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3 years ago

Which of the following sets of lengths can be used to form the sides of a triangle? Explain your reasoning.

Mathematics

1 answer:

Bad White [126]3 years ago

7 0

Answer:A can be use to form a triangle.

Step-by-step explanation:

a+b>C

5+18 >20

23>20

SO this is a triangle since if you add A and B together it is greater than C.

You might be interested in

What is 12, 4, -2, 0, 9, -2, 1, 7, 8, 2 in order from least to greatest

7nadin3 [17]

Answer:

-2 , -2 , 0 , 1 , 2 , 4 , 7 , 8 , 9 , 12

Step-by-step explanation:

Order each number from least to greatest. Note that if the number is numerically larger and attached is a negative sign (-), then it is towards the least. If it does not have a negative sign, it leans towards the most.

Your answer:

-2 , -2 , 0 , 1 , 2 , 4 , 7 , 8 , 9 , 12

6 0

3 years ago

Read 2 more answers

How do you Evaluate 6!

yan [13]

Answer:

very carefully

also, please provide more context

7 0

3 years ago

REALLY NEED HELP ASAP!!!!!!!

stich3 [128]

Answer: OPTION C

Step-by-step explanation:

There are some transformations for a function f(x). Some of them are shown below:

1. If $f(x)+k$ , the function is shifted up "k" units.

2. If $f(x)-k$ , the function is shifted down "k" units.

3. If $f(x+k)$ , the function is shifted left "k" units.

4. If $f(x-k)$ , the function is shifted right "k" units.

In this case you know that the function "g" is the transformation of the function "f".

Observe that the function "f" intersects the y-axis at:

$y=2$

And the function "g" intersects the y-axis at:

$y=-2$

Therefore, since both functions are 4 units apart, you can conclude that the function "f" was shifted down 4 units to get the function "g".

Then, the rule that shows that transformation is:

$g(x)=f(x)-4$

5 0

3 years ago

The radius of a sphere is increasing at a rate of 5 mm/s. How fast is the volume increasing (in mm3/s) when the diameter is 40 m

jeka94

9514 1404 393

Answer:

8000π mm^3/s ≈ 25,133 mm^3/s

Step-by-step explanation:

The rate of change of volume is found by differentiating the volume formula with respect to time.

V = 4/3πr^3

V' = 4πr^2·r'

For the given numbers, this is ...

V' = 4π(20 mm)^2·(5 mm/s) = 8000π mm^3/s ≈ 25,133 mm^3/s

_____

<em>Additional comment</em>

By comparing the derivative to the area formula for a sphere, you see that the rate of change of volume is the product of the area and the rate of change of radius. This sort of relationship will be seen for a number of different shapes.

4 0

3 years ago

Which of the following pairs of numbers contains like fractions? A. 5⁄6 and 10⁄12 B. 3⁄2 and 2⁄3 C. 3 1⁄2 and 4 4⁄4 D. 6⁄7 and 1

ElenaW [278]

<h2>Hello!</h2>

The answers are:

$\frac{5}{6}$ and $\frac{10}{12}$

$\frac{6}{7}$ and $1\frac{5}{7}$

To find which of the following pairs of numbers contains like fractions, we must remember that like fractions are the fractions that share the same denominator.

We are given two fractions that are like fractions. Those fractions are:

Option A.

$\frac{5}{6}$ and $\frac{10}{12}$

We have that:

$\frac{10}{12}=\frac{5}{6}$

So, we have that the pairs of numbers

$\frac{5}{6}$

and

$\frac{5}{6}$

Share the same denominator, which is equal to 6, so, the pairs of numbers contains like fractions.

Option D.

$\frac{6}{7}$ and $1\frac{5}{7}$

We have that:

$1\frac{5}{7}=1+\frac{5}{7}=\frac{7+5}{7}=\frac{12}{7}$

So, we have that the pair of numbers

$\frac{6}{7}$

and

$\frac{12}{7}$

Share the same denominator, which is equal to 7, so, the pairs of numbers constains like fractions.

Also, we have that the other given options are not like fractions since both pairs of numbers do not share the same denominator.

The other options are:

$\frac{3}{2},\frac{2}{3}$

and

$3\frac{1}{2},4\frac{4}{4}$

We can see that both pairs of numbers do not share the same denominator so, they do not contain like fractions.

Hence, the answers are:

$\frac{5}{6}$ and $\frac{10}{12}$

$\frac{6}{7}$ and $1\frac{5}{7}$

Have a nice day!

3 0

3 years ago