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trasher [3.6K]
2 years ago
9

Choose all the numbers that are common multiples of 3 and 12.

Mathematics
1 answer:
spayn [35]2 years ago
6 0
<h3>Answers: 48 and 72</h3>

=========================================================

Explanation:

The number 12 is a multiple of 3 because 3*4 = 12.

So when looking for common multiples of 3 and 12, we simply need to look at multiples of 12.

The multiples of 12 are:

  • 12, 24, 36, 48, 60, 72, 84, 96, 120, ...

We see that 48 and 72 are on the list. The values 21, 27, 63, 81 are not on the list, so cross them out.

Now we could keep that list of multiples going to see if 844 is on there or not. A better method is to divide 844 over 12. If we get a whole number, then it's a multiple of 12.

844/12 = 70.333 approximately.

This shows that 844 is <u>not</u> a multiple of 12. So we cross 844 from the list.

Only 48 and 72 are multiples of 12 (and also multiples of 3).

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v = 53.76cm3
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An architect wants an artistic flair to the house he is building, so he designs windows that are three fourths of a circle in sh
larisa86 [58]

The amount of rim needed for each window is 141.4 in

<h3>How to find the length of the outer rim?</h3>

Since the outer rim is the length of an arc, we use the formula for length of an arc of a circle.

<h3>What is an arc?</h3>

An arc is part of section of the circumference of a circle

<h3>What is the length of an arc?</h3>

So, length of arc, L = Ф/360 × 2πR where

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  • R = radius of circle.

Gven that for the window rim

  • Ф = angle of the rim = 270° and
  • R = radius of the rim = 30 in

Substituting the values of the variables into the equation for L, we have

L = Ф/360 × 2πR

L = 270°/360° × 2π × 30 in

L = 3/4 × 2π × 30 in

L = 3/2 × π × 30 in

L = 3 × π × 15 in

L = 45π in

L = 141.37 in

L ≅ 141.4 in

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Learn more about length of an arc here:

brainly.com/question/8402454

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7 0
2 years ago
a bag contains 10 white balls and 14 red balls.a ball is taken out of the bag,what is the probability that it is a red ball​
Anit [1.1K]

Answer:

7/12

Step-by-step explanation:

Total = 10W+14R

probability of red = R/total

10+14 = 24 so total = 24

R = 14

14/24

reduce (divide by two on the top and bottom)

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24/2

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3 0
3 years ago
Can someone help me answer this? urgent‼️
Vsevolod [243]
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2 years ago
Find the value of x<br><br>m&lt;2= 10x + 10<br>​
jarptica [38.1K]

Answer:  x = 12

<u>Step-by-step explanation:</u>

a) Linear Pair: 110° + ∠a = 180°  -->    ∠a = 70°

b) congruent sides implies congruent angles  --> ∠b = 70°

c) Triangle Sum Theorem: ∠a + ∠b + ∠c = 180

                                         70° + 70° + ∠c = 180°

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d) Complimentary Angles: ∠c + ∠d = 90°

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x) m∠2 = 130°

   10x + 10 = 130°

   10x        = 120

       x        = 12

 

3 0
3 years ago
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