In ΔWXY, w = 470 inches, mm∠W=55° and mm∠X=42°. Find the length of y, to the nearest 10th of an inch.

Answers

Answer 1

The length of y using sine rule is 6664.2 inches

What is sine rule?

The sine rule states that if a, b and c are the lengths of the sides of a triangle, and A, B and C are the angles in the triangle; with A opposite a, etc., then a/sinA=b/sinB=c/sinC.

in this case w/sinW = y/sinY

Y = 180-(55+42)

Y = 180-(97)

Y = 83°

Therefore 470/sin55 = y/sin83

470× sin83 = y sin55

= 466.50 = 0.707y

divide both sides by 0.707

y = 466.50/0.707

y = 6664.2 inches

therefore the length of y is 6664.2 inches

learn more about sine rule from

https://brainly.com/question/20839703

#SPJ1


Related Questions

The radius of a circle is 19 kilometers. What is the circle's area?

Answers

Answer

361πkm²

Explanation

• the formula to find the area of a circle is A=πr²

=> A=π(19km)²A=π(19km)² => A=361πkm²I hope it helps!!

The table represents the details of the loan for Carla's new car purchase. What is the value of C?   Cost of car $14,890 Down Payment $2,800 Amount Financed A Monthly Payment $271.02 # Months 60 Amount Repaid B Finance Charge C Total Cost D $19,061.20 $16,261.20 $12,090.00 $4,171.20​

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The amount financed (A) is the cost less the down payment.

The amount repaid (B) is the monthly payment times the number of months.

The finance charge (C) is the difference between the amount repaid and the loan amount.

The total cost (D) is the sum of the cost of the car and the finance charge.

Similar figures review

Answers

The width for the second rectangle which is HIJK will be A. 24 inches.

How to illustrate the relationship?

From the diagram, it should be noted that rectangle ABCD is similar to rectangle HIJK. Therefore it should be noted that the relationship between the width and length is expressed as:

= Width / Length

= 12/16

= 3/4

Therefore, the width for the second rectangle will be:

= 3/4 × 3.2

= 2.4

In conclusion, the correct option is A.

Learn more about proportional relationship on:

brainly.com/question/2143065

#SPJ1

Solve |2x - 5| = 4.

Answers

Answer:

x = - 0.5

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

Step-by-step explanation:

2x + 5 = 4

2x + 5 - 5 = 4 - 5

2x = - 1

2x ÷ 2 = - 1 ÷ 2

x = - 0.5

How can you tell if you have a perfect square trinomial or the DIFFERENCE OF SQUARES?

Answers

The value of a perfect square is either a positive number or zero. They cannot be neutral.

what is perfect square ?

Perfect squares are generated when you square an integer. For instance, the number 81 is a perfect square since it can be derived by squaring 9: 99=81. 144 is a perfect square since 12 is squared to produce it. 169 is a perfect square since 13 may be squared to obtain it. Mathematical language Informally: When an integer (a "whole") number, whether positive, negative, or zero, is multiplied by itself, the outcome is referred to as a square number, a perfect square, or simply "a square." Therefore, all square numbers are 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, and so on.

given

The value of a perfect square is either a positive number or zero. They cannot be neutral.

Square differences can be positive, negative, or zero depending on the order in which the numbers are obtained.

One squared term will be added to the difference of squares, and another squared term will be subtracted.

To know more about perfect square visit :-

brainly.com/question/385286

#SPJ4

Kylie ran 7/10 of a mile and walked 2/5 of a mile. How much farther did Kylie run than walk?

Write your answer as a fraction or as a whole or mixed number.

Answers

The farther distance run by Kylie is 3 /10 miles.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Kylie ran 7/10 of a mile and walked 2/5 of a mile. The distance will be calculated as,

Distance = ( 7/10 )  - ( 2 / 5)

Distance = ( 7 - 4 ) / 10

Distance = 3 / 10 miles

To know more about an expression follow

https://brainly.com/question/29014275

#SPJ1

1/4 + 3/8 (i would love a explanation)

Answers

2/8 + 3/8 = 5/8 least common denominator changes your 1/4 to a 2/8 then just add together.

What if Aya and Sakura could only afford a monthly payment of $1800?


What would be the maximum mortgage amount they could afford to borrow from the bank, if all the other conditions were the same?


What is the total amount that would be paid to the lender over 25 years?

Answers

a)  The maximum mortgage amount they could afford to borrow from the bank, if all the other conditions were the same =  $369,181.93.

b)  The total amount that would be paid to the lender over 25 years = $540000

To find the maximum mortgage amount they could afford to borrow if they could only pay $1800.

Here, future value = 0

number of periods = 25 years

                                = 25 × 12 months per year

                                = 300

payment amount = -1800 dollars

interest rate = 4.25% per year

                    = 0.3542% per month

the maximum mortgage amount they could afford = $369,181.93.

And the total payments would be equal to 300 × 1800 = 540000

Learn more about the mortgage here:

https://brainly.com/question/13580545

#SPJ4

The complete question is:

Aya and Harumi would like to buy a house and their dream house costs $500,000. They have $50,000 saved up for a down payment but would still need to take out a mortgage loan for the remaining $450,000 and they're not sure whether they could afford the monthly loan payments. The bank has offered them an interest rate of 4.25%, compounded monthly.

What if Aya and Harumi could only afford a monthly payment of $2,000?

What would be the maximum mortgage amount they could afford to borrow from the bank if all the other conditions were the same?

What is the total amount that would be paid to the lender over 25 years?

If Jenny earns $375 when she works 5 hours, how much will she earn if she
works 12 hours?

Answers

Answer:

She will earn $900.00 in 12 hours.

Step-by-step explanation:

Her unit rate is 75 dollars per hour.

375/5 = $75

75 x 12 = 900

Answer:  $900

Step-by-step explanation: 375/5x12.

Mrs. Hubble was paid a total of $1,677 to make some custom dresses. She was paid $129. To make each one. The equation 1,677= 129d represents this situation where d equals the number of dresses she made. What is the value of d in the equation?

Answers

The value of d in the equation is 13 and it is equal to the number of dresses made by her.

The total amount paid by Mr. Hubble to make some custom dresses is 1677 dollars.

The price paid to make one dress is 129 dollars.

The equation that represents this situation is given to be 1677 = 129d

Where d is the number of dresses made,

Now, using simple algebra,

1677 = 129d

d = 1677/129

d = 13

So, she has made a total number of dress she made is 13 and the value of d is the equation is also 13.

To know more about algebra, visit,

https://brainly.com/question/4344214

#SPJ4

Which of the following best approximates the line of best fit?
sorry that it's hard to see​

Answers

Answer:

A

Step-by-step explanation:

Remark

The line that has the best fit is one who distance above the line is the same as the distance below the line.

That statement means that if you take each point above the line and measure its (perpendicular) distance to the line and add all the distances of those points above the line together, you should get the same distance for the points below the line.

So why is A the best answer?

It's because the distance of the three points above the line should come close to the distance the 3 points are below the line.

In a game, you pilot a spaceship and gain a point for every asteroid you
destroy. The game ends when your ship is hit by an asteroid. You already
have 94 points. Graph your possible final scores for the game.

Answers

Answer:

y = p+94

Step-by-step explanation:

If you already have 94 points you can't get lower than that.

p represents the amount of points you have, or the amount of asteroids you've destroyed.

What is the area of the triangle?

Answers

Answer:

9 units^2

Step-by-step explanation:

The area of a triangle is 1/2hxb. 1/2(6)(3)=9.

Answer:

9

Formula for area - 1/2 times base times height

base - 3

height - 6

1/2 times 6 times 3

= 9

Which represents “4 more than one half a number”?

Answers

Answer:

i think it is D

Answer:

D

Step-by-step explanation:

It is D because it divides n by 2 and adds on 4 to it.

[tex]\frac{n}{2}+4[/tex]

What is the equation of the function
shown in the graph, given that the
equation of the parent function is
f(x) = (-/-)² ?
(}})

Answers

The equation of the function shown in the graph is f(x) = (-2x)^2.

What is function?

In mathematics a function is a relation between two states that assigned to each element of the first set exactly one element of the second set in order words it is the rule that is describe how unstead of values is related to another set a values function are used to model real voice scenario and to solve mathematical problems example of function include linear equation polynomials and trigonometric function.

This is based on the equation of the parent function, which is f(x) = (-/-)^2. The graph shows that the function has been shifted two units to the left, which is why the coefficient of x is -2 instead of -1.

To know more about function click-
https://brainly.com/question/25638609
#SPJ1

Sam is writing a report on cell phone usage. he collects data from a random sample of eight graders in his school, and finds that 18 out of 20 eight graders have cell phones. if there are 310 eight graders in his school,estimate the number of eighth graders who have cell phones.

Answers

Answer is 279 exact but estimated is 280

James made 7 identical bags using 5 yards of fabric. How much fabric did James use for each bag?

Answers

Answer:

James used 5 yards of fabric to make 7 identical bags, so he used 5/7 yards of fabric per bag.

Step-by-step explanation:

When graphing the function on your graphing calculator, what is the most appropriate viewing window for determining the domain and range of the function

Answers

The most appropriate viewing window for determining the domain and range of a function when graphing it on a graphing calculator would depend on the specific function and what information you are trying to gain from the graph.

DETERMINING THE DOMAIN AND RANGE OF THE FUNCTION

When graphing a function, it is important to set the viewing window correctly so that the full behavior of the function is visible. The domain of a function is the set of all input values for which the function is defined. The range of a function is the set of all output values that the function can produce. To determine the domain and range of a function from its graph, you need to be able to see all of the points where the function is defined, as well as any asymptotes or singularities.

To set the appropriate viewing window, you should start with a wide window that includes the x- and y-values where the function is defined. For example, if the function is defined for all real numbers, you would want to set the x-min and x-max to a large negative and positive number respectively, and y-min and y-max to a large negative and positive number respectively. This will ensure that all of the function's behavior is visible on the graph.

Once you have a general idea of the function's behavior, you can adjust the viewing window as needed.

Also, it is a good idea to check the graph for symmetry or periodicity, which can help to narrow down the domain or range. For example, if the graph is symmetric about the y-axis, you know that the domain includes all real numbers. If the graph is periodic, you know that the domain includes all real numbers and the range is limited.

By adjusting the viewing window and looking for symmetry or periodicity, you should be able to determine the domain and range of the function from its graph.

Learn more about domain and range here:

https://brainly.com/question/28135761

#SPJ4

pleaseeeeeee someone help me asappp i need help so bad.

Answers

The slope of the linear equation that passes through the points (-6, -2) and (3, -2) is 0.

How to find the slope with the two known points?

We can write a linear equation using the sope-intercept form as:

y = m*x + b

Where m is the slope and b is the y-intercept.

For any linear equation, if we know that the line passes through two known points (x₁, y₁) and (x₂, y₂), then the slope is given by:

m = (y₂ - y₁)/(x₂ - x₁).

In this case we know that the line passes through the points (-6, -2) and (3, -2).

Then the slope will be:

m = (-2 + 2)/(3 + 6) = 0

m = 0

The slope is zero, meaning that this is an horizontal line.

Learn more about linear equations by reading:

https://brainly.com/question/1884491

#SPJ1

determine the number of 8x8x16 concrete masonry units needed to construct a foundation wall 104" high with a 120" perimeter. include 10% for waste

Answers

The number of concrete masonry units needed to construct a foundation wall is 102.

What is volume?

The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.

Given, a foundation wall 104" high with a 120" perimeter.

Since, perimeter of square =  4 * side

120 = 4 * side

side  = 30"

Hence area of the foundation wall = side²

area of the foundation wall = 30² = 900

volume of the foundation wall  = area * height

the volume of the foundation wall  = 104 * 900 = 93,600"

The volume of the concrete masonry whose length, width, and depth are 16, 8, and 8 respectively is

Volume of masonry = 8 * 8 * 16

The volume of masonry = 1024

since 10 % of masonry goes to waste.

Thus the effective volume of the masonry  = 1024*0.9 = 921.6

total masonry required = 93600/ 921.6 = 101.56

therefore, To build a foundation wall, 102 concrete masonry units are required.

Learn more about volume:

https://brainly.com/question/1578538

#SPJ1

Solve for m/IGH if m/FGH = 141° and m/FGI = 72°.
F
Answer: m/IGH =
O
G
Submit Answer
H
attempt 1 out of 2/ problem 1 out

Answers

Answer:

Step-by-step explanation:

m∡IGH = ? m∡FGH = 141 degrees and m∡FGI = 72 degrees

therefore, m∡IGH = m∡FGH - m∡FGI = 141 - 72 =  69 degrees

How many minutes will a bus take to cover 5 km travelling at 9 km/h?

Answers

Answer:

the bus will take approximately 33.33 minutes to cover 5km at a speed of 9 km/h.

Step-by-step explanation:

To find out how many minutes it will take for a bus to cover 5km at a speed of 9km/h, we need to use the formula:

time = distance / speed

In this case, the distance is 5 km, and the speed is 9 km/h. To convert the speed to km/min we can divide 9 by 60.

9 km/h = 0.15 km/min (by dividing 9 by 60)

Now we can substitute the distance and speed into the formula:

time = 5 km / 0.15 km/min = 33.33 min

So, the bus will take approximately 33.33 minutes to cover 5km at a speed of 9 km/h.

It's important to note that in this problem km/h is the speed and the distance is given in km, so you need to convert it to km/min in order to find the time. Also the time you get will be in minutes.

What are the 4 types of symbols?

Answers

Answer:

+ - × ÷

Step-by-step explanation:

addition, subtraction, multiplication and division

5c2 - 1 = 124 the 2 is an exponet
need help asap

Answers

c = -5 or c= 5 I believe

25POINTS

Hal says the volume of the sphere shown below is 36 cm3. Find the correct volume, using 3.14 for π. Round to the nearest hundredth. What was Hal’s likely error? Use the drop-down menus to explain your answer.


1st box options: 39.14, 18, 11.46, and 113.04

2nd box options: Greater or less

3rd box options: Multiply by, add, divide by, and subtract

Answers

Answer:

Its volume for a sphere where radius is 3cm

The real volume is 113.04 cubic meter

I
need to show work please help me its due tomorrow

Answers

Answer:

#1

Step-by-step explanation:

boxes   apples

3            6

6           12

9          18

10         20

ratio of apples to boxes is 2:1.   2 apples each box.  Divide the number of apples by 2 to get the number of boxes.  multiply boxes by 2 to get apples.

#2

boxes    cherries

3             12

5           20

6            24

7            28

if you divide cherrie by 4 you get the number of boxes.

Multiply boxes by 4 to get cherries.

Ratio of cherries to boxes is 4 to 1.

Estimate a 15% tip on a dinner bill of $43.17 by first rounding the bill amount to the nearest ten dollars.
Estimated tip: s1
Pls hurry

Answers

Answer:

The tip is 6 dollars

Step-by-step explanation:

Each batch of granola Lena makes uses 3 cups of oats, 1 cup of raisins, and 2 cups of nuts. Lena wants to make 4 batches of granola. How many cups of oats, raisins, and nuts will she need in all?

Answers

Answer:

12 cups oats, 4 cups raisins, 8 cups nuts

Step-by-step explanation:

For this problem, just multiply each ingredient by 4

Answer:

12 cups of oats, 4 cups of raisins, and 8 cups of nuts. Or, all together, she will need 24 cups in total.

Step-by-step explanation:

3 x 4 = 12

1 x 4 = 4

2 x 4 = 8

        = 24

Airport Auto Leasing has a ratio of cars to trucks that is 5 to 3. If each leasing center has 24 trucks, which auto leasing company has more cars? Main Street Auto Leasing has more cars since it has cars while Airport Auto Leasing has cars only

Answers

If the ratio of cars to truck in Main Street Auto Leasing  Company is 9 to 4 and in the airport Auto Leasing Company is 5 to 3 , then the Main Street Auto Leasing Company has more number of cars .

The Ratio of cars to truck in Main Street Auto Leasing Company is = 9:4 ;

the ratio of cars to truck in Airport Auto Leasing Company is = 5:3 ;

the number of trucks in each Leasing Company is = 24 trucks ;

Case (i)  : Main Street Auto Leasing Company  ;

Since the ratio is = 9:4 ,

So , the number of cars is = 9x   and

the number of trucks = 4x ;

That means , [tex]4x = 24[/tex] ;

[tex]x = 6[/tex] ;

the number of cars in Main Street company is = [tex]9 \times 6[/tex] = 54 cars .

Case (ii) : Airport Auto Leasing Company ;

the ratio is = 5:3 ;

So , the number of cars is = 5x   and

the number of trucks = 3x ;

That means , [tex]3x = 24[/tex] ;

[tex]x = 8[/tex] ;

the number of cars in Airport Auto company is = [tex]5 \times 8[/tex] = 40 cars .

Therefore , the Main Street Auto Leasing Company has more  number of Cars .

The given question is incomplete , the complete question is

Main Street Auto Leasing has a ratio of cars to trucks that is 9 to 4. Airport Auto Leasing has a ratio of cars to trucks that is 5 to 3. If each leasing center has 24 trucks, which auto leasing company has more cars ?

Learn more about Ratio here

https://brainly.com/question/23317830

#SPJ4

Write an equation of the line that passes through the given point and is perpendicular to the given line.

(2, 5); x = -6

Answers

well, since the given line is a horizontal line, a perpendicular line to that will just be, yeap, you guessed it, a vertical line, Check the picture below.

Other Questions
What are the chronological events? Cuales son los principales huesos que utilizo cuando escribo? A person loans his friend $500. They agree to an annual interest rate of 5%. Write an expression for computing the amount owed on the loan, in dollars, after 1 years If no payments are made. Which of the following was not an American value in the 1950s?IndividualismStrive to protect communismBelief in equal opportunityRespect for private property How do you find the missing side of an isosceles triangle? What is logically equivalent example? HELP ILL GIVE BRAINLIEST 1. Find the measure of such angle whose supplementary angle is 35 more than twice of its complementary angle. how can you explain that negative thinking is apart of your life what percent composition tell you about a molecule SHORT STORYEssential Terms used in Literary QuotationsRead each reading passage (or prompt), and choose thebest example."In the hard-packed dirt of the midway, after the glaring lights are out and thepeople have gone to bed, you will find a veritable treasure of popcornfragments, frozen custard dribblings, candied apples abandoned by tiredchildren, sugar fluff crystals. salted almonds, popsicles, partially gnawed icecream and wooden sticks of lollipops." --This section of this text from "Charlotte's Web" is an example of...PersonificationImageryMetaphorIrony Match the following. rejected by Saul; wandered in exile: Choose... rejected by Israelites; lived in exile: Choose... rejected by brothers; lived in slavery: Choose... exalted to become leader of his people: Choose... exalted to become king of Israel: Choose... exalted to become second only to Pharaoh: Choose... The discount price of a hat is $18. What is the regular price? Show or explain your work.The discount is 20% off of everything PLEASE HELP NEED ASAP. I BEG PLZZZZZZZ help I have one hour left please Jordan places a hot spoon into a container of ice cream. How does this help him scoop out the ice cream?1 The coolness from the ice cream is conducted to the spoon making it easier to scoop out.2 The warmth of the spoon is conducted to the ice cream making it easier to scoop out.3 The coolness from the ice cream is radiated to the spoon making it easier to scoop out.4 The warmth of the spoon is radiated to the ice cream making it easier to scoop out. Convert to an improper fraction. Type in your answer with the negative in the numerator.-11 1/3 = A property has a net income of $40,000, interest payments of $17,000, and annual cost recovery of $9,000. The property's tax rate is 25%. What is the property's annual tax liability What happens if a cell gets too large for the amount of DNA it has? 5 1/4 divided by 1/4?