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4 years ago

What us the greatest common factor of 27 and 36?

2 answers:

6 0

Hello!

To find the greatest common factor, you must find all the factors of both numbers and see which similar one is the greatest.

27: (1,27) (3,9)
36: (1,36) (2,18) (3,12) (4,9) (6,6)

As you can see the, the greatest common factor is 9.

I hope this helps!

Ann [662]4 years ago

3 0

Hello!

List the factors of each number

27 ⇒ 1, 3, 9, 27
36 ⇒ 1, 2, 3, 4, 6, 9, 12, 18, 36

The common factors are bold. The greatest common factor is 9

GCF ⇒ 9

Hope this helps! :)

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How to right a radical in exponential form

Law Incorporation [45]

Answer:

$\sqrt[n]{x}=x^{\frac{1}{n}}$

Step-by-step explanation:

The index of a radical is the denominator of a fractional exponent, and vice versa. If you think about the rules of exponents, you know this must be so.

For example, consider the cube root:

$\sqrt[3]{x}\cdot \sqrt[3]{x}\cdot \sqrt[3]{x}=(\sqrt[3]{x})^3=x\\\\(x^{\frac{1}{3}})^3=x^{\frac{3}{3}}=x^1=x$

That is ...

$\sqrt[3]{x}=x^{\frac{1}{3}} \quad\text{radical index = fraction denominator}$

3 0

3 years ago

2.85 as a mixed number

WARRIOR [948]

The number 2.85 can be writen using the fraction 285/100 which is equal to 57/20 when reduced to lowest terms.
It is also equal to 2 17/20 when writen as a mixed number.
You can use the following approximate value(s) for this number:57/20 =~ 2 6/7 (if you admit a error of 0.250627%)2.85 =~ 2 5/6 (if you admit a error of -0.584795%)2.85 =~ 3 (if you admit a error of 5.263158%)

3 0

3 years ago

Read 2 more answers

A pair of jeans cost 35.00. the sales tax is 7%. how much is the sale tax?

KonstantinChe [14]

Answer:

2.45

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

An element with a mass of 320 grams decays by 5.1% per minute. To the nearest tenth of a minute, how long will it be until there

HACTEHA [7]

Answer:

X=9

Step-by-step explanation:

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3 years ago

An acute triangle has sides measuring 10 cm and 16 cm. The length of the third side is unknown.

saveliy_v [14]

Answer: Choice B

12.5 < x < 18.9

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Explanation:

We have a triangle with these side lengths:

a = 10
b = 16
c = x = unknown

Let's assume that b = 16 is the largest side of this triangle.

By the converse of the pythagorean theorem, we need $b^2 < a^2+c^2$ to be true in order for an acute triangle to happen.

So,

$b^2 < a^2 + c^2\\\\c^2 > b^2 - a^2\\\\c > \sqrt{b^2-a^2}\\\\x > \sqrt{16^2-10^2}\\\\x > \sqrt{156}\\\\x > 12.4899959967968 \ \text{(approximate)}\\\\x > 12.5$

Now let's consider the possibility that the missing side x is actually the longest side.

Using the same theorem as before, we would say,

$c^2 < a^2 + b^2\\\\c < \sqrt{a^2 + b^2}\\\\x < \sqrt{10^2 + 16^2}\\\\x < \sqrt{356}\\\\x < 18.8679622641132 \ \text{(approximate)}\\\\x < 18.9\\\\$

We found that x > 12.5 and x < 18.9

This is the same as saying 12.5 < x and x < 18.9

Put together, they form the approximate answer of 12.5 < x < 18.9

6 0

3 years ago