Find an equation for y (in terms of β and α). Then find tan y.

Find An Equation For Y (in Terms Of And ). Then Find Tan Y.

Answers

Answer 1

Answer:

See below

Step-by-step explanation:

Angle opposite to 6 is complementary of α:

90 - α

Similarly, angle opposite to side 4 of the triangle in the right side is:

90 - β

Sum of the interior angles of the triangle on the bottom:

90 - α + 90 - β + γ = 180γ = α + βtan γ = tan (α + β)

From the smaller triangles we get:

tan α = 4/6 = 2/3tan β = 3/4

Use the identity below and find the value of tan γ:

tan (α + β) = (tan α + tan β)/(1 - tan α tan β)tan γ = tan (α + β) = (2/3 + 3/4) / (1 - 2/3*3/4) =(17/12) / (1/2) = 17/6 = 2 5/6

Related Questions

Consider the equation below. Log Subscript 4 Baseline (x 3) = log Subscript 2 Baseline (2 x) Which system of equations can represent the equation? y 1 = StartFraction log (x 3) Over log 4 EndFraction, y 2 = StartFraction log (2 x) Over log 2 EndFraction y 1 = StartFraction log x 3 Over log 4 EndFraction, y 2 = StartFraction log 2 x Over log 2 EndFraction y 1 = StartFraction log 4 Over log 2 EndFraction, y 2 = StartFraction log (x 3) Over log (2 x) EndFraction y 1 = StartFraction log x 3 Over 4 EndFraction, y 2 = StartFraction log 2 x Over 2 EndFraction.

Answers

Equivalent equations are equations of equal values

The system of equations from the given equation are:

[tex]y= \log_2(2x)[/tex] and [tex]y=3\log_4(x)[/tex]

The logarithmic equation is given as:

[tex]\log_4(x^3) = \log_2(2x)[/tex]

Split the above equation as follows:

[tex]y = \log_4(x^3)[/tex]

[tex]y= \log_2(2x)[/tex]

Rewrite [tex]y = \log_4(x^3)[/tex] as:

[tex]y=3\log_4(x)[/tex]

Hence, the system of equations from the given equation are:

[tex]y= \log_2(2x)[/tex] and [tex]y=3\log_4(x)[/tex]

Read more about systems of equations at:

https://brainly.com/question/14265399

Given f(x) = 3x^2 + 2x – 1 and g(x) = 4x-5 find ( g of f) (-2)

Answers

Answer:

23

Step-by-step explanation:

Evaluate f(- 2) then substitute the value obtained into g(x)

f(- 2) = 3(- 2)² + 2(- 2) - 1 = 3(4) - 4 - 1 = 12 - 5 = 7 , then

g(7) = 4(7) - 5 = 28 - 5 = 23

[tex]\text{Given that,}\\\\f(x) = 3x^2 +2x -1\\\\f(-2)=3(-2)^2 +2(-2) -1 = 12-4-1=7\\\\g(x) = 4x -5\\\\\text{Now,}\\\\(g \circ f) (-2)\\\\=g(f(-2))\\\\=g(7)\\\\=4(7)-5\\\\=28-5\\\\=23[/tex]

Six percent of computer chips produced by Cheapo Chips are defective. Each month a random sample of 200 chips manufactured that month are taken. Let X = the number of defective chips in the sample. What are the mean and standard deviation of X?

Answers

Using the binomial distribution, it is found that the mean of X is of 12, with a standard deviation of 3.36.

For each chip, there are only two possible outcomes, either it is defective, or it is not. The probability of a chip being defective is independent of any other chip, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.  

The mean of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

In this problem:

Six percent of computer chips produced by Cheapo Chips are defective, hence [tex]p = 0.06[/tex].Each month a random sample of 200 chips manufactured that month are taken, hence [tex]n = 200[/tex]

Then:

[tex]E(X) = np = 200(0.06) = 12[/tex]

[tex]\sqrt{V(X)} = \sqrt{np(1 - p)} = \sqrt{200(0.06)(0.94)} = 3.36[/tex]

The mean of X is of 12, with a standard deviation of 3.36.

A similar problem is given at https://brainly.com/question/12473640

A roller coaster can acommodate 150 people in 10 minutes How many people could ride the rolloer coaster in 25 minutes?

Answers

Answer:

375

Step-by-step explanation:

150 x 2= 300 -Thats for the 20 minutes

And 150 divided by 2 = 75= Thats for the addtional 5 minutes

2
Question 7(Multiple Choice Worth 1 points)
(04.04LC)
Point P on the coordinate grid below shows the location of a stage light. A second stage light is 6 units above P. The length of each square on the grid is
2 units. What are the coordinates of the location of the second stage light?
2
16-14-12-1046
012101
O (8.-10)
O (8,2)
(14,2)
(14.-10)

Answers

Answer:

Add 8 to the y value of point p, (4, -2 +8)So the location of the second light is on point (4,6)

what is the equation

Answers

Answer:

y = -2x+9

Step-by-step explanation:

To figure out equations of tile patterns simply count the initial value and the rate of change, then convert it into (slope intercept form) which is

y = mx+b

In this case the rate of change is -2x because each figure loses 2 blocks as it goes.

You can also see the the initial figure 1 has 9 blocks so this is our constant

With this information we can create the equation y = -2x+9

m = -2

x = x

b = 9

If more aid is needed a simple search of (Visual Pattern - Writing an Equation and Creating a Table) will help you with a video easily.

what’s the slope of y=x+5

Answers

I dont think there is a way to find out the slope bc there is no x intercept

Answer

if there´s any answer choice, the answer is 1

Step-by-step explanation:

HELP! I need answers to every question!

Answers

Answer:

We can treat i as if it was a variable/symbol, with the caveat that

i * i = -1

[6]

(4 - 13i) - (3 + 6i) = 4 - 13i - 3 - 6i = 4 - 3 - 13i - 6i = 1 - 19i

[7]

-1 + (-7 + 8i) - 18i = -1 - 7 + 8i - 18i = -8 - 10i

[8]

2i * (4 + 3i) = 2i * 4 + 2i * 3i = 8i + 6i^2 = 8i + 6*-1 = -6 + 8i

[9]

(6 - i) * (9 + 3i) = 6 * 9 + 6*3i - i*9 - i*3i = 54 + 18i - 9i - 3i^2 = 54 + 9i - (3*-1) = 54 + 9i + 3 = 57 + 9i

Answer:

6.) 1 - 19i

7 ) -8 - 10i

8.) -6 + 8i

9.) 57 + 9i

not sure if its the right answer

what is the slope of the line through (0, 1) and (-1, -3)

Answers

Answer:

A. 4

General Formulas and Concepts:

Pre-Algebra

Evaluations

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinate Planes

Reading a coordinate planeCoordinates (x, y)

Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Identify points.

Point (0, 1)

Point (-1, -3)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m.

Substitute in points [Slope Formula]:                                                              [tex]\displaystyle m = \frac{-3 - 1}{-1 - 0}[/tex][Order of Operations] Evaluate:                                                                      [tex]\displaystyle m = \frac{-4}{-1}[/tex]Simplify:                                                                                                             [tex]\displaystyle m = 4[/tex]

Answer:

The answer is A. 4

Step-by-step explanation:

Step 1: Define

Identify points.

Point (0, 1)

Point (-1, -3)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m.

Substitute in points [Slope Formula]:                                                            

[tex]\displaystyle m = \frac{-3 - 1}{-1 - 0}m=−1−0−3−1[/tex]

[Order of Operations] Evaluate:                                                                    

[tex]\displaystyle m = \frac{-4}{-1}m=−1−4[/tex]

Simplify:                                                                                                             [tex]\displaystyle m = 4m=4[/tex]

14. Write an equation for the line parallel to the given line that contains C.
C(3,8); y = - 4x + 1

Answers

Answer:

The answer should be y= -4x + 20.

What is the sum of 15/6

Answers

Answer: b because i did the eqaution on paper

Step-by-step explanation:

༒Question༒
Refer to attachment

nonsense answer will get report​

Answers

Answer:

Bro if you need help then tell me in comments section

I need helppp help meeeeeeee

Answers

1)  [tex]\frac{11-13}{4-7}= \frac{2}{3}[/tex]

2) [tex]\frac{-2-7}{-10-(-7)}=\frac{-9}{-3} =3[/tex]

3) [tex]\frac{9-3}{-11-(-14)} =\frac{6}{3}=2[/tex]

4) [tex]\frac{8-4}{11-(-9)} =\frac{4}{20}= \frac{1}{5}[/tex]

ok done. Thank to me :>

can someone help me answer this ​

Answers

[tex]8 = \dfrac{3+2x}{4+x}\\\\\implies 8(4+x) = \dfrac{3+2x}{4+x} \cdot (4+x)\\\\\implies 8\cdot (4+x) = 3+2x\\\\\text{Hence the answer is A.}[/tex]

Answer:

A

Step-by-step explanation:

8=3+2x/4+x

8/1= 3+2x/4+x then crisscross both sides without multiplying

8×(4+x)=3+2x

I hope it helped

If and , find .

A.

B.

C.

D.

Answers

Answer: GOONNA BE BE SIRRRRR BTW I HAVE IPHONE 21345678

Step-by-step explanation:

Please plot the resulting points.

Answers

Answer:

See explanation

Step-by-step explanation:

When you reflect across the y axis the numbers stay the same but the x coordinates become negative.

So the new coordinates are:

F(-4, 6)

G (-9, 6)

H (-7, 1)

I (-4, 0)

J (-1, 3)

Giving brainiest pls help

Answers

Answer:

Ivan: 4

Caleb: 4, 4, 4, 4, 4, 4, 4

Step-by-step explanation:

For every 4 Ivan sees, Caleb sees 28. (4 times 7)

Find the missing factor

Answers

Answer:

[tex](x^4y^5)(x^2y^4)[/tex]

Step-by-step explanation:

Keep these things in mind:

[tex]x^3\times x^3=x^{3+3}=x^6\\\\(x^3)^3=x^{3\times3}=x^9[/tex]

Using those, simplify the left side of this equation:

[tex](x^2y^3)^3\\x^6y^9[/tex]

Now we know what the exponents need to become, so we can find the difference between those and what we have on the right:

[tex]6-4=2\\9-5=4[/tex]

We need to add a 2 to the x, and add a 4 to the y.

[tex](x^4y^5)(x^2y^4)[/tex]

I need to find the missing angles

Answers

Can you explain well

f(1)=−3
f(n)=2⋅f(n−1)+1
f(2)=? ​

Answers

-5

No problem my brother

HELP PLease
Write your answer as a fraction in lowest terms

Answers

Answer:

cos B = 9/41

Step-by-step explanation:

cos is adjacent over hypotenuse. SOH(CAH)TOA

what is the equation, in point-slope form, for a line that gies through (8, -4) and has a slope of -5/6?

Answers

Answer:

y+4=-5/6(x-8)

Step-by-step explanation:

y-y1=m(x-x1)

y-(-4)=-5/6(x-8)

y+4=-5/6(x-8)

Please mark me as Brainliest if you're satisfied with the answer.

Need help please please i need help thanks ​

Answers

Answer:

1) 6 balls

Step-by-step explanation:

x = number of balls Elsa can shoot

x + 6 = number of balls Anna can shoot

18 = number of balls together they can shoot

x + (x + 6) = 18

x + x + 6 = 18

2x + 6 = 18

2x = 18 - 6

2x = 12

x = 6

2)2) 20x (3÷ 4)=90 120-90=30 thus left seat has 30 seating capacity.

3)Let x & y be packets of [a] type & [b] type detergent sold

Then 9x +7y =180

Let us say x=7

Then 9*7+7y =180

7y =180–63 = 117

y =117/7=19.2 this will not do as it contains decimal not whole number

Say x=6

Then 9*6 +7y =180

7y=180–54 =126

y =126/7 =18 this is acceptable as it is whole number

Answer: 6 packets of (a) and 18 packets of type (b) were sold to get 180Php

4) 5,6,7 female piglets

5)1kg. of rice is Php. 90.00 . Mang Tommy pays Php.360.00 for 4kg. of rice.

4kg of rice - Php. 360.00

3kg of pork- Php. 390.00

1kg of rice is Php. 90.00

1kg of pork is Php. 130.00

Refer to attachment for solution ~

Sorry for late, I didn't have time for it !

HELPPPPP PLEASE ACTUALLY GIVE ME THE ANSWER AND NOT JUST A link PLSSS ITS DUE IN 23 MINUTESSS!!!!!!!!!!!! HELP

Answers

Answer:

4 1/9

Step-by-step explanation:

Well we can infer that the whole number will be 4. And 0.111 repeating is 1/9 as a fraction.

i need help please!!!!

Answers

Answer:

not parallel.

Step-by-step explanation:

1) to perform the requirement, it is ehough to compare the slope AB and the slope CD (the coordinates are A(2;7); B(1;3); C(7;5); D(6;2));

2) slope of AB: (7-3)/(2-1)=4;

3) slope of CD: (5-2)/(7-6)=3;

4) finally, AB∦CD (4≠3).

The Wilsons are storing water in case there is a natural disaster. They have 12 small bottles of water that hold 8 ounces each. They also have 4 large bottles of water that hold 24 ounces each. They estimate that they have around 2,000 ounces of water in total. Is that a good estimate?

Answers

no, 12x8 = 96, and 4x24 = 96 as well. put that together it’s 192 ounces

10a + 4 =

........................................

Answers

What does 10a + 4=?
Answer is :2 (5a + 2)

Divide. Write the answer in simplest form. 14/27÷7=

Answers

Answer:

[tex]\frac{2}{27}[/tex]

Step-by-step explanation:

hope this helps! :D

have a MIRACULOUS day!! <3

Answer:

2/27

Step-by-step explanation:

14/27÷7

Convert The element to fraction: 7=7/1

=14/27 ÷ 7/1

Apply the fraction rule:

=14/27 x 1/7

Cross- cancel common factor: 7

2/27

pls help i really need help STOP SENDING ME LINK​

Answers

Answer:

0

Step-by-step explanation:

because your making it all to the zero power which equals zero

Answer:

0

Step-by-step explanation:

We will use the rule of order of operations

15 + 4 = 19

20 + 5 = 25

19 squared = 361

3 x 361 = 1083

25 squared = 625

625 x 2 = 1250

New equation =

1083 + 1250

=

2333

But you multiply by 0 so it equals 0

(-3, 5), (-4, 5) what is the slope

Answers

Answer:

0

Step-by-step explanation:

(5-5)/(-4+3) = 0/-1 = 0

I used a calculator
Other Questions
Again need help with these ones I dont understand and they have to show work how do the musicians feel about peter in romeo and juliet? 6. The effects listed in the following table are related to what cause? Factory orders for war production declined. Many soldiers returning home could not find work. U.S. farmers suffered from falling prices.A. DemobilizationB. Labor strikesC. Price controlsD. Red Scare On his recent free-throw attempts, Lamar made 4 shots and missed 6 shots. Considering thisdata, how many of his next 20 free-throw attempts would you expect Lamar to miss? 2 Select THREE expressions that are equivalent to 16x - 68 A. -4(4x - 17) B-28x + 3) c. 21-8-34) D 4 - 4 - 17) E 8 - 2x-8) pls help:( what is the Biology? What distance do I cover if I travel at 10 m/s E for 10s? Describe four ways in which natural processes add harmful particles to the air. this is the question hope u can solve it We enjoy _____ time together in the evening when the family members gather in the living room after a day of working hard. Is page one of the story the importance of being earnest the most important part/section of the story? If not what is the most important section? The Kaof hypochlorous acid (HClO) is3.00*10^-8. What is the pH at 25.0 C of an aqueous solution that is0.02M in HClO? Difficulty(Level:1)Which option below defines the law of conservation of energy-Energy is created but some is always lost when doing so-Energy or Chakra must be conserved to accomplish difficult ninjitsus-Energy constantly moves toward a form of disorder-Conserve Energy or the world will end-Energy is never created or destroyed, it just changes forms. K. Decker, S. Rosen, and E. Toso are forming a partnership. Decker is transferring $50,000 of personal cash to the partnership. Rosen owns land worth $15,000 and a small building worth $80,000, which she transfers to the partnership. Toso transfers to the partnership cash of $9,000, accounts receivable of $32,000 and equipment worth $39,000. The partnership expects to collect $29,000 of the accounts receivable.Account Titles and Explanation: Debit Credit(To record invstment of Decker)(To record investment of Rosen)(To record investment of Toso.)What amount would be reported as total owners? If x = 1, y = 7, and z = 15, determine a number that when added to x, y, and z yieldsconsecutive terms of a geometric sequence. What are the first three terms in thegeometric sequence? How did the Industrial Revolution affect towns and cities? help me pls??????? :) help find the height What is the theme of and of clay we are created Question 3 of 10Select the action you would use to solve 3x = 12. Then select the propertythat justifies that actionSelect all that apply.A. Action: Add 3 to both sides.B. Action: Multiply both sides by 3.C. Action: Divide both sides by 3D. Property. Addition property of equalityE. Property: Multiplication property of equalityDF Property Division property of equality