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Nataly_w [17]
2 years ago
10

PLEASE HELP with math. 15 POINTS!! i need to write a justification for these 4.

Mathematics
1 answer:
Arte-miy333 [17]2 years ago
8 0

Answer:

hi

Step-by-step explanation:

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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
A merchant has 120 litres and 180 litres of two kinds of oil. He wants to sell the oil by filing the two kinds of equal volumes.
ANEK [815]

Answer:

HCF of 120 and 180 is 60 and hence a measuring tin of 60 litre volume should be bought.

3 0
3 years ago
A jacket usually sells for $66.00. If the jacket is 30% off, and sales tax is 8%, what is the total price of the jacket, includi
RideAnS [48]

Answer:

$50.54

Step-by-step explanation:

$66.00 x .30 = $46.80 x .08 = 3.74 + 46.80 = $50.54

7 0
3 years ago
Evaluate the function f(x)=4•7^x for x=-1 and x2 show your work
boyakko [2]
When you evaluate the function f (x) = 4 • 7 ^ x for x = -1 you get:
 f (-1) = 4 * 7 ^ -1
 f(-1) = 4* 1/7
 f (-1) = 0.5714
 The next part of the question is not clear. If it refers to the function at x = 2 then:
 f (2) = 4 * 7 ^ (2)
 f(2) =4*49
 f (2) = 196
 If it refers to it in x ^ 2
 f (x ^ 2) = 4 * 7 ^ (x ^ 2)
3 0
3 years ago
96.3cm measured to the nearest tenth of a cm
Anarel [89]

Answer:

100cm

Step-by-step explanation:

the tenths of cm are 10,20,30 etc.

6 0
2 years ago
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