Please answer quickly


Given: sin(A) = 4/5, pi/2 < A < pi and sin(B) = -2root5/5, pi < B < 3pi/2 What is the value of cos(A – B)?

Answers

Answer 1

Answer:

-√5/5

Step-by-step explanation:

Given the following

sin(A) = 4/5

sinB - -2√5/5

SinA = 4/5 = opp/hyp

We can get cosA

opposite = 4

hypotenuse = 5

Adj = √5²-4² (pythagoras theorem)

Adj = √25-16

Adj = √9

Adj = 3

Cos A = Adj/hyp

Cos A = 3/5

Also

Sin B = -2√5/5 = opp/hyp

opposite = -2√5

hypotenuse = 5

Adj = √5²-(2√5)² (pythagoras theorem)

Adj = √25-20

Adj = √5

Cos B = Adj/hyp

Cos B =  √5/5

Evaluate cos (A-B)

cos (A-B) = cosAcosB + sinAsinB

cos (A-B) = 3/5(√5/5)+4/5(-2√5/5)

cos (A-B)  = 3√5/25 - 8√5/25

cos (A-B) = -5√5/25

cos (A-B) = -√5/5

Hence the value of cos (A-B) is -√5/5


Related Questions

Pleaseee helppp!!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

D) None of the above, since it is not a closed figure.

Can someone help with this 25 point
1,2,3

Answers

Answer:

(if violation occurs in an active work zone, 15-day suspension).

Step-by-step explanation:

Which best explains why the equation y=2x+3 does or does not represent a proportional relationship?

Answers

Answer:

It represents a non-proportional relationship

Step-by-step explanation:

because in order for it to be proportional it has to pass (0,0) but this equation's y-intercept is (0,3).

Marcos is flying a kite 35 feet above an oak tree. The angle of elevation to the top of the tree is 16 degrees and the angle of elevation to the kite is 25 degrees. What id the distance, b, to the nearest foot marcos is standing from the tree?

Answers

9514 1404 393

Answer:

  195 ft

Step-by-step explanation:

The relationship between the horizontal distance, angle, and vertical height is given by ...

  Tan = Opposite/Adjacent

Referring to the attached diagram, we have ...

  tan(16°) = BT/MB

  tan(25°) = BK/MB

Solving for BT and BK, we can describe their difference as ...

  BT = MB·tan(16°)

  BK = MB·tan(25°)

  BK -BT = 35 = MB(tan(25°) -tan(16°))

Dividing by the coefficient of MB gives ...

  MB = 35/(tan(25°) -tan(16°)) = 35/0.179562

  MB = 195 . . . feet

Marcos is standing 195 feet from the base of the tree.

Need this very badly​

Answers

Answer:

I belive the answer is b

Step-by-step explanation:

hope this helps !!!

Neeeeeeeeeeed helppppppppp plssssssss

Answers

Your answer is b !!!


Can you mark me BRAINLEST?

Maya is 14 years old. Her brother Jorge is 3 years more than half her age. Which of the following is the correct expression for Jorge's age?

Answers

14/2+3 would be the correct expression to find his age.He’s is 10 btw.
Brainliest maybe?:)
Have a nice day

The correct expression for Jorge's age is (14 ÷ 2) + 3

What is an expression?

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given that, Maya is 14 years old. Her brother Jorge is 3 years more than half her age.

We need to determine an expression for Jorge's age,

So, If you divide her age by two and add 3 then you will get Jorge age and that is what the question is asking,

i.e. (14 ÷ 2) + 3

Hence, the correct expression for Jorge's age is (14 ÷ 2) + 3

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(-1/2 + 5/2) + a =0 solve for a

Answers

Answer:

a = -2

i hope this helps

Answer: a = - 2

Step-by-step explanation:

[tex]\bigg (-\dfrac{1}{2} +\dfrac{5}{2} \bigg )+ a=0\\\\ \dfrac{4}{2} +a=0\\\\2+a=0\\2+a-2=0-2\\a=-2[/tex]

BRAINLIEST IF CORRECT
A state offers two lottery games, Winone and PlayBall. Both games cost $2 per ticket.
• In Winone, the player picks a single letter from A to J and a single digit from 0 to 9. If both the letter and the digit match the letter and the
digit picked on that day, the player wins $150.
• In PlayBall, the player picks a single letter from A to T and a single digit from 0 to 9. If both the letter and the digit match the letter and the
digit picked on that day, the player wins $280.
If the prize for WinOne were increased to $200 for matching both the letter and the digit, what would the expected value be?
ОА.
-$0.80
OB. $0.65
C. $0
OD. $0.80

Answers

Given that In Playball, the player picks a single letter from A to Tand a single digit from 0 to 9. If both the letter and the digit match the letter and the
digit picked on that day, the player wins $280, changed to 250.
Game cost = 1 dollar
There are 20 alphabets and 9 digits
No of ways to select at random =
No of ways to win = 1
So probability to win =
Since he has to pay 1 dollar whether he wins or not
PDF of X amount net won or net value would be
X -1 249 Total
p 1
xp -
Expected value = 0.38889

Pls explain how you got the answer also ☺️

Answers

Answer: x = 250

Step-by-step explanation:

-17 + x/5 = 33

+17 on each side to get rid of the 17

x/5 = 50

Multiply each side by 5 to cancle out the 5 and isolate the variable

x = 250

In which of the following sets can each
number only be classified as rational?
A {0, - 18 , 124, -3, 3)
B {3.5, -4, 23.8, -1.2, 0}
C {-5, 13, 233, 42,3)
D {-7.75, -5.8, 0.125, 4, 21}

Answers

The answer to the question is A

93% of what number is 25?​

Answers

Answer: The answer is 327

Explanation: 93×100/25 = 327

Simplify. 4(w-5)-6w please help ASAP

Answers

Answer:

-2w-20

Step-by-step explanation:

distribute => 4w-20-6w = -2w-20

Answer:

-2w - 20

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Algebra I

Terms/Coefficients/Degrees

Step-by-step explanation:

Step 1: Define

4(w - 5) - 6w

Step 2: Simplify

Distribute 4:                    4w - 20 - 6wCombine like terms:       -2w - 20

At Trace State Park in Mississippi, there is a 40-mile mountain bike trail. Tommy rode 1/2 of the trail on Saturday and 1/4 of the trail on Sunday. He estimates that he rode more than 22 miles over the two days. Is Tommy’s estimate reasonable? Justify your reasoning !

Answers

Answer: 17.5 out of 25

I hope this helped

Step-by-step explanation:


cups of water fill 4 identical water bottles. How many cups fill each bottle?

Answers

Answer:

.8 or 4/5ths cup

Step-by-step explanation:

divide number of bottles by cups

4 1/2 is 4.5

5 5/8 is 5.625

4.5/5.625 = .8 (or 4/5ths)

Find the y value for the point that divides the line segment XY into a ratio of 1:2. Segment XY is shown. X is at -6, -1 and Y is at 5, 1.
A. −0.3
B. 6.2
C.3
D. 2.8
I believe its -0.3, but I'm not completely sure.

Answers

Answer:

-0.3

Step-by-step explanation:

I think it is -0.3 because the other ones wouldn't make any sense if you put in on the number line but I'll come back when I finish the test to tell you if its right :)

Edit** It is correct I just took the test :)

For the point that divides the line segment XY into a ratio of 1:2,

Y value is -0.3.

Option A is correct

What is section formula?

In coordinate geometry, Section formula is used to find the ratio in which a line segment is divided by a point internally or externally. It is used to find out the centroid, incenter and ex-centers of a triangle.

Given point

X = ([tex]x_{1},y_{1}[/tex]) = (-6,-1)

Y = ([tex]x_{2} ,y_{2}[/tex]) = (5,1)

Ratio = 1:2

For point (x1, y1) and (x2, y2) on coordinate plane if is divided in ratio of m:n.

Then section formula is given by [tex](\frac{mx_{2}+nx_{1} }{m+n},\frac{my_{2}+ny_{1} }{m+n})[/tex].

Using the section formula,

[tex](\frac{mx_{2}+nx_{1} }{m+n},\frac{my_{2}+ny_{1} }{m+n})[/tex]

= [tex](\frac{(1)(5)+2(-6)}{1+2} , \frac{1(1)+2(-1)}{1+2})[/tex]

= [tex](\frac{5-12}{3} ,\frac{1-2}{3})[/tex]

= [tex](\frac{-7}{3} ,\frac{-1}{3})[/tex]

x = -2.3 and y = -0.3

For the point that divides the line segment XY into a ratio of 1:2,

y value is -0.3.

Option A is correct

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solve for -5x < 2 step by step

Answers

Answer:

x > -2/5

Step-by-step explanation:

To solve this, you need to divide -5 on both sides to isolate x.

-5x < 2

x > -2/5

Because we divided by a negative number, the sign has to change direction.

what would the perimeter of this shape if we enlarged it by a scale of 2.5?

Answers

Answer:

260m

Step-by-step explanation:

32 would be=80

20 would be=50

80+80+50+50=260

please mark as brainliest!!!<3

what is the area of a circle whose radius is 4x centimeters? write your answer in terms of pi.

Answers

Answer:

16xpi

Step-by-step explanation:

To find the area of a circle the formula is pi r squared.

r represents radius, aka 4x.

4 times 4 yields 16.

Leaving you with 16xpi

Answer:

50.24

Step-by-step explanation:

A= πr^2

3.14 x 4^2 = 50.24

(4^2=16)

2) 2.25 is 62.5% of what number?

Answers

Answer:

250

Step-by-step explanation:

250 ÷ 400 = 0.625 = 0.625 × 100/100 = (0.625 × 100)/100 = 62.5/100 = 62.5% Answer: Percentage of 62.5% of what number = 250?

The required number whose 62.5% is 2.25 is given as 3.6.

Given that,
To determine the number whose 62.5% is 2.25.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Given that,
Let the number be x,
According to the condition,
62.5% of x = 2.25
0.625x = 2.25
x = 2.25/0.625
x = 3.6


Thus, the required number whose 62.5% is 2.25 is given as 3.6.

Learn more about simplification here:

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The above problem has completed the first step, distributing both sides of the equation.

Finish the problem and determine the value of x.

Answers

X=1

Add 4x to both sides
-4x+4x=0
8x+4x=12x

20=12x+8
Subtract 8 from both sides
20-8=12
12x=12

Divide those equations and that’s how I got the answer if I’m wrong I apologize....

Can someone help (8 grade math)

Answers

Answer:

Lateral surface area is the area of the sides, not including the base and top area, while total surface area is the entire surface area (including sides, base, and top).

A cylinder has a diameter of 20cm.

The height of the cylinder is 3/5 the length of the diameter.

Calculate the volume of the cylinder in terms of π

Answers

Answer:

V = 1200π

Step-by-step explanation:

Volume of a cylinder formula:

V = πr²h

Let's find the height of the cylinder by multiplying 20 cm by 3/5.

20 * 3/5 = 60/5 = 12 cm

The radius is 1/2 of the diameter, so:

20 * 1/2 = 20/2 = 10 cm

Substitute 12 for h and 10 for r into the volume formula.

V = π(10)²(12)

Simplify.

V = π * 100(12)  V = π * 1200

The volume of a cylinder, in terms of π, is V = 1200π.

A patient requires a 30% decrease in the dosage of his medication. His current dosage is 340 mg. What will his dosage be after the decrease?

Answers

Answer:

238

Step-by-step explanation:

340 times 0.7 is 238

Answer:

238

Step-by-step explanation:

30% of 340

30/100×340

3/10×34

3×34

102 is the decrease

So,340-102

=238

Can someone help me plzz??

Answers

Answer:

(0,20)

Step-by-step explanation:

1) we can represent the situation as coordinates

lets have # of texts be "x" variable

lets have bill be "y" as the y variable is always the dependant variable and the cost of the phone bill is dependant upon the number of texts so

y=mx+b-slope-intercept form

coordinates: (50,25) and (100,30)

slope: (30-25)/(100-50)

5/50=1/10

hence slope=1/10

y=1/10x+b

substitute in a coordinate pair into this equation

25=50*1/10+b

25=5+b

b=20

hence y intercept is (0,20)

A triangle has two angle measures of 20 degrees and 30 degrees. Find the third angle. This triangle is a(n) ________ triangle
options: acute obtuse right it does not make a triangle

Answers

Answer: obtuse

Step-by-step explantion: 20+30=50   180-50=130        130 is an obtuse angle.

A windowpane is 20 centimeters tall and the diagonal distance from one corner to the other is
25 centimeters. How wide is the windowpane?
centimeters

Answers

Answer:

The windowpane is 15 centimeters wide.

Step-by-step explanation:

Use the Pythagorean theorem:

a^2 + b^2 = c^2

20^2 + b^2 = 25^2

400 + b^2 = 625

b^2 = 225

b = 15

Brody set his watch 1 second behind, and it falls behind another 9 seconds every day. Write
an equation that shows the relationship between the days since watch was last set x and the
seconds behind y.
Write your answer as an equation with y first, followed by an equals sign.
Answer is you know this?

Answers

Answer:

y = -1 - 9x

Step-by-step explanation:

Brody's watch is already 1 second behind (the constant), and it falls behind 9 more seconds for every day (x).

Please help me if you can.​

Answers

Answer:

Step-by-step explanation:

DEFINITIONS

Standard Form: a way of expressing numbers that are too large or too small to be conveniently written in decimal form.

Monomial: a polynomial which has only one term.

Binomial: a polynomial that is the sum of two terms, each of which is a monomial.

EXAMPLES

Standard Form: 2x+3y=5 (Ax + By = C)

Monomial: 2x^2, 4y, etc.

Binomial: 3x + 5

A little girl is looking to select one crayon and one coloring book to do some drawing. She has 6 different colored crayons and 3 coloring books. How many different combinations of crayons and coloring books can she make if she selects one crayon and one coloring book to use?

Answers

6x3 equals 18 which if she take one crayon & 4 coloring books
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