1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
miv72 [106K]
3 years ago
6

A fireplace arch is to be constructed in the form of a semiellipse. The opening is to have a height of 3 feet at the center and

a width of 8 feet along the base. The contractor cuts a string of a certain length and nails each end of the string along the base in order to sketch the outline of the semiellipse.a.) What is the total length of the string?b.) How far from the center should the string be nailed into the base?
Mathematics
1 answer:
USPshnik [31]3 years ago
8 0

Answer:

Step-by-step explanation:

Given

Fireplace is in the form of semi-ellipse  with height of 3 ft from center

Length of base=8 ft

if the arch is in the form of ellipse then it can be considered as horizontal ellipse with 2 a and 2 b be length of major and minor axis

2 a =8

a=4 ft

If contractor cover the whole base

then total length of string=2a =8 ft

(b)String should be nailed at focus

focus of ellipse is a e

where e=eccentricity

e=\sqrt{1-(\frac{b}{a})^2}

e=\sqrt{1-(\frac{3}{4})^2}=\frac{\sqrt{7}}{4}

Focus =ae =\sqrt{7}

Thus string should be nailed at 2.64 m from center

You might be interested in
Help help help #1-3 for a brain list award
kogti [31]
1a) 4:2 = 2

4.98 x 2 = $9.96

1b) 3:2 = 1 1/2

4.98 x 3/2 = $7.47

2a) 9:3 = 3

4.80 x 3 = $14.40

2b) 12:3 = 4

4.80 x 4 = $19.20

3a) 6:2 = 3

15.00 x 3 = $45.00

3b) 5:2 = 2 1/2

15.00 x 5/2 = $37.50
8 0
3 years ago
Curtis played through the next level of a video game. At the beginning of the level, he had 71,486 points. The first time throug
sweet-ann [11.9K]

Answer:

u r gay

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Rewrite this inequality so y is by itself:<br><br> 3x − 4y ≥ 24.
vazorg [7]

Answer:

y \leq 6 + \frac{3x}{4}

Step-by-step explanation:

3x - 4y \geq 24

-3x                 -3x

(-4y \geq 24 - 3x ) / -4

y \leq 6 + \frac{3x}{4}

                 

8 0
2 years ago
En que se parece el Palacio Versalles y el Palacio el escorial​
Kazeer [188]

Answer:

Las primeras y quizá más sobresaliente características del monasterio y palacio real San Lorenzo de el Escorial son la composición geométrica y simétrica del edificio, el uso de los espacios cuadrados, y la preferencia por lo poco ornamentado, esto resulta bastante contrastante con la arquitectura regular de Europa, en la cual, sobre todo en Italia había predilección por las líneas curvas, los espacios ovalados, circulares, asimétricos y la predominación de un estilo muy ornamanetado con la intención de mover intensamente al espectador ante la unión del poder terrenal y espiritual. Existen rasgos en común con la arquitetura barroca foránea, como el uso de lo clásico como modelo riguroso y la necesidad de representar la grandiosidad e imponencia de la nobleza en la magnitud del palacio. Juan de Herrera fue el arquitecto del rey Felipe II, y quien impuso como estilo español arquitectónico barroco lo poco ornamentado, el recuerdo de lo clásico y los edificios de líneas rectas y grandes magnitudes.

3 0
1 year ago
Read 2 more answers
What is the value of the 5 in the number 7.522
joja [24]
Its 0.5. Which would be in fraction form 5/10 meaning its 5 tenths.
8 0
3 years ago
Other questions:
  • a liquid filled glass is being erected as part of a museum attraction. The pyramid is designed to be 15 feet tall with a rectang
    6·1 answer
  • Is 124 a prime number or not explain why (u can do division to)
    5·1 answer
  • BEST ANSWER GETS BRAINIEST !!!!how many millimeters are in a foot ?
    5·1 answer
  • Which is the addend and the sum?
    7·2 answers
  • No one seems to be he;ping with this question so please help and show proof of how u got the answer
    6·1 answer
  • The front yard of a house is 80 feet long and 50 feet wide. The backyard of the house is 50 feet long and 40 feet wide. What is
    14·1 answer
  • Barb, Shelley, and Darcy are college roommates. Barb goes to the library every 6 days, Shelley goes the library every 7 days, an
    11·1 answer
  • Pleaseeeee help asap anyone
    14·2 answers
  • Roberto has a certain number of songs on his MP3 player. Each week, he plans to add 4 more songs. After 5 weeks, he had 40 songs
    9·1 answer
  • Suppose you select 4 skittles at random from the bowl. What is the proba- bility exactly 1 of those skittles is green
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!