How to compare ratios?

Mathematics

2 answers:

Cloud [144]3 years ago

8 0

By set it a a fraction colen or reffer it to the word to

iren2701 [21]3 years ago

3 0

You can compare ratios by using a colen, the word "to", and a fraction. Examples

3:4
3 to 4
3/4

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Mrs. Reid wrote the following problem on the whiteboard: Tom and Michele shared 1/4 pound of grapes equally. What fractional par

Citrus2011 [14]

Yes, I do.

You need to divide the number of people, by the number of grapes to get the total amount of grapes each person gets.

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3 years ago

A model rocket is launched with an initial upward velocity of 202 ft/s. The rocket's height h (in feet) after t seconds is given

7nadin3 [17]

<h2>Hello!</h2>

The answer is:

The rocket will reach a height of 82 feet at:

$t1=0.42s$

and

$t2=12.21s$

We are asked to find the value(s) of t for which the rocket's height is 82 feet, so, we need to replace the height value (82 feet) into the given quadratic equation, and then, isolate "t" making the equation equal to 0.

So, writing the quadratic formula, we have:

$\frac{-b+-\sqrt{b^{2} -4ac} }{2a}$

The given function is:

$-16x^2+202x=h$

Substituting h equal to 82 feet, we have:

$-16x^2+202x=82$

$-16x^2+202x-82=0$

Where,

$a=-16\\b=202\\c=-82$

Then, substituting it into the quadratic equation we have:

$\frac{-b+-\sqrt{b^{2} -4ac} }{2a}=\frac{-202+-\sqrt{202x^{2} -4*-16*-82} }{2*-16}\\\\\frac{-202+-\sqrt{202x^{2} -4*-16*-82} }{2*-16}=\frac{-202+-\sqrt{40804-5248} }{-32}\\\\\frac{-202+-\sqrt{40804-5248} }{-32}=\frac{-202+-\sqrt{35556} }{-32}=\frac{-202+-(188.56) }{-32}\\\\t1=\frac{-202+(188.56) }{-32}=0.42\\\\t2=\frac{-202-(188.56) }{-32}=12.205=12.21$