Find the value of x

Find The Value Of X

Answers

Answer 1

Answer:

[tex]x=14[/tex]

Step-by-step explanation:

The given triangle is a right triangle, meaning it is a triangle with a right angle, this is indicated by the box around one of the angles. When given a right triangle, one can use the right triangle trigonometric ratios. These ratios describe the relationship between an angle in a right triangle, and the sides in a right triangle. Such ratios are as follows,

[tex]sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}[/tex]

Bear in mind that the way one names the sides, in the sense of (opposite or adjacent) will change based on the angle one uses to describe the triangle. However, the hypotenuse is the same no matter the angle, as the hypotenuse is the side opposite the right angle.

In this case, one is given one of the angles, and the side opposite the angle. One is asked to find the hypotenuse of the triangle. One can use the sine (sin) ratio to achieve this.

[tex]sin(\theta)=\frac{opposite}{hypotenuse}[/tex]

Substitute,

[tex]sin(30)=\frac{7}{x}[/tex]

Inverse operations,

[tex]x=\frac{7}{sin(30)}[/tex]

Simplify,

[tex]x=14[/tex]


Related Questions

the slope of the line that passes through the points in the table is:

Answers

Answer:

-2/7

Step-by-step explanation:

We have two points so we can use the slope formula

m = (y2-y1)/(x2-x1)

m = (8-0)/(-14-14)

   = 8/-28

   = -2/7

Can someone help plz

Answers

Answer:

Sr i dont know

Step-by-step explanation:

What is the length of leg s of the triangle below?
45°
90°
45°
10v2

Answers

Answer:

B

Step-by-step explanation:

The 45 45 90 triangle means that the hypotenuse is just one of the two legs multiplied by rad2. This means that leg s is 10.

The length of the leg is 10.

Option B is the correct answer.

What are trigonometric identities?

There are three commonly used trigonometric identities.

Sin x = Perpendicular / Hypotenuse

Cosec = Hypotenuse / Perpendicular

Cos x = Base / Hypotenuse

Sec x = Hypotenuse / Base

Tan x = Perpendicular / Base

Cot x = Base / Perpendicular

We have,

Sin 45 = Opposite face to angle 45/ Hypotenuse

1/√2 = s / 10√2

s = 10√2 / √2

s = 10

Thus,

The length of the leg is 10.

Learn more about trigonometric identities here:

https://brainly.com/question/14746686

#SPJ7

A watch was purchased for Rs. 150 and sold for Rs.300. Find the profit percent.

a.150%
b.50%
c.100%
d.15%

Answers

Answer:

c. 100%

Step-by-step explanation:

profit or loss = (sale price - purchase price)/(purchase price) * 100%

profit or loss = (Rs. 300 - Rs. 150)/(Rs. 150) * 100%

profit or loss = (Rs. 150)/(Rs. 150) * 100%

profit or loss = 1 * 100% = 100%

Since the result is positive it is a profit.

Answer: The profit was 100%.

The expression 2 - x-1/x+2
is equivalent to

A. 1 - 3/x+2
B. 1 + 3/x+2
C. 1 - 1/x+2
D. 1 + 1/x+2

Answers

The answer is b I think

The expression [tex]2- \dfrac{x-1}{x+2}[/tex]  is equivalent to [tex]1 + \dfrac{3}{x+2}[/tex].

We have to find, which equation is equivalent to the given expression.

The given expression is,

[tex]= 2- \dfrac{x-1}{x+2}[/tex]

To determine the equivalent expression following all the steps given below.

Step1; Taking LCM in the equation,

                   [tex]\rm = 2-\dfrac{x-1}{x+2}\\\\= \dfrac{2(x+2) - (x-1)}{x+2}\\\\= \dfrac{2x+4-x+1}{x+2}\\\\[/tex]

Step2; Solving the equation,

                    [tex]= \dfrac{2x+4-x+1}{x+2}\\\\= \dfrac{x+5}{x+2}\\\\[/tex]

Step3; rewrite the equation in the small factors,

                    [tex]=\dfrac{x+5}{x+2}\\\\= \dfrac{x+ 2+3}{x+2}\\\\[/tex]

Step4; By using partial fraction rewrite the equation,

                    [tex]= \dfrac{x+2}{x+2} + \dfrac{3}{x+2}\\\\= 1 + \dfrac{3}{x+2}[/tex]

Hence, The expression [tex]2- \dfrac{x-1}{x+2}[/tex]  is equivalent to [tex]1 + \dfrac{3}{x+2}[/tex].

For more details refer to the link given below.

https://brainly.com/question/2264568

PLEASE HELP ATTACHED BELOW

Answers

Answer:

[tex]Area~of~quarter:-[/tex]

[tex]\frac{\pi r^2}{4}[/tex]

[tex]=\frac{\pi *8*8}{4}[/tex]

[tex]=16\pi[/tex]

--------------------hope it helps...have a great day!!

Patricia y Armando tienen $220 entre los dos. Patricia le da a Armando $30 de tal forma que ambos tendrán la misma cantidad de dinero. ¿CUANTO DINERO TIENE CADA UNO?

Answers

Answer:

Patricia's amount of money = $125

Armando's amount of money = $95

Step-by-step explanation:

Given:

Total amount of money = $220

Patricia have $30 more than Armando

Find:

Amount of money each have.

Computation:

Assume;

Patricia's amount of money = a

So,

Armando's amount of money = a - 30

So,

a + a - 30 = 220

2a - 30 = 220

2a = 250

a = 125

Patricia's amount of money = $125

Armando's amount of money = 125 - 30

Armando's amount of money = $95

please help 30 points and if I get correct answer i will brainiest them

Answers

Answer:

9,-4

Step-by-step explanation:

-9×4=-36

Negative × Positive = Negative

In a flight of 600km,an aircraft was alowed down due to bad weather. Its average speed for the trip reduced to 200km/hr and the time increased by 30 minutes. Find the duration of the flight.

Answers

Answer:

The duration of the flight is 1 hour

Step-by-step explanation:

Since average speed = distance traveled / time

Let the duration of the flight be in z hours

So, (600km/z hours) - (600km/ z hours + (1/2)) = 200km/hr

Note: 1/2 is used as a result of 30 minutes increased in time which is half an hour.

200 = (600/z ) - (600/z + (1/2))

Multiply 2 through on (600/z + (1/2))

200 = (600/z ) - (1200 / (2z + 1))

Divide through by 200

= z(2z + 1) = 3

convert to quadratic equation

2z² + z = 3

2z² + z - 3 = 0

(2z + 3) ( z-1) = 0

z-1 = 0

z = 1 hour

Which expression entered into a graphing calculator will return the probability
that at most 10 heads come up when flipping a coin 25 times?
A. binomcdf(25, 10,0.5)
B. binomcdf(10, 0.5, 25)
C. binomcdf(25, 0.5, 10)
D. binomcdf(10,25, 0.5)
SUBMIT

Answers

The answer is D (10,25,0.5)

In a city, the distance between the library and the police station is 3 miles less than twice the distance between the police station and the fire station. The distance between the library and the police station is 5 miles. How far apart are the police station and the fire station?

Answers

Answer:

4 miles apart. the answer this question.

an article which cost money 150 was sold at a loss of 5%.what was the selling price?

Answers

Answer:

142.5

Step-by-step explanation:

150/x=100/95

95*150/100=

142.5

Ive friends each knit one part of a scarf that is 1 5 12 yards long. Which shows the fractions of the scarf each friend could have knit? A. 1 12 + 2 12 + 3 12 + 8 12 + 4 12 B. 1 12 + 6 12 + 3 12 + 2 12 + 4 12 C. 2 12 + 3 12 + 3 12 + 2 12 + 5 12 D. 5 12 + 1 12 + 4 12 + 2 12 + 5 12

Answers

Answer:

D. 5 /12 + 1 /12 + 4/ 12 + 2 /12 + 5 /12

Step-by-step explanation:

Ive friends each knit one part of a scarf that is 1 5/ 12 yards long.

Hencfy, the fractions of the scarf each friend could have knit is calculated by comparing the options

A. 1 /12 + 2 /12 + 3 /12 + 8 /12 + 4 /12

Lowest Common Denominator = 12

Hence = 18/12 = 1 6/12 = 1 1/2

Option A is wrong

B. 1 /12 + 6/ 12 + 3 /12 + 2 /12 + 4 /12

Lowest Common Denominator = 12

Hence = 16/12 = 1 4/12 = 1 1/3

Option B is wrong

C. 2/12 + 3/ 12 + 3/ 12 + 2/ 12 + 5/ 12

Lowest Common Denominator = 12

Hence = 15/12 = 1 3/12 = 1 1/4

Option C is wrong

D. 5 /12 + 1 /12 + 4/ 12 + 2 /12 + 5 /12

Lowest Common Denominator = 12

Hence = 17/12 = 1 5/12

Option D is correct

Therefore, the fractions of the scarf each friend could have knit is Option D

can someone help me please with solution

Answers

could you upload another picture?

pls help me ill give brainliest and no links pls ty!:)

Answers

Given : GH bisects ∠FGI

It means : ∠FGH and ∠HGI are equal

Given :

∠FGH = (5x - 8)°

∠HGI = (6x - 15)°

⇒  5x - 8 = 6x - 15

⇒  6x - 5x = 15 - 8

⇒  x = 7°

Substituting the value of x, We get :

∠FGH = 5(7) - 8 = (35 - 8) = 27°

∠HGI = 6(7) - 15 = (42 - 15) = 27°

∠FGI = ∠FGH + ∠HGI = (27 + 27) = 54°

1. Divide.
b) (6x² + x - 12) + (2x + 3)​

Answers

Answer:

Step-by-step explanation:

Dividing :  6x2-x+12  

                             ("Dividend")

By         :    2x-3    ("Divisor")

dividend     6x2  -  x  +  12  

- divisor  * 3x1     6x2  -  9x      

remainder         8x  +  12  

- divisor  * 4x0         8x  -  12  

remainder             24  

Quotient :  3x+4  

Remainder :  24

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

Step-by-step explanation:

[tex]1)Divide \ (6x^2 + x -12) \ by \ (2x + 3)[/tex]

     [tex]6x^2 + x -12 = 6x^2 + 9x - 8x -12[/tex]

                        [tex]=3x(2x + 3)-4(2x + 3)\\\\=(3x -4)(2x + 3)[/tex]

 [tex]\frac{6x^2 + x -12}{2x + 3} = \frac{(3x -4)(2x+3)}{(2x+3)} = (3x -4)[/tex]

6. Suppose Daniel decides to cheat and makes up 6 numbers. He writes down
2, 4, 12, 18, 19, and 25. In order for the rest of his project to correctly
match this data, what would he have to change and how? What parts could
stay the same? Explain your reasoning.
Change:
Same:

PLEASE SOMEONE HELP IM IN NEED

Answers

Answer:

he would have to change 19 and 25 because they dont match the rest of the numbers because they are odd numbers.

How do I do this trigonometry problem? or where do I even start.

Answers

Answer:

∅=6

Step-by-step explanation:

let ∅=x

[tex]\csc(3x+15)=\frac{1}{\sin(3x+15)}\\\sin(5x+3)*(\frac{1}{\sin(3x+15)})\\\frac{\sin(5x+3)}{\sin(3x+15)}=1\\\sin(5x+3)=\sin(3x+15)\\5x+3=3x+15\\2x=12\\x=6[/tex]

Question in the picture ^

Answers

Step-by-step explanation:

try use ruler for AB , AC , & BC ,

then find the area of

Please help !!!!!!!!

Answers

Answer:

C = (4,4)

It is (4,4) because it means that it is twice as large as the original coordinates.


A delivery company has 2 shipping options. One option is to pay a flat fee of $16 for a single package regardless of weight. The other option is to
pay a fee of $4.50 plus $1.70 per pound for a single package.
Which system of equations can be used to determine the weight, w, of the package, in pounds, where the cost, c, will be the same for both
shipping options?

Answers

Step-by-step explanation:

the equation is

c =>

4.50 + 1.70 w = 16

WILL GIVE BRAINLIST


WRITE THE PHRASE AS A VARIABLE EXPRESSION. USE X TO REPRESENT “a number”



THE PRODUCT OF 4 AND A NUMBER

Answers

Answer:

x+14.  

Sum of a number and 14 is x+14.

 

*URGENT*
PLEASE HELP ILL GIVE BRAINLIEST !!!!!!

Answers

just multiply the given x values by the function rule, that’s how you get ur y

Please helpppppp 7th grade mathhh

Answers

Answer:

10 quarts

thank you

i think

Answer: 20 quarts

Step by step explanation: Solve for x
2 gallons/ 8 quarts = 5 gallons/ x quarts
2x=40
x=20

Tracy's team won 75% of their games last year. They played 12 games. How many games did they win?

Answers

Answer:

9 games.

Step-by-step explanation:

You need to find 75% of 12. 75% is equal to three fourths. 12 divided by 4 is 3, so one fourth of 12 is 3. 3 times 3 is 9, so three fourths (75%) of 12 is 9.

6. Jenny needs to build a box that has a square base and a volume of 900 cm°. The height of the box is related to the length of one side of the base by the function h(s) = 900
a. What value of y satisfies the equation y=h(10). What does this tell you about the box?​

Answers

Answer:

Step-by-step explanation:

Its 43567 bc I searched it up

Consider the following statement. If r is any rational number and s is any irrational number, then r s is irrational. (a) Which of the following is a negation for the statement? If r is any rational number and s is any irrational number, then r s is rational. If r is any irrational number and s is any rational number, then r s is irrational. There is a rational number r and an irrational number s such that r s is irrational. There is a rational number r and an irrational number s such that r s is rational. (b) What are some values of r and s for which the given statement is false (that is, for which its

Answers

Answer:

(a) If r is any rational number and s is any irrational number, then r/s is rational

(b) The statement is false when r is 0

Step-by-step explanation:

Given

[tex]r \to[/tex] rational number

[tex]s \to[/tex] irrational number

[tex]\frac{r}{s} \to[/tex] irrational number

Solving (a): The negation

To get the negation of a statement, we only need to negate the end result

In other words, the number type of r and s will remain the same, but r/s will be negated.

So, the negation is:

[tex]r \to[/tex] rational number

[tex]s \to[/tex] irrational number

[tex]\frac{r}{s} \to[/tex] rational number

Solving (b): When r/s is irrational is false

Given that:

[tex]\frac{r}{s} \to[/tex] irrational number

Set r to 0

So:

[tex]\frac{r}{s} = \frac{0}{s}[/tex]

[tex]\frac{r}{s} = 0[/tex] -- rational

Hence, the statement is false when r is 0

How many solutions are there to the system of equations graphed below if the lines are parallel?

Answers

Answer:

zero, or 0, or none. answer is A

Step-by-step explanation:

they never touch, just pick A

Answer:

0, the answer is a

Step-by-step explanation:

A ... has one triangular base and three triangular lateral faces.

Rectangular Prism
Square Pyramid
Triangular Pyramid
Triangular Prism

Answer quick Please!

Answers

Hope this help!!!

Have a nice day!!!

Answer:

that gy is rong dount do it

Step-by-step explanation:

Help asap please 50 points

Answers

Answer:

The area of rectangle is 8 x ² y ².

Step-by-step explanation:

Given that :- Measure of side A of rectangle is 2 xySide B measure twice the length of side A = 2 × ( 2xy ) = 4 xy

To Find :-

➛ Area of rectangle

Formula Used :-

➛ Area of rectangle = Length × Breadth

Solution :-

Firstly we need to find Breadth of rectangle

Using Formula

Area of rectangle = Length × Breadth

Where

Length of rectangle = 2xy

Breadth of rectangle = 2 × 2xy = 4 xy

Substituting the values into the Formula

Area of rectangle = 2 xy × 4 xy

multiply, we get

Area of rectangle = 8 x² y²

Therefore, Area of rectangle is 8 x ² y ².

Other Questions
Acri invested $500 for 3 years at the rate of 2.8% per year compound interest. Calculate the final amount he has after 3 years Find the interest rate if 6400 has a final value of 8334 in 3 years. Give your answer to 1 d.p Given that ABCD is a rhombus, what is the value of x? Sara has 5 blue bows and 7 white bows in a bag for her fellow cheerleaders to wear in their hair for each game. The bows arepulled out randomly by the team. Determine if the following is anIndependent or a Dependent event. Then find the probability.1.) Sara pulls out a blue bow and her teammate pulls out a white bow. Which expression represents the total perimeter of her sandwich, and if x = 1.2, what is the approximate length of the crust? 1. What are "microorganisms that cause disease?"pathogensa. noncommunicable b. diseasesc. communicable diseasesd. malaria Under absorption costing , a company had the following per unit costs when 10,000 units were produced Direct labor Direct materials Variable overhead Total variable cost Fixed overhead ( / Total product cost per unit $ 2.80 3.80 4.80 11.40 6.00 $ 17.40 Required : 1. Compute the company's total product cost per unit under absorption costing if 12,500 units had been produced 2. Fill in the blank with increase or decrease Why do historians today have to be careful about the terms in the past? Find the measure of the largest angle. Angle Company started business on January 1. During the year, the company purchased merchandise with an invoice price of $500,000. Angle also paid $20,000 freight on the merchandise. During the year, Angle also returned $80,000 of the merchandise to its suppliers. All purchases were paid for in a timely manner, and a $10,000 cash discount was taken. $418,000 of the merchandise was sold for $627,000. What is the December 31 balance in the Inventory account 7.Read the sentence and answer the question.Neither light nor moisture is good for food preservation so most food products are packaged immediately after they are processed.Which correctly shows where a comma is needed in the sentence?A. Neither light nor moisture, is good for food preservation so most food products are packaged immediately after they are processed.B. Neither light nor moisture is good for food preservation, so most food products are packaged immediately after they are processed.C. Neither light nor moisture is good, for food preservation so most food products are packaged immediately after they are processed.D. Neither light nor moisture is good for food preservation so most food products are packaged, immediately after they are processed. If Democrats were more united, how might the election have turned out? can someone pls help for brainlest Which rock type is most likely to compsoed of just one mineral?rock saltconglomeratebasaltrhyolite (a) A color printer prints 23 pages in 7 minutes. How many minutes does it take per page? minutes per page How to solve this? I have no clue and also teach me on how to solve this! Thank you!!! Required information Skip to question [The following information applies to the questions displayed below.] Hudson Co. reports the contribution margin income statement for 2019. HUDSON CO. Contribution Margin Income Statement For Year Ended December 31, 2019 Sales (9,600 units at $225 each) $ 2,160,000 Variable costs (9,600 units at $180 each) 1,728,000 Contribution margin 432,000 Fixed costs 324,000 Pretax income $ 108,000 1. Compute Hudson Co.'s break-even point in units. 2. Compute Hudson Co.'s break-even point in sales dollars. DNA acts as a _____________ for living thingsA. mapB. blueprint Which detail best shapes the idea that the Japanese art of boat building may be lost to future generations?excerpt from School of Hard Knotsby Alex Hanson The typical apprenticeship with a Japanese traditional boatbuilder lasts six years, during which an apprentice can expect to spend a lot of time sweeping the shop floor and sharpening tools while watching the master ply his trade. Work is conducted in silence, questions are answered elliptically, if at all, and, by the end, the master will have withheld key pieces of knowledge that the apprentice is expected to acquire through guile or outright theft. Even in Japan, where traditional crafts are revered, this system is too grueling, too much at odds with modern life, to survive. It is no wonder, then, that as a generation of Japanese boatwrights has retired, their knowledge has retired with them. Vermont boatbuilder Douglas Brooks is trying to ensure that the centuries-old designs for fishing boats and water taxis don't follow these craftsmen to the grave. For more than two decades, Brooks has researched traditional boatmaking in Japan, and has done short, nontraditional apprenticeships to record boat designs. Ordinarily, no Westerner would have a hope of learning in a few weeks what usually takes years of patient observation to acquire.This article was first published in May/June 2013 issue of Humanities, which is published by the National Endowment for the Humanities. QUESTIONS :1.Many of the flavours and smells of fruits are esters. A learner prepared an ester with a smeIlke banana in the school laboratory using pentanol and ethanoic acid. She set up theapparatus as shown in the diagram below.PAPER TOWEL DIPPED-WATER BATHIN COLD WATERPEITANOL ETHANOICACID+ 4 DROPS OFSULPHURIC ACID1.1 Which property of sulphuric acid makes it suitable to use as a catalyst for thepreparation of esters?1.2 Why do we heat the test tube in a water bath and not directly over a flame?1.3 With reference to the characteristic smells of esters, name TWO examples whereesters are used in different industries.1.4 State ONE function of the wet paper towel in the opening of the test tube.1.5 Write down the IUPAC name of an ester fomed.