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3 years ago

| 19 − 20x | − |20 − 19x |− |x − 10|, if x > 100

Mathematics

1 answer:

denpristay [2]3 years ago

4 0

Answer:

Step-by-step explanation:

since x>100, then 19-20x and 20-19x would obviously be negative and x-10 would be positive.

Therefore we have (20x-19)-(19x-20)-(x-10) = 20x-19-19x+20-x+10 = 11

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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

Solve this problem in your notebook using all four steps. Harvey is 3 times as old as Jane. The sum of their ages is 48 years. F

Reil [10]

Answer:

Jane is 12 and Harvey is 36

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Find the product of 2/3 x 2/3

Rudik [331]

Answer: 4/9

Step-by-step explanation: To multiply fractions, first multiply across the numerators, then multiply across across the denominators.

So here, we have 2 · 2 which is 4 and 3 · 3 which is 9.

So we have 4/9 which is in lowest terms.

This means that 2/3 · 2/3 is 4/9.

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3 years ago

Which of the following measurements, in centimeters (cm), could be the lengths of the sides of a triangle? Select all that apply

natima [27]

5cm I think or you can try 7cm

6 0

3 years ago

I need help with number 5

Zielflug [23.3K]

Answer:

100.34÷2.9=34.6

Step-by-step explanation:

You will need to move the decimal point to the right one place

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3 years ago