Which equation can be used to solve for b?

Triangle A B C is shown. Angle B C A is a right angle and angle C A B is 30 degrees. The length of side B C is 5 centimeters, the length of B A is 10 centimeters, and the length of C A is b.

tan(30o) = StartFraction 5 Over b EndFraction
tan(30o) = StartFraction b Over 5 EndFraction
tan(30o) = StartFraction 10 Over b EndFraction
tan(30o) =

Which Equation Can Be Used To Solve For B?Triangle A B C Is Shown. Angle B C A Is A Right Angle And Angle

Answers

Answer 1

Answer:

[tex]tan(30) = \frac{5}{b} [/tex]

Step-by-step explanation:

Trigonometric Ratios.

To solve for b, we check the parameters that are given in the triangle.

If we're considering 30°, we can see that the opposite is given as 5cm and the adjacent is b.

Applying:

[tex]tan \alpha = \frac{oppsite}{adjacent} \\ \\ tan \: (30) = \frac{5}{b} [/tex]

Answer 2

Answer:

a

Step-by-step explanation:

just did the quiz!!!!


Related Questions


1. What is the range of frequencies a human ear can hear?

Answers

Answer:

Humans can detect sounds in a frequency range from about 20 Hz to 20 kHz.

(Human infants can actually hear frequencies slightly higher than 20 kHz, but lose some high-frequency sensitivity as they mature; the upper limit in average adults is often closer to 15–17 kHz.)

A boy runs a distance of 200km in 25seconds. What is his average speed

Answers

Answer:

8 km average speed

Step-by-step explanation:

Answer:

His average speed is 28,800 km per hour.

Step-by-step explanation:

He runs 480 km per minute. Then I multiply 480 by 60 to get 28,800 km.

:))

what is 691÷3 in long division

Answers

Answer:

230.33333.

Step-by-step explanation:

To know how much 691/3 is in long division, the following mathematical calculation must be performed, taking into account that long divisions seek to divide both the whole numbers and the decimals of the number:

691/3 = 230 (1 left over)

1/3 = 0.333333

230 + 0.33333 = 230.33333

Therefore, 691 divided by 3 results in 230.33333.

525x =300x +45x What is the answer to this problem.

Answers

Answer:

x=0

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Each year, ratings are compiled concerning the performance of new cars during the first 90 days of use. Suppose that the cars have been categorized according to whether a car needs warranty related repair (yes or no) and the country in which the company manufacturing a car is based ( in some country X or not in country X). Based on the data collected, the probability that the new car needs a warranty repair is .08, the probability that the car is manufactured by a company based in country X is .60, and the probability that the new car needs a warranty repair and was manufactured by a company based in country X is .025. Use this information to answer (a) Through (D)

a.)Suppose you know that a company based in country X manufactured a particular car. What is the probability that the car needs warranty repair?

b.)Suppose you know that a company based in country X did not manufacture a particular car. What is the probability that the car needs warranty repair?

c.)Are need for warranty repair and location of the company manufacturing the car independent?

Yes or NO or Not enough information

Answers

Answer:

1. 0.0417

2. 0.1375

3. no

Step-by-step explanation:

lets define:

A as the probability that a car needs a warranty repair.

B as probability taht the car is manufactured by a company that is based in country X

we have the

prob(A) = 0.08

prob(B) = 0.60

prob(A∩B) = 0.025

a. we are to calculate the probability taht a car manufactured in country X needs a warranty repair.

= p(AIB) =

[tex]P(\frac{AnB}{p(B)}) \\[/tex]

= 0.025/0.60

= 0.0417

2. Probability that car needs warranty repair given it was not manufactured in country X.

P(AIB')

= p(A∩B')/P(B')

= 0.08-0.025/1-0.60

= 0.055/0.40

= 0.1375

3. no, Need for warranty repair and location are not independent

The probability that the car needs warranty repair is 0.0417, the probability that the car needs warranty repair was not manufactured in company X is 0.1375 and no, there is no need for warranty repair and the location of the company manufacturing the car is not independent.

Given :

Ratings are compiled concerning the performance of new cars during the first 90 days of use.Based on the data collected, the probability that the new car needs a warranty repair is .08.The probability that the car is manufactured by a company based in country X is .60.The probability that the new car needs a warranty repair and was manufactured by a company based in country X is .025.

a) The probability that the car needs warranty repair is given by:

[tex]\rm P(A|B) = \dfrac{ P(A\cap B)}{P(B)}[/tex]

[tex]\rm P(A|B) = \dfrac{0.025}{0.60}[/tex]

P(A|B) = 0.0417

b) The probability that the car needs warranty repair was not manufactured in company X is given by:

[tex]\rm P(A|B') = \dfrac{ P(A\cap B')}{P(B')}[/tex]

[tex]\rm P(A|B') = \dfrac{0.08-0.025}{1-0.60}[/tex]

P(A|B') = 0.1375

c) No, there is no need for warranty repair and the location of the company manufacturing the car is not independent.

For more information, refer to the link given below:

https://brainly.com/question/23044118

How to do 5x+2=52? ME GIVE BRAIN DO IT NOWWWWW

Answers

Hi there!

52 subtract by 2 is 50 and then dividing by 5 would be 10.

So x would be 10.

140 es múltiplo de 100​

Answers

Answer:

Step-by-step explanation:

No it isn't. 140/100 is NOT a whole number so 140 isn't a multiple of 100.

Mikey buys an assorted box of chocolates that contains 18.61 ounces of dark chocolate and 37.23 ounces of milk chocolate. how much do the chocolate weigh in total?

Answers

Answer:

55.84 oz

Step-by-step explanation:

Hope this will help

At 1:00 a.m., the temperature is 58º. At 9:00 a.m., the temperature is 76º. Find the rate of change in degrees per hour during this time.​

Answers

Answer:

1 AM = 58 Degrees

9 AM = 76 Degrees

Difference of temperate between the times:

18 Degrees

Divide every hour that passes by the total difference of temperate, which the hours are: 2, 3, 4, 5, 6, 7, 8, 9

18 / 8 = 2.25

Which means, the rate of change in degrees per hour is 2.25 degrees.

Step-by-step explanation:

Which table or graph shows the value of y going down as the value of x goes up?

Answers

Answer:

c.

Step-by-step explanation:

Q-U-E-S-T-I-O-N: Whats 1000000000000000000000000 multiplyed by 20000000
Its a weird word :/

Answers

Answer:

2e+31

Step-by-step explanation:

I NEED HELP PLSSSSSSS​

Answers

Variable, constant, hole

Please help! Will mark brainliest! ASAP

Answers

Answer:

165.00 dollars

Step-by-step explanation:

if_ is added to a number, the sum will remain the same. Hence _ is called the _in the whole number​

Answers

Answer:

Step-by-step explanation:

If 0 is added to a number, the sum will remain the same.

An advertising agency notices that approximately 1 in 50 potential buyers of a product sees a given magazine ad, and 1 in 8 sees a corresponding ad on television. One in 100 sees both. One in 4 actually purchases the product after seeing the ad, 1 in 10 without seeing it. What is the probability that a randomly selected potential customer will purchase the product

Answers

Answer:

Probability = 0.12025

Step-by-step explanation:

P (Am) = 1/50 = 0.02       {Magazine ad}

P (At) = 1/8 = 0.125         {Television ad}

P (Am ∩ At ) = 1/100 = 0.01      {Both ads}

P (Am U At) = P (Am) + P (At) - P (Am ∩ At )

= 0.02 + 0.125 - 0.01

P (Am U At)  = 0.135       {Person sees either ad}

P (Am' ∩ At') = 1 - P (Am U At)

P (Am' ∩ At')  = 1 - 0.135 = 0.865      {Person sees none ad}

Prob (Purchase) = Prob (Purchase with ad) + Prob (purchase without ad)

P (P/ A) = 1/4 = 0.25 , P (P / A') = 1/10 = 0.1

P (P) = (0.25) (0.135) + (0.1) (0.865)

= 0.03375 + 0.0865

0.12025

How many 3/5 are in 7

Answers

Answer:

11.6

Step-by-step explanation:

7 ÷ ⅗ = 11.6

I hope this answer is satisfactory. Please comment if you have any concerns.

Answer:

35/3 or 11 2/3

Step-by-step explanation:

This is a division problem.

We need to divide 7 by 3/5.

7 / 3/5 = 7/1 / 3/5 = 7/1 * 5/3 = 35/3 = 11 2/3

Answer: 35/3 or 11 2/3

Math will give brainliest

Answers

Answer: 312

Step-by-step explanation: i just times it

Answer:

Mutiply 24 and 13

24×13=312

312cm3

Find the distance between the two points (-5, -2) and T(-3, 4).

Answers

Answer:

[tex]\displaystyle d = 2\sqrt{10}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)

Algebra II

Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Step-by-step explanation:

Step 1: Define

Point (-5, -2) → x₁ = -5, y₁ = -2

Point (-3, 4) → x₂ = -3, y₂ = 4

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Substitute in points [Distance Formula]:                                                       [tex]\displaystyle d = \sqrt{(-3+5)^2+(4+2)^2}[/tex][√Radical] (Parenthesis) Add:                                                                        [tex]\displaystyle d = \sqrt{(2)^2+(6)^2}[/tex][√Radical] Evaluate exponents:                                                                    [tex]\displaystyle d = \sqrt{4+36}[/tex][√Radical] Add:                                                                                               [tex]\displaystyle d = \sqrt{40}[/tex][√Radical] Simplify:                                                                                         [tex]\displaystyle d = 2\sqrt{10}[/tex]

A car can travel 28 miles per 1 gallon of gas. How far can the car travel on 14 gallons of gas​

Answers

Answer:

392 miles in all.

Answer:

392 miles  

Thats it

22. Write the inequality for the graph shown below.


Help. Please.

Answers

The inequality is y greater or equal to -3/2x + 1

Steps are on paper
If you need more explanation about this, comment

Someone plz help been stuck on this question for the last 2 hours



Paul has $30,000 to invest. His intent is to earn 11% interest on his investment. He can invest part of his money at 7% interest and part at 13% interest. How much does Paul need to invest in each option to make a total 11% return on his $30,000?
7% interest =$?

13% interest =$?

Answers

Answer:

7% interest = $10000

13% interest = $20000

Step-by-step explanation:

Let the amount invested at 7% interest be x.

Let the amount invested at 13% interest be y.

Thus;

x + y = 30000 - - - (eq 1)

We want to find out how much Paul needs to invest in each option to make a total 11% return on his $30,000.

Thus;

0.07x + 0.13y = 0.11(30000)

Multiply through by 100 to get rid of the decimal;

7x + 13y = 0.11(30000 × 100).

7x + 13y = 330000 - - - (eq 2)

From eq 1, x = 30000 - y

Put this for x in eq 2 to get;

7(30000 - y) + 13y = 330000

210000 - 7y + 13y = 330000

6y = 330000 - 210000

6y = 120000

y = 120000/6

y = $20000

x = 30000 - 20000

x = $10000

Thus;

Amount invested at;

7% interest = $10000

13% interest = $20000

EASY WORK!!plz look at the photo and yes its easy for other people but not me for people asking.

Answers

Answer:

Here's a way this can help! If the graph it by two then any odd number will by by the middle, start by the origin and you'll be able to see it clearly.

Answer:

start by the origin and you'll be able to see it clearly

Step-by-step explanation:

uh

Can anyone help me with these 3 questions having trouble understanding

Answers

Answer:

1. up

Step-by-step explanation:

iyi dersler Good by

iyi dersler

please help me out. is it A B C D?​

Answers

The answer is: B sorry if I’m wrong

One way an author can call attention to the order of events in a narrative is by using

setting

description

dialogue

transitions

Answers

is by using transitions cuz it allows the reader to understand when there’s a shift in events but also the oder

WORTH 10 POINTS :)



Bo paid with 1/2 of his paycheck about 1/5 of the remainder in savings. The rest of his paycheck he divided equally among the college accounts of his 3 children.

1. What fraction of his paycheck went into each child's account?

2. If bo deposited $400 in each child's account, how much money was in Bo's original paycheck?​

Answers

Answer:for college, 1-1/2-1/5 = 3/10. Divided by 3 children, 3/10 /3 = 1/10

B. 400 = 1/10 of the total (from above), so 400 = x/10. x = 400*10 = 4000

Step-by-step explanation:

Answer:

1. 1/6 2. $2400

Step-by-step explanation:

If Bo had 1/2 of his paycheck leftover to divide among his 3 kids, 1/2 divided by 3 is 1/6.

If 1/6 of his paycheck is $400, then all 6/6 of his paycheck would be $2400.

28% of what number is 7? Round your answer to the nearest tenth.

Answers

Answer:

25

Step-by-step explanation:

hope i helped, if u have any additional questions feel free to reply here or msg me on ig (/craxzyx) !! <3

25 iS THE ANSEWR SO NOW JUST ROUND

Please help marking brainliest for correct answer

Answers

The answer is alternative exterior.

Answer:

alternate exterior

Step-by-step explanation:

A family borrows money for a rainforest tour. The simple annual interest rate is 12%. The loan is paid after 3 months. What is the total amount paid for the tour?

Answers

Answer:

1,266.90

Step-by-step explanation:

1. 940 + 170 + 120 = 1,230

2. 1,230 x 0.12 x 0.25 = 36.9

3. 36.9 + 1,230 = 1,266.90 (FINAL ANSWER)

What is the volume, in cubic
inches, of one cube with an edge length of 1/3
inch?


Answers

9514 1404 393

Answer:

  1/27 cubic inch

Step-by-step explanation:

The volume of a cube is the cube of its edge length:

  V = s³

  V = (1/3 in)³ = 1/3³ in³ = 1/27 in³

Other Questions
A student creates a table to show the different properties of water and its impacts on our environment. Which statement best completes the student's table?Property of Water Impact on EnvironmentFrozen structureThe rigid structure of ice can carve out landscapes.Regions around water are cooler in the summer.Specific HeatSurface TensionA: Insects can walk on the surface of water.B: Many other substances can be broken down in a water solution.C: Solid ice is more dense and forms on top of rivers and lakes.D: Water is polar and can dissolve and move rocks and minerals. anovas are used when the study has: three or more groups to compare one or more groups to compare four or more groups to compare five or more groups to compare Andy made a deposit to his checking account and received $50 in cash. His deposit slip shows a total deposit of $500. If he deposits checks worth 4 time the value of the currency deposited, how much did he deposit in a currency and checks Convert the polar representation of this complex number into its standard form. A 4-451 B. -43-4/ C. -85 +8/ D. 4-43 i Select all that apply. Which types of formulae can not be derived by an application of existential elimination (EE)? 1 points A. atomic formulae B. conjunctions C. disjunctions D. conditionals E. biconditionals E. negations G. universals H. existentials I. the falsum J. none of the above-all formula types can be derived using E nicole purchased a power boat for $15,000 and was told by the salesman that the yearly average cost to operate the boat was approximately $900. in what year of ownership will nicole's average annual cost of owning the boat be $3900? A system of two objects suspended over a pulley by a flexible cable is sometimes referred to as an Atwoods machine. Here, let the mass of the counterweight be 1000 kg. Assume the mass of the empty elevator is 850 kg, and its mass when carrying four passengers is 1150 kg. For the latter case calculate (a) the acceleration of the elevator and (b) the tension in the cable. Is the tension different when you calculate the tension in the cable of the elevator and the counterweight? If not, explain why. Consider following information: Probability of the state of economy Rate of return if state occurs Stock 1 Stock 2 Recession 0.2 3 % 2 % Boom 0.8 10 % 8 % 1) Calculate the expected return of a Portfolio1 invested 40% in Stock 1 and 60% in Stock 2. Express your answer as %. 2) Calculate the standard deviation of a return on a Portfolio1 invested 40% in Stock 1 and 60% in Stock 2. Express your answer as %. Which organization is responsible for the formulation of new international financial reporting standards? The International Accounting. non static local variables inside a function have a __________ scope and a lifetime of ___________ one of the most straightforward ways to improve the quality of the hits returned in a search is to use ____-essentially typing more than one keyword in a keyword search. the baby bust period created a(n) a. sharp rise in unemployment b. excess of young workers c. shortage of young workers d. huge increase in retirees The rate of growth of a population of bacteria is given by P'(t) = 3e' -e, and it is known that P(2) = 3e. Which of the following represents the population P(t) at any time t? (A) P(t) = 3e^t -1/6e^6+3e^2 (B) P(t) = 3e^t (C) P(t) = 3e^t - te^5 + 2e^5 (D) P(t) = 2e^5 (E) P(t) = 3e^t - te^5 The moment of inertia of the rotor of the medical centrifuge is I = 0.2 kg-m^2. The rotor starts from rest and the motor exerts a constant torque of 0.8 N-m on it. (a) How much work has the motor done on the rotor when the rotor has rotated through four revolutions? (b) What is the rotor's angular velocity (in rpm) when it has rotated through four revolutions? A container contains three gases, N2, O2 and Ar, with partial pressures of 23. 3 atm, 40. 9 atm and 13. 7 atm respectively. What is the total pressure inside the container? To prove that 2 functions are of each other, one must show that f(g(x)) = x and g(f(x)) = x 127. determine the power intensity of radiation per unit wavelength emitted at a wavelength of 500.0 nm by a blackbody at a temperature of 10,000 k. what must be bound the small subunit of the ribosome in order for it to bind to the start codon of the mrna molecule which of the following statements about the federal national mortgage association is true? select one: a. it raises funds to purchase loans by selling government guaranteed bonds b. it regulates interest rates c. it borrows money from itself d. none of the above a triangulaar depression occurs inferior to the inguinal ligament which of the contents of this structure is most medial , is defined as ..