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3 years ago

What is 80% rounded to the nearest tenth?

Mathematics

1 answer:

Sauron [17]3 years ago

5 0

Answer:

Step-by-step explanation:

the 80 is the tenth part so you do nothing its a trip up qustion

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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

What does s equal <br>8s-(8+6s)=20

ad-work [718]

S equals 14. First, you need to do a distributive property for negative sign inside the parenthesis. Combine like terms, add 8 to the both sides and divide by 2.

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3 years ago

A _______________________ is a comparison of two measurements in which the denominator has a value of one unit.

Galina-37 [17]

I think the answer is unit rate.

8 0

4 years ago

What is the equivalent exsprssion of √54

FromTheMoon [43]

Answer:

3 $\sqrt{6}$