PLEASE HELP WORTH 50 POINTS
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

Verify the identity:
sin(A+B)/sin(A-B) = tan(A)+tan(B)/tan(A)-tan(B)

Answers

Answer 1

Answer:cos( A + B ) = cosAcosB - sinAsinB ;

cos( A + B ) / ( cosAsinB ) = ( cosAcosB - sinAsinB ) / ( cosAsinB ) = ( cosAcosB ) / ( cosAsinB ) - ( sinAsinB ) / ( cosAsinB ) = cosB / sinB - sinA / cosA = cotB - tanA ;

                     

tan²(x) - sin²(x) = sin²(x)/cos²(x) - sin²(x)

… = sin²(x) (1/cos²(x) - 1)

… = sin²(x) (sec²(x) - 1)

… = sin²(x) tan²(x)

Step-by-step explanation:


Related Questions

Question 5 (1 point) 5 The Cool Shirts company prints personalized designs on T-shirts. The cost y for x shirts with the same design is shown in the table below. y 10 $105 20 $185 30 $265 4:0 $345 Which equation represents the relationship between x and yo! A y = 10x - 55 By = 80x + 105 C y = 8x + 25 D y = 25x + 8 a А B od​

Answers

Answer:

y = 8x + 25

Step-by-step explanation:

Using the coordinates (10, 105) and (20, 185)

The standard linear equation is expressed as y = mx+c

m is the slope

c is the intercept

m = 185 - 105/20-10

m = 80/10

m = 8

Get the y-intercept

Since y = mx+c

105 = 8(10) + c

105 = 80 + c

c = 105 - 80

c = 25

Get the required equation

Recall that y = mx+c

y = 8x + 25

Hence the required equation is y = 8x + 25

plssssssssss helpppppppppppppp will give brainliest

Answers

Answer:

The median of the data is 3.5

Expand and simplify
2(2a - b) + 5(3a - 2b) pls quick​

Answers

Answer:

19a - 12b

Step-by-step explanation:

2(2a - b) + 5(3a - 2b)

4a - 2b + 15a - 10b

19a - 2b - 10b

19a - 12b

Pythagorean theorem Digital Escape Puzzle 4,Need Answer Immediately!!!

Answers

Answer:

AGIB

Step-by-step explanation:

I solved it eh.

Pretty simple honestly.

But school ends!

Each side and each area were calculated using the Pythagoras theorem.

What is the Pythagoras theorem?

The Pythagoras theorem states that, in a right triangle, the sum of squares of shorter sides is equal to the square of the hypotenuse.

So, using the Pythagoras theorem

[tex]TU^2=175^2-79^2[/tex]

[tex]TU^2=24384[/tex]

[tex]TU=156.15[/tex]

So, the corresponding area of the rectangle = 156.15*79 =12335.85 square units.

Similarly, [tex]GH = \sqrt{207^{2}-98^2 }[/tex]

[tex]GH=182.33[/tex]

So, the corresponding area of the triangle = 0.5*182.33*98 = 8934.27 square units.

Thus, each side and each area were calculated using the Pythagoras theorem.

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Matt has 4 decelitres of milk. will the milk fill a 1 liter bottle?​

Answers

Answer:

no

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

4 deciliters is equal to 0.4 liters.

1 deciliters is equal to 0.1 liters.

So the answer is no.

PLEASE HELP MEEEE I NEED THE ANSWER AHH

Answers

answer:

0

step by step explanation:

I THINK THE ANSWER IS 0 BUT I DONT KNOW

Which of the following relations is a function?
A.
(5, 10), (-8, 2), (-1, 8), (-5, 10)

B.
(10, 5), (2, -8), (8, -1), (10, -5)

C.
(5, 10), (-8, 2), (-1, 8), (-1, -5)

D.
(-1, 10), (-8, 2), (-1, 8), (-8, -5)

Answers

Answer:

A. (5, 10), (-8, 2), (-1, 8), (-5, 10)

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Which statement about the data is true?

228, 251, 22, 206, 254, 288, 228, 242




The mean, median, and mode are all appropriate measures of center.

The median is the only appropriate measure of center.

Both the mean and median are appropriate measures of center.

Both the median and mode are appropriate measures of center.

Answers

Answer:

correct answer is the last one is true i think so

Solve the inequality

Answers

Answer:

n < 7

Step-by-step explanation:

Solve the bracket first (9-18n)

add the n together (-15n)

add the 9 and the -96 together (-105)

Divide 105 and 15n (7)

n < 7

Have a good day :)

How do you factor trinomials step by step

Answers

Answer:

Step 1: Identify the values for b and c. In this example, b=6 and c=8.

Step 2: Find two numbers that ADD to b and MULTIPLY to c. This step can take a little bit of trial-and-error. ...

Step 3: Use the numbers you picked to write out the factors and check

Step-by-step explanation:

thank me later

What is the median number of 4,4,2,1,4

Answers

Answer:

median: 4

Step-by-step explanation:

which number sentence is true? plz help
3 boxes on top
8 boxes on the bottom
2/3 < 6/8

2/3 < 2/8

1/8 > 1/3

3/3 < 3/8

Answers

Answer:

True: 2/3 < 6/8

Step-by-step explanation:

The rest are incorrect.

PLEASE ANSWER MY QUESTION

Answers

Answer:

A. 3 stores

Step-by-step explanation:

Answer:

Answer is A

Step-by-step explanation:

There are 3 stores farther than 3.5 miles

Solve each system of linear equations by using substitution method.

x - y = -2
2x + y =5

100 POINTS PLS ANSWER

Answers

Answer: x=1 y=3....do you need to show your work?

Answer:

x = 1, y = 3

Step-by-step explanation:

Given:

x - y = -2

2x + y = 5

First, add y on both sides for the first equation.

x = y - 2

Then, plug in x into the second equation.

2(y -2) + y = 5

2y - 4 + y = 5

3y = 9

y = 3.

Next, now that you've found y, plug it into either the first or second equation to solve for x. I'll be using the second equation.

2x + 3 = 5

2x = 2

x = 1.

Ans: x = 1, y = 3

yeah i really need help i have been at it for hours o btw u get brainly if u get it right

Answers

Answer:

(-5,-5)

Step-by-step explanation:

Connect The points H and F so it forms a right angle

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

G = (-5,-5)

Step-by-step explanation:

d = sqrt (x^2 - x^1)^2 + (y^2 - y^1)^2

Let's use the coordinate pairs: (6,4) and (6,-5).

Input.

d = sqrt (6 - 6)^2 + (-5 - 4)^2

Solve.

d = sqrt 0 + (-9)^2

d = sqrt 0 + 81

d = sqrt 81

d = 9

Count 9 places back from (6, -5) , then you will arrive at (-5,-5).

Thus, the fourth vertex of the rectangle "EFGH" is (-5,-5) for G.

How do I do this equation to get the x and y some one please help me y=-20x+14 y=-8-44

I am giving 30 points

Answers

Answer:

y=-8-44

=-52

y=-20x+14

-52=-20x+14

-20x=-52-14

-20x=-66

x=-66

-20

y=3.3

[tex]\frac{t}{4}[/tex] > 4 solve the inequality with working for brainlest

Answers

Answer:

Step-by-step explanation:

A triangle has an area of 300 square inches. The height of the triangle is 12.5 inches. What is the
base of the triangle?

A:24 inches

B:48 inches

C:12 inches

D:30 inches

Answers

answer is c




hope it helps

Answer:

C Base x Height ÷ 2. 300 ÷ 2 = 150. 150 ÷ 12 .5 is 12.

Which equation could be represented by the number line

Answers

Answer:

A

Step-by-step explanation:

I took the test

Diego predicts that his basketball team has two third probability of winning each of their next seven games select two ways Diego could accurately simulate the number of games his team will win
A , put the number 0 through 7 in a bag pick a number from the back
B, will a standard number cube 7 times count the number of twos
C, roll a standard number cube 7 times count how many of ones to threes and fours
D, Marcus spinner with 12 equally sized sections right when on four of the sections spin the spinner seven times and count the number of times it ends on the win
E, put 10 white chips and fiber chips in a bag draw a chip from the bag record its results and put it back in the bag do the seven times and count the total number of white chips drawn

Answers

Answer:

C and D

Step-by-step explanation:

Both have a 2/3 chance of success, and are completed 7 times :)

let me know if you need more explanation

Options (C) and (D) are same as Diego predictions.

What is probability?

Probability deals with the occurrence of a random event. The chance that a given event will occur. It is the measure of the likelihood of an event to occur.The value is expressed from zero to one.

For the given situation,

Diego predicts that his basketball team has two third probability of winning each of their next seven games.

The probability of winning = [tex]\frac{2}{3}[/tex]

We need to choose from the option, which has the same probability as above.

Option A:

Put the number 0 through 7 in a bag pick a number from the back.

Here, the probability = [tex]\frac{1}{8}[/tex] and the process is done for one time only.

So, this option is not same as above.

Option B:

Will a standard number cube 7 times count the number of twos.

Here, the probability = [tex]\frac{1}{6}[/tex]

So, the option is not same as above.

Option C:

Roll a standard number cube 7 times count how many of ones to threes and fours.

Here, the probability = [tex]\frac{4}{6}[/tex]

⇒ [tex]\frac{2}{3}[/tex]

So the option is same as above.

Option D:

Marcus spinner with 12 equally sized sections right when on four of the sections spin the spinner seven times and count the number of times it ends on the win.

Here, the probability = [tex]\frac{8}{12}[/tex]

⇒ [tex]\frac{2}{3}[/tex]

So the option is same as above.

Option E:

Put 10 white chips and fiber chips in a bag draw a chip from the bag record its results and put it back in the bag do the seven times and count the total number of white chips drawn.

Here, number of fiber chips is not given.

So, we could not predict the probability for this option.

Hence we can conclude that options (C) and (D) are same as Diego predictions.

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Find the missing side of the triangle

Answers

the side x is 15

bottom right angle is 31.61 degrees

other angle is 58.39 degrees

Answer:

Step-by-step explanation:

if leg a is the missing side, then transform the equation to the form when a is on one side, and take a square root: a = √(c² - b²)

if leg b is unknown, then. b = √(c² - a²)

for hypotenuse c missing, the formula is. c = √(a² + b²)

Find the angle of depression
from point A to point C.
A
?
58°
6 mi
С
B
Angle of depression = [?]°

Answers

Answer:

32

Step-by-step explanation:

I just know that it's the answer

can someone help me plzz?? No linkss​

Answers

Answer:

c. 4

Step-by-step explanation:

f ( -2) means x = -2

so just replace x with -2

Determine if a quadrilateral with the given vertices is an isosceles trapezoid. Show and explain all steps to prove or disprove.
A(-5,0) B(5,0) C(-3, 4) D(3, 4)

Answers

By satisfying all the four criteria, the quadrilateral with the vertices A(x, y) = (-5, 0), B(x, y) = (5, 0), C(x, y) = (-3, 4) and D(x, y) = (3, 4) is an isosceles trapezoid.

How to determine if a quadrilateral is an isosceles trapezoid

Based on vectorial expressions, an isosceles trapezoid satisfies the following properties:

(i) [tex]\overrightarrow{CD} = k \cdot \overrightarrow{AB}[/tex], for k ∈ [tex]\mathbb{R}[/tex]    

(ii) AB ≠ CD    

(iii) [tex]\overrightarrow{AC} \neq \overrightarrow {BD}[/tex]  

(iv) AC = BD

Now we proceed to prove each property:

Requisite I

(3 - (-3), 4 - 4) = (6, 0)

(5 - (-5), 0 - 0) = (10, 0)

(6, 0) = (5/3) · (10, 0)


Requisite II

AB = 6, CD = 10

AB ≠ CD

Requisite III

[tex]\overrightarrow{AC} = (2, 4)[/tex]

[tex]\overrightarrow{BD} = (-2, 4)[/tex]

[tex]\overrightarrow{AC} \neq \overrightarrow {BD}[/tex]

Requisite IV

[tex]AC = \sqrt{[-3-(-5)]^{2}+(4-0)^{2}}[/tex]

[tex]AC = \sqrt{2^{2}+4^{2}}[/tex]

[tex]AC = 2\sqrt{5}[/tex]

[tex]BD = \sqrt{(3-5)^{2}+(4-0)^{2}}[/tex]

[tex]BD = \sqrt{(-2)^{2}+4^{2}}[/tex]

[tex]BD = 2\sqrt{5}[/tex]

AC = BD

The figure with the entire quadrilateral is shown below. Therefore, the quadrilateral with the vertices A(x, y) = (-5, 0), B(x, y) = (5, 0), C(x, y) = (-3, 4) and D(x, y) = (3, 4) is an isosceles trapezoid.

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HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP

Answers

Answer:

The answer is letter C) a cars distance at a constant speed

which graph can be used to solve the equation 2x-1=x+2

Answers

Answer: top right

Step-by-step explanation:

An equation is formed of two equal expressions. The graph can be used to solve the equation 2x-1=x+2 is the Top right one.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. Usually, the line of the graph is a function that follows the graph.

The two of the given equations can be written as,

y = 2ˣ - 1

y = x + 2

If the two equations are now when plotted on the graph, it will be like the one shown below. Hence, the graph can be used to solve the equation 2x-1=x+2 is the Top right one.

Learn more about Equation here:

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On day 2, Jonathan fills water bottles at a constant rate after 1 day of filling up a few
water bottles. If B(m) = 3m + 12 represents this scenario where m represents the number
of minutes he spent filling up water bottles, how many minutes did he take to fill 552
water bottles?

Answers

Answer:

Step-by-step explanation:

What is the Range of the data set? 85, 90, 100, 90, 25, 90​

Answers

Answer:

75

Step-by-step explanation:

100-25=75

Answer:

75

Step-by-step explanation:

Subtract the smallest value from the largest value so 100 - 25 = 75

Find the fare with 15% tip: 4 passengers, 12 miles.

O $21.45
O $22.36
o $23.75
O $24.67

Answers

Answer: 24.67 or D

Step-by-step explanation:

i just took the quiz, goodluck <33

PLEASE HELP WITH GEOMETRY!!!

Answers

Answer:

Solutions given:

opposite side [0pp]=x

hypotenuse [Hypo]=7

angle A=36°

Now

relationship between opposite side and hypotenuse is given by Sin angle

Sin A=[tex] \frac{oppo}{hypo} [/tex]

Sin 36=[tex] \frac{x}{7} [/tex]

x=Sin36*7

x=4.11

So second one x=4.1 is your answer

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