find the exact value of sin a = 4/5, a lies in quadrant 2, and cos B = 2/5, B lies in quadrant 1 find cos(a-b)​

Answers

Answer 1

Answer:

Cos(a - b) = 0.959

Step-by-step explanation:

We know that:

Sin(a) = 4/5

Such that a is on the first quadrant (between 0° and 90°)

then:

Sin(a) = 4/5

Asin(sin(a)) = Asin(4/5)

a = Asin(4/5) = 53.13°

And:

Cos(b) = 2/5

Then:

Acos(Cos(b)) = Acos(2/5)

b = Acos(2/5) = 36.67°

Then:

Cos(a - b)

where:

a = 53.13° and b = 36.67°

Then:

Cos(a - b) = Cos(53.13° - 36.67°) = 0.959


Related Questions

Question: Write a word problem that involves terms and coefficients. Discuss how you would go about solving this problem.

Answers

Answer:

Mk. So I think you should only copy the part that is in bold.

Terms are something that is being added together. Factor is something that is being multiplied together. A coefficient is a number that is being multiplied by the variable. The 2x, 6x, and 14 are terms because they are being added together.

Three friends played a target game at a carnival.

•Elsie hit the target 5 out of every 8 times.

•Anjani hit the target 60% of time.

•Derek hit the target 5/6 of the time.


Which list shows the friends in order from the person who hit the target the least percent of the time to the person who hit the target the greatest percent of the time?

Answers

Answer:

Step-by-step explanation:

It’s B trust me

Use long division to find the value of 1875 ÷ 15 THIS IS A DIVISON PROBLEM SINCE THE OTHER ONE I WROTE A MULTIPLICATION PROBLEM​

Answers

The answer to 1875/15 is 125 with no remainder!

The division is given below.

The quotient is 125 and the remainder is 0.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

1875 ÷ 15

This can be written as,

 15 ) 1875 ( 125

        15    

          37    

          30

            75

            75

              0

Thus,

The quotient is 125 and the remainder is 0.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

I need help with this

Answers

Answer:

105 by alternate interior

Step-by-step explanation:

105 by alternate interior

Five less than the product of -2 and a number is -13

Answers

Answer:

-2 -5 + 13 = x

Step-by-step explanation:

x would be the product

and i dont know if i got this correct o.O

I tried is all imma say

Which of the following equations is equivalent to 3/4a-6=1/4

Answers

Answer:

x=25 over 3

Step-by-step explanation:

3÷4a-6=1÷4 convert to

3

_x-6= 0.25

4

3x-24=1

3x=24+1

3x=25

divide both sides by 3 and you'll get:

25

----

3

Answer:

Im pretty sure its 3a - 6 = 1  if not try again and its going to be 3a - 24 =24 sorry if its wrong:)

Step-by-step explanation:

I did not mean to put not helpful

HELP SOON! Please!!!!
How does an outlier affect the mean of a population? The median? The range?
How can we adjust for the effects of outliers?

Answers

the person who answered already is correct

X squared over 5 gives you what?

Answers

Answer:(x^(2))/(5)

Step-by-step explanation

6. When 4 times the number x is added to 12, the result is 8. What number results when 2
times x is added to 7?

Answers

Answer: 5

Step-by-step:

1. set up equations : 4x+12=8 and 2x+7=?

2. solve for x in the first eq.

4x + 12 = 8

4x = -4

x = -1

3. plug x = -1 into  2x+7=?

2 ( -1 ) + 7 =

-2 + 7 =

5

Simplify each expression by combining like terms:
9m-7m+13
Please explain if you can

Answers

subtract 9 and 7 (9-7) which gives you 2m
the answer is 2m+13

Whoever answers first will get marked Best!A cheetah runs 177 miles in 3 hours,at this rate how many hours will it take to travel 531 miles?

Answers

Answer:

9 hours

Step-by-step explanation:

brainliest plss???

Can y’all solve this please

Answers

Answer:

it = my but lol

Step-by-step explanation:

lol sorry just trying to get points

What is the measure of angle x?

Answers

Answer:

43

Step-by-step explanation:

90-47=43

Write an equation to represent the hanger.
Explain how to reason to find the value of x.

Answers

Answer:

a big pastry stuffed with cheese

Step-by-step explanation:

Answer:

2x = 1

Step-by-step explanation:

40 points and will mark brainliest
The table shows five transactions and the resulting account balance in a bank account, Three numbers are missing. Select the answer that has the missing numbers that best completes the table.
Transaction Amount Account Balance
Transaction 1 200 200
Transaction 2 -140 60
Transaction 3 50 A) ?
Transaction 4 -210 B) ?
Transaction 5 C) ? 0
Group of answer choices
A) 110 B) 100 C) -100
A) 110 B) -100 C) 100
A) 10 B) -200 C) 200
A) 50 B) -210 C) 0

Answers

Answer:

what she said

Step-by-step explanation:

Which quadrilateral always has four sides of the same length?

isosceles trapezoid
parallelogram
square
rhombus
It’s multi choice

Answers

square is the right answer for this question

Answer:

square,rhombus,parallelogram, and i think thats it

Step-by-step explanation:

can you please help me with this question?​

Answers

Answer:

I have made it in above picture

hope it helps

PLEASE ANSWER QUESTION

Answers

Answer:

1.) y=-2x+4

2.) y=1x-1

Step-by-step explanation yw

An angle with a measurement of 90 degrees is called?

Answers

Answer:

A right angle

Step-by-step explanation:

Answer:

Right angle. Its angle is in the corner and measured 90 degrees.

Step-by-step explanation:

amelia spent $5.25 for a drink and a sandwich or drink cost $1.35 did she have a turkey sandwhich for $4.22 a tuna sandwich for $3.92 or ham sandwich for $3.46 use the equation S +1.35=5.27 to justify your answer

Answers

Answer:

$3.46 or $3.92

Step-by-step explanation:

it has to be $3.46 because you have to remember that tax is included and it could cost more than what you are paying for the sandwich or drink. but the other possible answer is $3.92 if you're not paying any tax.

Suppose that in a certain country, 10% of the elderly people have diabetes (call this Event D). It is also known that 30% of the elderly people are living below poverty level (call this Event P), 35% of the elderly population falls into at least one of these categories, and 5% of the elderly population falls into both of these categories. If a randomly selected elderly person is living below the poverty level, what is the probability that she/he has diabetes

Answers

Answer:

0.1667 = 16.67% probability that she/he has diabetes

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Living below the poverty level.

Event B: Having diabetes.

30% of the elderly people are living below poverty level.

This means that [tex]P(A) = 0.3[/tex]

5% of the elderly population falls into both of these categories.

This means that [tex]P(A \cap B) = 0.05[/tex]

If a randomly selected elderly person is living below the poverty level, what is the probability that she/he has diabetes

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.05}{0.3} = 0.1667[/tex]

0.1667 = 16.67% probability that she/he has diabetes

In a certain city, the population mean commute time to work was reported as 30 minutes. The director of human resources for a certain company in the city claimed the mean commute time for the
company's employees was greater than 30 minutes. The director surveyed 35 randomly selected employees and found that their mean commute time was 31.4 minutes. With all conditions for
inference met, a hypothesis test conducted at the significance level a = 0.05 resulted in a p-value of 0.381
Which of the following is an appropriate conclusion?

Answers

Answer:

Answer.The director does not have convincing statistical evidence to conclude that the population mean commute time is greater than 30 minutes.

Because the p value is very high and higher than level of significance ,so we fail to reject null hypothesis.

Bill invests $3000 in a bound fund with an interest rate of 9% per year. If bill does not withdraw any money, in how many years will his bond fund be worth $5000?

Answers

Answer:

around 5.93 years

Step-by-step explanation:

A=P(1 + r/n)^n(t)

5000=3000(1 + .09/1)^1(t)

A consumer products company is formulating a new shampoo and is interested in foam height (in millimeters). Foam height is approximately normally distributed and has a standard deviation of 20 millimeters. The company wishes to test Upper H Subscript 0 Baseline colon mu equals 175 millimeters versus Upper H Subscript 1 Baseline colon mu greater-than 175 millimeters, using the results of n equals 4 samples. Calculate the P-value if the observed statistic is

Answers

Answer:

The p-value of the observed statistic is 0.15866

Step-by-step explanation:

The given parameters of the system are;

The standard deviation of the foam height, σ = 20 mm

The null hypothesis, H₀; μ = 175 mm

The alternative hypothesis, Hₐ; μ > 175 mm

The number of observations that make the sample, n = 4

The observed statistic, [tex]\overline x[/tex] = 185

The test statistic is given as follows;

[tex]Z=\dfrac{\bar{x}-\mu }{\dfrac{\sigma}{\sqrt{n}}}[/tex]

Therefore, we get;

[tex]Z=\dfrac{185-175 }{\dfrac{20}{\sqrt{4}}} = 1[/tex]

P(Z > 1) = 1 - P(Z < 1) = 1 - 0.84134 = 0.15866

The p-value of the observed statistic = 0.15866

Rewrite the expression using the fewest terms possible n ( 3 + 2) + 3n

Answers

8n

Add 3 and 2 to get 5

n x 5 + 3n

n x 5 = 5n

5n + 3n = 8n

PLEASE HELP THIS ASSIGNMENT IS OVER DUE

Answers

29+8x is the answer

Answer:

15 +5x +24 +8x

39 + 13x is answer

Dollhouse furnishing comes in different sizes depending on the size of the dollhouse. Write a ratio of the size of the dollhouse item to the size of the larger item.
dollhouse sofa: 112 in. long
real sofa: 6 ft long

Answers

Answer:

20ft

Step-by-step explanation:

The ratio of the size of the dollhouse item to the doll house is 14 : 9.

What are ratios?

Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s).

What are the ratios of the dollhouse item to the doll house ?

First convert feet to inches

1 feet = 12 inches

12 x 6 = 72 inches

dollhouse item : doll house

112 : 72

14 : 9

To learn more about ratios, please check: https://brainly.com/question/25927869

The radius of the circle is 2.5 cm. - Find the circumference of the circle. Round your answer to the nearest centimeter
2.5 cm
8 cm
O 16 cm
O 79 cm
O 157 cm

Answers

Answer:

I would say A but i am not sure i did not take the test

Step-by-step explanation:

Connie has to solve the following problem.
5 boxes of cereal costs $12.50. How much will 18 boxes cost.
Choose EVERY proportion Connie could use to solve this problem.
- 12.5/5 = 18/x
- 5/12.5 = 18/x
- 5/12.5 = x/18
- 5/18 =12.50/x

Answers

Answer: A

Step-by-step explanation:

Because to find if proportional you need to divide

A triangle has side lengths of 8 cm, 15 cm, and 17 cm. Classify it as acute, obtuse, or right.
acute
obtuse
O
right​

Answers

Answer:

[tex]15^{2}[/tex]  = 225

[tex]8^{2}[/tex] = 64

[tex]17^{2}[/tex] = 289

[tex]15^{2}[/tex]  +  [tex]8^{2}[/tex] +  [tex]17^{2}[/tex]

= 225 + 64 = 289

289 = 289

Hence its a right angled triangle

Hope it helps

Please mark me as the brainliest

Thank you

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