Use the Pythagorean Theorem to find the missing length and then round the result to the nearest tenth. a = 6, b = 3, C =

Mathematics

1 answer:

Inessa05 [86]3 years ago

7 0

Answer:

I got 6.7 but I'm not entirely sure

Step-by-step explanation:

Pythagorean Theorem is A² + B² = C²

So you take 6² + 3² = 45

Take 45 and square root it

The answer should be 6.708, but rounding to the nearest tenth, the answer is 6.7

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A group of friends went to lunch, and their bill was $132.50. An 18% gratuity was added to the bill. What was the total amount o

Serggg [28]

Answer:

$156.35

Step-by-step explanation:

we know that

A group of friends went to lunch, and their bill was $132.50

In this problem

$132.50 represent the 100%

100%+18%=118%

using proportion

Find out the total amount that represent 118%

Let

x ----> the total amount of the bill

$\frac{\$132.50}{100\%}=\frac{x}{118\%}\\\\x=132.50(118)/100\\\\x=\$156.35$

7 0

3 years ago

Can somebody explain step by step ?

lukranit [14]

Answer:

$3m\sqrt[5]{2m^4p^4}$

Step-by-step explanation:

We want to find the fifth root of $486m^9p^4$ . In order to do so, we need to factorise

Let's factorise 486 first:

486 = 2 * 243 = 2 * $3^5$

Ah, we see that $3^5$ can be taken out and becomes 3 outside of the 5th root since the 5th root of

Now look at the variables. We see that since we have p^"4", whose exponent is less than 5, it's impossible for us to write it as a power of 5, so we leave this in the root.

We also have m^"9", which can be written as m^"5" * m^"4". Again, we see that the m^"4" term will have to remain inside the root, but we can take out the m^"5", which becomes m.

Our final answer is thus: $3m\sqrt[5]{2m^4p^4}$ .

<em>~ an aesthetics lover</em>