standard deviation of 14 pounds, and the mean weights of cats is 9.5 pounds with a standard deviation of 2 pounds. Cat weights are roughly Normally distributed, but dog weights are skewed right. Suppose you take a random sample of 10 dogs and 8 cats. Which of the following is an accurate description of the center, spread, and shape of the sampling distribution of the difference in the mean weight dogs and the mean weight of cats?

a. Mean = 18.5 pounds, standard deviation = 4.48 pounds, shape approximately Normal
b. Mean = 18.5 pounds, standard deviation = 4.48 pounds, shape non-Normal
c. Mean = 18.5 pounds, standard deviation - 14.1 pounds, shape approximately Normal
d. Mean = 18.5 pounds, standard deviation = 14.1 pounds, shape non-Normal
e. The difference of means is 18.5 pounds and the shape is non-Normal, but the standard deviation cannot be determined since the sample size is small and the distribution of dog weights is non-Normal.

Answers

Answer:

b. Mean = 18.5 pounds, standard deviation = 4.48 pounds, shape non-Normal

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Subtraction of samples:

When two samples are subtracted, we have that the mean is the difference between the means and the standard deviation is the square root of the sum of the variances.

The mean weight of dogs in a certain city is 28 pounds with a standard deviation of 14 pounds. Sample of 10

This means that [tex]\mu_{D} = 28, s_D = \frac{14}{\sqrt{10}} = 4.4272[/tex]

Mean weights of cats is 9.5 pounds with a standard deviation of 2 pounds. Sample of 8.

This means that [tex]\mu_{C} = 9.5, s_{C} = \frac{2}{\sqrt{8}} = 0.7071[/tex]

Which of the following is an accurate description of the center, spread, and shape of the sampling distribution of the difference in the mean weight dogs and the mean weight of cats?

The mean is:

[tex]\mu = \mu_{D} - \mu_{C} = 28 - 9.5 = 18.5[/tex]

The standard deviation(spread) is:

[tex]s = \sqrt{s_{D}^2+s_{C}^2} = \sqrt{4.4272^2+0.7071^2} = 4.48[/tex]

Normal distribution subtracted by non-normal(sample of cats is less than 30, so wont be normal), will be non-normal.

The correct answer is given by option b.

I am doing this test and I need questions questions ASAP I will give brainiest to whoever answers it correctly

Answers

Answer:

The correct answer there is the first option

Pleaseeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

2 terms

Step-by-step explanation:

I hope it will help you

x = 8 – 2y

x + 3y = 12

Answers

9514 1404 393

Answer:

  (x, y) = (0, 4)

Step-by-step explanation:

Since we have an expression for x, substitution works nicely.

  (8 -2y) +3y = 12 . . . . . . use the first equation to substitute for x in the 2nd

  y = 4 . . . . . . . . . . . . subtract 8, collect terms

  x = 8 -2(4) = 0 . . . . substitute for y in the first equation

The solution is (x, y) = (0, 4).

I need help please don’t scam or no brainlist

Answers

Answer is d if not it’s b hope this helps

2 A line passes through the point (9,-8) and has a slope of 3 ving Write an equation in point-slope form for this line.​

Answers

Answer:

y=3x-35

Step-by-step explanation:

y=ax+c

a=slope=3; x and y are given, 9 and -8. put into the formula and solve for c.

-8=9*3+c

-35=c

y=3x-35

Please Help i need this done

Answers

Answer:

i think u add 2.5 everytime

Step-by-step explanation:

for example start with(0, 2.5) 0n the graph then add 2.5 to 2.5 then keep adding if im wrong srry

-4x+3x<4 what is the awenswer to this equation

Answers

Answer:

X > -4

Step-by-step explanation:

Collect the like terms which literally leaves you with -x<4

Then just changes the signs, hence the answer.

Please mark brainliest!

55 times 4 and time 3 equals what?

Answers

Answer:

55 times 4 =220

220 times 3 =660

What is the Place value of 3.35

Answers

Answer:

3.35 = (3 * 100) + (3 * 1/101) + (5 * 1/102)

3.35 = (3 * 1) + (3 * 1/10) + (5 * 1/100)

3.35 = 3 + 3/10 + 5/100

3.35 = 3 + 0.3 + 0.05

3 An expression is shown below
3 +8+4x2 - 12
Place the parenthesis in the expression
so that it has a value of 18.

Answers

answer is (3+8+4) x 2 -12
3+8+4 = 15
15 x 2 = 30
30-12= 18

Please help me!! It’s a test!!

A carbon filter is used by a scientist to filter out small particles of soil and rocks from
a water sample taken from a stream. The exponential function F(x) = 500(0.35) can
be used to model the function. Which of the following could be represented by the
value 500 in the function rule?

Answers

Answer:

The number of particles of soil and rock particles found in the water.

Step-by-step explanation:

Since we are filtering out small particles of soil and rocks, then we can assume that they are being reduced greatly with each filter. So we can assume that since the 500 is being reduced by 65%, then the 500 is the only other thig being reduced, which in this case is the particles of soil and rocks.

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