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3 years ago

When lines are at the same distance apart over their lengths they are ?

Mathematics

1 answer:

svlad2 [7]3 years ago

7 0

Answer:

parallel lines

Step-by-step explanation:

parallel lines are lines that do not meet each other

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Suppose we want to choose 5 objects,without replacement from 16 distinct objects

lesya692 [45]

Answer:

4368 ways

Step-by-step explanation:

We want to choose 5 objects,without replacement from 16 distinct objects.

We can use combination in this case. The formula for the combination is given by :

$_{n}C_r=\dfrac{n!}{r!(n-r)!}$

We have, n = 16 and r = 5

So,

$_{16}C_5=\dfrac{16!}{5!(16-5)!}\\\\_{16}C_5=\dfrac{16!}{5!11!}\\\\=4368$

So, there are 4368 ways in which we want to choose 5 objects,without replacement from 16 distinct objects.

4 0

3 years ago

What is the inverse of 2/3?

jolli1 [7]

The inverse of 2/3
is 3/2.

Good Luck! :)

3 0

3 years ago

Read 2 more answers

I need to know the inequality

Helen [10]

The answer is 8 because if you subtract 8-3 it’s still bigger then 4

8 0

3 years ago

A barrel in Jim's yard contains 60 gallons of water. Water leaks out of the barrel at a rate of 1 gallon every 10 minutes. Creat

emmainna [20.7K]

Answer:

$y=-0.10x+60$

Step-by-step explanation:

Let

y -----> gallons of water remaining in the barrel

x-----> number of minutes elapsed

we know that

Water leaks out of the barrel at a rate of 1 gallon every 10 minutes

$1/10=0.10\frac{gal}{min}$

The linear equation that represent this situation is

$y=-0.10x+60$

The graph in the attached figure

7 0

3 years ago

Read 2 more answers

indicate whether the measures 8, 14, and 16 can be the side lengths of a triangle. if they can, classify the triangle.

Aleksandr-060686 [28]

Answers:

A triangle is possible.

The triangle is acute and scalene

=============================================================

Explanation:

We use the triangle inequality theorem to see if a triangle is possible with these side lengths.

Consider the side lengths a, b, and c. A triangle is possible if and only if the following 3 conditions hold true

a+b > c
a+c > b
b+c > a

Basically pick any two sides. If the sum is larger than the third side, then a triangle is possible.

-----------------

In this case we have: a = 8, b = 14, c = 16. The order of the a,b,c values doesn't really matter.

Then:

a+b = 8+14 = 22 which is larger than c = 16. So a+b > c is true.
a+c = 8+16 = 24 is larger than b = 14. So a+c > b is true.
b+c = 14+16 = 30 is larger than a = 8. So b+c > a is true.

All three inequalities mentioned are true; therefore, a triangle is possible with these side lengths.

-----------------

We'll use those a,b,c values in the converse of the pythagorean theorem to determine what kind of triangle this is. So far we know it's scalene because all three side lengths are different. It would be isosceles if it had exactly two equal sides, and equilateral if all 3 sides were the same length.

$a^2+b^2 = c^2\\\\8^2+14^2 = 16^2\\\\260 = 256\\\\$

The last equation is false, which tells us this triangle is not a right triangle. It's either acute or obtuse.

Since $a^2+b^2 > c^2$ is the case here, we can conclude the triangle is acute

If $a^2+b^2 < c^2$ was the case, then the triangle would be obtuse.

-----------------

Summary:

A triangle is possible with side lengths a = 8, b = 14, c = 16.
This triangle is scalene and acute

4 0

1 year ago