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) =

Answer:

2e+31

Step-by-step explanation:

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

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.)

Answer: 312

Step-by-step explanation: i just times it

Answer:

Mutiply 24 and 13

24×13=312

312cm3

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.

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 :

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

Answer:

Step-by-step explanation:

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

Answer:

c.

Step-by-step explanation:

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

Answer:

392 miles in all.

Answer:

392 miles  

Thats it

Hi there!

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

So x would be 10.

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)

Answer:

1. up

Step-by-step explanation:

iyi dersler Good by

iyi dersler

Answer:

Step-by-step explanation:

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

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:

Answer:

x=0

Step-by-step explanation:

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

Answer:

alternate exterior

Step-by-step explanation:

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

Answer:

55.84 oz

Step-by-step explanation:

Hope this will help

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

Answer:

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

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Algebra II

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

Answer:

165.00 dollars

Step-by-step explanation:

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

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.

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

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.

:))