using the law of sines, solve for ‘x’

Using The Law Of Sines, Solve For X

Answers

Answer 1

Answer:

[tex]x=9.91098[/tex]

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDAS

PreCalc

Law of Sines: [tex]\frac{sin(A)}{a} =\frac{sin(B)}{b} =\frac{sin(C)}{c}[/tex]

Step-by-step explanation:

Step 1: Define

A = 15°

a = 7.5 mi

B = 20°

b = x

Step 2: Solve for x

Substitute:                    [tex]\frac{sin(15)}{7.5} =\frac{sin(20)}{x}[/tex]Cross-multiply:             [tex]xsin(15)=7.5sin(20)[/tex]Isolate x:                       [tex]x=\frac{7.5sin(20)}{sin(15)}[/tex]Evaluate:                       [tex]x=9.91098[/tex]

Related Questions

Please hurry please

Answers

Answer:yes

Step-by-step explanation:

44/4=11

11 is less than 27

FIANCE 50 HELP ASAP

Calculate the required return for a Company Z that has a beta of 1.4 if the market risk premium is 9% and the risk-free rate is 4%.

Answers

Calculate the risk measure (beta) compared to the returns of asset and market premium.

1.4 = 4 + 9((rm^-4)

1.4 = 9rm ^-32

33.4 = 9rm

Rm = 3.71

The answer is 3.71

Solve five and three sixths minus two and one third.

(GIVING BRAINLIEST AND EXTRA POINTS ON THIS ONE!! PLS HELP ASAP!)

A) Two and three eighteenths

B) two and two ninths

C) three and two ninths

D) three and three eighteenths

(Here is an image if needed) :

Answers

Answer:

3 3/18

Step-by-step explanation:

5 3/6-2 1/3

We first need to turn our mixed numbers into fractions by multiplying the while number by the denominator, then adding the numerator. When we do this, 5 3/6 turns into 33/6 and 2 1/3 turns into 7/3. Now we have this:

33/6-7/3

Now we need to find the Least common multiple of the denominators in order to find our common denominator, which in this case is 6. 33/6 already has a denominator of 6, so we do not need to do anything to it. To give a denominator of 6 to 7/3, however, we must multiply by 2, giving us this:

33/6-14/6

Now we can subtract the numerators.

19/6

To turn this back into a mixed number, we divide 19 by 6, which gives us 3 with a remainder of 1. Therefore, our answer is 3 1/6. This is an equivalent fraction to the fourth answer, 3 3/18.

HTH :)

Answer:

3 3/18

Step-by-step explanation:

V = 4 + at, solve for A

Answers

Answer:

a=v-4

Step-by-step explanation:

Which of the following could represent the unit side lengths of a right triangle

A 5,8,10

B 3,5,7

C 6,11,13

D 12,16,20

Answers

Answer:

Choice D

Step-by-step explanation:

If you check each one plugging in your info into this you can get [tex]a^{2} +b^{2} =c^{2}[/tex] that 12² + 16² will equal 400 which is the same as 20².

Answer:

Answer: D 12,16,20

Step-by-step explanation:

The Pythagora's Theorem

On a right triangle with side lengths of a,b, and c, being c the hypotenuse, of the longest side, it follows that:

[tex]a^2+b^2=c^2[/tex]

The set {a,b,c} is often called a Pythagorean Triple.

Testing every option:

A

[tex]5^2+8^2=10^2[/tex]

[tex]25+64 = 100[/tex]

89 = 100

Since equality is false, 5,8,10 are not the side lengths of a right triangle.

B

[tex]3^2+5^2=7^2[/tex]

[tex]9+25 = 49[/tex]

34 = 49

Since equality is false, 3,5,7 are not the side lengths of a right triangle.

C

[tex]6^2+11^2=13^2[/tex]

[tex]36+121 = 169[/tex]

157 = 169

Since equality is false, 6,11,13 are not the side lengths of a right triangle.

D

[tex]12^2+16^2=20^2[/tex]

[tex]144+256 = 400[/tex]

400 = 400

Since equality is true, 12,16,20 could be the side lengths of a right triangle.

Answer: D 12,16,20

A large farm tractor costs $98,424. If a farmer makes 36 equal payments, how much is each payment

Answers

Answer:

$2734

Step-by-step explanation:

$98,424 / 36 = $2734

Divide. Express your answer in simplest form. ○14 ○ 49 ○98 ○28​

Answers

Answer: 49

see below for work

Answer:

gang gang

Step-by-step explanation:


If f(x) = 22 +3 and g(2) = 32 – 2, then what is (f.g)(x)?

Answers

Answer:

(22+32) (3) I think

Step-by-step explanation:

Un banco de México es comprado por otra institución de origen español. El nuevo director, decide fusionar la operación entre ambas instituciones donde se aprovisionen servicios de internet desde España a México. Para lograr lo anterior, ¿qué debe plantear el director como proyecto para unir ambas operaciones?

Answers

Question:

A bank in Mexico is bought by another institution of Spanish origin. The new director decides to merge the operation between both institutions where internet services are provided from Spain to Mexico. To achieve this, what should the director propose as a project to unite both operations?

My mom translated this for me and I am writing the reply with Google Translate sorry if it sucks.

Ésta es una pregunta muy específica. Creo que dependería de la preferencia del director y de los fondos.

the product of the sum and the difference of 8x and 4y

Answers

Answer:

4

Step-by-step explanation:

o dont really know. I dont understand the question

You can’t solve this because you can’t add or subtract different variables. However you can multiply different variables and it’ll give you 32xy

Lou deposited $3,500 into a savings account. The simple interest rate is 4%. How much interest will the account earn in 10 years?

Answers

Answer:

2 years : $280

10 years: $1400

Step-by-step explanation:

The amount of interest earned in 10 years will be $1,400.

What is simple interest?

Let P be the principal, R be the rate of interest, and T be the time. Then the interest rate is given as,

The formula for interest is written as,

I = (PRT)/100

$3,500 was put into a savings account Lou. 4% is the simple interest rate.

The amount of interest after 10 years is calculated as,

I = ($3,500 x 4 x 10) / 100

I = $1,400

The amount of interest earned in 10 years will be $1,400.

More about the simple interest link is given below.

https://brainly.com/question/2793278

#SPJ7

Please help me with this, thank you

Answers

1. AD and BC bisects each other at E

1. Given

2. ABE ≈DCE

2. Vertical Angles

3. ABE≈DCE

3. SAS postulate

X+1=4x-2
How do u break this down??

Answers

Answer:

x+1=4x-2

Subtract x from both sides

1=3x-2

Add 2 to both sides

3=3x

Divide 3

x=1

Answer:

x+1=4x-2

-4 -4

-3x+1=-2

-1 -1

-3x=-3

x=-3÷-3

x=1

I have to select which pair of triangles can demonstrate congruence. Any help?

Answers

Answer: Choice D is correct

You use the HL (hypotenuse leg) theorem here.

The hypotenuse is the side opposite the right angle. In this case, the two hypotenuse segments overlap perfectly, so you'll use the reflexive property. The tickmarks tell us that we have a pair of congruent legs.

The other choices don't have enough information to be able to say if the triangles are congruent or not.

The pair of triangles D can demonstrate congruence. We are aware that two triangles are said to be congruent if the corresponding sides and angles of one triangle are equal to those of another triangle.

What is congruence in the triangles?

The measurements of the sides and angles of two or more triangles determine their congruence. A triangle's size is determined by its three sides, and its shape is determined by its three angles. If the pairs of corresponding sides and angles of two triangles are equal, they are said to be congruent.

The side opposite the right angle is known as the hypotenuse. You will employ the reflexive characteristic in this instance since the two hypotenuse segments exactly overlap one another. We have a set of legs that are congruent, according to the tickmarks.

The information provided by the alternate options is insufficient to determine whether or not the triangles are congruent.

Thus, the pair of triangles D can demonstrate congruence. We are aware that two triangles are said to be congruent if the corresponding sides and angles of one triangle are equal to those of another triangle.

Learn more about the congruence in the triangles here:

brainly.com/question/20521780

#SPJ2

A pair of shoes is on sale for 15% off.With this discount,customers will save $9 if they buy the shoes.What was the original price of the shoes?

Answers

15 percent off 9.00 is 7.65

Step-by-step explanation:

The difference is 1.35

( x + 9 ) - ( x -2 )=

Answers

Answer:

x = -7/2

Step-by-step explanation:

( x + 9 ) - ( x -2 )=

2x +7 =

2x = -7

x = -7/2

(IM GIVING BRAINLIEST AND EXTRA POINTS TO WHO EVER HELPS ME!)

Watch the video of the can moving across the surface. What can the child do to create a greater force of friction?

*two hands moving a can back and forth on a table*

A) Make the table wet.

B) Place a cloth on the table.

C) Use less force when pushing the can.

D) Use more force when pushing the can.:(Inncorect)

(Here is an image) :

Answers

Answer:

i think its B

Step-by-step explanation:

D, C, and A are def wrong so i think its B

i hope i helped you!

Answer: that would be d

Step-by-step explanation:

why does cutliest give me wrong answers =(​

Answers

Use something else then lol

Let the factors, a1, a2, … a9 of a9 be written in a square 3 by 3 array as indicated. Let a1 Help me plz

Answers

Answer:

61.2

Step-by-step explanation:

To solve this, we would have to use the arithmetic progression formula

S(n) = a + (n - 1) d, where

S(n) = is the value of the nth term

a = value of the first term

n = the nth term we're interested in

d = difference between successive terms

We're given that the first term, a1 = 1.we also know that the 6th term, a6 = 44

If so, we can use this to get our "d", saying

44 = 1 + (6 - 1) d

where

44 is the value of the 6th term, and n is 6. Also, the first term a = 1. Simplifying further we have

44 = 1 + 5d

5d = 44 - 1

5d = 43

d = 43/5

d = 8.6

This means that the difference between successive term is 8.6, we then use this "d" to find our 8th term

S(n) = 1 + (8 - 1) 8.6

S(n) = 1 + 7 * 8.6

S(n) = 1 + 60.2

S(n) = 61.2

Therefore, the 8th term is 61.2

Select the correct statement about the function represented by the table.

Answers

Answer:

Option (A)

Step-by-step explanation:

x                y                  Ratio [tex](\frac{y_2}{y_1})[/tex]

1                7                       -

2              21                   [tex]\frac{21}{7}=3[/tex]

3              63                  [tex]\frac{63}{21}=3[/tex]

4             189                 [tex]\frac{189}{63}=3[/tex]

5             567                [tex]\frac{567}{189}=3[/tex]

Since, there is a common ratio in each successive term of y over the equal interval of x values,

Given table will represent an exponential function.

Therefore, Option (A) will be the correct option.

Find the value of x 105 150 135 125 140 135 x​

Answers

By using the fact that the sum of the interior angles is 900°, we will find that the value of x is 110.

How to find the value of x?

We know that for a figure of N sides, the sum of the interior angles gives:

S = (N - 2)*180°

In this case, we have 7 sides, then the sum of the interior angles gives:

S = (7 - 2)*180° = 5*180° = 900°

Adding the 7 angles we get:

105° + 150° + 140° + x° + 135° + 125° +135° = 900°

790° + x° = 900°

x° = 900° - 790°

x = 110°

The value of x is 110.

Learn more about interior angles:

https://brainly.com/question/24839702

#SPJ1

The regular price of an item is $109.99. It is marked 25% off. Find the discount and the sale price to the nearest cent.

Answers

Answer:

The discount price is $27.50

The sale price of item is $82.49

Step-by-step explanation:

Regular price of item = $109.99

Discount = 25%

We need to find discount and the sale price to the nearest cent.

Finding Discount Price

First we need to find 25% of 109.99 which is the discount price

[tex]25\% \ of \ 109.99\\=\frac{25}{100}*109.99\\=27.50[/tex]

The discount price is $27.50

Now, finding Sale price

Sale Price= Regular Price - Discount Price

Sale Price= 109.99 - 27.50

Sale Price = 82.49

The sale price of item is $82.49

PLEASEEEE HELPPPPPPPPPPPPPPPPPPPP

Answers

1,3,5 I believe. I hope you have a great day boyyyyyyyyyyy
I agree with the person on the top

A certain plant grows 1 1/6 inches every week. How long will it take the plant to grow 4 1/6 ​inches?

Answers

Answer:

3 weeks and 4 days.

Step-by-step explanation:

If the plant grows 1 1/6 inches every week, then that means 1/6 inch everyday. 1 1/6 x 3 = 3 3/6

3 3/6 + (1/6 x 4) = 4 1/6

3 weeks and 4 days

3 weeks , 4 days. does it ask to show your work or ask for an explanation..?

as a membership fee, a health club charges a one time amount of $40 and charges $25 each month. the total fee after m months is $240 what is the value of m

Answers

Answer:

The value of M is M I just kidding but the value of M is 4 Months because if you add 40 and 25 each time then eventually you would get 240$. Hope this helps please give brainlist. Please

Answer:

m= 4 months

Step-by-step explanation:

divide and subtract them numbers

When 5(2x+3)-(x+4) simplified is?

Answers

Answer:

9x + 11

Step-by-step explanation:

5(2x+3)-(x+4)

10x+15-x-4        Use distributive property

10x-x +15-4       Combine like terms

9x + 11

Hope this helps!

For a sample, the 95% confidence interval is (0.202, 0.482). What is the point estimate, \hat{p}, of this sample?

Answers

Answer:

The Point estimate p = 0.342

Step-by-step explanation:

For the sample, 95% confidence interval (0.202,0.482) . The Confidence interval width = (0.482 - 0.202) = 0.28

The margin of error = 0.28/2

The margin of error = 0.14

So, Point estimate p = Lower bound + Margin of error

Point estimate p = 0.202 + 0.14

Point estimate p = 0.342

Therefore, the Point estimate p = 0.342

Which equation has a solution of 54.73 for n?
n +8 = 62.73
n - 8 = 62.73
62.73 + 8 = n
8-46.73 = n​

Answers

Answer:

n + 8 = 62.73

the first one

Step-by-step explanation:

The sum of two numbers is 60 and the difference is 6. What are the numbers?

Answers

Answer:

33 and 27

Step-by-step explanation:

60 ÷ 2 is 30

33 is 6 more than 27

Please define the following terms:

mercantilism, import, export, enumerated article, legislature, indentured servant, Navigation Acts, Dominion of New England, English Bill of Rights.

Answers

Answer:

★ Mercantilism - loosely related policies developed by Britain so that the colonies could be used as a source of raw materials.

★ Import - when items are brought in from other countries.

★ Export - when items are sold from one country to another.

★ Enumerated Article - certain crops and items, such as sugar, tobacco, cotton, ginger, and some dyes, that could not be shipped, carried, conveyed, or transported under the Navigation Act of 1660.

★ Legislature - a group of people coming together to legitimize decisions.

★ Indentured Servant - colonists who received free passage to North America in exchange for working without pay for a certain number of years.

★ Navigation Acts - band of laws that restriced the use of foreign shipping for trade only between england and its colonies.

★ Dominion of New England - an english governing organization that united the New England colonies into a single administrative unit from 1686 to 1689.

★ English Bill Of Rights - act passed by parliament, that ensured the superiority of parliament over the monarchy.

Step-by-step explanation:

Hope you have a great day ;-)

Other Questions
What are the pros and cons for E-trade? 12. If the particles of a liquid are always moving, why don't they all come apart from each other and become a gas? Bryce grows a sunflower that contains 1,354 sunflower seeds. Six people share the harvested seeds. If they share the seeds equally, how many seeds will be left over? ANSWER BOTH PAGES PLEASE I NEED IT ASAP The area of a square is 81 m ^ 2 what is the perimeter of the square? How do you know? 3. Shirky describes that the Internet gives us a many-to-many pattern when it comes to networks. How might this be beneficial or detrimental to journalists needing to decide between personal and observational sources? What is the term for the politicians and statesmen who played a crucial role in the outset of independence and the creation of the new nation?A. Red coats B. Congress C. Sons of Liberty D. Founding Fathers what is fart? explain and what do you call it? Tony and some friends went to the movies. They bought 4 drinks and 2 tubs of popcorn and spent a total of $32.50 on the food. Each drink costs $3.50 less than a tub of popcorn. a. Define a variable. Write an equation that can be used to find the cost of one tub of popcorn.b. Solve the equation to find the cost of a tub of popcorn. please helpHello,I will mark brainliest to the one who answersmy question right and who does not copy whatsomeone else answered No cussing andor Inappropriate words to get marked brainliestThanks,brownarietta8P.s please tell me if my screen looks pink A tutor work with 3 students. The oldest student is 6 years oldder then the middle student, and the youngest student is 3 years younger than the middle student. The sum of the ages of the students is 30. How many years old is the youngest student fireworks convert chemical energy into what kind of energy a scientific theory can be modified. do you agree or disagree provide evidence a long thank you!!!! Please it's due today A typical red blood cell in human blood has a diameter of approximately 0.000007 m. Enter this diameterin scientific notation.In scientific notation, this diameter isx 10m. Plz I need help!!I could have given up, but I thought about my grandmother. She always told me that people who believe that science is the answer to everything are missing out on everything else. With her words in mind, I searched some more. There were many facts that hinted that dragons may not be fictional. noticed that cultures across the world a described dragons in similar ways. This was odd because they had no way to communicate with each other. I found dragons mentioned in more than just stories. They appeared in old legel papers, in the travel logs of Marco Polo, and in the Bible. I saw that the Chinese calendar uses different animals each year. Dregons are included along with eleven red animals. I began to believe it was a real possibility that all of these people were taking about a creature the actually existed. List three details from the text support the main idea. The climax of Wiley, His Mother, and the Hairy Man occurs whenWiley gets out of the tree without being hut by the Hairy Man.The Hairy Man dissolves the ropes that are tying up the dogs.The Hairy Man realizes that he stole a pig, not a human baby.Mama tells Wiley that the Hairy Man will not hurt him anymore. 15 pts and brainliest, true, correct answers only If NAB and AN= 1 3 AB, then BN = AB. FREE ANSWERS PEEPSSSSSSSSSSSSSSSSSSSSSSSSSS Find the sales tax. Then find the total cost of the item. Sales Tax Selling Price Rate of Sales Tax Sales Tax $80.00 6% ?