Help me please!!!!!!​

Help Me Please!!!!!!

Answers

Answer 1

Answer:  see both proofs below

Step-by-step explanation:

Use Difference Identity: tan (A - B) = (tan A - tan B)/(1 + tanA · tanB)

Use Unit Circle to evaluate: tan (π/4) = 1

Use Tangent Identity: tanA = (sinA)/(cosA)

Use Half-Angle Identities:

[tex]\cos \dfrac{A}{2}=\sqrt{\dfrac{1+\cos A}{2}}\\\\\\\sin \dfrac{A}{2}=\sqrt{\dfrac{1-\cos A}{2}}[/tex]

Part 1   Proof LHS → Middle

LHS:                                [tex]\tan\bigg(\dfrac{\pi}{4}-\dfrac{A}{2}\bigg)[/tex]

Difference Identity:        [tex]\dfrac{\tan (\frac{\pi}{4})-\tan(\frac{A}{2})}{1+\tan(\frac{\pi}{4})\cdot \tan(\frac{A}{2})}[/tex]

Unit Circle:                      [tex]\dfrac{1-\tan(\frac{A}{2})}{1+ \tan(\frac{A}{2})}[/tex]

[tex]\text{Tangent Identity:}\qquad \qquad \dfrac{\frac{\cos\frac{A}{2}-\sin\frac{A}{2}}{\cos\frac{A}{2}}}{\frac{\cos\frac{A}{2}+\sin\frac{A}{2}}{\cos\frac{A}{2}}}[/tex]

Simplify:                             [tex]\dfrac{\cos\frac{A}{2}-\sin\frac{A}{2}}{\cos\frac{A}{2}+\sin\frac{A}{2}}[/tex]

LHS = Middle:  [tex]\dfrac{\cos\frac{A}{2}-\sin\frac{A}{2}}{\cos\frac{A}{2}+\sin\frac{A}{2}}=\dfrac{\cos\frac{A}{2}-\sin\frac{A}{2}}{\cos\frac{A}{2}+\sin\frac{A}{2}}\qquad \checkmark[/tex]

Part 2   Proof  Middle → RHS

Middle:                                     [tex]\dfrac{\cos\frac{A}{2}-\sin\frac{A}{2}}{\cos\frac{A}{2}+\sin\frac{A}{2}}[/tex]

[tex]\text{Half-Angle Identity:}\qquad \qquad \dfrac{\sqrt{\frac{1+\cos A}{2}}-\sqrt{\frac{1-\cos A}{2}}}{\sqrt{\frac{1+\cos A}{2}}+\sqrt{\frac{1-\cos A}{2}}}[/tex]

Simplify:                               [tex]\dfrac{\sqrt{1+\cos A}-\sqrt{1-\cos A}}{\sqrt{1+\cos A}+\sqrt{1-\cos A}}[/tex]

Rationalize Denominator:  [tex]\dfrac{\sqrt{1+\cos A}-\sqrt{1-\cos A}}{\sqrt{1+\cos A}+\sqrt{1-\cos A}}\bigg(\dfrac{\sqrt{1+\cos A}-\sqrt{1-\cos A}}{\sqrt{1+\cos A}-\sqrt{1-\cos A}}\bigg)[/tex]

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

Simplify:                                [tex]\dfrac{2-2\sqrt{1-\cos^2 A}}{2\cos A}[/tex]

                                         [tex]=\dfrac{2-2\sqrt{sin^2 A}}{2\cos A}[/tex]

                                         [tex]= \dfrac{2-2\sin A}{2\cos A}[/tex]

Factor:                                   [tex]\dfrac{2(1-\sin A)}{2(\cos A)}[/tex]

Simplify:                               [tex]\dfrac{1-\sin A}{\cos A}[/tex]

Expand:                                [tex]\dfrac{1-\sin A}{\cos A}\bigg(\dfrac{1+\sin A}{1+\sin A}\bigg)[/tex]

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

Simplify:                                 [tex]\dfrac{\cos^2 A}{\cos A(1+\sin A)}[/tex]

                                          [tex]=\dfrac{\cos A}{1+\sin A}[/tex]      

Middle = RHS:   [tex]\dfrac{\cos A}{1+\sin A}=\dfrac{\cos A}{1+\sin A}\qquad \checkmark[/tex]            

                       

Help Me Please!!!!!!
Help Me Please!!!!!!
Help Me Please!!!!!!
Help Me Please!!!!!!

Related Questions

There are only two orthodontists in a village and both wore braces until last month. Dr. Carter now has straight teeth and a clean office. Dr. Shuman now has crooked teeth and a messy office. Based only on this given information, which orthodontist should you go to if you want your teeth straightened? Explain your reasoning.

Answers

Answer:

Dr Carter

Step-by-step explanation:

I would want to visit Dr. Carter for an orthodontis appointment for multiple reasons. One, he can prove that he doesn’t do his work sloppily as his office is clean, and two, he can prove that his treatments work. since his teeth are now perfectly straight, that shows that his Braces really work, whereas Dr. Shuman’s treatments either don’t work or take a lot longer for results to appear.

The Bionic Woman gives Batman a 12 second
start in a 2 kilometre race. If the Bionic Woman
runs at 5 km/min, and Batman runs at 3 km/
min, who will win the race and by how many
seconds?

Answers

Answer:

Bionic Woman wins by 4 seconds.

Step-by-step explanation:

Given:

Speed of Batman = 3 km/min

Speed of Bionic woman = 5 km/min

Total distance = 2 km

Start given to Batman = 12 seconds

To find:

Winner of the race and by how many seconds?

Solution:

Start given to Batman = 12 second start

Let us find the Distance traveled by Batman in 12 second.

12 seconds = [tex]\frac{1}{5}[/tex] minutes

[tex]Distance = Speed \times Time[/tex]

[tex]Distance = 3 \times \frac{1}{5} = 0.6\ km[/tex]

Hence, distance left for batman to be traveled = 2 - 0.6 = 1.4 km

Time taken by Batman = [tex]\frac{1.4}{3} \times 60[/tex] seconds = 28 seconds

Distance for Bionic woman to be traveled = 2 km with 5 km/min

Time taken by Bionic Woman = [tex]\frac{2}{5}[/tex] minutes = 24 seconds

Bionic woman is taking lesser time, So the winner of the race will be Bionic woman.

She will win by 28-24 = 4 seconds

So, answer is:

Bionic Woman wins by 4 seconds.

i don’t understand this at all please help

Answers

Answer:

You need 10 of those numbers to be whole numbers, decimals, or fractions (THESE ARE RATIONAL)

You need the other 10 of those numbers to radicals, or numbers similar to pi (THESE ARE IRRATIONAL)

Step-by-step explanation:

Replace the values of m and n to show the solutions of this equation.
x^2 + 6x - 5 = 0

Answers

Answer: x = 2, x = 3 ( whichever is m and whichever is n )

Step-by-step explanation: h

x^2 + 6x - 5 = 0

( x - 2 ) ( x - 3 ) you take the x^2 and you split it into separate groups

the negatives will give you a positive 6, but also a negative 5. you want to use multiples of 6 to add up to -5. so you do ( x - 2 ) and ( x - 3 ) and it doesn't matter what order you do the numbers!! both are negative trying to add up to a negative.

then you want to get x.

x - 2 = 0

add two to the 0 and x = 2

then the other x

x - 3 = 0

add the three to the 0 and x = 3

Answer:

x=-3+[tex]\sqrt{x} 14[/tex]

Step-by-step explanation:

I got it right on plato

Find the volume of a box with a length of 5 cm, a width
of 5 cm, and a height of 10 cm.

Answers

Answer:

250 cm³

Step-by-step explanation:

The volume of a box will always be the value of multiplying its 3 dimensions. Since the dimensions of this box are 5, 5, and 10, the volume is:

[tex]5\cdot5\cdot10=250[/tex] cm³.

Hope this helped!

Answer:

250 cm^3

Step-by-step explanation:5x5x10

Write an equation for the graph below in slope-intercept form:

Answers

Answer: y<1x-2

Step-by-step explanation:

Find some coordinates on the line to write a slope intercept form equation for the line and turn it into inequality.

First we need to find the slope and the y-intercept. The y intercept is when x is 0 and as we can see it  already indicates that the y intercept is -2 .

(0,-2)

(2,0)   Use these points o the find the slope.

0- 2 = -2

-2 -0 = -2

-2/-2 = 1   The slope is one so the equation will be y = 1x - 2   But since this is not an inequality we have to change the equal to sign to an inequality sign.

Looking at the line, it is a dashed line so the inequality sign will be > or <  

The painted side of the graph represents the solutions of the graph  and that is all underneath the graph so the inequality will be   y < 1x-2

15•(3 + b) = 45 + b
Use properties and definitions of operations to show that the statement is true. Justify each step.

Answers

subtract 15 from both sides that gets rid of 15 and your left with 3b =30b divide 3 on both sides and the answer is 10

Is x=3 a solution for the equation: 3x + 7 = 13
Why or why not ?

Answers

Answer:

No.

Step-by-step explanation:

There are two different ways to do this - solve for x in the given equation or substitute the value for x and see if you get a true statement.

3x + 7 = 13 subtract 7 from both sides

3x = 6 divide by 3 on both sides

x = 2

3(3) + 7 = 13

9 + 7 = 13

16 ≠ 13

Therefore, x = 3 is not a solution for 3x + 7 = 13.

Solve 5h + 2(11 - h) = -5 (Find h. Explain each step please.)

Answers

Answer:

h = -9

Step-by-step explanation:

Distribute the 2 to the parentheses:

5h + 2(11 - h) = -5

5h + 22 - 2h = -5

Add like terms:

3h + 22 = -5

3h = -27

h = -9

Answer:

h = -4.5

Step-by-step explanation:

5h + 2(11-h) = -5

5h + 2(11-h)

+h          +h

6h + 2 x 11 = -5

6h + 22 = -5

    - 22     -22

6h = -27

/6     /6

h = -4.5

I hope this helps, I know the explanation is kinda confusing but I tried my best to explain :))

|−12| = 12 True or False please help!!!!!

Answers

Answer:

yes

Step-by-step explanation:

|-12| = |12| they always equal to 12

Answer:

true

Step-by-step explanation:

when you put the 2 lines on the left and right side of a (negative) number, it instantly becomes a positive

PLEASE HURRY......What is the absolute value of –8? Use the number line to help answer the question. A number line going from negative 8 to positive 8. A point is at negative 8. –16 –8 8 16

Answers

Answer:

8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

I took the test.

What is the value of x?

Answers

Answer:

8

Step-by-step explanation:

2x + 6y = 4

Since, graph passes through (x, - 2)

Therefore, plug y = - 2 in the above equation.

2x + 6*(-2) = 4

2x - 12 = 4

2x = 12 + 4

2x = 16

x = 16/2

x = 8

What is the difference between 5√3 and √27

Answers

Answer:

2√3

Step-by-step explanation:

5√3 - √27

= 5√3 - √9√3

= 5√3 - 3√3

=2√3

Passes through (3, 1) and is perpendicular to the line y=2x+1

Answers

Answer:

y = -1/2x + 5/2 or y = -0.5x + 2.5

Step-by-step explanation:

perpendicular lines have reciprocated slopes (opposite signs and values)

y = 2x + 1 → y = (-1/2x) + b

plug in (3,1) to find b

1 = -1/2(3) + b

1 = -1.5 + b

2.5 = b

y = -1/2x + 5/2 or y = -0.5x + 2.5

Answer:

y = -1/2 x +5/2

Step-by-step explanation:

y = 2x+1 is in slope intercept form ( y = mx+b) where 2 is the slope

We want a line perpendicular

Perpendicular lines have slopes that multiply to -1

m * 2 = -1

Divide by 2

m = -1/2

The slope of the perpendicular line is -1/2

y = mx+b

y = -1/2x +b

Using the point (3,1)

1 = -1/2 *3 +b

1 = -3/2 +b

Add 3/2 to each side

2/2 +3/2 = b

5/2 = b

y = -1/2 x +5/2

Find the slope of the line passing through (-4,6) and (10,8)

Answers

Answer:

1/7

Step-by-step explanation:

In order to determine the slope, we must find the change in y over the change in x:

[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} } = \frac{8-6}{10--4}[/tex] = 2/14= 1/7.

Therefore, the slope between these two points is 1/7.

Answer:

1/7

Step-by-step explanation:

To find the slope when given two points, use the slope formula. The slope formula is:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Let (-4,6) be x₁ and y₁ and let (10,8) be x₂ and y₂:

[tex]m=\frac{(8)-(6)}{(10)-(-4)} =2/14=1/7[/tex]

Therefore, the slope of the line passing through the two points is 1/7.

Could Anyone Help ??!!!

Answers

Answer:

  M = (-1, 0) on the x-axis

Step-by-step explanation:

You know the midpoint is the average of the coordinates of the end points:

  M = (S +T)/2

  M = ((-4, -3) +(0, 3))/2 = (-4+0, -3+3)/2 = (-2, 0)/2

  M = (-1, 0)

The midpoint is (-1, 0). It lies on the x-axis because the y-coordinate is 0.

please tell me the answers.......​

Answers

Answer:

answer of question 28 is 8/13(D)

Please help, thank you!

Answers

Answer:

15

Step-by-step explanation:

3x+4x+8=5x+10

7x+8=5x+10

7x-5x=10-8

2x=2

x=1

AC=5x+10=5(1)+10=15

.The diagonal of a quadrilateral shaped field is 32 m and the perpendiculars dropped on it from the remaining opposite vertices are 10m and 14m. Find the area of the field.

Answers

Answer:

Area of the field = 384

Step-by-step explanation:

Given:

diagonal  = d = 32 m

perpendiculars dropped on it from the remaining opposite vertices:

h1 = 10 m

h2 = 14 m

Sum of perpendiculars:

h1 + h2 = 10  + 14

           = 24

Area of the field = 1/2 x d x (h1 + h2)

                           = 0.5(32)(24)

Area of the field = 384 m²

Apply
10. Fouster's Farms has 53 fruit trees on their land. Myrna's Farms has five
times as many fruit trees as Fouster's. A commercial farm has 500 fruit
trees. Which farm has the most fruit trees?

Answers

Answer:

myrna farm has 265 and the commercial farm 500

Step-by-step explanation:

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The farm that has the most fruit trees are commercial farm.

What is multiplication?

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

Given that Foster's Farms has 53 fruit trees on their land. Myrna's Farms has five times as many fruit trees as Foster's. Therefore, the number of trees on Myrna's farm is,

Number of trees on Myran's farm = 5 × Number of trees on Foster's farm

                                                       = 5 × 53

                                                       = 265 trees

Since the number of trees on Myran's farm and Foster's farm is 265 trees and 53 trees, respectively, while the number of trees on the commercial farm has 500 fruit trees.

Hence, The farm that has the most fruit trees are commercial farm.

Learn more about Multiplication here:

https://brainly.com/question/14059007

#SPJ2

Before her shopping spree, Lemon owned 11 shirts. Then she bought some more and now she owns 33 of them. What is the ratio of shirts before the purchase to the total number of shirts after the purchase

Answers

Answer:

So the ratio of shirts before the purchase to the total number of shirts after the purchase is 1:3

Step-by-step explanation:

In this question we have to find the ratio of before and after so It will be written like this

Before : After

11: 33

Dividing both sides with 11

11/11:33/11

1: 3

So the ratio of shirts before the purchase to the total number of shirts after the purchase is 1:3

Which means that if we have total of 4 shirts then the number of shirts before the purchase were 1 and after the purchase were 4 meaning there are 3  new shirts in place for every single old shirt.

The price for each notebook is p. The number of the
notebooks bought by Lily, Jim and Jessica is a, b and c.
Which of the following expression represents the total cost
of all the notebooks bought by the three people?

Answers

Answer:  price of total notebooks = p(a+b+c) or pa+pb+pc= price of total notebooks

Step-by-step explanation:

you have to add all the number of notebooks or a b and c and then multiply it by the price of each notebook. there are multiple ways to do this but those are the ways I could think of.

 if a=2, b=3 and c=6 then you have to add 2+3+6 to equal 11 then multiply 11 by the price of each notebook, say p=$4.50  your equation would be 4.50*11 which is $49.50, and that would be the total of all the notebooks. these numbers metaphorical of course, but hope that puts it into perspective.

6a+40=2a can someone help me with this work sheet?

Answers

Answer:

a = -10

Step-by-step explanation:

6a+40=2a

Subtract 6a from each side

6a-6a+40=2a-6a

40 = -4a

Divide each side by -4

40/-4 = -4a/-4

-10 = a

Does the construction demonstrate how to bisect a segment correctly by hand? I need dire help with this one:(

Answers

the compass was kept at the same width to create the acrs for points C and D. - Credit to XCUTE40

At a certain hospital, the probability of a child being born female is 0.51. If 80 babies are born on the a certain day, the probability that more than half of these babies are female is closest to? a. 0.61, b. 0.70, c. 0.39, d. 0.47, 0.53 (I will award you the brainiest)

Answers

Answer:

The probability that more than half of these babies are female is closest to 0.53.

Step-by-step explanation:

We are given that at a certain hospital, the probability of a child being born female is 0.5. 80 babies are born on a certain day.

Let X = Number of babies that are female

The above situation can be represented through binomial distribution which means X ~ Binom(n = 80, p = 0.51)

Here, n = number of samples taken and p = probability of success

For finding the probability we will use the normal approximation because the sample size is greater than 30 (n > 30), i.e;

Mean of X, [tex]\mu[/tex] = [tex]n \times p[/tex]

                    = 80 [tex]\times[/tex] 0.51 = 40.8

Standard deviation of X, [tex]\sigma[/tex] = [tex]\sqrt{n \times p\times (1-p)}[/tex]

                                         = [tex]\sqrt{80 \times 0.51 \times (1-0.51)}[/tex]  = 4.5

So, X ~ Normal([tex]\mu=40.8, \sigma^{2} = 4.5^{2}[/tex])

Now, the probability that more than half of these babies are female is given by = P(X > 40) = P(X > 40.5)  {using continuity correction}

      P(X > 40.5) = P( [tex]\frac{X-\mu}{{\sigma}} }[/tex] > [tex]\frac{40.5-40.8}{{4.5} } }[/tex] ) = P(Z > -0.07) = P(Z < 0.07)

                                                          = 0.5279 ≈ 0.53

The above probability is calculated by looking at the value of x = 0.07 in the z table which has an area of 0.5279.

Hence, the probability that more than half of these babies are female is closest to 0.53.

What fraction shows this division problem? 7 ÷ 9 Fractions may be typed as improper fractions What fraction shows this division problem? 7 ÷ 9 Fractions may be typed as improper fractions

Answers

Answer:

The fraction is [tex]\frac{7}{9}[/tex].

Step-by-step explanation:

The division problem provided is:

7 ÷ 9

The fraction representing the division problem is:

[tex]7\div 9=\frac{7}{9}[/tex]

As the denominator is greater than the numerator the fraction cannot be converted into a mixed fraction.

Thus, the fraction is [tex]\frac{7}{9}[/tex].

Answer:

7/9

Step-by-step explanation:

The division problem is as follows:

7 ÷ 9

The fraction that represents the difficulty of division is:

7 ÷ 9=7/9

The fraction cannot be converted to a mixed fraction since the denominator is bigger than the numerator.

As a result, the fraction is 7/9.

po
What is the missing constant term in the perfect square that starts with 22 – 12x ?
e su
idyl
Report a problem
ady
eady
eady!
rse cha

Answers

Answer:

36

Step-by-step explanation:

[tex](x {}^{2} - 6)(x {}^{2} - 6)[/tex]

then we get,

[tex]x {}^{2} - 12x + 36[/tex]

Which is the mode for the data set?
-1, 0, 3, 4, 3, 1

-0.5
0.3
2
-1​

Answers

Answer:

3

Step-by-step explanation:

-1 appears once

0 appears once

3 appears twice

4 appears once

1 appears once

Answer: -1

Step-by-step explanation: -1

occurs the most.

3.
In the figure. ABCD is a parallelogram. Find the area and the
perimeter of ABCD.

Answers

Answer:

Step-by-step explanation:

I am not sure if this is correct but I hope it helps

8 + 5 x (11 - 5) - 9
Please help me

Answers

I got 60 as my answer

you ALWAYS do your parentheses first

then you do 8+5 and that equals 13•6-9

13 times 6 is 78. then you subtract 9 which will leave you with 60. hope that helped ☺️

8 + 5 x (11 - 5) - 9

PEMDAS

8 + 5 x 6 - 9
Subtract 5 from 11

8 + 30 - 9
Multiply 5 by 6

30 - 1
Subtract 1 from 30

= 29


Other Questions
What role does nuclear war play in Wiesels speech?It is an example of a cause of despair that should be forgotten.It is an example of something both redemptive and destructive.It is an example of something that can be avoided through the power of memory.It is an example of something whose dangers humanity is unable to comprehend. Which of the following choices will simplify 1 - 5(3+2 x 3)?A. -44B. -60C. -36D. None of these choices are correct. The belief that government should be divided so that no one should have completeauthority is called.... Which region of medieval Europe was the best region for growing food?the Central UplandsO the Central Uplandsthe Alpine Mountainsthe North European Plain Amelia rented a DVD and it was due to be returned on 26 November. She actually returned it to the shop on 12 December. The rental shop applies a fine of 9p for every day the DVD is overdue. Work out the total fine paid by Amelia, give your answer in . Which statement is accurate regarding sexual activity? Peers do not have much influence on sexual activity. Dating an older person increases the chance of having sex. Other teens are having more sex than most teenagers perceive. Approximately 90 percent of teens have sex before age 16. Write two and disadvantages of different logging. Floyd and Gert enter into a contract by which Floyd promises to deliver fertilizer to Gert. Floyd subsequently transfers this duty to Hazel. Floyd is Mr. Warren Buffett invested $20 000. Part of it he put in the bank at 5% interest. Part of it he invested inbonds which pay a 7% return. How much money did he put in each vehicle, if his annual income from theseinvestments was $1200? can someone please understand how to add and subtract negative numbers? such as 2 - (-3)= or -7 + 4= The management of Bonga Corporation is considering dropping product D74F. Data from the company's accounting system for this product for last year appear below: Sales $ 830,000 Variable expenses $ 390,000 Fixed manufacturing expenses $ 266,000 Fixed selling and administrative expenses $ 232,000 All fixed expenses of the company are fully allocated to products in the company's accounting system. Further investigation has revealed that $111,000 of the fixed manufacturing expenses and $103,000 of the fixed selling and administrative expenses are avoidable if product D74F is discontinued. What would be the financial advantage (disadvantage) from dropping product D74F? Janie bought 3 apples and 9 bananas. Each apple costs $0.30, and each banana costs $0.90. Enter an expression representing the total cost. NEED ANSWER ASAP PLEASE Archie Co. purchased a framing machine for $45,000 on January 1, 2021. The machine is expected to have a four-year life, with a residual value of $5,000 at the end of four years. Using the straight-line method, depreciation for 2021 and book value at December 31, 2021, would be: what is the main factor that motivates you to do things (money, religion, popularity, etc) 2-7 please help BRAINLEST Of the 200 graduate students who were interviewed for a par time position at a call center, 110 had a bicycle, 25 had a master card and 130 had a mobile phone. 50 of them had both, a bicycle and a master card, 30 had both, a master card and a mobile phone and 60 had both, a bicycle and mobile phone and 10 had all three. How many candidates had none of the three? M is between points C and Q. CM=17 and CQ=21. What is MQ? Enter your answer in the box. MQ= A place to live work and play Patricia is single and her son Quinn is age 11. If her AGI is $207,000, what amount of child tax credit can she claim? Which statements accurately define archetypes? Select three options.They are based on stereotypes.They convey universal meanings and shared human experiences.They are universal symbols found in literature.They are flat and uncomplicated.They can include characters, plots, settings, objects, and themes.