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egoroff_w [7]
3 years ago
11

PLEASE HELP ME WITH THIS PROBLEM!!

Mathematics
1 answer:
madam [21]3 years ago
4 0
To solve this question, we should know the Triangle Inequality Theorem.

The triangle inequality theorem says something like: The sum of any two sides of a triangle must be greater than than the length of the third side

Making that into a formula, considering the side lengths are a, b, and c.
a + b > c
a + c > b
b+ c > a

So:
Lets test answer choice A.

The sides will then be: 34, 12, and 21

34 + 12 > 21 -> 46 > 12 True
12 + 21 > 34 -> 33 > 34 False

A is not the correct answer choice.

Lets try answer choice B.

The sides for this would be: 34, 12, and 30

34 + 12 > 30 -> 46 > 30 True
12 + 30 > 34 -> 42 > 34 True
30 + 12 > 34 -> 42 > 34 True

So B is correct.

Lets try C to make sure.

The side lengths would be: 34, 12, and 46

34 + 12 > 46 -> 46 > 46 False

So C is wrong.

Lets just make sure D is also wrong, and then we will know for sure if B is the answer :)

Side lengths of answer choice D: 34, 12, and 50

34 + 12 > 50 -> 46 > 50 False

So B is indeed our answer. :)

Another way to solve it is to:

We are given side lengths of 34 and 12.

That means the other side has to be greater than the different of 34 and 12 and less than the sum of 34 and 12.

Lets say that c is the third side, then:

34 -12 < c < 34 + 12
22 < c < 46

And by looking at this range, and the answer choices we know that B) 30 is the answer because the others are at the border and since it isn't greater than or equal to/less than or equal to, we can not include it.Or either the answer choices are out of the range.

So the final answer is \boxed{\bf{B)~30~cm}}
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Find the quotient: (x2−5x+8)÷(x+2)
Aneli [31]

Answer:

Quotient = x - 7

Step-by-step explanation:

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x + 2√x^2 - 5x + 8

Starting with dividing by x

x - 7

x + 2√ x^2 - 5x + 8

Multiplying x by x + 2

x

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-7x + 8

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= +8 -(-14)

= 8+14

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Mason walked on Monday, Wensday, and Friday. Use these clues to find how far he walked each day. These distances were six-eights
krok68 [10]

Answer:

Monday he walked \frac{1}{4}miles

Wednesday he walked \frac{6}{8}miles

Friday he walked \frac{1}{6}miles

Step-by-step explanation:

Given Mason walked on Monday, Wednesday and Friday. These distances were six-eights mile, one-fourth mile, and one-sixth mile. He did not walk the farthest on Monday. He walked less on Friday than Monday. we have to find how far he walked each day.

distances are \frac{6}{8}, \frac{1}{4}, \frac{1}{6} that are 0.75, 0.25 and 0.17 respectively.

Now, he didn't walk farthest on Monday and also walked less on Friday than Monday.

∴ Less distance travelled is \frac{1}{6} which is on friday and then \frac{1}{4} on monday.

Rest distance which is \frac{6}{8} on wednesday.

Hence, Monday he walked \frac{1}{4}miles

Wednesday he walked \frac{6}{8}miles

Friday he walked \frac{1}{6}miles

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3 years ago
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