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lukranit [14]
3 years ago
15

if m is the least prime number and n is the least positive integer multiple of 12, what is the difference between n and m

Mathematics
2 answers:
ElenaW [278]3 years ago
8 0

Answer:

10

Step-by-step explanation:

m = least prime number = 2

n = least positive integer multiple of 12 = 12

n - m = 12 - 2 = 10

Yuliya22 [10]3 years ago
8 0

Answer:

10

Step-by-step explanation:

2 is the least prime number because it is not a product of any two smaller natural numbers. m=2

12 is the least positive integer multiple of 12. n=12

12-2=10

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The <em>proposed</em> design of the atrium (<em>V < V'</em>) is possible since its volume is less than the <em>maximum possible</em> atrium.

<h3>Can this atrium be built in the rectangular plot of land?</h3>

The atrium with the <em>maximum allowable</em> radius (<em>R</em>), in feet, is represented in the image attached. The <em>real</em> atrium is possible if and only if the <em>real</em> radius (<em>r</em>) is less than the maximum allowable radius and therefore, the <em>real</em> volume (<em>V</em>), in cubic feet, must be less than than <em>maximum possible</em> volume (<em>V'</em>), in cubic feet.

First, we calculate the volume occupied by the maximum allowable radius:

<em>V' =</em> (8 · π / 3) · (45 ft)³

<em>V' ≈</em> 763407.015 ft³

The <em>proposed</em> design of the atrium (<em>V < V'</em>) is possible since its volume is less than the <em>maximum possible</em> atrium. \blacksquare

To learn more on volumes, we kindly invite to check this verified question: brainly.com/question/13338592

3 0
2 years ago
Elizabeth’s aunt started a college savings account for her with $6,000. What is the balance of the account after 5 years if the
vaieri [72.5K]

Answer:

6750

Step-by-step explanation:

simple interest = P×r%×t

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t = 5 years

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7 0
3 years ago
(a) An angle measures 50°. What is the measure of its complement?
Alex Ar [27]

Answer:

a) 40 degrees b) 148 degrees

Step-by-step explanation:

a) Complementary angles are angles that in total measure 90 degrees, or form a right angle. If one angle is 50 degrees, then 90 - 50 = 40, meaning the measure of its complement will be 40 degrees.

b) Supplementary angles are similar but in total measure 180 degrees, or form a straight angle. If one angle measures 32 degrees, then 180 - 32 is equal to 148, meaning the measure of its supplement will be 148 degrees.

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3 years ago
Find the volume of a cylinder with a radius of 4 in and a height that is 3 times the radius
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Answer:

Volume of a cylinder: V = π * r² * h ,

Base surface area of a cylinder: A_b = 2 * π * r² ,

Lateral surface area of a cylinder: A_l = 2 * π * r * h ,

Total surface area of a cylinder: A = A_b + A_l ,

Step-by-step explanation:

So, when the radius is tripled, the volume will be 3 squared = 9 times than the previous one.

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Answer:

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Step-by-step explanation:

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3 years ago
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