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Leni [432]
3 years ago
5

Find the indicated side of the triangle. b 7 45° a b = [?]VO

Mathematics
1 answer:
vodka [1.7K]3 years ago
8 0

Answer:

7√2

Step-by-step explanation:

Thank to the give angle we can say that the two legs are congruent

b = \sqrt{7^2 + 7^2} = \sqrt{49+49} = \sqrt{98}

98/2 = 49

49/7 = 7

7/7 = 1

98 = 7^2 x 2

√98 = 7√2

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elixir [45]

Answer:

Hey there!

15 is composite. A composite number has factors other than one and itself. 15 has factors 3 and 5.

Thus, 15 is composite.

Let me know if this helps :)

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icang [17]

Answer:

7 times

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3 years ago
Explain why any of the four operations placed between two terms 5 and -3 sqrt (8) will result in an irrational number
Gnoma [55]

Sum/difference:

Let

x = 5 + (-3\sqrt{8}) = 5-3\sqrt{8}

This means that

3\sqrt{8} = 5-x \iff \sqrt{8} = \dfrac{5-x}{3}

Now, assume that x is rational. The sum/difference of two rational numbers is still rational (so 5-x is rational), and the division by 3 doesn't change this. So, you have that the square root of 8 equals a rational number, which is false. The mistake must have been supposing that x was rational, which proves that the sum/difference of the two given terms was irrational

Multiplication/division:

The logic is actually the same: if we multiply the two terms we get

x = -15\sqrt{8}

if again we assume x to be rational, we have

\sqrt{8} = -\dfrac{x}{15}

But if x is rational, so is -x/15, and again we come to a contradiction: we have the square root of 8 on one side, which is irrational, and -x/15 on the other, which is rational. So, again, x must have been irrational. You can prove the same claim for the division in a totally similar fashion.

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Which triangle is similar to triangle T
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Answer:

2nd one from the left.

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it has the same angle measures.

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