A carpenter designs a tabletop in the shape of an ellipse 7 feet long and 4 feet wide. The carpenter sketches a drawing of the tabletop on a coordinate plane. The center of the tabletop is at the origin, the length falls along the x-axis, and the width falls along the y-axis. Which equation represents the tabletop?

Answers

Answer 1

Answer:

C

Step-by-step explanation:

x^2/12.25 + y^2/4 = 1

Answer 2

A carpenter designs a tabletop in the shape of an ellipse 7 feet long and 4 feet wide then, the equation of that ellipse would be [tex]\dfrac{ x^2}{12.25} + \dfrac{ y^2}{4} = 1[/tex]

What is the equation of ellipse if its major and minor axis and center are given?

Suppose that the major axis is of the length 2a units, and that minor axis is of 2b units, and let the ellipse is centered on (h,k) with a major ellipse parallel to x-axis, then the equation of that ellipse would be:

[tex]\dfrac{(x-h)^2}{a^2} + \dfrac{(y-k)^2}{b^2} =1[/tex]

Coordinates of its foci would be: [tex](h \pm c, k)[/tex]  where   [tex]c^2 = a^2 - b^2[/tex]

If its major axis is parallel to y-axis, then,

Coordinates of its foci would be: [tex](h , k\pm c)[/tex] where [tex]c^2 = a^2 - b^2[/tex]and its equation would be:

[tex]\dfrac{(x-h)^2}{b^2} + \dfrac{(y-k)^2}{a^2} =1[/tex]

A carpenter designs a tabletop in the shape of an ellipse 7 feet long and 4 feet wide.

The carpenter sketches a drawing of the tabletop on a coordinate plane.

The center of the tabletop is at the origin, the length falls along the x-axis, and the width falls along the y-axis.

then, the equation of that ellipse would be:

[tex]\dfrac{ x^2}{12.25} + \dfrac{ y^2}{4} = 1[/tex]

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Related Questions

A rectangular football field is 6x meters long and 3x meters wide. If its
perimeter is 360 meters, then the value of x is

Answers

Answer:dgrgfhtbsdvdsvs

Step-by-step explanation:dssfdfd

Answer:

x = 20

Step-by-step explanation:

perimeter = 2(width) + 2(length)

2(6x) + 2(3x) = 360

12x + 6x = 360

18x = 360

divide both sides by 18

x = 20

Which coordinate in this ordered pair is the X coordinate? (5,-8)

Answers

Answer:

5

Step-by-step explanation:

The x coordinate is always listed first

The coordinate in this ordered pair (5, -8) the X coordinate will be 5.

What is an ordered pair?

An ordered pair is made up of the ordinate and abscissa coordinates, with the two values given in parenthesis in a certain order.

Paired in order. Two numbers that must be provided in a specific order are considered ordered pairs. A set of two integers used to locate a point in a coordinate plane is typically referred to as an ordered pair.

The coordinate is given below.

(5, -8)

The y-coordinate is -8 and the x-coordinate is 5.

The ordered pairs are written in a form of (x,y).

Therefore, the ordered pair corresponding to the given coordinates is (-8,9).

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What expression is equivalent to 6(3x+4)?

Answers

Hey there!

“Which expression is equivalent to 6(3x + 4)

6(3x + 4)

6(3x) + 6(4)

6(3x) = 18x

6(4) = 24

= 18x + 24

Possible answer: 18x + 24 ☑️

Good luck on your assignment and enjoy your day!

~Amphitrite1049:)

Question : Find the length of the missing side. round your answer to the nearest tenth.

Answers

Answer:

8.5

Step-by-step explanation:

The radius of the front wheel of Monica's bicycle is 1 foot. About how far has Monica traveled after the wheel has made 100 revolutions? (use 3.14 for pi)

Answers

Answer:

Distance travel by Monica = 628 ft

Step-by-step explanation:

Given:

Radius of whee l = 1 ft

Number of revolution = 100

Find:

Distance travel by Monica

Computation:

Distance travel by Monica = 100[Circumference of wheel]

Distance travel by Monica = 100[2πr]

Distance travel by Monica = 100[2(3.14)(1)]

Distance travel by Monica = 100[6.28]

Distance travel by Monica = 628 ft

2. 1. Asia's new boat has a cruising speed of 27 miles per hour. At that rate, how long will it take her to travel the 3 miles across Old Hickory Lake?​

Answers

Answer:Time = 1/9 Hours  0r  0.11111 hours

Step-by-step explanation:

We Know that Speed = Distance / Tim\e

Using the constant rate of the speed given as 27 miles per hour at

Distance = 3miles

Time = Distance  / Speed

Time = 3 miles / 27miles per hour = 1/9 hours

What is the value of s?
units

Answers

Answer:

s = 17 units

Step-by-step explanation:

In triangle ABD,

(AB)² + (BD)² = (AD)² (by Pythagoras Theorem)

=> 8² + 15² = s²

=> 64 + 225 = s²

=> s = [tex]\sqrt{289}[/tex]

=> s = 17 units

Hope it helps :)

Please mark my answer as the brainliest

Pls help I will give extra points!!


Lin's father is paying for a $20 meal. He has a 30%-off coupon for the meal. After the discount, a 8% sales tax is applied.
What does Lin's father pay for the meal? Just type the number answer (without the dollar sign), and be prepared to explain or
show your reasoning.

Answers

Answer:

12.88

Step-by-step explanation:

First you do 20×.30 and get 6 so you subtract 20-6 which equals 14. Then you do 14×.08 and get 1.12 and you subtract that from 14. and you'll get 12.88

Jayden filled his 290 gallon pool with water in 4 hours. How many gallons per hour did he use?

Answers

Answer:

72.5 gallons an hour (i think im sorry if im wrong)

Step-by-step explanation:

help please! im really confused and stuck

Answers

To find the area of a circle, use the following formula; A = πr^2

The radius of a circle is half the diameter.

So;


4.) 18/2 = 9

Radius = 9


(3.14)9^2

9(9) = 81(3.14)

254.34 is the area of figure #4.


5.) 12/2 = 6

A = (3.14)(6)^2

A = (3.14)(36)

113.04(2) Because there are two pizzas.

226.08



Number 4 gives the most amount of pizza. So, one 18 in. pizza.

At a restaurant, you and your three
friends received a bill for $57.70
a. What is the total bill if you want to
include a 20% tip?

Answers

Answer:

$69.24

Step-by-step explanation:

$57.70X0.20=11.54

$57.70+$11.54=$69.23

Answer: the total is 69.24

Step-by-step explanation:

Three people take 90 minutes to water a garden. How many minutes would six people take?
minutes
It takes 6 labourers 7 days to complete a job. How many labourers would it take to complete the job in 3 days?
labourers

Answers

Answer:14

Step-by-step explanation:

pls pls help desprate

Answers

Step-by-step explanation:

x=33 y= -22

52 -33

-22=33m+b

-33=52+b

-11=19m

m=-11/19

-22= 19.105+ b

b= -41.105

y=-11x/19 -41.105

x intercept when y=0

0=-11x/19 -41.105

41.105=-11x/19

-11x= 780.995=781

x= - 71

x-intercept = -71

Which term has the definition "A fraction when the top and bottom cannot be any smaller, while still being whole numbers"? Group of answer choices Numerator Simplest Form Denominator Least Common Multiple (LCM)

Answers

Answer:

simplest form

Step-by-step explanation:

Simplest form is a method of converting the fraction to its lowest multiple.

For example, the fraction 25/100 isn't in its simplest form

Both the numerator and the denominator can be divided by 5. When divided by 5 the fraction becomes 5/20.

5/20 is still not in its simplest form because it can be divided by 5. When divided by 5, the fraction becomes 1/4.

1/4 is now in its simplest form because both the numerator and denominator cannot be divided by any other number

Read and understand the problem Guide Questions solution​

Answers

Yeahhhhhhhhhhhhhhhhhhhhhh

Alice has a total of 12 dimes and nickels.she has 2 more nickels than dimes.which equation represents the given problem situation?

A.c+2c=12,where c is the number of nickels

B.c+(c+2)=12,where c is the numbers of nickels

C.c+(c+2)=12,where c is the number of dimes

D.c+2c=12,where c is the number of dimes

Answers

the answer to your question is B

no joke i will give brainliest and thanks for the asnwer and go 5 star all ur past answers if u get this correct pls dont do wrong answers

Answers

Answer:

PR = PQ and ST = UT.

If this is not correct then:

PR = 8 ans UT = 2z+3

Step-by-step explanation:

simplify 4 to the 11th power over 4 to the -8th power

Answers

Answer:

274878070200

Step-by-step explanation:

4 to the power 11 = 4194304

4 to the power -8 = 0.00001525878

4194304/0.00001525878 = 274878070200

28% of the animals in an animal
rescue centre are cats. What
percentage are dogs?

Answers

Answer: Percentage of cats = 28%

Therefore, percentage of dogs = (100-28)%

= 72%

Step-by-step explanation:

hope this helps have a great night❤️

Which one is it? Will receive Brainliest!!!

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{GUIDE}\downarrow\\\\\large\text{\bf{ Trinomial}}\large\text{ equals \bf{THREE TERMS}}\large\text{ because \underline{TRI means}}\\\large\text{\underline{THREE}}\\\\\large\text{\bf{Monomial}}\large\text{ equals \bf{ONE TERM}}\large\text{ because\underline{ MONO means ONE}}\\\\\large\text{\bf{Polynomial}}\large\text{ equals SEVERAL TERMS because \underline{POLY means MULTIPLE}}\\\\\large\text{\bf{Binomial}}}\large\text{ equals \bf{TWO TERMS}}\large\text{ because \underline{BI means TWO}}}[/tex]

[tex]\large\text{We have approximately FOUR TERMS, so we could ELIMINATE}\\\large\text{OPTIONS A through B and Option D as a possible answer}\\\large\text{because remember what we said.. tri is three, mono is one, \& bi is two}[/tex]

[tex]\text{This leaves \bf{\underline{option C}}}\text{ as your given \underline{answer}}\text{ because it has MANY terms }[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \large\text{\bf{C. polynomial}}}}}}\huge\checkmark[/tex]

[tex]\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

30x + 4y = 1,040
12x + 16y = 2,000

Answers

Answer:

(15x+2y)

Step-by-step explanation:

not entirely sure but i hope this helps :) have a nice day !!

The values of x and y in the following equation system are 20 and 110, respectively.

What are System of equation?

simultaneous equations, system of equations Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a singular solution.

There are four methods to solving systems of equations: graphing, substitution, elimination and matrices.

given a system of equation:

30x + 4y = 1,040.....(1)

12x + 16y = 2,000...…(2)

We will solve it by using substitution method,

Multiply with 2.5 in equation (2) and subtract it from equation (1)

30x + 4y - 30x - 40y = 1040 - 5000

36y = 3960

y = 110

Substitute this value of y in equation (1)

30x + 440 = 1040

30x = 600

x = 20

Therefore, The value of x and y are 20 and 110 respectively for the given system of equation.

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Help me answer this math question

Answers

The equation representing the total number of students in the class: b+g=36

The equation representing the total number of boys in the class: b=2g-3

Sentence representing solution: The number of boys in the class is 13 and the number of girls in the class is 26

FOR BIG BRAINERS ONLY
(193849821E283701923009328347182*2983472091092830991248734/187234983742347)*0 + 2

Answers

Answer:

the answer is 2................

It’s 2 , and you put an “E” in the middle of the number XD

similarities transformations​

Answers

Answer:

B 1/3 then reflection across y axis then move figure 2 units to down and 1 right.

Step-by-step explanation:

The figure ABC is bigger than FED so the scale factor is less than one since we are going to ABC to FED. Let look at corresponding sides, AB and FE. AB distance is 3. FE distance is 1 so let divide

[tex] \frac{fe}{ab} [/tex]

[tex] \frac{1}{3} [/tex]

The scale factor is 1/3.

The new points are at A'(-2,0) B'(-2,1) C'(-1,0).

Then we apply reflection.

Since FED is in the 4th quadrant, we are going to reflect across the y axis.

That becomes using formula

(x,y) goes to (-x,y) when reflecting across yaxis.

A''(2,0) B''(2,1) C''(1,0)

Now we will apply the translation. We can simply just move the figure 2 units down and 1 unit to the right.

Answer:

b

Step-by-step explanation:

Which choices describe the number of acorns?

Answers

Answer: D

Step-by-step explanation:

Because if you count from the tup to bottom their is 4 and if you count from top to right its 5 so its... 5 x 4.

IM NOT GOOD AT EXPLAINING ... CAN SOMEONE HELP ME EXPLAIN ?...

Answe my  uuuuuuttt

Step-by-step explanation:

Over the seven-year span of babysitting for the Millard's, Carrie's babysitting rate went from $8 per hour to $14 per hour. What is the percent increase? Round to the nearest percent.

Answers

Answer: 75%

Step-by-step explanation:

Over the course of seven years, Carrie went from charging the Millards $8 to charging them $14 per hour.

To calculate the percentage increase, use the following formula:

= (New price - Old Price) / Old price * 100%

= (14 - 8) / 8 * 100%

= 6/8 * 100%

= 75%

Carrie's rate went up by 75%.

What is the measure of 1?
A.15
B.35
C.37
D.79

Answers

Answer:

we have

1+2=180(being co-interior angle)

2x+5+3x-10=180

5x-5=180

5x=180+5

x=185/5=37

m<1=2x+5=2×37+5=74+5=79

Solve using system by elimination:
-3x + 4y = -18
x = -2y - 4

Answers

Answer:

x=2 and y=−3

Step-by-step explanation:

Use math papa's systems of equations calculator that shows work!

:)

Answer:

I'm doing this now in school. its a pain

Step-by-step explanation:

x=2

y=-3

squares square roots, perfect square

Answers

The perfect squares are 25, 36, 49, 64, 81, 100, 121, 144, 169. You know a number is a perfect square when there is a whole number that can be multiplied by itself to get the number. Example: 25= 5x5
Hope that helps if you need a better explanation let me know.

One question, seventh grade question, please help! It’s not long!

Answers

Answer:

The Correct Answer Is 4

Step-by-step explanation:

So if you have $12 and you can buy $3 with each box of envelopes, you think, how many times can 3 go into 12

count in your head, 3 6 9 12 therefore, ITS 4

here is your equation to match this:

3 x ? = 12

You probably already know this, but i simple way to figure this out is to flip the equation to

12/3 = ?

so from here you can tell that 3 goes into 12 4 times

so the equation is

3 x 4 = 12

Hope It helps!

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