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3 years ago

How many positive integer factors of 100! are multiples of 2 or 3?

Mathematics

1 answer:

elena-s [515]3 years ago

3 0

Positive integer factors of 100:

1, 2, 4, 5, 10, 20, 25, 50, 100

Now find if they are a multiple of 2 or 3.

2, 4, 10, 20, 50, 100

That is 6 factors.

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What fraction is equal to the decimal 0.4?

Sholpan [36]

<span>Step 1: 0.4 = 4⁄10</span>
<span>Step 2: Simplify 4⁄10 = 2⁄5</span>

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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

6 0

3 years ago

Cual de estos utiliza la propiedad distributiva para mostrar la forma expandida de la expresion: -4 . (-5 + 3)

mr Goodwill [35]

Respuesta:

Explicación paso a paso:

Si A, B y C son números enteros, según la propiedad distributiva;

A (B + C) = AB + AC

tenga en cuenta que A se distribuyó sobre B y C

Aplicando esto para expandir la expresión dada -4. (-5 + 3)

-4. (-5 + 3)

= -4 (-5) + -4 (3)

= 20 + (-12)

= 20 - 12

= 8

Por lo tanto, la respuesta requerida es 8

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3 years ago

What is D=60 times 3.5

emmasim [6.3K]

Answer:not sure i completly understand, but 60 times 3.5 equals 210

Step-by-step explanation:

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3 years ago

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Yakvenalex [24]

9. Hope this helps!!!

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