Why do you think rates are usually written as unit rates?

Mathematics

2 answers:

stellarik [79]3 years ago

6 0

Coooooooooooooooooooooool

Elden [556K]3 years ago

6 0

It's so you can compare two rates

For example,
person A walks 10 miles in 2 hours
person B walks 40 miles in 4 hours

If you want to know who is the faster walker, then you divide the distance over the time
person A's speed = distance/time = 10/2 = 5 miles per hour
person B's speed = distance/time = 40/4 = 10 miles per hour

So we can see that person B is faster as 10 is larger than 5. This is only possible by comparing the unit rates of 5 mph (for person A) and 10 mph (for person B)

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List the sides of each triangle from shortest to greatest

Lelechka [254]

In every triangle, the largest side, is opposite the largest angle.

Also, the smallest side, is opposite the smallest angle.

a. $70^o\ \textgreater \ 60^o\ \textgreater \ 50^o$ so $|RQ|\ \textgreater \ |PR|\ \textgreater \ |PQ|$ ,

because RQ is opposite angle P, the largest,
PR is opposite angle Q , the middle
and PQ is opposite angle R, the smallest.

Greatest side: RQ

b. The sum of the measures of the interior angles of any triangle is 180°,

so

$m(A)+m(B)+m(C)=180^o\\\\50^o+45^o+x=180^o\\\\x=180^o-50^o-45^o=85^o$

thus, m(C) is the largest angle. This means the largest side is the side AB.

Answers:

a) RQ
b)AB

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3 years ago

What is the sum of the infinite geometric series with a1=42 and r=6/5?

Cerrena [4.2K]

This infinite sum is given by

a
S = ------ but ONLY if r<1. Here, r>1, so the infinite sum does not exist.
1-r

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3 years ago

I want to answer this question

Alex73 [517]

-2 is your right answer

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3 years ago