Determine the value of x. images attached.

Determine The Value Of X. Images Attached.

Answers

Answer 1

Answer:

The answer is option A

Step-by-step explanation:

Since it's a right angled triangle we can use trigonometric ratios to find the value of x

To find the value of x we can use either sine or cosine

Using sine we have

[tex] \sin(30) = \frac{5}{x} \\ x \sin(30) = 5 \\ x = \frac{5}{ \sin(30) } \\ x = \frac{5}{0.5} \\ \\ \\ \boxed{x = 10}[/tex]

Using cosine we have

[tex] \cos(60) = \frac{5}{x} \\ x \cos(60) = 5 \\ x = \frac{5}{ \cos(60) } \\ x = \frac{5}{0.5} \\ \\ \\ \boxed{x = 10}[/tex]

Hope this helps you


Related Questions

For homework, Olivia had to complete 15 problems. She completed 6. What is the ratio of problems she still has to complete to the number of completed problems

Answers

Answer:

3:5

hope this helped :)

3x−8≤23 AND −4x+26≥63,

Answers

How you want this solved?
I wrote the answer out for you.

Katie wants to buy a bracelet. She only has $30 to spend. She has found a bracelet with a regular price of $45 and a discount of 35%. If the sales tax is 7%, will she have enough to buy the bracelet? If so, how much money will Katie have left? If not, how much more money will she need?

Answers

Given :

Money Katie has, M = $30.

She has found a bracelet with a regular price of $45 and a discount of 35%.

The sales tax is 7%.

To Find :

Will she have enough to buy the bracelet.

Solution :

Original price = $45 .

Price after discount = $( 45 - 45×0.35) = $29.25 .

Selling Price = $( 29.25 + 29.25×0.07 ) = $31.2975 .

Since, selling price is greater than $30.

Money needed = $( 31.2975 - 30 ) = $1.2975 .

Therefore, Katie will not buy the bracelet.

Simplify five to the power of -4 over five to the power of three plzzzz answer

Answers

Answer:

5^-4= 0.0016

5^3= 125

Step-by-step explanation:

HELP WIL GIVE BRAINLEIST

Answers

Answer:

Sorry and where is your questions..

what is the simplest form of 8y-4x=-56 ?​

Answers

About the only thing you can do with it is divide both sides by 4.

Then you have

2y - x = -14

Given three collinear points A, B and C. How many line segments do

they determine? Name them.

Answers

Answer:

Three segments: AB, BC, AC

Step-by-step explanation:

Remember to put the line on top since they’re segments.

Hope this helps!

y=x-2


HELP MY RSM IS TOMORROW

Graph the lines given by the equation

Answers

Answer:

make a line going through points (2,0) and (0,-2) I put a picture.

Step-by-step explanation:

Which is the better buy, 6 bagels for $3.29 or 8 bagels for $4.15? Justify your answer.

Answers

Answer:

The better deal is  8 bagels for $4.15

Step-by-step explanation:

6 bagels for $3.29

3.29/ 6 = $.54833333 per bagel

8 bagels for $4.15

4.15/ 8 =$.51875 per bagel

The better deal is  8 bagels for $4.15

Answer:

buy 8 bagles

Step-by-step explanation:

because you can get more for less like if their were selling toy cars 4 for 2 and at the truth store it was 10 for 1 wich would you rather choose

Plz help me I’ll give brainliest

Answers

Answer:

it is A i could be wrong

Step-by-step explanation:

Box of 36 rubber bands he used 1/4 of the rubber bands in the box how many rubber bands did use



Pleas help

Answers

Answer:

He used 9 rubberbands.

pls give me brainliest if correct.

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

36 divided by 1 over 4 equals 9

9+9+9+9=36

1+1+1+1=36

-----------

4  4  4  4

PLEASE ANSWER WILL GIVE BRAINLIEST

You are considering a $3,500 investment. The table shows the possible outcomes in cash flow next year. What is the expected rate of return on this asset?
(see attachment)

Answers

Answer:

The expected rate of return is $442.5

Step-by-step explanation:

The expected rate of return is given by the following formula;

[tex]E[R] = \displaystyle\sum_{i=1}^n R_i \times P_i[/tex]

Where;

E[R] = The expected return

[tex]R_i[/tex] = The return received in the instance i

[tex]P_i[/tex] = The probability for obtaining the return, [tex]R_i[/tex], in the instance i

n = The number of instances for the calculation

Therefore, we have;

The expected rate of return E[R] = 0.3 × 200 + 0.5×415 + 0.2 × 875 = $442.5

Answer the answer is D 12.6%

Step-by-step explanation:

2q − q = 18 what does q=

Answers

Answer:

18

Step-by-step explanation:

Because -1 q would make it a positive 1q (q) so q=18

Anup bought 50 glasses
for Rs 1800
out of which 4 were broken. If
he sold the rest of the
glasses for Rs. 35 each. How much
profit or loss percentage did
he bear?​

Answers

Step-by-step explanation:

50 glasses for Rs 1800

4 broken

sold each for Rs.35 each

50-4=46

35*46=1610

Q5. A car is bought for £5000 and sold for £7500.
What is the percentage profit?

Answers

Answer:

50% profit

Step-by-step explanation:

Cost price = £ 5000

Selling price = £ 7500

Profit  = Selling price - cost price

        = 7500 - 5000

       = £ 2500

Profit percentage = [tex]\frac{2500}{5000}*100[/tex]

                             = 50 %

What's the solution: 7x = 5x - 25 + 30

Answers

Answer:

[tex]x= \frac{5}{2}[/tex]

Step-by-step explanation:

1) First, Simplify 5x-25+30 to 5x+5.

7x = 5x + 5

2) You then Subtract 5x from both sides.

7x − 5x = 5

3) Simplify 7x-5x to 2x.

2x = 5

4) Lastly,  Divide both sides by 2.

[tex]x=\frac{5}{2}[/tex]

Decimal Form: 2.5

Answer:

X= 5/2

Step-by-step explanation:

7x=5x-25+30

_5x -5x

2x=-25+30

2x=5

/2. /2

x=5/2

I am really behind and I REALLY need help... I am giving every point I have for this...

Answers

Answer:

Get ahead then

Step-by-step explanation:

Step-by-step explanation:

Shorts cost $16

T-shirts cost $10

So:

16x + 10y ≤ 100

or

y ≤ -1.6x + 10

Then graph y = -1.6x + 10 and x = 2

Part b:

Using the graph, we can infer that there are two possible solutions:

A. 3 pairs of shorts and 4 t-shirts

B. 4 pairs of shorts and 2 t-shirts

6a. X =  number of apples, Y = number of oranges

So:

x + y ≤ 20

0.24x + 0.8y ≤ 12

x ≤ 20 - y

0.24(20 - y) + 0.8 ≤ 12

= 4.8 - 0.24y + 0.8y ≤ 12

= 0.56y ≤ 7.2

y = 12.9 (You can use twelve because there can't be a fraction of an orange.)

x = 7.14 (again, because of fractions, round to 7.)

Therefore, she got 12 oranges and 7 apples.

Part 2:

Question 1:

Both equations are unbounded.

Question 2:

Both equations are unbounded.

Question 3:

Both equations are unbounded.

Question 4:

Both equations are unbounded.

Give me a moment to add question four's graph.

Find the surface area of the cube shown below

Answers

Answer:

the answer is 37.5cm^2

Evaluate the following and express the answer in scientific notation.

2.44 × 10^ −10 ÷ 4 × 10^ −6

Answers

Answer: 6.1e-17

Step-by-step explanation:

the evaluated expression in scientific notation is 6.1 × 10⁻⁵.

To evaluate and express the answer in scientific notation, we can simplify the expression and adjust the decimal point and exponent accordingly.

2.44 × 10⁻¹⁰ ÷ 4 × 10⁻⁶

First, divide 2.44 by 4, which gives us 0.61.

Next, subtract the exponents by applying the division rule for exponents:

10⁻¹⁰ ÷ 10⁻⁶ = 10⁽⁻¹⁰⁻⁽⁻⁶⁾⁾ = 10⁽⁻¹⁰⁺⁶⁾ = 10⁻⁴

Therefore, the simplified expression is 0.61 × 10⁻⁴.

To express the answer in scientific notation, we can move the decimal point one place to the right, resulting in 6.1 × 10⁻⁵.

Hence, the evaluated expression in scientific notation is 6.1 × 10⁻⁵.

Learn more about scientific notation here

https://brainly.com/question/24129248

#SPJ2

PLS HELP ILL MARK YOU BRAINEST THIS IS DUE IN 30 minssss

Answers

(C) Infinitely many solutions

This is how it is solved :

13(y+3)=13y+39

Step 1: Simplify both sides of the equation.

13(y+3)=13y+39

(13)(y)+(13)(3)=13y+39(Distribute)

13y+39=13y+39

Step 2: Subtract 13y from both sides.

13y+39−13y=13y+39−13y

39=39

Step 3: Subtract 39 from both sides.

39−39=39−39

0 = 0

Hence we say that 13(y+3)=13y+39 will have infinitely many solutions .

Help me please, very important!!! (PLEASE)

Read the question carefully!

Answers

i checked and it should be all of these applied ^^
a,b,c,d

Write the equation of the line that passes through the given points.
(0,4) and (5,10)

Answers

Answer:

y = [tex]\frac{6}{5}[/tex]x + 4

Step-by-step explanation:

Use the slope formula and slope-intercept form y=mx+b to find the equation.

Simplify 3n+7-n-3



Thank you!

Answers

combine all like terms!

that would be 3n-n and 7-3, which would leave you with 2n and 4

simplified, it would be 2n+4 :)



Mr. Bartol bought 20 pizzas for a 6th grade party. The total cost was
260.
w much does 1 pizza cost?

Answers

Answer:13

Step-by-step explanation:

Write the ratio 12 dollars for 3 tickets as a unit rate

Answers

Answer:

12:3

Step-by-step explanation:

The unit rate would be 12:3

A gymnastics school offered a special for enrollment where a new student could enroll for half the price after paying a $17.50 application fee. Twelve new students enrolled, and the school collected $750. Which equation can be used to find p, the regular price of enrollment?

Answers

Answer:

12 (p/2 + 17.50) = 750 equation can be used to get regular price of enrollment.

Step-by-step explanation:

So when a new student gets enrolled by paying a $17.50 application fee and gets a value of price halved at p/2

where p = regular price of enrollment

So in reality, for the student to be enrolled he/she must pay = (p/2) + $17.50 application fee to be able to get that special offer.

So Twelve new students enrolled, meaning they paid: 12 (p/2 + 17.50 application fee)

The amount they all paid is $750.

To get the regular price of enrollment from the price that included the application fees, the equation to use would be: 12 (p/2 + 17.50) = 750

The correct answer is 12 ([tex]\frac{p}{2}[/tex] + 17.50) =750

Explanation:

In mathematics, an equation represents equality; this means mathematical expressions are placed to the sides of the equality sign and these have the same value. Moreover, if an equation is written based on a situation or description, the values should include the appropriate mathematical symbols (+, -, x, etc) depending on how each of the factors in the equation relates.

In the case presented, it is known the total collected was $750 and due to this, this value should be placed to one side of the symbol =. Moreover, this value was obtained as students paid 17.50 of the application fee plus half of the price. This can be written as [tex]\frac{p}{2}[/tex] (a half price or price divided 2) + 17.50 (application fee). Finally, these two values should be multiplied by 12 (number of students that paid). According to this, the equation is 12 ([tex]\frac{p}{2}[/tex] + 17.50) =750.

Line segment AB is shown on a coordinate grid: A coordinate grid is shown from positive 6 to negative 6 on the x-axis and from positive 6 to negative 6 on the y-axis. A line segment AB is shown with A as ordered pair 1, 3 and B as ordered pair 5, 3. The line segment is rotated 270 degrees counterclockwise about the origin to form A′B′. Which statement describes A′B′? (5 points) A′B′ is parallel to AB. A′B′ is half the length of AB. A′B′ and AB are equal in length. A′B′ is greater than twice the length of AB.

Answers

Answer:

A′B′ and AB are equal in length.

Step-by-step explanation:

Given that the location of the points are at A(1, 3) and B(5, 3).

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, translation and dilation.

Rigid transformation are transformation that preserves the shape and size when performed. Types of rigid transformation are reflection, rotation, translation.

Hence if AB is rotated 270 degrees counterclockwise about the origin to form A′B′, both A′B′ and AB are equal in length because rotation is a rigid transformation.

If A(x,y) is rotated 270 degrees counterclockwise about the origin, it becomes A'(y,-x).

Hence if AB is rotated 270 degrees counterclockwise about the origin to form A'(3, -1), B'(3, -5)

[tex]AB=\sqrt{(5-1)^2+(3-3)^2} =4\\\\A'B'=\sqrt{(3-3)^2+(-5-(-1))^2}=4,[/tex]

Work out the volume of this sphere. Radius is 4cm
Give your answer rounded to 1 DP.

Answers

Answer:

268.08257

Step-by-step explanation:

v=4/3πr^3=4/3•π•4/3=268.08257

Can someone please help me asap??? I’ll mark brainlist !!!!

Answers

Answer:

b

Step-by-step explanation:

Answer:

b or a

Step-by-step explanation:

4. 4 movie tickets cost $56.00. At this rate, what is the cost
per ticket?

Answers

Answer:$14

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

14 x 4= 56

Other Questions
In chemistry, one often uses a unit of charge known as the Faraday, F, which has the magnitude of the charge of 1 mole of electrons. How many faradays of charge does that correspond to Raul works in Human Resources and is interviewing four people for the position of Budget Analyst. Which candidatehas the best education for this particular career?Candidate A bachelor's degree in Finance and master's degree inMathematicsCandidate Bbachelor's degree in Mathematics and associate's degree inMarketingCandidate Cassociate's degree in Computer Programming and HS diplomaCandidate Dbachelor's degree in Economics and master's degree inManagement?O Candidate AO Candidate BO Candidate CO Candidate D Compare the architectural achievements of the Renaissance with the Greek and Roman architecture On a number line, a number, b, is located the same distance from 0 as another number, a, but in the opposite direction. The number b varies directly with the number a. For example b = 2a equals negative 2 and StartFraction 3 Over 4 EndFraction. when a = 2a equals negative 2 and StartFraction 3 Over 4 EndFraction.. Which equation represents this direct variation between a and b? A dock is constructed using a regular polygon with 60 sides. The polygon rotates each minute, making one full revolution each hour. How much has the polygon rotated after 7 minutes? O 14 O 21 O 35 O 42 what is the translation of the expression 5 more than twice x Why were the French and the Native Americans able to cooperate and have such a diplomatic (friendly) relationship? The formula for finding area of a triangle is: A=( 1/2)bh Solve the equation for height, h. SOMEBODY PLS HELP ASAP The sum of three numbers is 36. The first number is two times the second number, and the second number isfour less than the third number. What are the numbers?o (8, 12, 16)12 Whats the answer to this the domain of the function URGENT!!!!!!!!!!!!! how do you write 41/20 as a percentage? Wich type of speech is given the strongest protection under the constitution A politicalB:religious C buisness D academic Joni Splish Brothers Inc. has the following amounts reported in its general ledger at the end of the current year. Organization costs $23,800 Trademarks 15,700 Discount on bonds payable 36,800 Deposits with advertising agency for ads to promote goodwill of company 11,800 Excess of cost over fair value of net identifiable assets of acquired subsidiary 76,800 Cost of equipment acquired for research and development projects; the equipment has an alternative future use 86,800 Costs of developing a secret formula for a product that is expected to be marketed for at least 20 years 82,600Required:On the basis of this information, compute the total amount to be reported by Hyde for intangible assets on its balance sheet at year-end. When rounding to the nearest tenth, which of the numbers below will round to 78.5? Select all thatapply.A) 78.405B) 79.4C) 78.48D) 78.51E) 78.54 Tom Scott is the owner, president, and primary salesperson for Scott Manufacturing. Because of this, the company's profits are driven by the amount of work Tom does. If he works 40 hours each week, the company's EBIT will be $615,000 per year; if he works a 50 hour week, the company's EBIT will be $755,000 per year. The company is currently worth $3.85 million. The company needs a cash infusion of $1.95 million, and it can issue equity or issue debt with an interest rate of 7 percent. Assume there are no corporate taxes. What are the cash flows to Tom under each scenario? Simplify.82003162 PLEASE HELP!!! ILL GIVE BRANLIEST *EXTRA POINTS* dont skip :(( BRAINLIST and POINTS help Un automvil y un camin de envos comienzan desde un punto detenido y aceleran con la misma tasa. Sin embargo, el automvil acelera durante dos veces la cantidad de tiempo que el camin. Cul es la distancia que recorri el automvil en comparacin con el camin? * Ratios and RatesExpress each ratio as a fraction in the simplest form1) 30 miles out of 30 miles2) B blue cars out of 12 cars3) 7 quarts to 84 quarto4) 25 cups to 35 cups5) 9 gallons to 36 gallons6) 54 bootles out of 60 insects7) 10 pennlos to 45 penniesB) 28 dimes to 48 dimosExpress each phrase as a rate and unit rate(Round your answer to the nearest hundredth)RateUnit Rate9) 130 miles on 4 gallons of gas10) 9 inches of snow in 7 hours11) 6 calculators cost $150.0012) 8 pencils for 16 dollars13) 10 chocolate bars cost 17 dollars14) 7 dollars for 3 cans of tuna15) 9 batteries cost 13 dollars16) 14 dollars for 8 booksMath-Ads.com