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lana [24]
3 years ago
12

How do you find the diameter from just knowing the circumference?

Mathematics
1 answer:
Anastaziya [24]3 years ago
6 0
You can find the answer by dividing the circumference by pi (3.14)
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Write the expression using rational exponents. Then simplify and convert back to radical notation.
ioda

Answer:

The radical notation is 3x\sqrt[3]{y^2z}

Step-by-step explanation:

Given

\sqrt[3]{27 x^{3} y^{2} z}

Step 1 of 1

Write the expression using rational exponents.

\sqrt[n]{a^{m}}=\left(a^{m}\right)^{\frac{1}{n}}

=a^{\frac{m}{n}}:\left({27 x^{3} y^{2} z})^{\frac{1}{3}}

$(a \cdot b)^{r}=a^{r} \cdot b^{r}:(27)^{\frac{1}{3}}\left(x^{3}\right)^{\frac{1}{3}} \cdot\left(y^{2}\right)^{\frac{1}{3}} \cdot(z)^{\frac{1}{3}}$

=$(3^3)^{\frac{1}{3}}\left(x^{3}\right)^{\frac{1}{3}} \cdot\left(y^{2}\right)^{\frac{1}{3}} \cdot(z)^{\frac{1}{3}}$

$=\left(3\right)\left(x}\right)} \cdot\left(y}\right)^{\frac{2}{3}} \cdot(z)^{\frac{1}{3}}$

$=3x \cdot(y)^{\frac{2}{3}} \cdot(z)^{\frac{1}{3}}$

Simplify $3 x \cdot(y)^{\frac{2}{3}} \cdot(z)^{\frac{1}{3}}$

$=3 x \sqrt[3]{y^{2} z}$

Learn more about radical notation, refer :

brainly.com/question/15678734

4 0
3 years ago
Help me solve please
Lisa [10]

Answer:

degree measure of arc AB = 120°

length of arc AB = 40π/3 in.

Step-by-step explanation:

arc AB has the same measure as its central angle.  So, arc AB = 120°

120 is 1/3 of 360, Therefore, the length of arc AB is 1/3 of the circumference.

Therefore, the

length of arc AB = 1/3πd =  1/3π(40) =  

                            = 40π/3 in.

5 0
3 years ago
How to simplify -3 (4×-5y-5×)
Phoenix [80]
-12x + 15y + 15x
3x + 15y
4 0
3 years ago
A line passes through points (2,5) and (5, 14). What is the slope of this line?
topjm [15]

<u>We know that:</u>

Slope of a line = change in y coordinate / change in x coordinate

<u>We are given:</u>

First point = (2,5)

Second point = (5, 14)

<u>Calculating the change in y coordinate:</u>

change in y (also represented by Δy) = second y - first y

Δy = 14 - 5

Δy = 9

<u>Calculating the change in x coordinate:</u>

Δx = second x - first x

Δx = 5 - 2

Δx = 3

<u>Slope of the line:</u>

Slope = (Δy) / (Δx)

Slope = 9 / 3                                              [replacing the values]

Slope = 3

7 0
3 years ago
Write a inequality phrase: you have to be at least 21 years of age
SVETLANKA909090 [29]

Answer:

a\geq 21

Step-by-step explanation:

"At least" is inclusive, so you can be 21 years old.

4 0
3 years ago
Read 2 more answers
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