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2 years ago

Express 80 as a product of it's prime factors using index notation

Mathematics

1 answer:

RSB [31]2 years ago

3 0

I can't help you with index notation, but i can give you the other part.

80 = 5 X 16 = 5 X $2^{4}$

5 and 2 are prime numbers.

I picked five because 80 is not divisible by 3.

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3 years ago

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What is the length of the apothem of a regular hexagon with 10-cm sides?

vodka [1.7K]

Answer:

The length of apothem of given hexagon is 8.66 cm

Step-by-step explanation:

Apothem of a polygon is given by:

$apothem = \frac{s}{2\ tan\ (\frac{180}{n})}$

Here

s is length of side

tan is trigonometric function

and n denotes number of sides

Given that the polygon is a hexagon

$s = 10cm\\n = 6$

Putting the values in the formula

$apothem = \frac{10}{2\ tan\ (\frac{180}{6})}\\= \frac{10}{2\ tan\ 30}\\=\frac{10}{2 * 0.5773}\\=\frac{10}{1.1546}\\=8.6610\\Rounding\ off\ to\ nearest\ hundredth\\= 8.66\ cm$

Hence,

The length of apothem of given hexagon is 8.66 cm

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2 years ago

A circle has a radius of 12 inches. Find the length of the arc intercepted by a central angle of 120 degrees to the nearest tent

OlgaM077 [116]

Answer:

25.12 inches

Step-by-step explanation:

We have given the radius of the circle =12 inches

The central angle intercepted by the arc =120°

We have to find the length of the arc

So length of the arc is given by $2\pi \times r\times \frac{central\ angle}{360}$

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2 years ago

Find the domain and range

victus00 [196]

Answer:

Domain) all x

Range) 1

Step-by-step explanation:

The domain is the x values and the range is the y values

In this case anything could be x, and y can only be 1

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2 years ago

Amir has a bag of dimes and quarters. He has a total of 31 coins worth $5 20. Let x represent the number of dimes and y represen

yulyashka [42]

Answer:

This is the given information for which system of equations would be used to find out how many dimes and quarters Amir has?

x = dimes x = 0.10 or 0.1

y = quarters y = 0.25

31 coins

worth $5.20 = 5.2

x + y = 31

0.1x + 0.25y = 5.2

Step-by-step explanation:

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2 years ago