A mirror is the shape of an ellipse defined by startfraction y squared over 7.29 endfraction startfraction x squared over 6.25 endfraction = 1 with units in feet. which statement identifies the orientation of the mirror and its greatest dimension? the mirror has a vertical orientation and is 5.4 ft tall. the mirror has a horizontal orientation and is 5.4 ft wide. the mirror has a vertical orientation and is 7.29 ft tall. the mirror has a horizontal orientation and is 7.29 ft wide.

Answers

Answer 1

The major axis, which is horizontal, is of the length [tex]2\sqrt{7.29} = 5.4[/tex] ft, the miror axis, which is vertical, is of the length [tex]2\sqrt{6.25} = 5[/tex] ft.

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

Suppose that the major axis is of the length 2a units, and that minor axis is of 2b units, then if major axis is on x-axis and minor axis is on y-axis, then the equation of that ellipse would be:

[tex]\dfrac{x^2}{a^2} + \dfrac{y^2}{b^2} =1[/tex]

For the considered case, the equation of the considered ellipse is:

[tex]\dfrac{x^2}{(\sqrt{7.29})^2} + \dfrac{y^2}{(\sqrt{5.4})^2} =1[/tex]

Thus, the major axis, which is horizontal, is of the length [tex]2\sqrt{7.29} = 5.4[/tex] ft,

the miror axis, which is vertical, is of the length [tex]2\sqrt{6.25} = 5[/tex] ft.

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Answer 2

Answer:

The mirror has a vertical orientation and is 5.4 ft tall.

Step-by-step explanation:

Got it right. The major axis is vertical (the ellipse has a vertical orientation) because the y^2 term comes first. It is 5.4 ft tall because if you take the square root of the number under the y^2 term (square root of 7.29), it is equal to 2.7. This is only the distance from the center to one vertex on the major axis, and so twice 2.7 is 5.4, and the mirror is 5.4 ft tall.

Also I know I am weeks late, but maybe this will help others at some point. Sorry I didn't get here in time!


Related Questions

please someone help i will give brianliest

Answers

Answer:

the answer is 16

Step-by-step explanation:

look at the photo

A dartboard is divided into 20 sectors. Each sector is worth a point value from 1 to 20 and has shaded regions that double or
triple this value. A sector is shown below. Find the areas of the entire sector, the double region, and the triple region. Round
your answers to the nearest hundredth.
in
triple
double
The area of the entire sector is about
square inches.
The area of the double region is about
square inches.
square inches.
The area of the triple region is about

Answers

The area of each sector is the amount of space on the sector

The area of the entire region is 6.89The area of the double region is 0.75The area of the triple region is 0.46

The area of the entire sector

The area of a sector is calculated as:

A = (1/2) × r^2θ

For the entire sector, we have:

θ =  π/10

r = 6.625

So, we have:

A = (1/2) × 6.625^2 × π/10

Evaluate the product

A = 6.89

The area of the double region

For the double region, we have:

θ =  π/10

r = 6.25

So, we have:

A = Complete sector - (1/2) × r^2θ

A = 6.89 - (1/2) × 6.25^2 × π/10

Evaluate the difference

A = 0.75

The area of the triple region

For the triple region, we have:

θ =  π/10

R = 4.125

r = 3.75

So, we have:

A = (1/2) × R^2θ - (1/2) × r^2θ

A = (1/2) × 4.125^2 × π/10 - (1/2) × 3.75^2 × π/10

Evaluate the difference

A = 0.46

Hence, the area of the triple region is 0.46

Read more about sector areas at:

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A factory makes light fixtures with right regular hexagonal prisms where the edge of a hexagonal base measures 4 cm and the lengths of the prisms vary. It cost $0.04 per square centimeter to fabricate the prisms and the factory owner has set a limit of $11 per prism. What is the maximum length of each prism?

Answers

The maximum length of the prism is highest length of the hexagonal prism

The maximum length of each prism is 8.0 cm

How to determine the maximum length of each prism?

The surface area of the hexagonal prism is calculated using:

A = 6al + 3[tex]\sqrt[/tex]3 a^2

Where:

a represents the edge length; a = 4 cm

l represents the length (or height) of the prism

The surface area costs $0.04 per square centimeter.

So, we have:

C = 0.04 * [6al + 3[tex]\sqrt[/tex]3 a^2]

The maximum cost is $11.

So, the equation becomes

11 = 0.04 * [6al + 3[tex]\sqrt[/tex]3 a^2]

Substitute 4 for a

11 = 0.04 * [6 * 4l + 3[tex]\sqrt[/tex]3 * 4^2]

Evaluate the products and exponents

11 = 0.04 * [24l + 48[tex]\sqrt[/tex]3]

Divide both sides by 0.04

275 = 24l + 48[tex]\sqrt[/tex]3

Subtract 48[tex]\sqrt[/tex]3 from both sides

24l = 275 - 48[tex]\sqrt[/tex]3

Evaluate the difference

24l = 191.9

Divide both sides by 24

l = 8.0

Hence, the maximum length of each prism is 8.0 cm

Read more about surface areas at:

https://brainly.com/question/6613758

Answer:

275, 7.99

Step-by-step explanation:

i got it right

and please get me too branliest

solve pls brainliest

Answers

Answer:

Simplify the radical by breaking the radicand up into a product of known factors.

Exact Form:

3

75

5

Decimal Form:

0.84343266

Answer:

[tex]\frac{27}{125}[/tex]

Step-by-step explanation:

[tex](\frac{3}{5})^{3}[/tex] is [tex]\frac{3^{3}}{5^{3}}[/tex]

[tex]3^{3} = 27[/tex] and [tex]5^{3} = 125[/tex]

[tex]\frac{27}{125}[/tex]

Triangle ABC was transformed to create triangle DEF.

2 triangles are shown. Triangle A B C has point A at the top, B on the bottom right, and point C on the bottom left. Triangle D E F has point D at the top, E on the bottom right, and F on the bottom left. The triangles are identical.
Which statement is true regarding the side in the image that corresponds to Side length B A?

Side length B C corresponds to Side length B A because they are about the same length.
Side length E D corresponds to Side length B A because they are in the same position.
Side length E F corresponds to Side length B A because the transformation is isometric.
Side length F D corresponds to Side length B A because the length is not preserved.

Answers

Answer: Side length E D corresponds to Side length B A because they are in the same position.

Step-by-step explanation:

Answer: b

Step-by-step explanation:

Write x=2 in slope intercept form

Answers

When x=a the slope is undefined . And when y is b the slope is zero

Pick the biggest number.
A0.193 B0.26 C0.6 D0.308

Answers

Answer:

Hello fellow Human! ^ω^

The answer is option D. 0.308

Step-by-step explanation:

We are going to Compare the digits starting with the greatest place value.

The Number 0.193 Is not the biggest number. However, 0.193 is bigger than 0.26 and 0.60.

The number 0.193 is smaller than the number 0.308.

Therefore, the answer is Option D. 0.308

Hope this helps!

Have an Awesome Friday!

GUYS PLS HELP
What kind of
drawing is this
figure?
A. A triangle
B. A perspective drawing
C. A cylinder
D. A net

Answers

B: A perspective drawing

Answer:

B. perspective drawing.

Step-by-step explanation: perspective drawings can be inspirational drawing and can be imagined and created to be like anything and can be anything.

A triangle has two sides of length 14 and 19. What is the largest possible whole-number length for the third side?

Answers

its 33 I checked it mark the one above me brainiest

someone pleaseee helppppp

Answers

i think your answer is 148 bc interior angles are equal to exterior angles, and 123 + 25 is 148 :)

Joel has 24 sports trophies. Of the trophies 1/8 are soccer trophies. How many soccer does Joel have ?

Answers

Answer:

We are given that Joel has 24 sports trophies, of the 24 trophies there are 1/8 soccer trophies.


1/8 of 24 is 3.

24 divided by 8 = 3 soccer trophies

There are 3 soccer trophies all the rest of the trophies, which is 21 trophies, will be other sports. 21 trophies + 3 soccer trophies = 24 trophies in total



Step-by-step explanation:

Have a great rest of your day
#TheWizzer

Elsa drove 737 miles in 11 hours.
At the same rate, how many miles would she drive in 13 hours?

Answers

Answer:

871 miles

Step-by-step explanation:

737/11= 67

67 x 13= 871

Jacob had a cube. When Jacob made a cross section parallel to the base, what shape did the cross section form? trapezoid square parallel triangle

Answers

Answer: Square

Step-by-step explanation:

A cross section cut parallel to a base will be the same shape as the base itself, and the base of a cube is a square. :)

Answer:

A square because it is not diagonal.

Step-by-step explanation:

A fuel tank is in the shape of a right circular cylinder. The radius of the base and height of the tank are

10

feet and

25

feet, respectively. Due to safety measures, the tank can be filled to only

80

%

of its capacity.


If

100

cubic feet of fuel are equal to

2. 78

gallons, what is the maximum number of whole gallons of fuel the tank can contain due to safety measures?

Answers

The maximum number of whole gallons of fuel the tank can contain due to safety measures is 174.584 gallons

Volume of a cylinderv = πr²h

r = radius

h = height

Therefore,

r = 10 ft

h = 25 ft

The tank can only be 80% filled due to safety measures. Therefore,

v = 3.14 × 10² × 25

v = 3.14 × 100 × 25

v = 3.14 × 2500

v = 7850 ft³

80% capacity of 7850 ft³  is as follows:

80 / 100 × 7850 = 628000 / 100 = 6280 ft³

100 ft³ = 2.78 gallons

6280 ft³ = ?

cross multiply

maximum number of whole gallons  = 6280 × 2.78 / 100 = 17458.4 / 100 = 174.584 gallons

Therefore, the maximum number of whole gallons of fuel the tank can contain due to safety measures is 174.584 gallons

learn more on cylinder here: https://brainly.com/question/1780981

Which expression is equivalent to this equation attached? Please help! I will make brainliest

Answers

Step-by-step explanation:

please mark me as brainlest

help me pleaseeeeeeeeee ​

Answers

for 2 points A(xa;ya) and B(xb;yb)

the slope is (yb - ya) / (xb - xa)

here

the slope = 4 = (17-r) / (4-(-1))

(17-r) / 5 = 4

17 - r = 20

r = 17 - 20

r = - 3

point (-1 ; -3)

Find the value of x.
(3x+9)
(4x + 3)

Answers

Answer:

For two different equations:

(3x+9)

x = -3

(4x+3)

x = -3/4

Finding x using both equations:

plug x = -3 into the other equation

4(-3) + 3 = -9

x = -9

plug x = -3/4 into the other equation

3(-4/3) + 9 = 27/4

x = 27/4

Set the equations equal to each other:

3x+9=4x+3

3x-4x = 3-9

-x = -3

x=3

PLEASE RATE!! I hope this helps!!

If you have any questions comment below

Cole is buying a new rain barrel to help with watering his garden. The rain barrel is shaped like a right circular cylinder. What is the volume of the rain barrel if it is 26 inches tall and has a diameter of 22 inches? Use straight pi equals 3.14.

A right circular cylinder diameter 22 inches and a height of 26 inches.

V equals_(blank)_ inches cubed

Round to the nearest hundredth if necessary. Type your numerical answer (without units) below.

Answers

Answer:

[tex]V = 9878.44 in^3[/tex]

Step-by-step explanation:

The volume of a cylinder, is essentially base multiplied by height. Think of it like this, you are taking a flat 2D circle and extending it in 3rd dimension by a length 'h'.

[tex]V = base * h[/tex]

The base here is the circle area, and the height is the amount you extended that 2d circle in the 3rd dimension.

The area of a circle is [tex]\pi r^2[/tex]. If we put that into our equation we get the volume of a cylinder.

[tex]V = \pi r^2 *h[/tex]

Now applying that to the question; Firstly, we are given the diameter, which is 22 inches. We need radius, to actually put it in the equation. The diameter is essentially 2 multiplied by the radius. That means to get the radius we divide the diameter by 2, giving us 11 inches. Next we are given how tall it is, 26 inches; that is the height.

[tex]r = 11in\\h = 26in[/tex]

Plug these values into the equation.

[tex]V = 3.14(11in)^2 * 26in[/tex]

Calculate this, and you get [tex]V = 9878.44 in^3[/tex]

Please help me with this please and thank you

Answers

Answer:

so i wrote the steps but not the answers, if you want i can write the answers too

Step-by-step explanation:

hello! so here all you have to do is substitute the given points of x to the equation. then you put two points on the graph. (two points on each graph) i can write the answers if you want, but please try first! if you cant ill help some more and show how to do it.

The current temperature is 48°F. It is expected to drop 1.5°F each hour.
Which equation can be used to find in how many hours, h, the temperature will be 36°F?
A) 36 + 48h = 1.5
B) 48 – 1.5h = 36
C) 48 + 1.5h = 36
D) 36 - 1.5h = 48

Answers

Answer:

B

Step-by-step explanation:

What is the missing numerator?

A: 1
B: 2
C: 3
D: 4

Answers

Answer:

C. 3

is the answer :)

hopefully this helps

Answer:

D: 4

Step-by-step explanation:

1) Make the 1/4 into 5/20 by multiplying top and bottom by 5/5

x/5 - 5/20 = 11/20

2) Move the 5/20 to the other side

x/5 = 11/20 + 5/20

3) Add the 2 fractions on the right

x/5 = 16/20

4) Make the fraction on the right have a denominator of 5 by dividing top and bottom by 4/4

x/5 = 4/5

5) Multiply both sides by 5

x = 4

The missing numerator is 4.

Identify the population and the sample. Lena wants to open a new restaurant in a mall and needs to determine what kind of food to serve to attract the most customers. Out of 1200 mall visitors, 200 are asked their food preference.

Answers

The total mall visitors is the population parameter of the experiment

The sample of the experiment is 200, while the population is 1200

How to identify the sample and the experiment?

From the question, we have the following parameters:

Total mall visitors = 1200Visitors interviewed = 200

The total mall visitors is the population while the visitors that were asked of their food preference are the sample

Hence, the sample of the experiment is 200, while the population is 1200

Read more about sample and population at:

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Which person is not living within their means?
A. Joyelle set aside money for emergency funds by limiting her thing
entertainment costs for a few months.
B. Bill earns a high salary, so he contributes the maximum allowed to
his IRA each year.
C. Ella maxed out all three of her credit cards but pays the minimum
balance each month.
O D. Dmitri earns $1000 a month and spends $800 on rent, groceries,
and other expenses.

Answers

The person that is not living within their means is Ella who has maxed out all three of her credit cards but pays the minimum balance each month.

What does it mean when a person is living above their means?

If a person is living above their means, the person is spending more money than they have. A person living above their means would most likely borrow in order to afford their lifestyle. A person living above their means would have no amount of savings.

To learn more about credit cards, please check: https://brainly.com/question/14716152

A toy car launches off a ramp with a height of 6 feet with an upward velocity of 10 feet per second. The function h = -16t^2 +10t +6 gives the height in feet of the car after t seconds. After how many seconds does the car land on the ground?

Answers

On factoring, the value of t is 1. This shows that the car will land on the ground after 1 sec.

Solving quadratic functions

Quadratic functions are functions having a leading degree of 2.

Given the function height in feet of the car after t seconds expressed as

h = -16t^2 +10t +6

The height of the car on the ground is zero, hence:

16t^2 -10t -6 = 0

8t^2 - 5t - 3 = 0

Factorize the quadratic function

8t^2 - 5t - 3 = 0

On factoring, the value of t is 1. This shows that the car will land on the ground after 1 sec.

Leearn more on functions here: https://brainly.com/question/10439235

Will give
BRAINLY AND FIVE STARS and A THANKS

Answers

Answer:

k = 12h

Step-by-step explanation:

Since each of the inputs of h can be mutiplied by 12 to get the output k, the equation is k = 12h
Hope this helps :)

Abby practiced her horn for 3/4 of an hour every day for 12 days?
a) How many hours did she practice in those 12 days?

b) How many minutes did she practiced in those 12 days?

Answers

Answer:

9 hours, 540 minutes

Step-by-step explanation:

12 x 0.75 = 9

Need help with b please and thank you (lots of points)

Answers

Answer:

  17.34 years

Step-by-step explanation:

The equation you wrote in the first part of the problem can be solved for the value of t that makes the population be 5000.

  [tex]P(t)=\dfrac{10000}{1+11.5e^{-0.1408614477t}}[/tex]

Setting this equal to 5000 and multiplying by the denominator, we have ...

  [tex]5000=\dfrac{10000}{1+11.5e^{-0.1408614477t}}\\\\5000+57500e^{-0.1408614477t}=10000\\\\e^{-0.1408614477t}=\dfrac{5000}{57500}\qquad\text{subtract 5000, divide by 57500}\\\\-0.1408614477t = \ln{\dfrac{1}{11.5}}=-\ln(11.5)\qquad\text{take logs}\\\\t=\dfrac{\ln(11.5)}{0.1408614477}\approx17.3386[/tex]

For the population to reach 5000, it will take about 17.34 years.

_____

Additional comment

The value -0.14086... is the natural log of the ratio 1818/2093. This means the "exact answer" is ln(11.5)/(ln(2093) -ln(1818)), an irrational number.

A graphing calculator can answer the question easily.

PLEASE PLEASE PLEASE HELP ME YALL‼️‼️‼️‼️‼️

There are four boys in a class of ten students. Four students are to be randomly selected
(without replacement) to help in the lunch line. Determine the probability that all four
students are boys.

Answers

Answer:

Hi .. im happy to help

answer is 0.033

Step-by-step explanation:

P = C(4,4)÷C(10,4)

P = 1 ÷ 30

[tex]p = \frac{1 }{30} [/tex]

p = 0.033

Pls help I need to know how much the penny will be by the end

Answers

Answer:

Day 1: $.01

Day 2: $.02

Day 3: $.04

Day 4: $.08

Day 5: $.16

Day 6: $.32

Day 7: $.64

Day 8: $1.28

Day 9: $2.56

Day 10: $5.12

Day 11: $10.24

Day 12: $20.48

Day 13: $40.96

Day 14: $81.92

Day 15: $163.84

Day 16: $327.68

Day 17: $655.36

Day 18: $1,310.72

Day 19: $2,621.44

Day 20: $5,242.88

Day 21: $10,485.76

Day 22: $20,971.52

Day 23: $41,943.04

Day 24: $83,886.08

Day 25: $167,772.16

Day 26: $335,544.32

Day 27: $671,088.64

Day 28: $1,342,177.28

Day 29: $2,684,354.56

Day 30: $5,368,709.12

Rachel has half the amount of money that Melanie has.

Melanie has $12 less than 3 times the amount that Kim has.

Let k represent the amount. of money kim has.

(A) write an expression that represents the amount of money that Melanie and Kim has. (two separate expressions)

(B) if kim has $20, how much money does Melanie and Rachel have?

EXPLAIN UR WORK

Answers

Given↷Rachel has half the amount of money that Melanie has.

Melanie has $12 less than 3 times the amount that Kim has. To find↷

expression that represents the amount of money that Melanie and Rachel has.

If kim has $20, how much money does Melanie and Rachel have?Answer↷Melanie: 3k - $12 & Rachel : 1.5k - $6Melanie: 48 & Rachel:24Solution ↷

Let the amount of money Kim has be k then,

ATQ,

The amount of money Melanie has

⇢3k - $12

The amount of money Rachel has

⇢3k-$12/2 = 1.5k - $6

Given that,

Kim has $20,

so,

The amount of money Melanie has

⇢3k - $12 = 3 x $20 -$12 = $48

The amount of money Rachel has

⇢ 1.5k - $6 = 1.5 x $20 -$6 = $24
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Help picture below problem 11 Enter the number of rows needed and the number of seats that will be left over. Mr.B called Mrs.A, then called Ms.C. If Mr.B called Ms. C first, then Mrs. A, what property does this mimic? Associative, Commutative, or Distributive property. Choose the set of numbers with an average of 9.A) 3, 5, 7, 8, 12B) 2, 3, 6, 13, 16C) 2, 4, 8, 11, 20 Point G is on line segment FH. Given FG = 7 and GH = 2, determine the lengthFH. Brett create a function of X with seven points each in a different location on the grid he graph sixth of the points as shown use the add point tool to show the location of a point that could be the seventh point of Brett function How do you put 2hundreds 9tens 18ones in standard form PLEASE HELPPPPWhich of the examples below is an example of privilege?O A. Being mistreated in a store or restaurantO B. Hearing gunshots in your neighborhoodO C. Being told to go back to your countryO D. Learning about people of your race or ethnicity in history books Write comparative (+, , =) and superlative (+ +, ) statements using the cues.Mes cousines (+ / argent / mon frre)Nous avons (= / devoirs / nos amis)Hier, jai vu ( / lapins / ma sur)Cest le champ qui a... (+ + / fleurs)Ce sont mes parents qui gaspillent... ( / eau) Q1. (20 marks) Entropy Analysis of the heat engine: consider a 35% efficient heat engine operating between a large, high- temperature reservoir at 1000 K (727 C) and a large, cold reservoir at 308 K (35C). If it withdraws 1.2 MJ/s from the high-temperature reservoir, what would be the rate of loss of entropy from that reservoir and what would be the rate of gain by the low-temperature reservoir? (4 marks) b. Express the work done by the engine in watts. (3 marks) What would be the total entropy gain of the system? d. Determine Carnot efficiency and recalculate the a, b, and c, accordingly. The zoo has 14 penguins. There are 6 more penguins than lions. How many lions are at the zoo? Order these from least to greatest 69/10 , 6.99, 7.927, 6 8/9 Gizmo eats 3 crickets per day. If there are 15 crickets in a container, what is the maximum number of days Ms. Evans can go before buying replacement crickets. Gavin purchased a stereo speaker in the shape of a triangular pyramid. It has a height of 6 inches. The volume of the speaker is 22 in3. What is the area of the base of the speaker?A. 5 inB. 11 inC. 66 inD. 44 in Pls help with this problem What is the most interestingOr surprising thing you learned about the universe and galaxies? Injuries are categorized in 4 ways. List the 2 that are missing. Can someone draw me two camels wrestling no color and it dont have to be the best A plant is sitting on a table.What, if any, forces are acting on the plant? (If there are forces acting on theplant, include what direction they are acting.)1 - Gravity (down)11- Static Friction111 - Normal (support) Force (up)IV - Air Resistance to the left)V - Applied Force (to the right) Suppose there will be global catastrophe unless we hold total carbon dioxide emissions at or below 35 million tons per year. As a result, 35 million tons of emissions permits are auctioned off and the proceeds distributed equally between everybody on Earth. Is this better, worse, or basically the same as allocating to each of the 7 billion people on Earth 10 pounds of untradeable emissions permits per year?a. better, because it lowers the cost of emissions abatementb. worse, because it raises the cost of emissions abatementc. about the samed. It is impossible to say.