how do i solve this question?

How Do I Solve This Question?

Answers

Answer 1

Answer:

[tex]x = 18[/tex]

[tex]y = 6\sqrt{3}[/tex]

Step-by-step explanation:

Trigonometric Ratios

The ratios of the sides of a right triangle are called trigonometric ratios. The longest side of a right triangle is called the hypotenuse and the other two sides are called the legs.  

Selecting any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides as follows:

Cosine Ratio

[tex]\displaystyle \cos\theta=\frac{\text{adjacent leg}}{\text{hypotenuse}}[/tex]

Sine Ratio

[tex]\displaystyle \sin\theta=\frac{\text{opposite leg}}{\text{hypotenuse}}[/tex]

Consider the angle of θ=30°, then we can write:

[tex]\displaystyle \cos 30^\circ=\frac{x}{12\sqrt{3}}[/tex]

Solving for x:

[tex]x=12\sqrt{3}\cos 30^\circ[/tex]

Since:

[tex]\cos 30^\circ=\frac{\sqrt{3}}{2}[/tex]

Then:

[tex]x=12\sqrt{3}\cdot \frac{\sqrt{3}}{2}[/tex]

[tex]x = 18[/tex]

Now apply the sine:

[tex]\displaystyle \sin 30^\circ=\frac{y}{12\sqrt{3}}[/tex]

Solving for y:

[tex]y=12\sqrt{3}\sin 30^\circ[/tex]

Since:

[tex]\sin 30^\circ=\frac{1}{2}[/tex]

Then:

[tex]y=12\sqrt{3}\cdot \frac{1}{2}[/tex]

[tex]y = 6\sqrt{3}[/tex]

Answer:

[tex]x = 18[/tex]

[tex]y = 6\sqrt{3}[/tex]


Related Questions

Since people are sad they missed my 50 points, here is 100 points for the first 2 to answer. First one gets branliest aswell.

Answers

Ummm is there something I Guccie


Which two numbers have a mean of 10 and a range of 4?

NEED THIS ASAP PLEASE I WILL LEAVE A GOOD RATING ​

Answers

the answer would be 12 and 8

X – y=11
3x + 10y= -6

Answers

Answer:

(8, - 3 )

Step-by-step explanation:

Given the 2 equations

x - y = 11 → (1)

3x + 10y = - 6 → (2)

Multiplying (1) by 10 and adding to (2) will eliminate the y- term

10x - 10y = 110 → (3)

Add (2) and (3) term by term to eliminate y

13x + 0 = 104

13x = 104 ( divide both sides by 13 )

x = 8

Substitute x = 8 into either of the 2 equations and solve for y

Substituting into (2)

3(8) + 10y = - 6

24 + 10y = - 6 ( subtract 24 from both sides )

10y = - 30 ( divide both sides by 10 )

y = - 3

solution is (8, - 3 )

Which rational function has vertical asymptotes at x=-3 and 9,a horizontal asymptote at y=1, and an x-intercept of 0?
•h(x)=x^2/x^2-6x-27

Answers

Answer:

Yes that function does •h(x)=x^2/x^2-6x-27

Step-by-step explanation:

Yes that function does •h(x)=x^2/x^2-6x-27

what is the rate and unit rate for 115 miles on 9 gallons of gas​

Answers

Answer:

the actual answer is 12.7777777778 but you can break it down to about 12.8

Step-by-step explanation:

Hope this helps :)

The length of a ship is 247 metres, correct to the nearest metre.
Write down the minimum length of the ship.

Answers

Answer:

246.50

Step-by-step explanation:

A car travels 72 miles on 6 gallons of gas. At that rate, how much gas will it need to travel 204 miles?

Answers

Answer:

17 gallons

Step-by-step explanation:

First find how many miles it can travel with 1 gallon which would be 72÷6 = 12 So 1 gallon can takes it to 12 miles

Do 204÷ 12 = 17

Answer:

17 galloons

Step-by-step explanation:

72 Miles= 6 galloons

144 miles = 12 galloons

204 miles = 17 galloons

in every 12 miles is equivalent to 1 galloon of gas so basically when you divide 204 into 12 you will get 17. you need 17 galloons of gas

Please please help please please ASAP please

Answers

Answer:

14.52

Step-by-step explanation:

With reference angle 32°

perpendicular (p) = 9

base (b) = x

Now

Tan 32° = p / b

0.62 = 9 / x

x = 9 / 0.62

x = 14.52

PLEASE HELP ASAP!! LUL

Answers

Answer:

Step-by-step explanation:

it should add up to 360°

360=135 + 120 + 7x-64+5x-4+3x+31+4x+15+6x-8     (seems like too much huh)

360=225+25x  ( much better just add the x terms and the constants together)

135 = 25x  ( just subtract 225 from each side of the equation)

5.4 = x  ( divide 135 by 25 )

Pls helppp and thank you

Answers

Answer:

∠ 2 = 60°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the given angles fro 180° for ∠ 2, that is

∠ 2 = 180° - (57 + 63)° = 180° - 120° = 60°

HELP ME PLEASE
Use the table to answer the question.
Avocados Price
$1.15
$2.30
$5.75
$11.50
1
2
5
10
How much will 3 avocados cost?
O $1.15
O $3.45
O $4.45
O $4.60

Answers

one Avocado costs 1.15 you need 3

1.15×3=3.45

$3.45 because just multiply 3 and 1.15 and you’ll get $3.45

combine these like terms 4 girls + 2 girls - 3 boys

Answers

Answer:

6 girls - 3 boys

Step-by-step explanation:

Answer:

6girls - 3 boys

Step-by-step explanation:

4 girls + 2 girls =6 girls

you cant mix girls and boys so you still have 3 boys

A marketing company is hiring two college students to hand out brochures near an event. Marshall hands out 300
brochures in 2 hours. Silas hands out 240 brochures in 90 minutes. Who handed out more brochures per minute?


Neither. They handed out brochures at the same rate.

Marshall

Silas


Answers

Answer:

silas

Step-by-step explanation:

Simplify so it's in slope-intercept form (y=mx+b)

y - 125 = 55(x - 2)

Answers

Answer:

y = 55x + 15

Step-by-step explanation:

i think this is it, but it might not be right

Jackson biked k kilometers. Maria biked 8 more kilometers than Jackson. Peter biked 2 fewer kilometers than Jackson.

Drag and drop the expressions into the boxes to write an expression that represents the total number of kilometers Jackson, Maria, and Peter biked in all.

k
8
12
k+2
k+8
k+10
k-2
k-8

Answers

Answer:

Step-by-step explanation:

The expression for the total distance covered.

k + (k + 8) + (k - 2)

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Distance biked:

Jackson = k

Maria = k + 8

Peter = k - 2

Now,

The total distance biked.

= k + k + 8 + k - 2

= 3k + 6

= 3 (k + 2)

Thus,

The total distance covered is 3 (k + 2).

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

Anthony scored 28 points in a recent basketball game. He made a total of 12 baskets. How many 2 and 3 point shots did he make? (Consider only the 2 and 3 point shots: no free throws)

Answers

Answer:

8 2-point shots and 4 3-point shots

Step-by-step explanation:

Anthony scored 28 points with 12 baskets. Saying that, (with x-y representing 2 point shots-3 point shots) any combination with a supermajority (at least 75% of) of either shot is out. This leaves just 5 possible combinations. 8-4, 7-5, 6-6, 5-7, and 4-8. Multiply the first number by 2 and the second by 3.

(4 * 2) + (8 * 3) = 8 + 24 = 32 points, so no.

(5 * 2) + (7 * 3) = 10 + 21 = 31 points, so no.

(6 * 2) + (6 * 3) = 12 + 18 = 30 points, so no.

(7 * 2) + (5 * 3) = 14 + 15 = 29 points, so no as well.

(8 * 2) + (4 * 3) = 16 + 12 = 28 points, so this is the combination we're looking for.

Someone please answer this for me ASAP

Answers

the answers are

31
7
1
-5

i hope this helped. have a good day
-5, 31
-1, 7
0, 1
1, -5

The best way to find the answer to this question is to type in the equation into a graphing calculator under “y=“ then press the graph/ table button!

Please please help! Will mark brainliest!

Answers

Answer:

-

Step-by-step explanation:

maya joins two peices of wood together one peice is 36 inches long the total lenght of both peices is 62 how long is the other peice of wood


help ;-;...

Answers

Answer: 26

Step-by-step explanation:

62-36=26

Answer: 26

You simply have to subtract 36 from 62

How long it takes for something to travel a certain distance is the definition of:

Answers

Answer: boat

Step-by-step explanation: the farthest it can go is weeks

can i have some help please( BRAINLLEST)

Answers

Answer:

2

-3

same thing

Step-by-step explanation:

Manny wants to find ways to reduce his current debt. The table below shows Manny’s monthly income, expenses and net income.


Monthly Budget
Amount
Income
Wages
$3,000.00
Expenses
Rent
$1,200.00

Utilities
$269.34

Entertainment
$220.00

Food/Clothes
$368.00

Cell Phone
$89.42

Credit Card #1
$94.62

Credit Card #2
$36.18

Car Insurance
$80.00

Car Payment
$300.00

Gym Membership
$25.00
Net Income

$317.44


After evaluating Manny’s monthly budget, which of the following would be the best option to reduce his debt?
a.
Manny could spend less on entertainment each month and put the money towards a new cell phone.
b.
Manny could pay the minimum monthly payments on his credit cards and put the money towards his car payment.
c.
Manny could spend less on food and clothes and put the money towards his credit card payment.
d.
Manny could cut his utlility costs and put the money towards buying a new house.

Answers

Answer:

c.  Manny could spend less on food and clothes and put the money towards his credit card payment.

Step-by-step explanation:

Edge 2021

Based on the information given, Manny can reduce his current debt by: C. Manny could spend less on food and clothes and put the money towards his credit card payment.

What is a credit card?

A credit card refers to a small rectangular-shaped plastic card that is issued by a financial institution (banks) to its customers, which allows them to purchase goods and services on credit, especially based on the agreement that the amount of money taken would be paid later with an agreed upon interest rate.

How to calculate monthly payment.

Mathematically, the monthly payment for a credit card is given by this formula:

[tex]M=P(\frac{r}{1-(1+r)^{-nt}} )[/tex]

Where:

P is the principal.r is the interest rate.M is the monthly payment.t is the time.n is the number of times it's compounded.

In this scenario, Manny can reduce his current debt by spending less amount of money on both food and clothes while putting the money towards his credit card payment.

Read more on monthly payment here: https://brainly.com/question/2151013

Solve the fraction problem and reduce the answer to simplest form:
1/5 + 3/4 = ??
7/9 - 3/5= ??
6/8 - 2/7 = ??
5/6 + 5/10 = ??
7/8 - 2/3 = ??
8/10 + 5/6 = ??
9/11 - 2/3 = ??

Answers

Answer:

1. 19/20

2. 8/45

3. 13/28

4. 4/3

5. 5/24

6. 49/30

7. 5/33

Fractions are integers that have both a numerator and a denominator. Fraction comes in the form: [tex]\frac{x}{y}[/tex]

where x = numerator and y = denominator.

a) 1/5 + 3/4

We find the Lowest common denominator (5, 4) = 20

Hence: 4 + (5 x 3) / 20

= 4 + 15 / 20

= 19/20

b) 7/9 - 3/5

We find the Lowest common denominator (5, 9) = 45

Hence: (7 x 5)  + (9 x 3) / 45

= 35 - 27 / 45

= 8/45

c) 6/8 - 2/7

We find the Lowest common denominator (7, 8) = 56

Hence: (6 x 7) - (2 x 8) / 56

= 42 - 16 /56

= 26/56

= 13/28

d) 5/6 + 5/10

We find the Lowest common denominator (6, 10) = 30

Hence: (5 x 5) + (5 x 3) / 30

= 25 + 15 / 30

= 40/30

= 4/3

= 1 1/3

e) 7/8 - 2/3

We find the Lowest common denominator (3, 8) = 24

Hence: (7 x 3) - (2 x 8) / 24

= 21 - 16 / 24

= 5/24

f) 8/10 + 5/6

We find the Lowest common denominator (6, 10) = 30

Hence: (8 x 3) + (5 x 5)

= 24 + 25 / 30

= 49/30

= 1 19/30

g) 9/11 - 2/3

We find the Lowest common denominator (3, 11) = 33

Hence: (9 x 3) - (11 x 2) / 33

= 27 - 22 / 33

= 5/33

To learn more, visit the link below:

https://brainly.com/question/2227210

A cook uses 4 ounces of flour to make
12 cup cakes. How much flour would
he use to make 36 cup cakes?​

Answers

Answer:

12 ounces flour

Step-by-step explanation:

4 ounces 12 cup cakes

8 ounces 24 cup cakes

12 ounces 36 cup cakes

The cost of a mobile phone processor is directly proportional to its speed.

A 2GHz mobile costs £500.

Let x be the speed of a processor in GHz

Let y be the cost in pounds.

Find a formula linking the variables.

Answers

Answer: See explanation

Step-by-step explanation:

We are going to use the formula used in calculating direct proportion which is equal to:

y = kx

where,

x = speed of a processor in GHz

y = the cost in pounds

Therefore, y = kx

500 = 2k

Therefore, y = 2k

hey, can somebody help me please and thank you. :)

Answers

B and d I hope this helps

Please help I’ll mark you as branlst

Answers

Answer:

6

Step-by-step explanation:

Since the degree of the angle is 45, we know that the triangle is isosceles. That means that the sides of the triangle, not including the hypotenuse, has a length of 3√2.

Using the Pythagorean theorem, which is a^2 + b^2 = c^2, we have (3√2)^2 + (3√2)^2 = c^2.

Note: c is the hypotenuse of the triangle.

18 + 18 = c^2

= 36 = c^2

Therefore, c = 6.

If the point (4,-2) Is Included in dun
OA. (4,2)
OB. (-4,-2)
OC. 12,-4)
OD. (-2,4)

Answers

The answer is (4,2) because it just is

On Saturday, Jay went on a trail run. The posted mileage for the trail was 3.8 miles. On Sunday, he ran his usual route
of 4 3/4 miles. How many total miles did Jay run over the weekend?
A 7.5 miles
B 7 3/4 miles
C 8.3 miles
D 8 11/20 miles

Answers

It’s b I took this same assignment last year for school

A copy machine makes 36 copies per minute. How long does it take to make 126 copies?

Answers

Answer:

It will take 3.5 minutes to make 126 copies

Step-by-step explanation:

Answer:

Step-by-step explanation:

We can do 126/36 to get our answer since 126 is the total copies and 36 is the copies we can do in a minute. 126/36 = 3.5 so it will take 3.5 minutes.

Other Questions
John's goal is to have more than -77minus, 7 dollars in his bank account by the end of the month. The variable ddd is the number of dollars in John's bank account at the end of the month What is the probability of spinning an odd number Two pounds of grapes cost $6. How many pounds of grapes cost $1? * For which part of the log cabin didpioneers use the fro?A. the door jamsB. the roofC. the window treatments Simplify the expression 8+4b+3b+6 Helppppppppppp me i need the answer THIS IS THE ANSWER TO THIS QUESTION, I GOT A 95% ON IT, PLEASE REPHRASE BECAUSE ED GENUITY WILL SEARCH THE INTERNET FOR PLAGIARISMA) Identify ONE way that trade in some commodities was organized in the late 1800s and early 1900s that gave an economic advantage to merchants and companies in the United States, as shown in the cartoon.B) Identify ONE similar way trade was organized in the same time period to benefit Europe.C) Explain ONE consequence of this for one of the examples used in (A) or (B).A) One way that trade in some commodities was organized in the late 1800s and early 1900s that gave an economic advantage to merchants and companies in the United States is that the US forcefully made countries nearby and in their control or influence to essentially exclusively trade with the US. The US controlled trade in much of the Western Hemisphere, and used their immense military power to police trade in the region. The phrase, as depicted in the cartoon, speak softly and carry a big stick, means that America should negotiate, but also show that they have a lot of military strength, without actually doing anything, unless absolutely necessary. B) One similar way trade was organized in the same time period to benefit Europe was that European powers used their military strength to pressure other countries into trading with them. This was similar to the big stick policy, but they established colonies and controlled trade through that. European powers also forced Asian countries to establish ports so that they could trade there. The fundamental principles of both the American big stick policy and its European counterpart are the same, as they control trade in the regions they want to trade in with their military strength and influence. C) One consequence of this for one of the examples used in problem A is that American merchants and companies were able to have a lot of economic control in other regions, and their profits increased as they gained more control of trade in the regions they aimed to control. With economic control of a region, also comes a certain degree of political control, so many US companies used their control to influence political decisions in their favor. For example, the United Fruit Company used their economic control over some portions of South America, and inhibited the development of countries in South America like Guatemala. it takes 25 min to cook 10 egg how long does it take to cook 20 simplify [tex]\sqrt[4]{6^4}[/tex] Out of the 3 of these Protons Neutron and electrons witch of these are responsible for a charge that can be transformed from one object to another. I'LL GIVE BRAINLIEST TO WHOEVER ANSWERS THE QUESTION CORRECTLY!!!!Is the following statement true or false?The triangle proportionality theorem only applies to right triangles.A.) FalseB.) True Ann used 5 2/3 gallons of gas on Sunday and 1 1/4 gallons of gas on Monday. How many more gallons of gas did she use on Sunday?Write your answer as a mixed number in simplest form. what is Use the table to solve the inequality 2x Plzzzz plzzz plzzz ps keiskskks What is the answer??? What technology allowed the 95 Theses to spread through Europe so quickly? 43% of businesses in the US require a doctors note when an employee takes sick time. You randomly select nine businesses and ask if it requires a doctors note when an employee takes sick time. Find the probability that the number who say they require a doctors note is at least 5 You go to the mall to make some purchases. You buy 3 dresses which cost $59.99 each and a pair of shoes that cost $75. What is the bill you will pay if the tax is 8%? What is the solution set for the inequality below-3x + 15 < 18 help me ples kskskskskskksks