A fireplace arch is to be constructed in the form of a semi ellipse. The opening is to have the height of 1 foot at the center and a width of 6 feet along the base. The contractor cuts a string of a certain length and nails each end of the string at the foci of the base in order to sketch the outline of the semi ellipse. What is the total length of the string?

Answers

Answer 1

Answer:

6 feet.

Step-by-step explanation:

Remember that the foci of the semi-ellipse are two points in the base of the semi-ellipse from where you can create the full perimeter of the semi-ellipse, basically form there you can sketch it. And the sum of both to the same spot in the perimeter always adds up to the same number.

To calculate it you just need to remember that the major axis is always equal to that rope that you use to draw the semi-ellipse and since the major axis is the same as the base the rope will be 6 feet.


Related Questions

A rental car company charges $25 per day to rent a car and $0.12 for every mile driven. Violet wants to rent a car, knowing that:
She plans to drive 125 miles.
She has at most $150 to spend.

Write and solve an inequality which can be used to determine dd, the number of days Violet can afford to rent while staying within her budget.

Answers

Answer:

The written inequality can be written as 0.12x + 25 <= 150.

Step-by-step explanation:

To solve the inequality you would plug in the 125 miles for x so 0.12(125) + 25 <= 150 0.12(125) would equal 15 so 15 + 25 <= 150 150/40 would equal 3.75 days but you cant have .75 of a day so Violet would have three days max to afford to rent the car while staying in her budget.

Need to know answer to -5(2x-10)=2(x-8)

Answers

Answer:

Exact Form: x=11/2

Decimal Form: x=5.5

Mixed Number From: x= 1 1/2

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:  x = 11/2   or   x = 5.5

Steps:  -5(2x - 10) = 2(x - 8)

Expand: -10x + 50 = 2x - 16

Subtract 50 from both sides: -10x + 50 - 50 = 2x - 16 - 50

Simplify: -10x = 2x - 66

Subtract 2x from both sides: -10x - 2x = 2x - 66 - 2x

Simplify: -12x = -66

Divide both sides by 12:  -12x ÷ 12  =  -66 ÷ 12

Simplify: x = 11/2   or    5.5

Plz mark brainliest:)

A stadium has 45,000 seats. Seats sell for ​$30 in Section​ A, ​$24 in Section​ B, and ​$18 in Section C. The number of seats in Section A equals the total number of seats in Sections B and C. Suppose the stadium takes in ​$1,168,200 from each​ sold-out event. How many seats does section​ A hold?

Answers

Answer:

should be 90 seats each section hope that helped

angle q and angle are a complementary angles. angle s and r are vertical angles. angle q is 38 degrees. what is angle s​

Answers

Step-by-step explanation:

Angles q and r are complementary, so the measure of angle r is 90-38=52 degrees.

Since angles s and r are vertical angles, they are congruent, so angle s measures 52 degrees.

What should be avoided when writing a summary? Select the two correct answers.

Answers

Answer:

plagiarizer, and option

Step-by-step explanation:

Answer:

Giving unnecessary details.

Starting a sentence with because

Using run-on sentence.

Step-by-step explanation:

Any of them are technically accurate.

I hope that helped. :)

#1 What is the volume of a cube with a side length of 1/2 cm? -​

Answers

Answer:

Volume of the cube = (1/2)^3 = (1/8) cubic inch

Hope it helps!!!Brainliest pls!!!

9 + 1.25x > 14 + 0.75x

Answers

Answer:

X>10

Step-by-step explanation:

9+1.25x>14+0.75x

Answer:

x>10

Step-by-step explanation:

what is the slope-intercept equation of the line below?

Answers

Answer:

Are A and B the only possible answers u are given?

suppose f(x)=2x-5,g(x)=-3-1,and h(x) =2x2+x-7 calculate f(-7)​

Answers

Answer:

f(-7) = -19

Step-by-step explanation:

Let us solve the problem

f(x) = 2x - 5

∵ g(x) = -3x - 1

∵ h(x) = 2x² + x - 7

→ We need to find f(-7), that means substitute x in f(x) by -7

∵ x in f(x) = -7

∵ f(x) = 2x - 5

∴ f(-7) = 2(-7) - 5

→ Calculate 2 × (-7)

∴ f(-7) = -14 - 5

→ Add them

f(-7) = -19

On the number line, which two numbers are a distance.20 away from the number 5

Answers

Answer:

4.8 and 5.2

Step-by-step explanation:

5+.2=5.2   5-.2=4.8

Hopes this helps!

For me i got the awnser -15 and 25

PLEASE HELP PLEASE HELP

Answers

Answer:

x = 80

Step-by-step explanation:

the total of interior angles in a quadrilateral (any shape with only 4 sides) is 360

add the angles you're given

105 + 100 + 75 = 280

subtract that number from the total interior angles (360)

360 - 280 = 80

therefore, x = 80

hope this helps! have a lovely day!!

What is the exact definition of the Pythagorean Theorem and who invented it.

Answers

Answer:

Pythagoras invented it

Step-by-step explanation:

a theorem attributed to Pythagoras that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.

Pythagorean Theorem is a useful tool that shows how the sum of the areas of intersecting squares can determine the side length of the right triangle.
Pythagoras was introduced to mathematics by Tales of Miletus and his pupil Anaximander

ZE and ZF are vertical angles with mZE = 8x + 8 and mZF = 2x +38.
What is the value of x?

Answers

Answer:

  x = 5

Step-by-step explanation:

Vertical angles are congruent, so ...

  ∠E = ∠F

  8x +8 = 2x +38

  6x = 30 . . . . . . . . . subtract (2x+8)

  x = 5 . . . . . . . . . . . divide by 6

Answer:

Since ZE and ZF are vertical angles, they are congruent.

8x+8 = 2x+38

8 = 2x-8x+38

8 = -6x+38

8-38 = -6x

-30 = -6x

x = -30/-6

x = 5

It’s timed please help

3.2b-4.7b=3b-3.3

What dose b equal

Answers

Answer:

b=0.733333

Step-by-step explanation:

12x - 32 - 2x + 68
None of the answers match

Answers

Answer:

10x=36

Step-by-step explanation:

some help please
don't pass​

Answers

45

Sally: 9
Will: 9
James:9

Anthony: twice as much as sally (2x9) which is 18

9 + 9 + 9 + 18 = 45

pls help :) I will do anything ​

Answers

Answer:

D. 5

Step-by-step explanation:

I see you plugged in 2 for x :)

So now you have 1/2 (4) +3

Half of 4 is 2. So 2+3 = 5

Slope worksheet. Please help!!!

Answers

Answer:

1) 1/3

2) -1

3) 5/2

Step-by-step explanation:

rise

_____

run

It’s a mess but you get the point


Find the rule. Solve for n.
Х
8,9,11,14
Y

10,12,16,n

Rule:

Answers

Answer:

rule: y = 2x -6n = 22

Step-by-step explanation:

We can look at the ratios of differences between x and y values to determine the nature of the sequence.

x-differences

  9 -8 = 1; 11 -9 = 2;

y-differences

  12 -10 = 2; 16 -12 = 4;

__

The ratios Δy/Δx are 2/1 = 2 and 4/2 = 2. That is, the points lie on a straight line with slope Δy/Δx = 2.

The y-intercept of the line can be found using the formula ...

  b = y -mx

  b = 10 -2(8) = -6 . . . . for (x, y) = (8, 10)

So, the rule relating x and y is ...

  y = 2x -6

The value of n is ...

  n = 2(14) -6 = 22

Subtract.
3/4 - 6/12

Answers

Answer:1/4

hope this helps

Step-by-step explanation:We can't subtract two fractions with different denominators. So you need to get a common denominator. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator.

So we multiply 3 by 12, and get 36.

Then we multiply 6 by 4, and get 24.

Next we give both terms new denominators -- 4 × 12 = 48.

So now our fractions look like this:

36/48 − 24/48

Step 2

Since our denominators match, we can subtract the numerators.

36 − 24 = 12

So the answer is:12/48

Step 3

Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?

To find out, we try dividing it by 2

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

12/48÷ 2 =6/24

Let's try dividing by 2 again

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

6/24÷ 2 =3/12

Let's try dividing by 2 again...

Nope! So now we try the next greatest prime number, 3...

Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:3/12÷ 3 =1/4

Let's try dividing by 3 again

No good. 3 is larger than 1. So we're done reducing.

There you have it! The final answer is:

3/4−6/12=1/4

X-7=8 what is the answer?

Answers

Answer:

15

Step-by-step explanation:

Answer:

x = 15

Step-by-step explanation:

If the circumference of a circle is 25.12 feet, what is the area of the circle?

Answers

the answer would be 50.21

PLS HELP I WILL AWARD BRAINLY

If f(x)=1−x² and g(x)=x²−1, then for which of the following values of b does
f(3b)+8=g(3b)−8?

A) 1
B)√8
C) 8
D) √3
E) 0

Answers

Answer:

A

Step-by-step explanation:

We have the two functions: [tex]f(x)=1-x^2[/tex] and [tex]g(x)=x^2-1[/tex].

And we want to find the value of b such that [tex]f(3b)+8=g(3b)-8[/tex] is true.

Notice that we can multiply f(x) by -1. This yields:

[tex]-f(x)=x^2-1[/tex]

Notice that this is the same as g(x). Therefore:

[tex]-f(x)=g(x)[/tex]

If we substitute 3b for x:

[tex]-f(3b)=g(3b)[/tex]

So, we can go back to our equation. We have:

[tex]f(3b)+8=g(3b)-8[/tex]

Substitute -f(3b) for g(3b):

[tex]f(3b)+8=-f(3b)-8[/tex]

Solve. Subtract 8 from both sides and add f(3b) to both sides:

[tex]2f(3b)=-16[/tex]

Divide both sides by 2:

[tex]f(3b)=-8[/tex]

Now, we can use the function of f(x). Substitute 3b into f(x). So:

[tex]1-(3b)^2=-8[/tex]

Subtract 1 from both sides:

[tex]-(3b)^2=-9[/tex]

Divide both sides by -1:

[tex](3b)^2=9[/tex]

Take the square root of both sides:

[tex]3b=\pm 3[/tex]

Divide both sides by 3. So, the value of b can be:

[tex]b=-1, 1[/tex]

Therefore, our answer is A.

And we're done!

Answer:

A.1

Step-by-step explanation:

f(x) = 1 - x² ⇒ f(3b) = 1 - (3b)² = 1 - 9b²

g(x) = x² - 1 ⇒ g(3b) = (3b)² - 1 = 9b² - 1

f(3b) + 8 = g(3b) - 8 ⇒ (1 - 9b²) + 8 = (9b² - 1) - 8

⇔ 9 - 9b² = 9b² - 9

⇔ 9 + 9 = 9b² + 9b²

⇔ 18 = 18b²

⇔ b² = 1

⇒ b = 1; - 1

if negative y = 0, what would positive y be?

Answers

Answer:

positive y would be also 0

Step-by-step explanation:

y = 0

I don’t understand this. The number line question the first one.

Answers

Answer:

-2 + 5 = 3

Step-by-step explanation:

The arrow represents an addition, you start with -2 and add 5, so you end up at +3.

.. What part of the frontliners are doctors? nurses?​

Answers

Answer:

to me both

Step-by-step explanation:

because the two of them is working in hospital

4a + 3a Please solve I will give brainliest to first answer!

Answers

Answer:

7a

Step-by-step explanation:

How do u work out 65% of 8700

Answers

Step-by-step explanation:

please mark me as brainlest

Please help me please

Answers

Answer:

J(-2,8)

Step-by-step explanation:

the image is at( -2,8)
the new x-coordinate is 7-9=-2, and y-coordinate is unchanged.
Pls mark me as the Brainliest as I really need it!

Abir walks four twelfths of a mile to school. Nadia walks two twelfths of a mile to school. How much farther does Abir walk than Nadia?

eight twelfths of a mile

six twelfths of a mile

four twelfths of a mile

two twelfths of a mile

Answers

Answer:

two twelfths of a mile.

Step-by-step explanation:

4/12 - 2/12 = 2/12

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