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

could you help me pleas

Answers

21 for 3 and 10 for 70
First gap is 21
Second gap is 10

You know that 28 strawberries make 4 smoothies, so you also know that 7 strawberries makes 1, you find this out by dividing 28 by 4.

You then need to do 7 x 3 which is 21, and 70 / 7 which is 10.

Hope this helps x

What is the value of x in the figure above? Assume ↔B and ↔C are parallel.

Answers

Answer:

x=4

Step-by-step explanation:

180-58=26x+18

122=26x+18

122-18=26x

104=26x

4=x

Formula
=6s2


gives the surface area A of a cube with a side length s.

The surface area of a cube that has a side length of 5 inches is _______________inches squared.

*No need to label this answer.*. Please help me

Answers

Answer:

the surface area of the cube is 150 inches squared

Step-by-step explanation:

The computation of the surface area of the cube is shown below:

As we know that

The surface area of the cube is

= 6s^2

= 6(5)^2

= 150 inches squared

hence, the surface area of the cube is 150 inches squared

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

Answer this page: BIG REWARD GRANTED

Answers

Answer:

there seems to be no page ...

Help pls pls i beg i dont wanna fail

Answers

Answer:

1/2 < 3/4

2/6 > 2/8

Step-by-step explanation:

3/4 is bigger than 1/2 and 2/6 is bigger than 2/8.

What are the answers to the puzzle?

Answers

Answer:

1) 25°

2) 155°

3) 25°

4) 25°

5) 110°

6) 30.5°

7) 41°

Step-by-step explanation:

5) 5x + 15 = 8x - 42,  3x = 57,   x= 19, ∠CDE = 5(19) + 15 = 110°

6) 3x + x + 4 + 70° = 180°,  4x = 106°, x = 26.5°, ∠ABC = 26.5° + 4° = 30.5°

7) 2x + x + 4 + 65° = 180°, 3x = 111°, x = 37°, ∠MNO = 37° + 4° = 41°

What is 696 divided by 12 and show your work please

Answers

Answer:

696/12

696/12 math problems division = 58. Therefore 58 to 2 decimal places= 58

696/12 divided by 2 » (696/12) ÷ 2 » 58 ÷ 2 = 29

Step-by-step explanation:

The answer is 58 mark me brainliest

how do I find a midpoint between (4,-1) and (-8,3)​

Answers

Answer:

(-2,1)

Step-by-step explanation:

Midpoint formula:

(x1 + x2)/2, (y1 + y2)/2

Substitute needed values.

4 + -8 = -4

-4/2 = -2

Now for the y's

-1 + 3 = 2

2/2 = 1

MIDPOINT: (-2,1)

equation of a line that has a slope of -2 and passes through the point (-1,4)

Answers

Answer:

y=mx+b

Step-by-step explanation:

thats the formula i think

I need help please.

Answers

Answer:

A

Step-by-step explanation: its questionable but i think its A

Which of the following methods would be the easiest to use to solve 2x2 + 4x — 7 = 0?
A factoring
B All three methods would be easy and effective.
C using the quadratic formula
O isolating the x2 term and finding the square root of both sides

Answers

Answer: x=0.75

Step-by-step explanation:

Help please help. Need answer ASAP. 15 points. Help help help.

Answers

Answer:

ㅜ료우료ㅠㅠㅗ프ㅡㅓ효유ㅠ슈유슈뤂ㄹ푸ㅛㅜㅠ로휴ㅜ휴ㅐㅓㄴㅁㄱ무홈

Step-by-step explanation:

쵸푳퓨추르ㅛㅛㅠ롰ㄹ류ㅗ슔ㄹㅅ휴ㅗ료ㅓㅕ

13u+4u-10=7 what does u=?

Answers

Answer:

1

Step-by-step explanation:

5th grade math. correct answer will be marked brainliest. what are the last 2 boxes?

Answers

Answer:

you forgot (2,28) :)

Step-by-step explanation:

the answer should be (5,37)

what is 52.00 times 8.75

Answers

Answer: 455

Step-by-step explanation:

Answer:

455

Step-by-step explanation:

hope you find this helpfull

Please help1
An observer is watching a bird from the ground as shown. What is the bird's distance from the ground, in miles, as shown in the diagram? Round to the nearest tenth.

Answers

Answer:

? = 1.5 miles

Step-by-step explanation:

?^2 + 1.2^2 = 1.9^2

? = 1.473

The distance of bird from the ground is 1.47 miles.

What is a right angle triangle?

A right-angled triangle is a triangle, that has one of its interior angles equal to 90 degrees or any angle is a right angle.

In the given diagram,

The distance between observer and bird = 1.9 miles,

And the distance from observer to the ground = 1.2 miles.

Let the distance of bird from ground is h miles.

To find the distance of bird from ground,

Use Pythagoreans theorem,

(1.9)² = (1.2)² + h²

3.61 = 1.44 + h²

3.61 - 1.44 = h²

2.17 = h²

h = 1.473 miles

The distance of bird from the ground is 1.47 miles.

To know more about Triangle on :

https://brainly.com/question/2773823

#SPJ2

PLEASE ANSWER THESE QUESTIONS CAREFULLY thank you so much

Answers

Answer:

Positive slope- line B

negative y-intercept- line C

slope of 0- line C

Step-by-step explanation:

Positive slope- line B This is because the line is angled upward on the right side

negative y-intercept- line C- the line is below the (0,0) mark

slope of 0- line C This is because the line isn’t angle upward nor downward.

Choose Yes or No to tell if the expression is equal to 8 x 40.

Answers

no i don’t think so

Jayden and Carson are selling T-shirts and sweatshirts with the school logo. Jayden sells 9
T-shirts and 3 sweatshirts for $288. Carson sells 1 T-shirt and
6 sweatshirts for $270. Find the selling prices of each item,
1. Write a system of equations to represent the situation.
2. Solve the system of equations.
Part A
Use elimination or substitution to solve. Show your work.
Part B
Which method of solving did you choose? Explain your reasoning,

Answers

Answer:

They are ripping off their customers, $270 for 6 tops?

Step-by-step explanation:

I'm sorry, I just had to say that. these qhestions were in SATs tests and not I've forgotten how to do them, I'm sorry for bringing your hopes up

The vector matrix [-3,-5] is rotated at different angles. Match the angles of rotation to the vector matrices they produce.

Answers

Answer: The above answer is correct.

Step-by-step explanation: I got this correct on Edmentum.

Answers

[tex]A' = \left[\begin{array}{cc}5.830\\-0.098\end{array}\right][/tex], [tex]\theta = \frac{2\pi}{3}[/tex]

[tex]A' = \left[\begin{array}{cc}-5.657\\-1.414\end{array}\right][/tex], [tex]\theta = \frac{7\pi}{4}[/tex]

[tex]A' = \left[\begin{array}{cc}-2.83\\5.098\end{array}\right][/tex], [tex]\theta = \frac{4\pi}{3}[/tex]

[tex]A' = \left[\begin{array}{cc}5\\-3\end{array}\right][/tex], [tex]\theta = \frac{\pi}{2}[/tex]

This exercise consist in finding the resulting Vector Matrix for each Angle of Rotation and a given Vector Matrix. The result is found by multiplying the given Vector Matrix for a Rotation Matrix, defined below as follows:

[tex]A' = R\cdot A[/tex] (1)

Where:

[tex]A[/tex] - Given vector matrix.

[tex]R[/tex] - Rotation matrix.

[tex]A'[/tex] - Resulting vector matrix.

For 2-dimension Vector Matrices, The Rotation Matrix is defined by the following entity:

[tex]R = \left[\begin{array}{cc}\cos \theta&-\sin \theta\\\sin \theta&\cos \theta\\\end{array}\right][/tex] (2)

Where [tex]\theta[/tex] is the Angle of Rotation, in radians.

Let be [tex]A = \left[\begin{array}{cc}x\\y\end{array}\right][/tex], the resulting vector matrix is found by (1) and (2):

[tex]A' = \left[\begin{array}{cc}\cos \theta&-\sin \theta\\\sin \theta&\cos \theta\end{array}\right] \cdot \left[\begin{array}{cc}x\\y\end{array}\right][/tex]

[tex]A' = \left[\begin{array}{cc}x\cdot \cos \theta - y\cdot \sin \theta\\x\cdot \sin \theta +y\cdot \cos \theta \end{array}\right][/tex]

If we know that [tex]A = \left[\begin{array}{cc}-3\\-5\end{array}\right][/tex], then the resulting vector matrix for each angle is, respectively:

[tex]\theta = \frac{\pi}{4}[/tex]

[tex]A' = \left[\begin{array}{cc}1.414\\-5.657\end{array}\right][/tex]

[tex]\theta = \frac{\pi}{2}[/tex]

[tex]A' = \left[\begin{array}{cc}5\\-3\end{array}\right][/tex]

[tex]\theta = \frac{2\pi}{3}[/tex]

[tex]A' = \left[\begin{array}{cc}5.830\\-0.098\end{array}\right][/tex]

[tex]\theta = \frac{4\pi}{3}[/tex]

[tex]A' = \left[\begin{array}{cc}-2.83\\5.098\end{array}\right][/tex]

[tex]\theta = \frac{5\pi}{3}[/tex]

[tex]A' = \left[\begin{array}{cc}-5.83\\0.098\end{array}\right][/tex]

[tex]\theta = \frac{7\pi}{4}[/tex]

[tex]A' = \left[\begin{array}{cc}-5.657\\-1.414\end{array}\right][/tex]

Therefore, we have the following answers:

[tex]A' = \left[\begin{array}{cc}5.830\\-0.098\end{array}\right][/tex], [tex]\theta = \frac{2\pi}{3}[/tex]

[tex]A' = \left[\begin{array}{cc}-5.657\\-1.414\end{array}\right][/tex], [tex]\theta = \frac{7\pi}{4}[/tex]

[tex]A' = \left[\begin{array}{cc}-2.83\\5.098\end{array}\right][/tex], [tex]\theta = \frac{4\pi}{3}[/tex]

[tex]A' = \left[\begin{array}{cc}5\\-3\end{array}\right][/tex], [tex]\theta = \frac{\pi}{2}[/tex]

Related question: https://brainly.com/question/11815899

r+6<10 what’s the answer?

Answers

Answer:

r < 4

Step-by-step explanation:

r+6<10

r < 4

Fill in the blanks please. Please show work

Answers

Step-by-step explanation:

1. given

2. vertical angles

3. alternate interior angles

4. AA I think

Answer:

number 1 hehehehej2b2ii2

leeeeeeeeetttt'ssssssssss gooooooo gurl get your groov

Answers

Answer:

yaaa groooov

Step-by-step explanation:

find the value of x if log3 625=x

Answers

Given:

The equation is

[tex]\log_3625=x[/tex]

To find:

The value of x.

Solution:

We have,

[tex]\log_3625=x[/tex]

It can be written as

[tex]\log_3(5)^4=x[/tex]

[tex]4\log_3(5)=x[/tex]              [tex][\because \log x^n=n\log x][/tex]

[tex]4\dfrac{\log (5)}{\log (3)}=x[/tex]               [tex][\because \log_ab=\dfrac{\log_xb}{\log_xa}][/tex]

[tex]4\times \dfrac{0.69897}{0.47712}=x[/tex]

[tex]x\approx 5.8599[/tex]

Therefore, the value of x is about 5.8599.

Write down the value of the 5 in each of these
numbers.
8.154
751 602
1 567 324 896​

Answers

Answer:

8.154 - 0.05

751 602 - 50 000

1 567 324 896 - 500 000 000

write an expression that mean "eight less than product of seven and X".​

Answers

Answer:

7x - 8

Step-by-step explanation:

eight less than product of seven and X

seven and x = 7x

eight less than = - 8

put it all together = 7x - 8

Answer:

7x - 8

Step-by-step explanation:

product of seven and X

7 X x = 7x

8 less than it

7X - 8

This is because we're looking for something that is smaller than 7X by 8

help me with this root problem....

Answers

Answer:

No real roots

Step-by-step explanation:

When graphed, doesn't cross the x-axis

2 I think sorry if I’m wrong

% growth Growth factor

a 19% (1 + 0.19) = 1.19

b 3% ____________________

c 9.1% ____________________

d 41.3% ____________________

Answers

Answer:

growth factor for what?

ill mark brainlist plss help

Answers

Answer:

it's the3rd one

Step-by-step explanation:

it's is 182 feet

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