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2 years ago

What is the length of BC? Round to the nearest tenth

Mathematics

1 answer:

Degger [83]2 years ago

7 0

Answer:

9.9

use the special triangle formula or use cosine to find BC

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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

2 years ago

If the functions y=9/2x^2 Was placed in the form y=ax^b , where a and b are real numbers, then which of the following is the val

exis [7]

Answer:

$\frac{13}{2}$

Step-by-step explanation:

We have that:

$a=\frac{9}{2} \\b=2$

Now we can find a+b

$\frac{9}{2}+2=\frac{9+4}{2}=\frac{13}{2}$

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2 years ago

X= ? The trainable a below are similar

ratelena [41]

$\frac{x + 7}{3x + 3} = \frac{19}{38} \\ \Leftrightarrow \frac{x + 7}{3x + 3} = \frac{1}{2} \\ \Leftrightarrow 2x + 14 = 3x + 3 \\ \Leftrightarrow x = 11$

6 0

2 years ago

A farmer needs to mix 12 ounces of fertilizer for every 10 pounds of soil. How many pounds of fertilizer will the farmer need to

9966 [12]

The answer is 9
12 ounces x --------------- = ---------------- 10 pounds of soil 120 pounds of soil Set the equation up as a proportion and solve for x: 10x = 1440 ---- ----- 10 10 x = 144 ounces The question asks for the answer in pounds, and 16 ounces = 1 pound. 144/16 = 9

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2 years ago

Justin spends $21.75 on 6 rides and three sodas for his friends. Jerry spends $39.50 on 10 rides and 6 sodas for his friends. Ho

SIZIF [17.4K]

R = rides
S = sodas

6R + 3S = $21.75 —> -12R - 6S = -43.5
10R + 6S = $39.50–>10R + 6S = 39.5

Multiplying Justin’s whole equation by -2 will bring out the 6S’, so we can focus on the cost of one ride.

-2R = -4
Divide both sides by -2
So for one ride, it would cost $2.

To find the cost for one soda, we plug in the cost for a ride.

6(2) + 3S = $21.75
12 + 3S = $21.75
3S = $9.75
So for one soda, it would cost $3.25.

8 0

2 years ago

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