An arch is in the form of a semi-ellipse, with its major axis as the span. If the span is 80 feet and the height is 30 feet
write the standard equation.

Answers

Answer 1

Answer:

x^2/6400 + y^2/900

Step-by-step explanation:

Just did the question on odyssey

Answer 2

The standard equation of a semi-ellipse, with its major axis would be; x^2/6400 + y^2/900

What is the equation of the ellipse?

The standard equation of the ellipse centered at the origin behind the shape of the arch is presented below:

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

Where x is Horizontal distance, in feet.

y is Vertical distance, in feet.

a is Horizontal semiaxis length (half-width), in feet.

b is Vertical semiaxis length (height), in feet.

We are given that arch is in the form of a semi-ellipse, with its major axis as the span. If the span is 80 feet and the height is 30 feet.

a = 80

b = 30

Then the equation becomes as;

x^2/6400 + y^2/900

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Related Questions

Escribe una ecuación que represente la gráfica.

Answers

Un ecuacion es y = 3x

the answer is 1575 but I need to show my work! (find the total volume)
I WILL GIVE BRAINLIEST!!!!!​

Answers

Answer: 1575

Step-by-step explanation:

Volume of Pyramid: b*l*h/2 = 21*9*7/3 = 441

Volume of Rectangular prism = V= lwh = (21*12*9)/2 = 1134 (divide by two because it is half of a rectangular prism)

441 + 1134 = 1575

Melissa has a student dictionary on her desk. Her dictionary contains 99 pages. In this dictionary, more words start with the letter "S" than any other letter, occupying 11 full pages.

If she opens up the dictionary at random, what is the probability that the page contains words starting with "S"?

Answers

Answer:

I believe it is 1/9 or 11.1%

Step-by-step explanation:

11/99 /(divided by) 11 = 1/9

1/9 converted to a decimal is 0.1 (it's repeating- I am not sure how to do that on brainly w/ the fancy - over it, so it's 0.111111111...)

so as a percent, it makes it 11.1% (repeating) or 11 [tex]\frac{1}{9}[/tex]% (which is a more exact solution)

now if you need a ratio, it would be 1:9

hope this helps :)

Find the surface area of each figure. Round your answers to the nearest tenth, if necessary.

Answers

Answer:

area of triangle base ×height over 2= 10km×9.4 over 2

area rectangle l×w =10×10

Instructions: The following is the recorded earthquakes on South Carolina from August, 2016 to February, 2017. Use the data to find the residuals. Then draw a residual plot by hand. Use the residual plot to determine if the linear model is the best regression model for this data.


Magnitude Depth (km. )

[Table]

1. 7 2. 9

1. 1 0. 8

1. 4 1. 9

0. 7 3. 2

0. 8 4. 3

1. 9 4

1. 7 6. 3

1. 9 6. 9

1. 9 0. 9

1. 1 2

Source: USGS


x Residual (Round to nearest tenth)

1. 7 Answer

1. 1 Answer

1. 4 Answer

0. 7 Answer

0. 8 Answer

1. 9 Answer

1. 7 Answer

1. 9 Answer

1. 9 Answer

1. 1 Answer

Answers

Answer:

1.7 = -0.7

1.1 = -2.1

1.4 = -1.4

Unsure about 0.7

0.8 = 1.7

1.9 (unsure about both)

1.1 = -0.9

Step-by-step explanation:

Hope this helps :)))

The regression line is not a good model because the residuals are not randomly distributed.

What is the residual plot?

For a residual plot to represent a good model, the points on the residual plot must be randomly distributed across the coordinates.

From a regression, the residual is the difference between the observed values and the predicted values.  

Using the graph, we can see that the points that follow a pattern (or curve) regression line is not a good model because the residuals are not randomly distributed.

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Need help with this fast

Answers

Answer:

it says 20% under the math part

Amanda and Molly are selling wrapping paper for a school fundraiser. Customers can buy rolls of plain wrapping paper and rolls of shiny wrapping paper. Amanda sold 3 rolls of plain wrapping paper and 3 rolls of shiny wrapping paper for a total of $60. Molly sold 1 roll of plain wrapping paper and 9 rolls of shiny wrapping paper for a total of $132. What is the cost each of one roll of plain wrapping paper and one roll of shiny wrapping paper? (no links please)

Answers

Answer:

Step-by-step explanation:

Solving system of symultaneous equation:

Let the cost of one roll of plain wrapping pair = x

Let the cost of one shiny wrapping paper = y

Amanda:

   Cost of 3 rolls of plain paper + cost of 3 rolls of shiny paper = $ 60

3*x + 3*y = 60

3x + 3y = 60 ------------------(I)

Molly:

 Cost of 1 roll of plain paper + cost of 9 rolls of shiny paper = $ 132

  x + 9y = 132 ---------------------(II)

         x  = 132 - 9y ---------------(III)

Substitute x = 132 -9y in equation (I)

  3*(132-9y) + 3y = 60

3*132 - 3*9y + 3y = 60

    396 - 27y + 3y = 60

         Combine like terms

            396 - 24y  = 60

       Subtract 396 from both sides

                  -24y  =  60 - 396

                  -24y   = -336

        Divide both sides by (-24)

                      y   = -336/(-24)

[tex]\sf \boxed{y=14}[/tex]

Now, substitue y = 14 in equation (III)

x = 132 - 9*14

    = 132 - 126

[tex]\sf \boxed{x = 6}[/tex]

cost of one roll of plain wrapping paper = $ 6

Cost of one roll of shiny wrapping paper = $ 14

7. The perimeter of a right triangle is 60 cm and its hypotenuse is 25 cm. Find the area of the triangle.

Answers

Answer:

150 cm²

Step-by-step explanation:

Given

Perimeter = 60 cmHypotenuse = 25 cm

Solving

We need to find the lengths of the altitudesSince 25 cm is already covered there is (60 - 25) = 35 cm remainingThe lengths can be taken as x and 35 - xNow, since it's a right triangle, we can solve for x using the Pythagorean Theorem

Applying the theorem

x² + (35 - x)² = 25²x² + 1225 - 70x + x² = 6252x² - 70x + 600 = 0x² - 35x + 300 = 0x = 35 ± √1225 - 4(1)(300) / 2x = 35 ± √25 / 2x = 35 ± 5 / 2x = 40/2 = 20 or x = 30/2 = 15Upon solving the lengths of the altitudes are 15 and 20

Area of the triangle

1/2 x product of the altitudes1/2 x 15 x 2010 x 15150 cm²

Find the area of this triangle, round to the nearest tenth

Answers

Answer:

27.7 [tex]in^2[/tex]

Step-by-step explanation:

Find length of missing side:

11^2-6^2 = x^2

85=x^2

x = [tex]\sqrt{85}[/tex]

x = 9.22

9.22*6 / 2 = 27.66

Round to tenth:

27.7

Help me I need now plese ​

Answers

Answer:

Ex1. SAS, ASA, SSS, SAS

Ex2. There are 2 heights and equal length

Dtu =uts and ut common side du=us

Rq=sd and sq common side rs=qd

Which value is equivalent to 1,250 - 352
a
7
250
b 35
352
40

Answers

352 I think, correct me if I’m wrong

In
the number 22, how many times larger is the
value of the digit in the tens place than the value of
the digit in the ones place?

Answers

Answer: 10 times larger

Step-by-step explanation:

A diagram of a rectangular prism filled with unit cubes is shown below. Each unit cube has
side lengths measuring 1 foot.

What is the volume, in cubic feet, of the rectangular prism?
A. 12
B. 13
C. 54
D. 72

Answers

The volume of the rectangular prism filled with unit cubes each measuring the value of the length given is 72ft³.

Hence, Option D) 72ft³ is the correct answer.

Rectangular Prism and Cube

A rectangular prism is simply a three-dimensional solid shape with six faces which are rectangles.

The volume of a rectangular prism is expressed as;

V = l × w × h

Where l is length, w is width and h is height of the prism

A cube is a three-dimensional solid with six equal square-shaped sides.  

Given the data in the question;

Length of the sides of the cube = 1 footLength of the rectangular prism l = 4 cubes × 1 foot = 4ftWidth of the rectangular prism w = 3 cubes × 1 foot = 3ftHeight of the rectangular prism l = 6 cubes × 1 foot = 6ft

To determine the volume of the rectangular prism, we substitute our given values into the expression above.

V = l × w × h

V = 4ft × 3ft × 6ft

V = 72ft³

Option D) 72ft³ is the correct answer.

Hence, the volume of the rectangular prism filled with unit cubes each measuring the value of the length given is 72ft³.

In order to either condense or expand logarithms using their properties, what must be?
Group of answer choices

the need the same exponent

they need the same answer

the need to have the same base

Answers

Answer:

Answer C

Step-by-step explanation:

The rules of logarithmic functions require the two log functions to have the same base. If they do not have the same base, you cannot apply any of the rules.

Answer:

Last option

Step-by-step explanation:

They need same base inorder to apply any property

Like

log_a(bc)=log_a^b+log_a^clog_a(b/c)=log_a^b-log_a^c

Which expression is equivalent to rootindex 4 startroot 144 a superscript 12 baseline b cubed endroot? assume a greater-than-or-equal-to 0 and b greater-than-or-equal-to 0.

Answers

An expression has numbers, variables, and mathematical operations. The expression that is equivalent to (144a¹²b³)⁰°⁷⁵ is 2a³(9b³)⁰°⁷⁵.

What is an expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The expression that is equivalent to [tex]\sqrt[4]{144a^{12}b^3}[/tex], this can be done in the following manner,

[tex]\sqrt[4]{144a^{12}b^3}\\\\= \sqrt[4]{2^4 \times 3^2 \times a^{12} \times b^3}\\\\= (2^4 \times 3^2 \times a^{12} \times b^3)^{\frac14}\\\\= 2^{(\frac14 \times 4)} \times 3^{(\frac14 \times 2)} \times a^{(\frac14 \times 12)} \times b^{(\frac14 \times 3)}\\\\= 2 \times 3^{(\frac12)} \times a^{3} \times b^{(\frac34)}\\\\[/tex]

[tex]= 2\times a^{3} \times 3^{(\frac12 \times \frac22)} \times b^{(\frac34)}\\\\= 2\times a^{3} \times 3^{(\frac24)} \times b^{(\frac34)}\\\\= 2\times a^{3} \times 9^{(\frac14)} \times b^{3(\frac14)}\\\\= 2\times a^{3} \times (9b^{3(\frac14)})\\\\=2a^3 \sqrt[4]{9b^3}[/tex]

Thus, The expression that is equivalent to (144a¹²b³)⁰°⁷⁵ is 2a³(9b³)⁰°⁷⁵.

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Answer:

its a

Step-by-step explanation:

on edge 2022

What is the solution to the equation 9r=4/7

Answers

Answer:

r=4/63

Step-by-step explanation:

Divide each term in 9r=47 by 9 and simplify.

Answer:

[tex]r=\frac{4}{63}[/tex]

Step-by-step explanation:

1) Divide both sides by the same factor

[tex]9r=\frac{4}{7}[/tex]

[tex]\frac{9r}{9} =\frac{\frac{4}{7} }{9}[/tex]

2) Simplify

Cancel terms that are in both the numerator and denominator

[tex]\frac{9r}{9} =\frac{\frac{4}{7} }{9}[/tex]

[tex]r=\frac{\frac{4}{7} }{9}[/tex]

Divide the numbers

[tex]r=\frac{\frac{4}{7} }{9}[/tex]

[tex]r=\frac{4}{63}[/tex]

The data in the table represents the training times (in seconds) for Arnold and Jackson.

Arnold 102 86 87 99 92 100 94 89 84 97
Jackson 103 100 83 87 88 85 91 93 96 101
Question 1
Which person's training times had the greatest spread? Explain.

Select from the drop down menus to correctly complete each statement.

The range of Arnold's training times is
Choose...
. The range of Jackson's training times is
Choose...
. Thus,
Choose...
.
Question 2
The middle 50% of the training times of which person had the least spread? Explain.
The interquartile range of Arnold's training times is
Choose...
. The interquartile range of Jackson's training times is
Choose...
. Thus, the middle 50% of
Choose...
training times have the least spread.
Question 3
What do the range and interquartile range tell you about Arnold and Jackson's training times?

Select each correct answer.


Arnold's training times are more consistent than Jackson's.

Arnold and Jackson's training times have the same spread.

Jackson's training times are just as consistent as Arnold's.

Jackson's training times have the most spread.

Answers

Range for Arnold: 18; IQR: 12

Range for Jackson: 20; IQR: 13

Jackson's had the greatest spread.

Arnold's middle 50% had the least spread

What is the Range and Interquartile Range of a Data Set?

Range = Maximum value - minimum value

Interquartile range (IQR) = Q3 - Q1

Range and IQR are both measures of variability. The larger the value, the more spread the data values in a data set are.

Range for Arnold's training times = 102 - 84 = 18

Range for Jackson's training times = 103 - 83 = 20

Therefore, Jackson's training times had the greatest spread.

Interquartile range for Arnold's training times = Q3 - Q1 = 99 - 87 = 12

Interquartile range for Jackson's training times = Q3 - Q1 = 100 - 87 = 13

Thus, Arnold's middle 50% of his training times had the least spread.

The range and interquartile range tells us that, Arnold's training times are more consistent than Jackson's.

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This is Aleks! please help me with this! I have been stuck on this one for weeks!!

Answers

Answer:

1/12 + 3/12 = 4/12 (or 1/3)

Step-by-step explanation:

we want to express

1/12 + 1/4 as 1/12 + something / 12

1/12 + 1/4 = 1/12 + something/12

we already have the 1/12 part, so we're left with

1/4 = something / 12

first, we can calculate (denominator we want) / (denominator we have) = 12/4 = 3

then, we want to multiply our current value (1/4) by our result of the multiplication divided by itself.

3/3 = 1

1/4 = 1/4 * 1 = 1/4 * 3/3 = 3/12

thus, our second value is 3/12

we then have 1/12 + 3/12

if we have the same denominators, we can simply add the numerators up

1/12 + 3/12 = (1+3)/12 = 4/12


Timmy drank 2 quarts of water yesterday. He drank twice as much water today as he drank yesterday.
How many cups of water did Timmy drink in the two days

Answers

Answer:

24 cups or 6 quarts

Step-by-step explanation:

2 x 2 = 4  4 + 2 = 6

6 x 4 = 24

Becky says that when she simplifies the following expression, the value is 6 less than her age. What is Becky's age? (7+11) - 8÷2
20
14
26
11

Answers

(7+11) is 18, (8/2) is 4, 18-4 is 14! If this expression is 6 less than her age, she would be 20!

Which statements about the figure must be true? select three options. angledbc is bisected by ray bd. angleabc is bisected by ray bd. bc = one-halfac line segment d b is-congruent-to line segment b c 2mangledbc = mangleabc

Answers

We can see that the statements that about the figure that must be true in the following:

∠ABC is bisected by ray BD.BC = One-half of AC2 ∠DBC = ∠ABC.

What is angle?

An angle actually refers to the figure that is formed when two rays share a common endpoint that is called vertex. Also, when two planes intersect, they also form angles.

Thus, we can see that the above options are the three options that makes the figure true.

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Solve the system of equations y=-x+3 and 2x+2y=6

Answers

Answer:

y = -x + 3

Step-by-step explanation:

1. Substitute "y = -x + 3" in for y in the second expression:

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

2. Simplify:

2x + (-2x) + 6 = 6

0 + 6 = 6

6 = 6

Because the values are equal, the solution of y = -x + 3 is a valid input.

hope this helps!

Answer:

Answer to the first equasion is y=2: 2=-1+3

Step-by-step explanation:

y=-x+3  (x=1)

      -3      y=-x

                   -3=2

2=-1+3

y=2

Hope this helps and makes sence

3x+4 = 4(2x+9)
Please Help I CANT DO THIS!!!

Answers

Answer:

x=(14+sqrt(88))/6=(7+sqrt(22))/3=3.897 can i get brainliest?

I hope I can help you

With decimal is equivalent to 76/9

Answers

Answer:

8.4

Step-by-step explanation:

76 ÷ 9 = 8.44444444

= 8.4 (rounded)

hope this helps!

8.39i I I I I I I I I I I I I I I I I I I I I

What is the mean absolute deviation of robin’s scores? m a d = startfraction 8 1 5 0 12 over 5 endfraction

Answers

The mean absolute deviation of the given scores of Robin as shown in the diagram atatched is: 5.2.

What is the Mean Absolute Deviation of a Data?

The mean absolute deviation of a data set is determined by finding the average of the distance of each data point from the mean of the data set.

Given that the distance from the mean are: 8, 1, 5, 0, 12,

Mean absolute deviation = (8 + 1 + 5 + 0 + 12)/5

Mean absolute deviation = 26/5

Mean absolute deviation = 5.2.

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Does anyone know the answers to this, I had to do this yesterday but I didn´t know any of the questions.

Answers

Answer:

(A)

(1) NO

(2) YES

(B)

(3) YES

(4) NO

(5) YES

Step-by-step explanation:

According to the triangle sum theorem, the three interior angles of any triangle add up to 180 degrees. So, if we add up the three angles given, to be a triangle, they have to add up to 180 degrees.

38 + 42 + 110 = 190

So, ( (1)  38, 42, 110 ) is not a triangle becuase it adds up to more than 180 degrees (1).

20 + 40 + 120 = 180

So, ( (2)  38, 42, 110 ) is a triangle because it adds up to 180 degrees (2).

For the lengths for a triangle, the length of one side of a triangle must be greater than the difference and less than the sum of the lengths of the other two sides. This is saying:

A-B < C

A+B > C

So to find if they can be, simply plug in the values.

(3)

4-3 < 3

True : 1 < 3

4+3 > 3

True : 7 > 3

(3) is a triangle.

(4)

3-2 < 5

True : 1 < 5

3+2 > 5

False : 5 > 5

(4) is not a triangle

(5)

5-2.5 < 4

True : 2.5 < 4

5+2.5 > 4

True : 7.5 > 4

(5) is a triangle

Margo used 78 square yards of fabric to make 52 dresses last year. She used the same amount of fabric to make each dress. How many square yards of fabric did Margo use to make each dress?

Answers

The amount of square yards of fabric that Margo used to make each dress is; 1.5 sq. yds

How to Solve Algebra word Problems?

We are told that;

Last year, she used 78 yd² to make 52 dresses

We are told that she used the same amount of square yards for each dress.

Thus, to find the  square yards of fabric that Margo used to make each dress, we just divide 52 by 78.

Square yards used for each fabric = 78/52 = 1.5 sq. yds

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Vivian and her friend Maddie are each baking apple pies and tarts for a bake sale, using the same recipes. Vivian baked 10 apple pies and 10 apple tarts, using a total of 130 apples. Maddie made 10 apple pies and 5 apple tarts, which used 100 apples. How many apples does each dessert require?

Answers

Answer:

6.5

Step-by-step explanation:

Question is in image below. ​

Answers

Answer:

Step-by-step explanation:

Let's start with some conversions

-√113 = - 10.6301-120/11 = -10.90909-10.777... = -10.777...

Remember that when you go to the negative side of the reals, the number that looks like it should be the largest, when negative is the smallest.

Answers

The smallest number of these three is -10.909

The second smallest is -10.777... repeat

The third smallest is -√113 which is -10.6301

The Largest one of the four is 10.7

1a. What formula would you use to find
the area of the rectangle below?
2 units
3 units

Answers

Answer:

Area = Width * Length

Step-by-step explanation:

This is the formula for a rectangle. If you plug in the values that were givin to you, the answer is 6 units^2.

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