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3 years ago

Find the unknown side length, x. Write your answer in simplest radical form.

Mathematics

1 answer:

ruslelena [56]3 years ago

7 0

The side x is the hypotenuse of the triangle.

And we know that the leg that is labeled with a line is also 6.

Use the Pythagorean theorem and solve for x.

a² + b² = x²
3² + 6² = x²
9 + 36 = x²
45 = x²
√45 = x
√9×5 = x
√9√5 = x
3√5 = x

The answer is 3√5

Hope this helps :)

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The square root of a product of two positive real numbers is the product of their square roots. Write an algebraic expression ba

Sliva [168]

Step-by-step explanation:

The square root of a product of two positive real numbers is the product of their square roots.

Let 4 and 5 be the two positive real number. The square root of a product of 4 and 5 is the product of their square roots.

$\sqrt{4\cdot 5}$

$=\sqrt{20}$

$=\sqrt{2^2\cdot \:5}$

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

$=\sqrt{5}\sqrt{2^2}$

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

$\sqrt{2^2}=2$

Therefore,

$\sqrt{4\cdot \:5}=2\sqrt{5}$

NOW SOLVING BY APPLYING RADICAL RULE such that

$\sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b}$

$\sqrt{4\cdot 5}=\sqrt{4}\sqrt{5}$

$\sqrt{2^2}=2$

$=2\sqrt{5}$

Hence, The square root of a product of two positive real numbers is the product of their square roots.

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3 years ago

The p/q form of 0.719 where p and q are integers is

BigorU [14]

Answer:

p/q=0.719

p/q =719/1000

That's your answer

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3 years ago

Round the nearest hundredth. 53.789

hammer [34]

Answer: 53.79

Step-by-step explanation:

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HELP

PIT_PIT [208]

Try your best but I think the answer is the first one.

50 + 4 = 54

MARGIN OF ERROR - 4%

54 + 4 = 58

THE FIRST SHOULD BE YOUR ANSWER.

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3 years ago