can someone help me solve this 11

Can Someone Help Me Solve This 11

Answers

Answer 1

[tex]\dfrac{\sin \alpha}{\cos \alpha + \sin \alpha} - \dfrac{\cos \alpha}{\cos \alpha - \sin \alpha}\\\\\\=\dfrac{\sin \alpha(\cos \alpha - \sin \alpha) - \cos \alpha(\cos \alpha + \sin \alpha)}{(\cos \alpha + \sin \alpha)(\cos \alpha -\sin \alpha)}\\\\\\=\dfrac{\sin \alpha \cos \alpha - \sin^2 \alpha - \cos^2 \alpha - \cos \alpha \sin \alpha}{\cos^2 \alpha - \sin^2 \alpha}\\\\\\=\dfrac{-(\sin^2 \alpha + \cos^2 \alpha)}{\cos 2 \alpha}\\\\\\=-\dfrac{1}{\cos 2 \alpha}\\[/tex]

[tex]=-\left(\dfrac{1}{\tfrac{1- \tan^2 \alpha}{1 + \tan^2 \alpha}} \right)~~~~~~~~~~~~~~~~~~; \left[\cos 2\theta = \dfrac{1 - \tan^2 \theta}{1+ \tan^2 \theta} \right]\\\\\\\ = -\left(\dfrac{1+ \tan^2 \alpha}{1- \tan^2 \alpha}\right)\\\\\\= \dfrac{1+\tan^2 \alpha}{\tan^2 \alpha -1}[/tex]


Related Questions

i need to know the answer to number one

Answers

Answer:

If the slope of the line is 3, it either decreases or increases by 3 everytime. (3x) If the y-intercept is 0, then when the line intercepts with the graph, it will intercept with (0, 0)

Step-by-step explanation:

Basically, the slope means how much the line increases or decreases. The y-intercept means where the line will intercept or start on the y-axis. If the y-intercept was 5, it would be (0, 5)

The answer is 69 hope this helps :)

Which answer choice correctly identify the missing information in the problem?

is 23 years old and just graduated from college. He accepted a job as the manager of a amusement park. His major decision was to offer family memberships to the public for $200 a year. The single admission to the amusement park is $25 per family each visit. How many shows can a family see if they have a limited budget?

A) there is no missing information; to find the answer you divided 200 by 25

B) you need to know how many people are in the family

C) you need to know how many times the family will go to the amusement park

D) you need to know the amount of the family budget to solve the problem

Answers

Answer:The  missing information to answer the question: "How many shows can a family see if they have a limited budget?" is the amount of the family budget.

Let's suppose that we know that information and one family has $100. If each visit costs $25 dollars, the family can see:

100/25 =4 shows

So if we do not have this info, we are not going to be able to solve the problem. The correct answer is the letter D!

Step-by-step explanation:

If x = 5, find the value of
a) x2
b) (x + 3)^2.

the 2 is meant to be squared

Answers

Answer:

a)since x=5

x²= 5×5

=25

b)(x+3)²

x=5

5+3=8

8²=8×8

=64

☆Answer : x = 5

Soo :

a) x² = 5² = 5•5 = 25

b) (x + 3)² = (5 + 3)² = 8² = 8•8 = 64

What is the volume?????

Answers

Volume is the amount of space a 3D shape takes up. You can work out the volume of a shape by multiplying height × width × depth.If the shape is made of cubic cm blocks, you can count the cubes to find the shape's volume.


I need help asap!!!!
What is the slope of the line on the graph below?
2 IV
-2 -1
1
2
3
4
5
6.
7
8
х
-2
4
45
-6
-7
48
1

Answers

Answer:

Slope is 1/3

Step-by-step explanation:

This is because the line is positive (moving upwards), and it moves up 1 unit and to the right 3 units. That means if you write it in the form of rise/run, where rise is the up or down movement and run is the left or right movement, 1 will be on top and 3 will be at the bottom.

Bonus: The line is y = 1/3x -5 (where 1/3 is slope and -5 is the y-intercept).

Hope this helps :)

A committee consisting of three people is to be selected from ten members. How many ways are there to select the committee of three people

Answers

Answer:

120

Step-by-step explanation:

10 choose 3

theres really no simple way to do that with work unless you have a fancy calculator.

A coach purchased a soccer ball for each of his 18 players. If each soccer ball cost $12.99, how much did the coach spend before sales tax was added?

Answers

Answer:

$233.82

Step-by-step explanation:

$12.99 a ball times 18 players (12.99x18) equals 233.82$

How to do question 10 a?

Answers

Answer:

23 hgrghhgfggggggghhhhh

Answer:

I looked at all those numbers and they all say d=0

Step-by-step explanation:

Philip Schofield bench presses 200N over a distance of 0.5m. calculate the work done

Answers

Answer:

100J

Step-by-step explanation:

work done = force x distance

                  = 200 x 0.5

                  = 100J

Find the value of x in the triangle shown below.
102
48

Answers

Answer:

The sum of the angles of a triangle is always 180, so the answer is

180-102-48=30

Step-by-step explanation:

(X-3)(X-1)

Expand and simplify

Answers

[tex](x-3)(x-1)\\\\=x(x-1) -3(x-1)\\\\=x^2 -x -3x +3\\\\=x^2 - 4x+3[/tex]

a man earn $6 in two hours. how much does he earn in 5 hours​

Answers

Answer:

$15

Step-by-step explanation:

6 divided by 2 is 3

3 multiplied by 5 is 15

round 87,255 to the nearest ten thousand.

Answers

Answer:

90,000

Step-by-step explanation:

Pls help me with this!!

Answers

Answer:

76 quarters, 3 dimes

Step-by-step explanation:

if the whole number is 19, you would have to figure out how many quarters would be in 19$. 76 quarters are in 19$. then you would have to figure out how many dimes are in 30 cents, there are 3 dimes in 230 cents

Answer:

66 Quarters and 28 dimes

Step-by-step explanation:

.10d + .25Q = 19.3Q

d + Q = 94

so d = 94 - Q

Substitution method:

.10(94 - Q) + .25Q = 19.30

9.4 - .10Q + .25Q = 19.30

9.4 + .15Q = 19.30

.15Q = 9.9

Q = 66 so d = 94 - 66 = 28

A weather station on the top of a mountain reports that the temperature is currently 0°C and has been falling at a constant rate of 3°C per hour. What was the temperature 4.5 hours ago ?

Answers

Answer:

10.5 degrees Celsius

Step-by-step explanation:

Answer: 13.5

Step-by-step explanation:

This is because 3x4.5=13.5

PLEASE HELP 60 POINTSSSS

Answers

Answer:

x = 6.5 units

Step-by-step explanation:

The 2 given squares are the on the legs of the right triangle with hypotenuse x

Using Pythagoras' identity in the right triangle

The square on the hypotenuse is equal to the sum of the squares on the other 2 legs , then

x² = 13 + 29.25 = 42.25 ( take square root of both sides )

x = [tex]\sqrt{42.25}[/tex] = 6.5 units

Lucy can type 300 words in 5 minutes. How many words can Lucy type in 27 minutes?

Answers

Answer:

1620 words

Step-by-step explanation:

Given,

Number of words Lucy can type in 5 minutes

= 300 words

So,

Number of words Lucy can type in 1 minute

[tex] = \frac{300}{5} \: words[/tex]

= 60 words

Therefore,

Number of words Lucy can type in 27 minutes

= (60 × 27) words

= 1,620 words

Hence, Lucy can type 1620 words in 27 minutes.

Analyze the diagram below and complete the instructions that follow.

Answers

Answer:

this question is a very simple. you should start with the biggest triangle then follow the steps to find each side of other triangles. THE ANSWER İS ROOT FORTY ONE

Step-by-step explanation:

these are all right-angled triangles. even the smallest one with the x side.

so, we need to apply Pythagoras to get the missing sides and finally x.

c² = a² + b²

c is the Hypotenuse, the baseline of the triangle opposite of the 90 degree angle. a and b are the legs of the triangle enclosing the 90 degree angle.

so,

52² = 48² + side1²

2704 = 2304 + side1²

400 = side1²

side1 = 20

20² = 12² + side2²

400 = 144 + side2²

256 = side2²

side2 = 16

13² = 5² + (larger part of side2)²

169 = 25 + (larger part of side2)²

144 = (larger part of side2)²

larger part of side2 = 12

that means the smaller part of side 2 = 16-12 = 4.

x² = 5² + 4² = 25 + 16 = 41

x = sqrt(41)

So, D is the right answer option.

Find the positive root of x^2+2x-35=0 in math Please.

Answers

Answer:

x2+2x−35=0

Step 1: Factor left side of equation.

(x−5)(x+7)=0

Step 2: Set factors equal to 0.

x−5=0 or x+7=0

x=5 or x=−7

Step-by-step explanation:

We have x^2 + 2x - 35 = 0
<=> x^2 - 5x + 7x - 35 = 0
<=> x(x-5) + 7(x-5)=0
<=> (x+7)(x-5)=0
<=> x+7=0 or x-5=0
<=> x = -7 or x = 5

Ok done. Thank to me :>

What is the slope of the line through points J and L?

Answers

Answer:

Slope: 2/3

Step-by-step explanation:

someone please help me i'll mark brainliest

Answers

Answer:

4-9/5

Step-by-step explanation:

I think so but if not sorry

Consider the graph shown below.

What are the coordinates of point C after a dilation with a scale factor of 5,centered at the origin

Answers

Answer:

10,5

Step-by-step explanation:

After a dilation of 5, it should become 10 and 5 because it was 2,1 before.

simplify the following 6b-8(46 - 9) + 3b​

Answers

The value of 6b-8(46 - 9) + 3b is 9b - 296.

The equation given is 6b-8(46 - 9) + 3b, the calculation will go thus:

= 6b-8 (46 - 9) + 3b

= 6b-8 (46 - 9) + 3b

= 6b - 8(37) + 3b

= 6b - 296 + 3b

= 6b + 3b - 296

= 9b - 296

Answer: 9b-296

Step-by-step explanation:

Subtract the numbers 6−8 (46−9)+3 6−8(37)+3 2

Multiply the numbers 6−8⋅37+3 6−296+3

Combine like terms 6b−296+3b

Ur answer

9b−296

PLEASE HELP
Find the current value of a car bought for new at $18300 which depreciates at 8% per annum over 4 years

Answers

Answer:

12, 444

Step-by-step explanation:

•First find out what is 8% of 18300

=8\100 ×18300\1 = 146400\100 =1464. [\ means ÷]

• Next multiply 1464 by 4 years =5,856

•Finally calculate 18300- 5856 = 12,444 (we are saying 18300 - 5856 because the money

decreased & 5856 represnt 8% of 18300 in 4 years)

Note :

~ Appreciation is when money increases

~Deperciation is when money decreases

Hope this helps !!!

The annual snowfall in city A is 45.8 inches. This is 14.2 inches more than 4 times the snowfall in city B. Find the annual snowfall for city B.

Answers

Answer: 7.9inches

Step-by-step explanation:

45.8-14.2=31.6

31.6/4=7.9

In Richmond, Chloe ordered $40 worth of sushi. She knew that when the bill came, she would need to pay Richmond sales tax of 5% and would want to leave a 20% tip on the original $40. Including tax and tip, how much did Chloe's meal cost?

Answers

Answer:

50$$$

Step-by-step explanation:

(she has the same name as me lol)

Chloe has to pay 40$

5% of 40 is 2

20% of 40 is 8

Add the extra money together

2+8=10

Add original price

40+10=50

You get 50$ for the final price

I WILL GIVE BRAINLIEST!! PLS HELP

Answers

Answer:

Angle PRQ is the same as NRM so therefore one of the three angles for both triangles is the same. Angle QPR and NMR are both 90 degrees and so the last angle must be the same in order for the three angles to be 180 degrees in total.

Step-by-step explanation:

Hope This Helps!!!

What kind of math is this???





???

A lines slope is 1/10, and it’s y - intercept is 9 what is its equation in slope intercept form

Answers

Answer:

[tex]y=\frac{1}{10}x +9[/tex]

Step-by-step explanation:

y = mx + b

where m is slope (1/10)

c is y intercept (9)

Work out the percentage change to 2 decimal places when a price of £198 is increased to £209.99.

Answers

Percentage Calculator: What is the percentage increase/decrease from 198 to 209.99? = 6.0555555555556!

Answer:

6.06%

Step-by-step explanation:

198 + 6.06%=209.9988

find the slope of the line through these pair of points. (17, –6), (–11, 7)​

Answers

☆Answer : (X1, Y1) = (17, -6) (X2, Y2) = (-11, 7)

m = (Y2 - Y1)/(X2 - X1)

m = (7 - (-6))/(-11 - 17)

m = (7 + 6)/(-28)

m = 13/(-28) = -(13/28)

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