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pishuonlain [190]
3 years ago
7

Please help me on this

Mathematics
1 answer:
AlekseyPX3 years ago
8 0

9514 1404 393

Answer:

  10 ft

Step-by-step explanation:

The midsegment length is the average of the other two lengths.

  (QR +PS)/2 = TU

  QR +PS = 2×TU . . . . . . . . . . . . . . . multiply by 2

  QR = 2×TU -PS = 2(14 ft) -18 ft . . . subtract PS; substitute given values

  QR = 10 ft

You might be interested in
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
Plzzzzzzzzz help thank u
Vikki [24]

Answer:

I think the answer is A

A is the answer

6 0
3 years ago
Read 2 more answers
Write the product of 6x-4 and the multiplicative inverse of 1 over 5
nlexa [21]

Answer:

  30x -20

Step-by-step explanation:

The multiplicative inverse (reciprocal) of 1/5 is 5/1 = 5. Multiplying that by 6x-4 gives ...

  5 × (6x -4) = 30x -20

6 0
3 years ago
Describe how to use a tens fact to find the difference for 15-8
shusha [124]
You can round 15 to 20, and 8 to 10
7 0
3 years ago
Round 24.9652 to<br>1 decimal Place​
ankoles [38]

Answer:

2.5 one decimal rounding off means to make it to one decimal place.the no is 24.9652 if you want to round of then you have to put decimal after 2 only then it will be one decimal place .this is because when we see a number after the point greater than 5 then we add 1 to the right side .now if we add 1 to the right side of 24.9652 by rounding off and making it to one decimal place then it will be 2.5.

5 0
3 years ago
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