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andrey2020 [161]
1 year ago
6

. An arch has the shape of a semi-ellipse. The arch

Mathematics
1 answer:
Gre4nikov [31]1 year ago
4 0

The height of the arch at a distance of 5 feet from the center is approximately 10. 93 feet

<h3>Equation of an eclipse</h3>

It is important to note that the standard equation of an eclipse centered at origin behind the shape of arch is given as;

\frac{x^2}{a^2} + \frac{y^2}{b^2}

Where;

  • x - Horizontal distance, in feet
  • y - Vertical distance, in feet
  • a - Horizontal semi - axis length (half-width), in feet
  • b  - Vertical semi - axis length (height), in feet

If we know that x = 6feet , a = 20 feet and b = 12feet, then the height of the arch at this location is;

y = b . \sqrt{1 + \frac{x^2}{a^2} }

y = 12. \sqrt{1 - \frac{6^2}{20^2} }

y = 10. 92 feet

Thus, the height of the arch at a distance of 5 feet from the center is approximately 10. 93 feet

Learn more about eclipses here:

brainly.com/question/16904744

#SPJ1

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the length of a rectangle is 6 meters less than twice the width. The area of the rectangle is 140m². Find the dimensions of the
AveGali [126]

Answer:

Here's what we know:

A = Lw (Area is length times width)

L = 2w + 6 (length is twice the width plus 6)

A = 140 (Area is 140 m2)

Plug in the variable values:

140 = w(2w + 6)

Distribute:

140 = 2w2 + 6w

Subtract 140:

2w2 + 6w - 140 = 0

Factor out a 2:

2(w2 + 3w - 70) = 0

Divide both sides by 2:

w2 + 3w - 70 = 0

(w + m)(w - n)

When we factor out the quadratic, we know it's going to be a +/- situation because the c value in the quadratic is negative, and the two numbers are going to be three away, the plus next to the 3 meaning that the larger number is going to be positive:

(w + 10)(w - 7) = 0

w = -10, 7

We can't have a negative length, so we can toss out the -10, leaving us with w = 7 meters.

L = 2 * 7 + 6

L = 14 + 6

L = 20

Check:

140 = 20 * 7

140 = 140

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2 years ago
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2/6+5/6 as a whole number
Dvinal [7]

Answer:  2/6+5/6 + 1.167

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Krista invested money in the stock of a foreign company. Lately, the government of the country where the company is based introd
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Answer: legislative risk

Step-by-step explanation:

Legislative risk refers to a form of risk whereby there's likelihood of a business making a loss on an investment due to governmental action.

Legislative risk implies an amendment or an abolition of laws which has a direct impact on investments. Regarding the question, the introduction of the new tax laws and fiscal policies is a legislative risk.

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3 years ago
Can someone help?
babymother [125]

Answer:

  • 0, 3, 8, 15, 24
  • y = x² + 2x

Step-by-step explanation:

<u>The pattern is</u>

  • Step 1  ⇒ 1*3 = 3
  • Step 2 ⇒ 2*4 = 8
  • Step 3 ⇒ 3*5 = 15

<u>Next step would be</u>

  • Step 4 ⇒ 4*6 = 24

<u>Step zero would be</u>

  • Step 0 ⇒ 0*2 = 0

<u>The equation</u>

  • y = x(x + 2) = x² + 2x
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3 years ago
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A line passes through the points (1, 3) and (3, -1) on a coordinate plane. What is the equation of this line in slope-intercept
FromTheMoon [43]

Answer:

y=[-2]x[+][5]

Step-by-step explanation:

\frac{-1-3}{3-1}=\frac{-4}{2} =-2 m= -2

Using the point (1,3) Find the value of b

3= -2(1)+b

3= -2+b

+2  +2

---------

5=b

y= -2x+5

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