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lisov135 [29]
3 years ago
9

The blue segment below is a radius of 0. What is the length of the diameter of the circle?

Mathematics
1 answer:
Anna11 [10]3 years ago
4 0
B, the answer is 21.2
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Statuary Hall is an elliptical room in the United States Capitol in Washington, D.C. The room is also called the Whispering Gall
dalvyx [7]

Answer: a) \frac{x^{2} }{2352.25 } + \frac{y^{2} }{529} = 1

b) The distance of two foci is 85.4 feet

c) Area = 3502.67 square feet

Step-by-step explanation: a) An ellipse has the equation in the form of:

\frac{x^{2} }{a^{2} }+\frac{y^{2} }{b^{2} } = 1, where a is the horizontal axis and b is the vertical axis.

For the Statuary Hall, a = \frac{97}{2} = 48.5 and b = \frac{46}{2} = 23, so the equation will be

\frac{x^{2} }{2352.25 } + \frac{y^{2} }{529} = 1.

b) To determine the distance of the foci, we have to calculate 2c, where c is the distance between one focus and the center of the ellipse. To find c, as a, b and c create a triangle with a as hypotenuse:

a^{2} = b^{2} + c^{2}

c^{2} = a^{2} - b^{2}

c = \sqrt{48.5^{2} - 23^{2} }

c = 42.7

The distance is 2c, so 2·42.7 = 85.4 feet.

The two foci are 85.4 feet apart.

c)The area of an ellipse is given by:

A = a.b.π

A = 48.5 · 23 · 3.14

A = 3502.67 ft²

The area of the floor room is 3502.67ft².

3 0
3 years ago
Help answer this im struggling omg
ivanzaharov [21]
H^2 + 3.5 = 20^2

That is the formula
7 0
3 years ago
Read 2 more answers
Find the equation of the line parallel to -5x+2y=12 and through (10,21)
Ksivusya [100]

y=5/2x-4

Step-by-step explanation:

im pretty sure

8 0
3 years ago
Read 2 more answers
The length of AC⎯⎯⎯⎯⎯ is 10 inches.
Maru [420]

Answer:

5 in

Step-by-step explanation:

AC = the diameter

FA = the radius

diameter=2*radius

10=2*FA

FA=10/2

FA=5 in

3 0
3 years ago
Read 2 more answers
Find the greatest common factor: 4ab^2 c^4-2a^2 b^3 c^2+6a^3 b^4 c
Tatiana [17]
Well the GCF is the number that can be used to simplify, or that fits in all of your numbers for example this are all small numbers so 2 should fit in all of them 2 fits in 4 two times 2 fits in 2 one time and 2 fits in 6 three times now lets check our variable, to find the GCF of the variable first chekc if they all have the same if they don't u can't get none of taht variebles out, but if they repeat in all like the a u will take out the smallest amount out, for example the a as one in the degree of 1 the other in to the 2 degree and the last one to teh 3 degree well the smallest degree will be 1 so u will only take 1 a out so now ur GCF looks like 2a... Lets check the other variables, b is used in all of them and the smallest degree is b2 so we will take out 2 b's out so now my GCF looks like 2ab2 now lets check our last variable the, the c has the smallest degree of 1 so we will only take 1 c out
this means our final GCF is "2ab2c"

Hoep this helps
6 0
3 years ago
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