A Carpenter wants to build a elliptical table top from a 4 foot to by 6 foot sheet of plywood. she traces out the ellipse using a string attached to thumbtacks located at the foci of the ellipse.

A Carpenter Wants To Build A Elliptical Table Top From A 4 Foot To By 6 Foot Sheet Of Plywood. She Traces

Answers

Answer 1

The thumbstacks have an in-between distance of [tex]2\sqrt{5}[/tex] feet.

The distance between any focus and the center of the ellipse ([tex]c[/tex]), in feet, is described by the following expression:

[tex]c = \sqrt{a^{2}-b^{2}}[/tex] (1)

Where:

[tex]a[/tex] - Major semiaxis length, in feet.[tex]b[/tex] - Minor semiaxis length, in feet.

If we know that [tex]a = 3\ft[/tex] and [tex]b = 2\,ft[/tex], then the distance between focus and center is:

[tex]c = \sqrt{3^{2}-2^{2}}[/tex]

[tex]c = \sqrt{5}[/tex]

The distance between the thumbstacks is described by this expression:

[tex]d = 2\cdot c[/tex]

[tex]d = 2\sqrt{5}\,ft[/tex]

The thumbstacks have an in-between distance of [tex]2\sqrt{5}[/tex] feet.

We kindly invite to check this question on ellipses: https://brainly.com/question/14281133


Related Questions

plz help i give brainliest and points

Answers

Answer:

Step-by-step explanation:

To find this, lets make a equation.

We have the expression 8b - 27, lets set this equal to -11 and solve:

8b -27 = -11

Now lets solve.

Lets add 27 to both sides to get 8b alone:

8b = 16

Now lets divide by 8:

b = 2

So our answer is 2.

Hope this helps!

I believe it’s 2, I’m not completlyyyyyy sure

What number is furthest from 0 on a number line? 16 or 18?

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18. _______________________________________

can someone help me 5/4/7 + 1/3/4

Answers

Please check the attached image for the steps.

Answer = 11/42 = 0.261

____

RainbowSalt2222 ☔

please help me with this math problem

Answers

Step-by-step explanation:

the group of x friends is SPLITTING the cost of $50. Therefore to find the amount each person pays after the split, you will divide 50 by the amount fo friends (x). Each person is also paying an extra $5 for dessert. Therefore, you will be adding that 5 to everyone's total after splitting.

So the equation you will get is

[tex]a(x) = \frac{50}{x} + 5[/tex]

Answer:

A(x)= (50/x)+5

Step-by-step explanation:

50 bucks divided by the number of people in the group which is X and each must also pay 5 bucks for dessert.

Find the value of X.

Answers

Answer:

x=28

Step-by-step explanation:

90-33=57

2x+1=57

2x=56

x=28

.Learning Task 2: Get the quotient of each item up to the nearest ten thousandths place. Then, round the decimals to their nearest thousandths. Number 1 is done for you.

1.45÷8= 5.6250 -5.625------- example

4.93÷9 = _____ - ______

2. 77÷9 = _____ - ______

5.88 ÷7= _____ - ______

3.81÷7= _____ - ______

6.55÷8=_____ - ______​

sorry if the numbers is a bit confusing

Answers

The responses for the quotient given to the nearest thousandths are

presented in the order of the of the questions as follows;

[tex]Question \ 4) \ \displaystyle \underline{\frac{93}{9} = 10.3333 \approx 10.333}}[/tex]

[tex]Question \ 2) \ \displaystyle \underline{\frac{77}{9} = 8.5555 \approx 8.556}[/tex]

[tex]Question \ 5) \ \displaystyle \underline{\frac{88}{7} = 12.4285 \approx 12.429}[/tex]

[tex]Question \ 3) \ \displaystyle \underline{\frac{81}{7} = 11.5714\approx 11.571}[/tex]

[tex]Question \ 6) \ \displaystyle \underline{\frac{55}{8} = 6.8750\approx 6.875}[/tex]

Reasons:

4. The division is presented as follows;

[tex]\displaystyle \mathbf{\frac{93}{9}}= \frac{90 + 3}{9} = 10 + \frac{1}{3} = 10.\overline 3[/tex]

Given that we have;

[tex]\displaystyle \frac{1}{3} = 0.\frac{10}{3} =0.3 \frac{10}{3} = 0.3333[/tex]

Therefore;

[tex]\displaystyle \underline{\frac{93}{9} = 10.3333 \approx 10.333}[/tex]

2. The division is presented as follows;

[tex]\displaystyle \mathbf{\frac{77}{9}} = \frac{72 + 5}{9} = 8 + \frac{5}{9} = 8. \frac{50}{9} = 8.5\frac{50}{9} = 8.55\frac{50}{9} = 8.555\frac{50}{9} = 8.5555[/tex]

Therefore;

[tex]\displaystyle \underline{\frac{77}{9} = 8.5555 \approx 8.556}[/tex]

5. The division is presented as follows;

[tex]\displaystyle \mathbf{\frac{88}{7}} = \frac{85 + 3}{7} = 12 + \frac{3}{7} = 12. \frac{30}{7} = 12.4\frac{20}{7} = 12.42\frac{60}{7} = 12.428\frac{40}{7} = 12.4285\frac{5}{7}[/tex]

[tex]\displaystyle \underline{\frac{88}{7} = 12.4285 \approx 12.429}[/tex]

3. The division is presented as follows;

[tex]\displaystyle \mathbf{\frac{81}{7}} = \frac{77 + 4}{7} = 11 + \frac{4}{7} = 11. \frac{40}{7} = 11.5\frac{5}{7} = 11.57\frac{10}{7} = 11.571\frac{30}{7} = 11.5714\frac{20}{7}[/tex]

Therefore;

[tex]\displaystyle \underline{\frac{81}{7} = 11.5714\approx 11.571}[/tex]

6. The division is presented as follows;

[tex]\displaystyle \mathbf{\frac{55}{8}} = \frac{48 + 7}{8} = 6 + \frac{7}{8} = 6. \frac{70}{8} = 6.8\frac{60}{8} = 6.87\frac{40}{8} = 6.875\frac{0}{8} =6.8750[/tex]

Therefore;

[tex]\displaystyle \underline{\frac{55}{8} = 6.8750\approx 6.875}[/tex]

Learn more here:

https://brainly.com/question/17913153

If 35 men can reap a field in 8 days; in how many days can 20 men reap the same field?​

Answers

Answer:

87.5 days

Step-by-step explanation:

35/8=4.something

that answer*20=87.5

b. (a+b)x 1= (a+b)
What property is this?

Answers

commutative property
Identity property of multiplication

10x + 8 = 3(x – 2)
10x + 8 = 3x

Answers

Answer:

dfq

Step-by-step explanation:

1.

10x + 8 = 3(x – 2)

10x + 8 = 3x - 6

10x - 3x = -8 -6

7x = -14

x = -14/7

x = -2

2.

10x + 8 = 3x

10x - 3x = -8

7x = - 8

x = -8/7

What does the A stand for in the star problem solving process

Affect

Agree

Add

Act

Answers

The answer is D. Act.

STAR stands for Situation, Task, Action, Result.

Answer:

act

Step-by-step explanation:

A stands for act. Act on your plan and work the problem out.

Please help me with this homework

Answers

answers: 1)208 2)284 3)405 4)210
1. 52 x 4 = 208
2. 71 x 4 = 284
3. 81 x 5 = 405
4. 42 x 5 = 210

Hope this helps

Brainliest is appreciated :)

4 2/3 + 6 1/5
1 13 /15

10 13/15

13 5/10

Answers

HOPE IT IS HELPFUL TO YOU ☺️

Answer:

4+6+ (10/15+3/15):10 13/15

A) (2x-10)(3x+1)
B) (3x+2)(2x-5)
C) (2x+5)(3×+1)
D) (2x+1)(3×+5)
E) None of the above. The quadratic f(x) = 6x] + 11X - 10
would have which of the following
factors?

Answers

Answer:

B

Step-by-step explanation:

(3x+2)(2x-5)

Brainliest?

Which number is a rational number? OA √15 OB. 2.6457513110... O c. 17.156 OD. 3√85​

Answers

Answer:

"O c. 17.156"

Step-by-step explanation:

    A is not a rational number because it cannot be written as a fraction [with two integers] or an integer (the square root of 15 is equal too 3.87298334...)

   B is not a rational number because it also goes on forever, just like A.

    C is a rational number because it does not go on forever.

    D is like A and B, it goes on forever.

Have a nice day!

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Mason gave the waiter a $14.58 tip, which was 15 percent of the dinner bill. What was the amount of the dinner bill before he added the tip?
$9.72
$21.87
$97.20
$218.70

Answers

Answer:

$97.20

Step-by-step explanation:

97.20 x 0.15 = 14.58

Multiply the total by 15 percent, giving you the $14.58 tip, proving it to be correct.


A 8th grade student has 5 years
to save up enough money to
pay for her 4 years of college.
She is estimating each year will
cost $7,500. If she has $5,000
to start a savings account, then
based on the table, what is her
minimum monthly deposit
needed to reach her goal?
Initial Balance
(dollars)
$5,000
$5,000
$5,000
$5,000
Monthly Deposit
(dollars)
$100
$200
$300
$400
Account Value in
Five Years
(dollars)
$12,273
$18,737
$25,202
$31,667

Answers

Answer:

$400

Step-by-step explanation:

If college costs $7,500 per year, and she's going to go for 4 years, then she needs to save 4 x $7,500  = $30,000 total.  From the table, she would need to deposit $400 per month in order to have $31,667 in time for college.

Answer: $200

Step-by-step explanation:

Because in the table the minimum number is in the month when she save $200.

Initial balance is $5000

Account in value in five years is $18,737

What is the estimated quotient of 8 455 divided by 17? *.

Answers

Answer:

34.7647058824

Step-by-step explanation:

given g(x)=-2x+1 solve for x when g (x)=5

Answers

Answer:

x = -2

Step-by-step explanation:

g(x) = 5

-2x + 1 = 5

-2x  = 5 - 1

-2x = 4

x = 4/-2

x = -2

>> Answer

_________

[tex]\:[/tex]

g(x) = 5

5 = -2x + 1

5 - 1 = -2x

4 = -2x

x = -2

if 5/6 of the 30 motorcycles were new, how many motorcycles were used​

Answers

Answer:

5 Motorcycles are used

30÷6= 5

5×5= 25

30-24=5

so the answer is 5

Answer:

5 out of the 30 motorcycles are used

Step-by-step explanation:

First, we should look at what we know. We know that there are 30 motorcycles in total. As a fraction, that'd be 30/30. We also know that of that 30, the equivalent of 5/6 are brand new.

Our next step is to figure out how much 5/6 is out of 30. Since we know that in total there 30/30 motorcycles, we need to convert 5/6 to have a denominator of 30. So what times 6 equals 30.

30 ÷ 6 = ?    opposite of 6 x ? = 30

5                   divide

So now we now that 6 times 5 equals 30. What we do to the denominator we must do to the numerator.

[tex]\frac{5}{6}[/tex] × [tex]\frac{5}{5}[/tex]    

[tex]\frac{25}{30}[/tex]

Now we know that 25 of the 30 motorcycles are new and all we need to do is subtract that 25 from the total 30 to get 5. This tells us that 5 of the total motorcycles are used.

I hope this helped :)

What is the area of this triangle?

Answers

Answer:

all side equal is formula of triangle.But i think in our class 7 book is traingle formula is all side equal

Given f(x) = 5x + 4 , find f(-10)

Answers

Answer:

-46

Step-by-step explanation:

5 x -10 + 4 = -50 + 4 = -46

Em uma avaliação que vale até 5 pontos, João tirou 4,2 pontos. Quanto João teria tirado caso a prova valesse 10 pontos?

Answers

Answer:

8.4 pontos

Step-by-step explanation:

4.2/5

multiplique o numerador e o denominador por 2

8.4/10

Mary has 2 1/5 hours before she needs to meet her friend. She needs to take care of 7 chores before then. How much time can she allocate to each chore?

Answers

around 19 minutes ^^

(18.85 minutes)

Mary can allocate to each chore around 18.85 minutes.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

It is given that Mary has 2 1/5 hours before she needs to meet her friend. She needs to take care of 7 chores before then.

Hence, we get

2 and 1/5 hours = 132 minutes (120 + 12)

thus, Mary will have 132/7 = 18.85714285714286 minutes for each chore.

Or around 18.85 minutes for each chore

Therefore, she can allocate to each chore around 18.85 minutes.

Learn more about the unitary method;

https://brainly.com/question/23423168

#SPJ2

Your above-ground pool has sprung a leak, and you do not have a way to fix it. At 12 noon, the water in the pool is 5 feet deep (in other words, the water level is 5 feet above the ground). You are not sure how quickly the pool level is falling, so you check again after 40 minutes and see that the height of the water level is now feet. You notice that there is a relationship between the time that has passed to the height of the water level in the pool.

Answers

Answer:

Step-by-step explanation:

12 ≤ 4n < 28

SOLVE THE COMPOUND INEQUALITY​

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

[tex] \boxed{ \boxed{3 \leqslant n < 7}}[/tex]

The equivalent expression is ~

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

Let's solve ~

[tex]12 \leqslant 4n < 28[/tex]

Now divide each term with 4

[tex]12 \div 4 \leqslant 4n \div 4 < 28 \div 4[/tex]

[tex]3 \leqslant n < 7[/tex]

[tex] \sf \: 12 ≤ 4n < 28[/tex]

Divide all parts by 4

[tex]\sf \longmapsto \frac{12}{4}≤ \frac{4n}{4} < \frac{28}{4} [/tex]

[tex] \sf \longmapsto3≤n<7[/tex]

Result:

[tex]\boxed{ \sf 3 \leqslant n<7}[/tex]

Number line attached

Which of these expressions equal -8? Check all that apply. 16 x -1/2, -16/3 x 1/2, -1.25 x 6.4, -18 x 1/2, -2x-4, -32 (1/4), 12 x -1/3, -32/1/4), -1.75 x 4.6​

Answers

Answer:

16×-1/2, -1.25×6.4

Step-by-step explanation:

16×-0.5

=-8

-1.25×6.4

=-8

Finding slope from tables and

Answers

Answer:

m=-5/2 b=2

Step-by-step explanation:

It goes over 2 times ever time it goes down 5 times. and when the y is 0 the x is 2

i need help on i ready what is the length of the breathing tube

Answers

Answer:

The average size of the tube for an adult male is 8.0, and an adult female is 7.0,

The typical depth of the endotracheal tube is 23 cm for men and 21 cm for women

ACCURATE ANSWER=BRAINLIST
The first four terms of a sequence are shown.

7, 25, 43, 61, ...
Which of the following expressions can be used to find the nth term of the sequence?

Question 3 options:

7+18n

18+7n

18+7(n−1)

7+18(n−1)

Answers

Answer:

7+18n

might be the answer sorry if I am wrong

It’ be 7 + 18(n-1)

I plugged in the fourth term for n, and only that expression gave the correct answer of 61

Los asistentes, hoy, a la reunión semanal de un club social se pueden agrupar por parejas para bailar, por tríos para hacer manualidades, y de 4 en 4 para jugar bingo. En ninguno de esos casos queda nadie sin grupo. ¿Cuántas personas son si casi llegan a 25?

Answers

En la reunión semanal había 24 personas.

Los asistentes, hoy, a la reunión semanal de un club social se pueden agrupar por parejas para bailar, por tríos para hacer manualidades, y de 4 en 4 para jugar bingo, y en ninguno de esos casos queda nadie sin grupo, para determinar cuántas personas son si casi llegan a 25 se debe realizar el siguiente cálculo, obteniendo el múltiplo común entre estos números:

2 - 4 - 6 - 8 - 10 - 12 - 14 - 16 - 18 - 20 - 22 - 243 - 6 - 9 - 12 - 15 - 18 - 21 - 244 - 8 - 12 - 16 - 20 - 24

Por lo tanto, en la reunión semanal había 24 personas.

Aprende más en https://brainly.com/question/3113448

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