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2 years ago

Can the sides of a triangle have sides of 5, 8, and 16 ???

Mathematics

1 answer:

Nata [24]2 years ago

4 0

Answer:

No.

Step-by-step explanation:

The triangle inequality theorem states that the sum of two sides of a triangle must be greater than the third side.

5 + 8 = 13.

13, which is the sum of two sides, is not larger than 16, the third side.

Therefore, a triangle cannot have these side lengths.

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How many unique ways are there to arrange the letters in a word OPAL.

jek_recluse [69]

Answer:

24.

Step-by-step explanation:

We can use the factorial function to find the number of unique arrangements in a word.

There are 4 unique characters in 'OPAL'. As such, 4! = 24.

In the case that there were repeating characters, such as 'OPALA', then we would divide by the factorial of the number of repeating letters. That looks something like this:

$\frac{5!}{2!} = 60$

Hope this helped.

7 0

2 years ago

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Find the derivative of 3e^y+x=y

Sindrei [870]

You have the following function:

$y=3e^y+x$

Derivate implictly the previous expression, as follow:

$y^{\prime}=3e^yy^{\prime}+1$

Where you have used that:

$(e^y)^{\prime}=e^yy^{\prime}$

Then, the implicit derivative of the given expression is:

$y^{\prime}=3e^yy^{\prime}+1$

Next, solve for y' as follow:

$\begin{gathered} y^{\prime}-3e^yy^{\prime}=1 \\ (1-3e^y)y^{\prime}=1 \\ y^{\prime}=\frac{1}{1-3e^y} \end{gathered}$

4 0

1 year ago

0.056 divided by -0.004

riadik2000 [5.3K]

Answer: -14

Step-by-step explanation:

3 0

2 years ago

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Factorise completely (2x+1)^2 -(x-1)^2

Vladimir79 [104]

Use photomath ! It's an app that gives you the answer with the explanation and it shows you how it got to the answer !

5 0

2 years ago

Given the equation y − 3 = one half(x + 6) in point-slope form, identify the equation of the same line in standard form.

user100 [1]

C.y=1/2x+6, is fit....

4 0

2 years ago

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