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Sati [7]
3 years ago
15

Devisibility rules for 3, 6, and 9

Mathematics
1 answer:
fenix001 [56]3 years ago
3 0

Answer:

<u>★</u><u> </u><u>Divisibility</u><u> </u><u>rule</u><u> </u><u>for</u><u> </u><u>3</u><u> </u><u>-</u>

If the sum of all the digits divisible by 3 then the number is divisible by 3.

Here, we take an example for better understanding -

<u>Example</u><u> </u><u>1</u><u> </u><u>-</u> 3525

Add up the digits - 3 + 5 + 2 + 5

→ 15

As, 15 is divisible by 3. So, 3525 is a factor of 3.

★<u> </u><u>Divisibility</u><u> rule</u><u> </u><u>for</u><u> </u><u>6</u><u> </u><u>-</u>

A number is to be divisible by 6 , if the number is also divisible by 2 and 3.

<u>Exampl</u><u>e</u><u> </u><u>2</u><u> </u><u>-</u> 132

Add up the digits = 1 + 3 + 2 = 6

As, 6 is divisible by 2 and it's also divisible by 3. Then, 132 is a factor of 6.

★ <u>Divisibility</u><u> rule</u><u> for</u><u> </u><u>9</u><u> </u><u>-</u>

If the sum of all the digits is divisible by 9 then the number is divisible by 9. Just like we'd in 3.

<u>Example</u><u> </u><u>3</u><u> </u><u>-</u> 1052

Add up the digits - 10 + 5 + 2 = 17

As, 17 is not divisible by 9. So, 1052 is also not divisible by 9.

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13x^-5 y^0/5^-3 z^-10
VMariaS [17]

Answer:

\frac{1625z^{10}}{x^{5}}

Step-by-step explanation:

We want to simplify:

\frac{13x^{-5}y^0}{5^{-3}z^{-10}}

We rewrite as positive index to get:

\frac{13y^05^{3}z^{10}}{x^{5}}

This simplifies to

\frac{13*1*125z^{10}}{x^{5}}

This will finally give us:

\frac{1625z^{10}}{x^{5}}

We cannot simplify further.

Hence the simplest form is \frac{1625z^{10}}{x^{5}}

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2 years ago
What is 10% of 14???
valentinak56 [21]

Answer: 1.4

Step-by-step explanation:

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2 years ago
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A lighthouse operator sights a sailboat at an angle of depression of 12 degrees. If the sailboat is 80m away, how tall is the li
mart [117]
Check out the attached image for the drawing of how this would look. The drawing isn't 100% needed but it helps I think. 

Based on the figure shown in the attachment, we have a right triangle with the adjacent leg of 80 (this leg is closest to the bottom 12 degree angle) and an opposite leg of h

In short,
adjacent = 80
opposite = h

We'll use the tangent rule
tan(angle) = opposite/adjacent
tan(12) = h/80
80*tan(12) = h
h = 80*tan(12)
h = 17.0045249336018  <<-- see note below

So the lighthouse is roughly 17.0045249336018 meters tall

Answer: 17.0045249336018

Note: Make sure you are in degree mode. The value is approximate. Round this answer however you need to

4 0
3 years ago
Helpppp!!
Marysya12 [62]
For the experimental probability you must record the data that you collect by flipping your own coin, then you must find the probability of landing on either side. For example, the theoretical probability for the coin toss it will be 50% chance for either side. For the experimental it depends on your own results.

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3 years ago
How can you change the dimensions of the rectangle so that the ratio of the length to the width stays the same, but the perimete
Lady bird [3.3K]

Answer:

L = 62.5cm; B = 30cm

Step-by-step explanation:

P = 2 (L+W): L=25cm; W=12cm

=2 (25+12)

=50+24

P = 74cm

For a congruent rectangle with P = 185cm

A: 74 = 2 (25 + 12)

B: 185 = 2( ? + ?)

Since A/B are congruent;

185/75 = 2.5

B = 2 (2.5* (25 + 12)

= 2 ( 62.5 + 30)

= 125 + 60

= 185

Hence, B: L = 62.5cm; B = 30cm

185cm = 2 (62.5 + 30)

8 0
3 years ago
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