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Aleks [24]
2 years ago
12

PLEASE HELP!!

Mathematics
1 answer:
Mekhanik [1.2K]2 years ago
7 0

Answer:

the angle in degree is 30°

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Each taco will cost you $1.50.
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3 years ago
18 points - Qu. If 16 whole numbers factor into 120. You will see how 32 whole numbers factor into 1200 what does the same princ
alexandr402 [8]

Explanation:

<em>Your premise and conclusion are both incorrect</em>.

120 has the prime factorization ...

  120 = 2³ × 3 × 5

The exponents of the prime factors are {3, 1, 1}. The number of divisors of 120 is the product of the increments of these numbers: (3+1)(1+1)(1+1) = 4·2·2 = 16.

120 has 16 natural-number divisors

__

1200 has the same prime factor and two more: 2·5, so the factorization is ...

  1200 = 2⁴ × 3 × 5²

These exponents are {4, 1, 2} and the product of their increments is 5·2·3 = 30.

1200 has 30 natural-number divisors.

__

When a number is multiplied by 2, its number of natural-number divisors will be (n+1)/n times the previous number of divisors, where n is the increment of the exponent of 2 that is a factor of the original number.

For 120, 2^3 is the power of 2 that is a factor. So, multiplying the number by 2 multiplies the number of divisors by (4+1)/4 = 5/4.

240 will have 20 divisors versus the 16 that 120 has.

Likewise, multiplying this number (240) by 5 will multiply its number of divisors by (2+1)/(1+1) = 3/2, where 1 is the power of 5 that is a factor of 240.

1200 will have 20(3/2) = 30 divisors, versus the 20 that 240 has, or the 16 that 120 has.

__

<em>Summary</em>

The number of divisors of an integer is the product of the increments of the exponents of its prime factors.

_____

<em>For reference</em>

Here are the divisors of 120:

  1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Here are the divisors of 240:

  1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Here are the divisors of 1200:

  1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 100, 120, 150, 200, 240, 300, 400, 600, 1200

7 0
3 years ago
Find the LCM of this set of numbers. 5 and 25
Andrej [43]

Answer:

25

Step-by-step explanation:

LCM = Least Common Multiple

To find the LCM, start by listing multiples, or the product of any two numbers.

5: 5, 10, 15, 20, 25, 30, 35...

25: 25, 50, 75, 100, 125, 150, 175...

Now, let's find the LCM by selecting the smallest shared multiple out of the lists we made.

5: 5, 10, 15, 20, 25, 30, 35...

25: 25, 50, 75, 100, 125, 150, 175...

Therefore, 25 is the LCM of 5 and 25.

4 0
3 years ago
What is The value of -8/14 · 20/64
Genrish500 [490]
The answer is -5/28
4 0
3 years ago
Read 2 more answers
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