Answered

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Clare and Diego each use a ruler to try to determine the slope of line in this right
triangle. Clare says the slope is a ratio of to of . Diego says the slope is
0.67. The exact slope is . Was either student close to the exact value of the slope? Explain
or show your reasoning.

Clare And Diego Each Use A Ruler To Try To Determine The Slope Of Line In This Right Triangle Clare Says The Slope Is A Ratio Of To Of Diego Says The Slope Is 0 class=

Sagot :

facundo3141592

We want to see if Clare and Diego estimations of the slope are correct or not. We will see that Clare overestimated a little bit the slope and Diego got it correct.

How to compare estimations

First, we do know that the exact slope of the triangle is 2/3.

First, Clare says that the slope is given by a ratio of 2.8 : 4.1, now we can take the quotient of these two numbers and see if it is something like 2/3

2.8/4.1 = 0.683

While the actual slope is:

2/3 = 0.666....

So we can see that her measure gives a slope that is a bit larger than the actual one.

For the case of Diego, he says that the slope is 0.67

Note that if we take the actual slope and we round it at the second digit after the decimal point, we get:

0.666... ≈ 0.67

Which is the same thing that Diego got, so his measure is actually correct.

If you want to learn more about slopes, you can read:

https://brainly.com/question/1884491

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