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NeTakaya
3 years ago
5

Roció hará un circulo con un diámetro de 22.8 cm cuánto medirá un radio

Mathematics
1 answer:
Kruka [31]3 years ago
7 0

Answer:

r = 11.4 cm

Step-by-step explanation:

The question says that, "Spray will make a circle with a diameter of 22.8 cm how long a radius will measure."

Given that,

The diameter of the circle, d = 22.8 cm

We know that the relation between the diameter and the circle is given by :

d = 2r

Where

r is the radius of the circle

r = d/2

r = 22.8/2

r = 11.4 cm

So, the radius of the circle is equal to 11.4 cm.

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How do you know a radical expression is in simplest form?
Diano4ka-milaya [45]
Answer: To know whether a radical expression is in simplest form or not you should put the numbers and letters inside the radical in terms of prime factors. Then, the radical expression is in the simplest form if all the numbers and letters inside the radical are prime factors with a power less than the index of the radical

Explanation:

Any prime factor raised to a power greater than the index of the root can be simplified and any factor raised to a power less than the index of the root cannot be simplified

For example simplify the following radical in its simplest form:


\sqrt[5]{3645 a^8b^7c^3}

1) Factor 3645 in its prime factors: 3645 = 3^6 * 5

2) Since the powr of 3 is 6, and  6 can be divided by the index of the root, 5, you can simplify in this way:

- 6 ÷ 5 = 1 with reminder 1, so 3^1 leaves the radical and 3^1 stays in the radical

3) since the factor 5 has power 1 it can not leave the radical

4) the power of a is 8, then:

8 ÷ 5 = 1 with reminder 3 => a^1 leaves the radical and a^3 stays inside the radical.

5) the power of b is 7, then:

7 ÷ 5 = 1 with reminder 2 => b^1 leaves the radical and b^2 stays inside the radical

6) the power of c is 3. Since 3 is less than 5 (the index of the radical) c^3 stays inside the radical.

7) the expression simplified to its simplest form is

3ab \sqrt[5]{3.5.a^3b^2c^3}

And you know it cannot be further simplified because all the numbers and letters inside the radical are prime factors with a power less than the index of the radical.
7 0
3 years ago
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2 years ago
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