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mars1129 [50]
3 years ago
12

PLEASE HELP ASAP

Mathematics
1 answer:
Ksenya-84 [330]3 years ago
3 0
<span>Real numbers are "closed" under addition Integers are "not closed" under division. Irrational numbers are "not closed" under multiplication. Rational numbers are "closed" under subtraction. If an operation is closed under a set of numbers that means that the result of the operation will always be within that same set of numbers. If that's not true, then the operation is not closed. So with that in mind, let's look at the problems. Real numbers are (closed,not closed) under addition * Since a real number plus a real number always results in another real number, then real numbers are closed under addition. So the answer is "closed" Integers are ( closed, not closed) under division. * Let's try this counter example. 1 divided by 2 = 1/2. 1/2 is NOT an integer, therefore integers are not closed under division. The answer is "not closed" Irrational numbers are (closed, not closed) under multiplication. * This is a tricky one. You may give an impulsive answer and say "closed". After all, how could you possibly multiply one non repeating infinite sequence by another and get something rational?. But what's pi multiplied by the reciprocal of pi? Both pi and 1/pi are irrational. Yet when you multiply them together you get 1 which is quite rational. So the answer is "not closed" Rational numbers are ( closed, not closed) under subtraction. * Since rational numbers are all numbers that can be expressed as a fraction consisting on an integer numerator and divisor, we can express subtraction as a/b - c/d = ad/bd - bc/bd = (ad-bc)/bd and since all we're doing is adding, subtracting, and multiplying integers which is closed under those operations, that means that rational numbers are also closed under subtraction. So the answer is "closed".</span>
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What’s the answer for the formula question
Luda [366]

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Step-by-step explanation:

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M = 43

R = 7

Replacing by the values

43 = 3N + 4*7

43 = 3N + 28

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3N = 15

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N = 5

5 0
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A graduated cylinder is filled with 36\pi36π36, pi cm^3 3 start superscript, 3, end superscript of liquid. The liquid is poured
lilavasa [31]
By definition, the volume of a cylinder is given by:
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The height of the liquid will be in the new cylinder about:
 
h = 4 cm
5 0
3 years ago
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marysya [2.9K]

Answer:

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A rectangular enclosure is to be created using 82m rope.
atroni [7]
Let
x-----> the length of rectangle
y-----> the width of rectangle

we know that 
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using a graph tool
see the attached figure

the vertex is the point (20.5,420.25)
that means
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the area is 420.25 m²

y=420.25/20.5----> 20.5 m

the dimensions are
20.5 m x 20.5 m------> is a square

the answer part 1) 
<span>the dimensions of the rectangular with Maximum area is a square with length side 20.5 meters
</span>
Part 2)<span>b) Suppose 41 barriers each 2m long, are used instead. Can the same area be enclosed?
</span>divide the length side of the square by 2
so
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the dimensions are 10 barriers x 10 barriers
10 barriers=10*2---> 20 m

the area enclosed with barriers is =20*20----> 400 m²

400 m² < 420.25 m²
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the answer Part 2) is 
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</span>
Part 3)<span>How much more area can be enclosed if the rope is used instead of the barriers
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area using the rope=420.25 m²
area using the barriers=400 m²

420.25-400=20.25 m²

the answer part 3) is
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One foot is 12 inches so 36/12=3 so 3 feet
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