The major and minor axes of an ellipse are 25 inches and 4 inches in length. What is the area of the ellipse?

Answers

Answer 1

Answer:

Therefore, the area of the ellipse is:

                                               Area = 78.5 inches

Step-by-step explanation:

The formula to find the area of the ellipse is

[tex]\:a\:\times \:b\:\times \:\pi[/tex]

The major axis of an ellipse = 25 inches

The minor axis of an ellipse = 4 inches

The value of a = major axis/2 = 25/2 = 12.5 inchesThe value of b = minor axis/2 = 4/2 = 2 inches

Thus

The area of the ellipse:

                                     Area = [tex]\:a\:\times \:b\:\times \:\pi[/tex]

                                              [tex]=\:12.5\:\times\:2\:\times\:\pi[/tex]

                                              [tex]=25\pi[/tex]

                                               [tex]=78.5[/tex] inches     ∵ [tex]\pi =3.14[/tex]

Therefore, the area of the ellipse is:

                                               Area = 78.5 inches


Related Questions

a store sells 14 2/3 lb of carrots one day. The next day the store sells to 2 1/3 pounds of carrots how many pounds of carrots did the store sell?​

Answers

Answer:   17lbs of carrots

Step-by-step explanation:

Which scoring scheme is the most favorable to the test taker?

Answers

Answer:

If the situation is: Sebastian has researched the following scoring schemes: one that has 5 question choices, one that has 4 question choices, and two that have 3 question choices. Which scoring scheme is the most favorable to the test taker?

Then I believe the answer is scheme D

Step-by-step explanation:

edge ( Brainliest if you can)

in a certain clothing store,6 shirts and 3 ties cost $79.50 ,and 3 shirts and 2 ties cost $41. determine the cost of each shirt.

Answers

Answer:

Each shirt cost $12

Step-by-step explanation:

First, we have to interpret this question and turn each to an equation, letting shirts represent the letter s and ties represent the letter t.

6 shirts and 3 ties cost $79.50 would be interpreted to 6s+3t=79.5 ,and 3 shirts and 2 ties cost $41 would be interpreted to 3s+2t=41

Hence we have two equations, and we solve them simultaneously.

6s+3t=79.5 (Equation 1)

3s+2t=41 (Equation 2)

We can either use the substitution method or the elimination method but for the sake of this question, we use the Elimination method.

6s+3t=79.5 (Equation 1)

3s+2t=41 (Equation 2)

We multiply equation 1 by 2 and we multiply equation 2 by 3, I'm prefer to eliminate the

2(6s+3t=79.5)

12s+6t=159 Equation 3

3(3s+2t=41)

9s+6t=123 Equation 4

We subtract equation 4 from equation 3.

12s+6t=159

9s+6t=123

12s-9s=3s

6t-6t=0

159-123=36

We therefore have

3s=36

Divide both sides by 3

s=36/3

s=12

One shirt cost $12

What are the characteristic of financially responsible decision ​

Answers

1. Detail- oriented.
2. Patient.
3. Rational.
4. Self-confident.
5. Savings focused.

the area of the base (B) of a triangular pyramid is 28 cm. The perimeter (p) is 20 cm, and the slant height (S) is 5 cm. Determine the pyramid's surface area. A) 96 cm2 B) 128 cm2 C) 225 cm2 D) 78 cm2

Answers

Answer: D. 78cm2

Step-by-step explanation:

SA=B+1/2ph

SA=28+1/2(20)(5)

SA=78cm2

Answer:

78 cm2

SA = B +  

1

2

ph

SA = 28 +  

1

2

(20)(5)

SA = 78 cm2



On 1st January 2016 Li bought a boat for $170000

The value of the boat depreciates by 8% per year.

Work out the value of the boat on 1st January 2019

Give your answer correct to the nearest dollar.

Answers

Final answer:

After a depreciation of 8% per year for 3 years, the value of Li's boat depreciates to approximately $136258, according to the formula for calculating the value of an asset after a certain number of years of depreciation.

Explanation:

The value of an asset after a certain number of years, taking into account annual depreciation, can be calculated using the formula: Preliminary Value x ((100 - Depreciation Rate) / 100) ^ Years Of Depreciation.

Given that the initial value of Li's boat was $170,000 and it depreciated by 8% each year, we can substitute these values into the formula to find the value of the boat on 1st January 2019 (after 3 years).

So, the boat's value would be: $170,000 x ((100 - 8) / 100) ^ 3. This simplifies to $170,000 x (0.92) ^ 3, yielding a final value of approximately $136258

Learn more about Depreciation calculation here:

https://brainly.com/question/31180880

#SPJ11

if a pair of 1-6 number generators is tossed once, what is the propabilitly that the total number rolled would be..1?.... 2?.... 3?​

Answers

Probability that the total number rolled would be 1 , 2 , 3  is [tex]\frac{1}{6}[/tex] or 0.167 each .

Step-by-step explanation:

Here we have , a pair of 1-6 number generators is tossed once,   . We need to find that  what is the probability that the total number rolled would be..1?.... 2?.... 3?​. Tossed once, and number of outcomes are { 1,2,3,4,5,6 } out of which we need to find probability that the total number rolled would be 1 , 2 , 3 .

Probability for 1: Number 1 will come out of 6 digits present there so,

[tex]Probability = \frac{favorable-outcomes}{total-outcomes}[/tex]

⇒ [tex]Probability = \frac{favorable-outcomes}{total-outcomes}[/tex]

⇒ [tex]Probability = \frac{1}{6}[/tex]

⇒ [tex]Probability = 0.167[/tex]

Probability for 2:Number 2 will come out of 6 digits present there so,

[tex]Probability = \frac{favorable-outcomes}{total-outcomes}[/tex]

⇒ [tex]Probability = \frac{favorable-outcomes}{total-outcomes}[/tex]

⇒ [tex]Probability = \frac{1}{6}[/tex]

⇒ [tex]Probability = 0.167[/tex]

Probability for 3:Number 3 will come out of 6 digits present there so,

[tex]Probability = \frac{favorable-outcomes}{total-outcomes}[/tex]

⇒ [tex]Probability = \frac{favorable-outcomes}{total-outcomes}[/tex]

⇒ [tex]Probability = \frac{1}{6}[/tex]

⇒ [tex]Probability = 0.167[/tex]

(-6)*(-6)*(-6)*z*z
the expression is

Answers

Answer:  (-6)³z²  =  -216z²

Step-by-step explanation:

(-6)(-6)(-6)z·z

-6 is multiplied by itself 3 times so gets an exponent of 3 --> (-6)³

z is multiplied by itself 2 times so gets an exponent of 2 --> z²

Christina estimated 188% of 91 by performing these steps. What did she do wrong?
(90)(190%)
= (90)(100%+90%)
= (90)(100%) +(90) (90%)
= (90)(1.0)+(90) (0.9)
= 90+ 18
= 108

Answers

2 pretty major mistakes, the numbers are messed up in her calculations. If she had done the correct numbers although her way of solving is not the best way, she would have gotten the correct answer

Answer:

she incorrectly multiplied 90 times 0.9

Step-by-step explanation:

If the r-value, or correlation coefficient, of a data set is 0.934, what is the
coefficient of determination to three decimal places?

Answers

.872

To find the coefficient of determination, simply square the r-value (r^2).

(.934)^2 = .872356

4x+4y+z=24
2x-4y+z=0
5x-4y-5z=12

Answers

Answer:

what are you looking for

Step-by-step explanation:

I WILL GIVE BRAINLIEST, 5 STARS, AND THANKS!

Find the volume of the prism.

A. 250 yd3

B. 50 yd3

C. 20 yd3

D. 200 yd3

Answers

Answer:

D

Step-by-step explanation:

To find Volume, you multiply length, width and height.

10x4=40

40x5=200

Answer:

D)200yd^3

Step-by-step explanation:

all you have to do is times 4*5*10=200 to get the volume

Order of Operations- -6+(-30) divided by 5-(-2). Explain step by step

Answers

Answer:

-36/7 or -5.14287

Step-by-step explanation:

so I would get rid of parentheses you do not need them

[tex]\frac{-6+-30}{5--2}[/tex]=[tex]\frac{-36}{7}[/tex](because when two negative come before two numbers like -x-y they are being added but negative is present to the result of the sum, when one negative sign comes after a number and the other negative sign comes before a number, like x--y they are being added as well but negative is not present to the result of the sum)

-36/7=-5.1428

hope this helps!

What is the factored form of x6 - 9?​

Answers

Answer:

Step-by-step explanation:

(x 3)(x – 3)

(x5 3)(x – 3)

(x3 3)(x2 – 3)

(x3 3)(x3 – 3)

Answer:

(x3 + 3)(x3 – 3)

Step-by-step explanation:

Graph a line that contains the point (-5, -6) and has a slope of
aina
5+
+
но са
-7
-6
-5
-4
-3 -2
1
2
3
4
5
6
7

Answers

Equation of the line is [tex]y=\frac{2}{3}x-\frac{8}{3}[/tex].

Solution:

Slope (m) = [tex]\frac{2}{3}[/tex]

Point [tex](x_1, y_1)=(-5, -6)[/tex]

Point - slope form:

[tex]y-y_1=m(x-x_1)[/tex]

[tex]$y-(-6)=\frac{2}{3}(x-(-5))[/tex]

[tex]$y+6=\frac{2}{3}(x+5)[/tex]

[tex]$y+6=\frac{2}{3}x+\frac{10}{3}[/tex]

Subtract 6 from both sides.

[tex]$y+6-6=\frac{2}{3}x+\frac{10}{3}-6[/tex]

[tex]$y=\frac{2}{3}x+\frac{10-18}{3}[/tex]

[tex]$y=\frac{2}{3}x-\frac{8}{3}[/tex]

Equation of the line is [tex]y=\frac{2}{3}x-\frac{8}{3}[/tex].

The image of the graph is attached below.

Answer:

Equation of the line is

Step-by-step explanation:


Anna pays for her purchase with four $20 bills and two $10 bills. Which is the correct change for Anna's purchase?
A) Two $1 bills, one nickel, and two pennies
B) Two $1 bills and one dime
C) Three $1 bills, one nickel, and two pennies
D) Three $1 bills, two nickels, and two pennies
E) None of the above

Answers

Answer:

what was she buying ?total she has 100 dollars

Step-by-step explanation:

I think the answer would be E

Solve and check y-12=4y

Answers

Answer:

-8

Step-by-step explanation:

The answer is -8 because y=4 so 4-12=-8

James and Tyson are buds. The sum of their ages is 97. The difference of their ages is 19. Find their ages.

Answers

Answer:

James is 58 and Tyson is 39 years old.

Step-by-step explanation:

x + y = 97

x - y = 19    +

--------------

2x = 116

x = 58

--------------

y = 97 - 58

y = 39

Final answer:

To find the ages of two friends based on the sum and difference of their ages.

Explanation:

James and Tyson are two friends whose ages sum up to 97 and have a difference of 19. To find their ages, we can set up a system of equations:

Let's denote James' age as x and Tyson's age as y.We have the equations: x + y = 97 and x - y = 19.Solving these equations simultaneously gives x = 58 and y = 39.

Therefore, James is 58 years old, and Tyson is 39 years old.

Help. Interpreting Graphs Of Proptional Relasionships. !

Answers

Final answer:

Graphs of proportional relationships visually depict how two or more variables are interrelated using line graphs, pie graphs, and bar graphs. Line graphs show direct relationships with a constant rate of change, pie graphs represent portions of a whole, and bar graphs compare quantities through the height of bars.

Explanation:

When interpreting graphs of proportional relationships, it's essential to recognize that these graphs illustrate how two variables correlate with one another. In line graphs, a straight line that passes through the origin indicates a direct proportionality, meaning as one variable increases, the other increases at a constant rate. For instance, if a line graph shows the relationship between hours worked and income earned, the line's slope denotes the rate of earning per hour, showcasing a proportional increase in income with more hours worked.

Pie graphs are used to represent how a whole is divided into parts, with the size of each 'slice' showing the percentage of the total. An example could be a budget allotment where each slice represents what percentage of the budget is spent on specific categories, like marketing or research and development.

Lastly, bar graphs can also indicate proportional relationships through the height of the bars. For example, if a bar graph displays the population sizes of different countries, each bar's height is proportional to the population of that country. When bars are segmented, they can show subgroups within that population, such as age demographics or income brackets.

Edward owes his parents $20 for a new video
game that he bought. He pays his parents back
$5 every 2 days. Complete the table and graph
to find how long it will take Edward to
pay back his debt.

Answers

Answer:

it would take Edward 8 to pay back his debt

Step-by-step explanation:

every 2 days he pays his parents 5 bucks so because 5 times 4 equals 20 he would have to multiply the 4 by 2 and that gets you 8 days

Final answer:

Edward will pay back his $20 debt to his parents by repaying $5 every 2 days; thus, it will take him 8 days in total to repay the full amount.

Explanation:

The question asks us to determine how long it will take for Edward to pay back a $20 debt to his parents if he repays $5 every 2 days. To solve this, we can set up a simple table showing the cumulative amount paid over time, and then establish a corresponding graph if needed. Here's how the repayment schedule works out:

Day 0: $0 paid back

Day 2: $5 paid back (Total: $5)

Day 4: $5 paid back (Total: $10)

Day 6: $5 paid back (Total: $15)

Day 8: $5 paid back (Total: $20)

From the table, it is clear that it will take Edward 8 days to pay back the full $20 debt.

Each lapel on a suit jacket is in the shape of a triangle.the three angles of each triangle measure 47 , 68 and 65. classify the triangle by its angles

Answers

The type of triangle is acute angled triangle.

Solution:

Let us first define the type of triangles based on angles.

If all angles of a triangle are less than 90°, then it is acute angled triangle.

If any one angle of a triangle is exactly 90°, then it is right angled triangle.

If any one angle of a triangle is more than 90°, then it is obtuse angled triangle.

Given angles of a triangle:

47°, 68° and 65°

Here all the three angles are less than 90°.

Hence it is a acute angled triangle.

Maria has an annual income of
$32,000. If she saves 8% of her
income, how much money does
she save?

Answers

Answer:

17,810.58

Step-by-step explanation:

A = $ 17,810.58

A = P + I where

P (principal) = $ 10,000.00

I (interest) = $ 7,810.58

Step-by-step explanation:

we can write it in %form:

100% of the total income Annual income= $32,000 (given in question)

1%=$320. (divide both sides by 100 to solve by 1%)

8%=$320×8

(multiply by 8 both side to get money saved)

8%= *$2,560*

Use the data set to answer the question.

{122,132,155,198,213,225,261,280}

What is the mean absolute deviation for the data set?

Enter your answer as a number rounded to the nearest tenth, like this: 42.5

Answers

Final answer:

The mean absolute deviation for the given data set is 45.1.

Explanation:

To find the mean absolute deviation for a given data set, follow these steps:

Find the mean of the data set by adding up all the values and dividing by the total number of values.

For each value in the data set, find the absolute difference between the value and the mean.

Find the average of these absolute differences by summing them up and dividing by the total number of values.

In this case, the data set is {122,132,155,198,213,225,261,280}.

The mean of this data set is 196. The absolute differences from the mean are: 74, 64, 41, 2, 17, 29, 65, 84.

The average of these absolute differences is 45.1. Therefore, the mean absolute deviation for the data set is 45.1.

Two sides of a triangle measure 10 cm and 18 cm. Which could be the measure of the third side of the triangle?
6 cm
8 cm
12 cm
30 cm

Answers

Answer:

12cm is the answer as the two lowest sides must be more in size than its longest side. 10+12=22

Step-by-step explanation:

Final answer:

The possible length of the third side of a triangle with two sides measuring 10 cm and 18 cm, according to the Triangle Inequality Theorem, must be more than 8 cm and less than 28 cm. Therefore, the valid measures among the given options are 8 cm and 12 cm.

Explanation:

The question concerns determining the possible length of the third side of a triangle when the lengths of the other two sides are given. The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Using this theorem, if we have sides measuring 10 cm and 18 cm, the possible lengths of the third side could be more than the difference of the two given sides and less than their sum. Therefore, the third side must be greater than 8 cm and less than 28 cm.

Among the given options, 6 cm is not a possible length because it is less than 8 cm and would not satisfy the Triangle Inequality Theorem. Similarly, 30 cm is not a possible length because it exceeds the sum of the two given sides. However, both 12 cm and 8 cm are possible lengths for the third side since both values are within the allowable range.

Find the perimeter of the triangle below. Then, explain the steps you used to find the perimeter

Answers

The perimeter of the triangle = 60 cm

Solution:

The given triangle is a right triangle.

Base of the triangle = 15 cm

Hypotenuse = 25 cm

Let the unknown side of the triangle be x.

Using Pythagoras theorem,

In right triangle, square of the hypotenuse is equal to the sum of the squares of the other two sides.

[tex]x^2+15^2=25^2[/tex]

[tex]x^2+225=625[/tex]

Subtract 225 from both sides,

[tex]x^2=400[/tex]

Taking square root on both sides, we get

x = 20

The unknown side of the triangle is 20 cm.

The perimeter of the triangle = Sum of the sides of the triangle

                                                 = 15 cm + 25 cm + 20 cm

                                                 = 60 cm

The perimeter of the triangle = 60 cm

ASAP NEED ANSWERS :) PLEASEEEEEEEE

Answers

Answer:

C I think.

Step-by-step explanation:

Answer: Choice A)  The circumference of one of the circles would be greater than the longer side of the rectangle

=============================================

Why this is the answer:

The rectangle has 3 circles packed inside it each with the same radius r. The diameter of each circle is 2r, so 3 of them result in a total rectangle length of 3*2r = 6r.

While one circle has a circumference of C = 2*pi*r = 2*3.14*r = 6.28r

Comparing 6.28r and 6r, we see that 6.28r is larger than 6r

6.28r > 6r

6.28 > 6 ... dividing both sides by r (the inequality sign doesn't change because r > 0)

This is true for any value of r.

Find the perimeter of a rectangle with a base of 24m
and a height of 36m.

Answers

To find the perimeter of a rectangle, you need to add the lengths of the rectangles four sides. Since we have the base and the height this is easy. 24 x 2 + 36 x 2 = 120. Hope this helps!

1 meter = 100 centimeters
Each centimeter is
_or_
of a meter.

Answers

Answer: 1/100 or 0.01

Answer:

1 cm = 0.01 m

Step-by-step explanation:

Divide both sides of 1 meter = 100 centimeters by 100 to obtain an expression for the value of 1 cm:

  1 meter        100 cm

---------------- = -------------

 100                 100

Reducing this, we find that:  1 cm = 0.01 m

Which sequence is geometric and has `1/4` as its fifth term and `1/2' as the common ratio?
O A..., 1, 1/2", 1/4", 1/8"...
B..., `1/4,' 1/2,' '1, 2, ...
O C.., 1/72", 1/36', '1/18', '1/9 ,...
OD..., 8,' '4,' '2,' 1,' ....​

Answers

Answer:

A..., 1, 1/2", 1/4", 1/8"...

Step-by-step explanation:

Distributive property of (-1)(4-c)

Answers

Answer:

[tex]\huge\boxed{(-1)(4-c)=c-4}[/tex]

Step-by-step explanation:

[tex]\text{The distributive proeperty:}\ a(b+c)=ab+ac\\\\(-1)(4-c)=(-1)(4)+(-1)(-c)=-4+c=c-4[/tex]

Other Questions
Which is the best example of a transfer payment?a) social secruity checkb) police officer's paycheckc) fee for renting a park facilityd) moving expense reimbursement An ad for a vacation resort in Virginia begins by stating that the resort has "Dozens of sporting diversions for the entire family." Under that statement, it reads, "Translation: guilt-free golf." Which execution style is seen in this ad? The president of the United States is the head of the executive branch and plays a large role in making America's laws. His job is to approve the laws that Congress creates. When both chambers have approved a bill, they send it to the president. In order for the bill to become law, the president must sign it into law. The president can decide not to sign a bill if he does not want it to become law.What is it called when the president refuses to sign a bill into law? Omar buys five shirts for $22 each, three pairs of pants for $50 each, and six ties for $17 each. What is the mean amount that he spent per article of clothing? A person's birth date consists of the month, day, and year in which that person was born. The domain for a relation R is a set of people. There are at least two people in the group with the same birth date and at least two people with different birth dates. A person x is related to person y under the relation if they have the same birth date or if x's birth date is earlier than y's birth date. Which description correctly characterizes the relation? explain how the evolution of unique australian flora and fauna can be explained by changed environmental conditions following the break up of pangea Chuy wants to buy a new television. The television costs $1,350. Chuy decides to save the same amount of money each week, for 27 weeks. After 8 weeks Chuy saved $440. Which of the following conclusions can you make about Chuy's plan? A. Chuy has a good plan and will have exactly $1,350 saved at the end of 27 weeks. B. Chuy must increase the amount he saves each week in order to meet his goal at the end of 27 weeks. C. Chuy will save more than he needs and will meet his goal in less than 27 weeks. A cylinder has a base diameter of 20 meters and a height of 10 meters. What is its volume in cubic meters, to the nearest tenths place? Which of the following is considered an advantage/benefit of utilizing an ERP system? a. Enables the company to utilize a single centralized database system, thus eliminating duplicate data entries b. Flexible enough that it allows different companies with different business models to mold the new ERP system to fit the company's business model c. Fairly inexpensive to purchase and implement One of Mendels Laws says that the probability of inheriting a maternal allele for a gene does not affect the probability of inheriting the maternal allele for another gene. If each gene has two alleles, what is the probability that one individual inherited the paternal allele at three different genes? Suppose that motorola uses the normal distribution to determine the probability of defects and the number of defects in a particular production process. Assume that the production process manufactures items with a mean weight of 10 ounces. Calculate the probability of a defect and the suspected number of defects for a 1 Live Trap Corporation received the data below for its rodent cage production unit. OUTPUT INPUT 50,500 cages Production time 630 labor hours Sales price: $3.40 per unit Wages $7.40 per hourRaw materials (total cost) $31,000 Component parts (total cost) $15,450 Find the total productivity in Units Sold and Dollars of Sales per Dollar Input. (Do not round intermediate calculations. Round your answers to 2 decimal places.) A child's train whistle replicates a classic conductor's whistle from the early 1900s. This whistle has two open-open tubes that produce two different frequencies. When you hear these two different frequencies simultaneously, you may have the perception of also hearing a lower note, called a difference tone, that is at the same frequency as the beat frequency between the two notes. The two tubes of the whistle are 14 cm and 12 cm in length.Assuming a sound speed of 350 m/s, what is the frequency of this difference tone? what collison turned earth into a molten ball of fiery lava The administrative activities of controlling, directing, and coordinating police personnel, resources, and activities in the service of preventing crime, apprehending criminals, recovering stolen property, and performing regulatory and helping services. Eighteen boys joined a group of p students in the auditorium. If the ratio of boys to girls was then 5:4 write and algebraic expression to represent the number of girls in the auditorium. George Clausen (age 48) is employed by Kline Company and is paid a salary of $42,640. He has just decided to join the companys Simple Retirement Account (IRA form) and has a few questions. Answer the questions for Clausen. (use 2015 tax information) a.What is the maximum that he can contribute into this retirement fund? b.What would be the companys contribution? c.What would be his weekly take-home pay with the retirement contribution deducted(married, 2 allowances,wage-bracket method,and a 2.3%state income tax on total wages)? d.What would be his weekly take-home pay without the retirement contribution deduction? If a polynomial is divided by (x-a) and the remainder equals to zero, then (x-a) is a factor of the polynomial Gerritt wants to buy a car that costs $30,000. The interest rate on his loan is 5.59 percent compounded monthly and the loan is for 7 years. What are his monthly payments Universal Furniture international, Inc. held copyrights on the designs of two furniture lines it sold. The designer had started with public domain sources, but blended elements from different historical periods and created changes until he found the designs aesthetically pleasing. He had blended the elements to create a different look. a major buyer of the lines asked Collezione Europa USA, Inc. to produce a cheaper version. Collezione did not know of the copyrights, but thought the designs were not entitled to copyright protection and could be imitated. it produced furniture so similar that when Universals senior vice president saw the pieces, he thought they actually were Universal pieces. Universal sued Collezione for infringement. Did Collezione have the right to imitate the designs?