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1 year ago

Is the set of integers closed under division? Explain why or why not.

1 answer:

5 0

The set of integers is not closed under the operation of division because when an integer is divided by another, the results are not limited to only integers i.e. zero and decimals are possibilities

<h3>How to determine the true statement?</h3>

Integers are numbers without decimal points

When integers are divided, the possible results are:

Zero
Decimal
Integers

The decimal and the zero possibilities imply that the set of integers is not closed under the operation of division

This is so because when an integer is divided by another, the results are not limited to only integers i.e. zero and decimals are possibilities

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How many tens are in 700?

scoray [572]

Answer:

Step-by-step explanation:

700 / 10 = 70

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3 years ago

Read 2 more answers

A snail moved 5 feet in 2 hours. How many feet will the snail move in 5 hours?

mamaluj [8]

The best way to do this is to set up a proportion

2 5
--- = ----
5 x

then cross multiply and divide

5 times 5=25/2=12.5

he would move 12.5 feet in 5 hours

I hope I've helped!

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3 years ago

How many solutions does a triangle with side lengths a = 4, A = 112º and b =<br>9 have?

Ainat [17]

Answer:

This case has NO solutions.

Step-by-step explanation:

Notice that you are in a case of an obtuse triangle (one of its angles is larger than 90 degrees), the side opposite to the obtuse triangle is shorter than the side adjacent to the angle, so no actual triangle can be formed.

This can be found by simply trying to apply the Law of Sines to solve for the value of angle "B" opposite to side "b":

$\frac{sin(A)}{a} =\frac{sin(B)}{b}\\sin(B)=\frac{b\,sin(A)}{a}\\sin(B)=\frac{9\,sin(112^o)}{4}\\\\sin(B)=2.086$

As shown above, we get an impossible mathematical condition (also call an absurd), since the sine of an angle cannot give a value larger than 1 (one).

Therefore, there is no angle we can find to build a triangle with the given data.

7 0

3 years ago

The hyperloop would be able to travel 1,050 miles in 1 1/2 hours. how long would it take the acela train to travel that far?

meriva

D uv a g r I dr name dud d dnwkdjwlqgd

3 0

3 years ago

Solve the following quadratic equation. (x+12)^2=1 A. x = 11 and x = 13 B. x = -11 and x = -13 C. x = -11 and x = 13 D. x = 11 a

sveticcg [70]

Answer:

Step-by-step explanation:

(x+12)^2=1

(x+12)= +or - 1

when

x+12=1

x=1-12 =-11

when

x+12=-1

x=-1-12 =-13

then

x=-11 and x= -13

7 0

3 years ago