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Ahat [919]
3 years ago
7

Does the equation t degree straight C equals left parenthesis 32 plus 1.8 t right parenthesis degree straight F work for any rat

ional number? Check that it does with t equals 8 2 over 3 and t equals negative 8 2 over 3.
Evaluate the right side of the equation when t equals 8 2 over 3.



Do not include units (degrees Fahrenheit) in your answer.





x =?
Mathematics
1 answer:
lorasvet [3.4K]3 years ago
5 0

Answer:

  • 16.4 for t = -8 2/3
  • 47.6 for t = 8 2/3

Step-by-step explanation:

We assume you want to evaluate the equation ...

  T = 32 +1.8t

for t = -8 2/3 and t = 8 2/3

The evaluation involves addition and multiplication, both of which are closed for all real numbers, which includes all rational numbers. The equation works for any rational numbers.

Your examples:

  T = 32 +1.8(-8 2/3) = 32 -15.6 = 16.4 . . . . the equation works

  T = 32 +1.8(8 2/3) = 32 +15.6 = 47.6 . . . . the equation works

_____

<em>Additional comment</em>

Some calculators play nicely with decimals and mixed numbers.

The product 1.8(8 2/3) can be found as ...

  (1.8)(8 2/3) = 1.8(26/3) = 0.6(26) = 15.6

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A tunnel is constructed with a semielliptical arch. The width of the tunnel is 60 feet, and the maximum height at the center of
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The height of the tunnel 5 feet from the edge is 13.82 feet option second 13.82 feet is correct.

<h3>What is an ellipse?</h3>

An ellipse is a locus of a point that moves in a plane such that the sum of its distances from the two points called focus adds up to a constant. It is taken from the cone by cutting it at an angle.

We have:

A tunnel is constructed with a semi-elliptical arch. The width of the tunnel is 60 feet, and the maximum height at the center of the tunnel is 25 feet.

2a = 60 (width of the tunnel is 60 feet)

a = 30

And the maximum height at the center of the tunnel is 25 feet

b = 25

Let's assume the center of the ellipse is at the origin.

So the equation of the ellipse:

\rm \dfrac{x^2}{30^2}+\dfrac{y^2}{25^2}=1

Now plug x = a - 5 = 30 - 5 = 25

\rm \dfrac{25^2}{30^2}+\dfrac{y^2}{25^2}=1

After solving:

\rm \dfrac{y^2}{25^2}=1-\dfrac{25}{36}

\rm y^2=\dfrac{6875}{36}

y = ±13.819 ≈ ±13.82

Height cannot be negative

y = 13.82 feet

Thus, the height of the tunnel 5 feet from the edge is 13.82 feet option second 13.82 feet is correct.

Learn more about the ellipse here:

brainly.com/question/19507943

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if youre trying to find what number should replace v in would be: v = -16

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Read 2 more answers
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