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3 years ago

{5/7 + 3/14} + 4/7 what is the answer, Please help!

1 answer:

8 0

5/7+3/14= 10/14+3/14
10/14+3/14=13/14
13/14+4/7=13/14+8/14
13/14+8/14=21/14
21/14=3/2

The answer is 3/2.

I hope that helps!

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3 years ago

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gogolik [260]

Answer:

A) By using the Pythagorean Theorem, we will see that $8^2 + 15^2 = 17^2$ . If we simplify it, we will find that the hypotenuse of Δ $ABC = 17$

B) approximately $18.79$

Step-by-step explanation:

A) In all honesty, you don't really need to look at ΔACD at all for this one. Just use the Pythagorean Theorem (like previously stated) and solve!

***Pythagorean Theorem is $leg^2 + leg^2 = hypotenuse^2$

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3 years ago

What is the simplified form of √10000x^64 ? 5000x^32 5000x^8 100x^8 100x^32

denis23 [38]

Answer:

Option (d) is correct.

$\sqrt{10000x^{64}}=100x^{32}$

Step-by-step explanation:

Given : Expression $\sqrt{10000x^{64}}$

We have to write a simplified form of the given expression $\sqrt{10000x^{64}}$

Consider the given expression $\sqrt{10000x^{64}}$

$\mathrm{Apply\:radical\:rule\:}\sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b},\:\quad \mathrm{\:assuming\:}a\ge 0,\:b\ge 0$

$=\sqrt{10000}\sqrt{x^{64}}$

Factor 10000 as $10000=100^2$

$\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a^n}=a$

$\sqrt{100^2}=100$

also, $\mathrm{Apply\:radical\:rule\:}\sqrt[n]{a^m}=a^{\frac{m}{n}},\:\quad \mathrm{\:assuming\:}a\ge 0$

We have,

$\sqrt{x^{64}}=x^{\frac{64}{2}}=x^{32}$

Thus, $\sqrt{10000x^{64}}=100x^{32}$

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