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timofeeve [1]
2 years ago
8

How many triangles can be drawn with side lengths 3ft, 4ft, and 5ft

Mathematics
1 answer:
AleksandrR [38]2 years ago
6 0

Answer:

3

Step-by-step explanation:

The way to figure out if it is a triangle or not is by using the triangle inequality theorem. It says that the sum of 2 sides of the triangle must be larger than the third side. Therefore, there are 3 triangles that we can make with the side lengths of 3ft, 4ft, and 5ft.

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Answer:

4\sqrt{17}

Step-by-step explanation:

Let's find the answer by using the arc length formula which is:

\int\limits^a_b {\sqrt{1+(\frac{dy}{dx})^{2} } } \, dx

First, let's find dy/dx which is:

y=4x-5

y'=4*(1)-0

y'=4, now let's use the formula:

\int\limits^3_{-1} {\sqrt{1+4^{2}} } \, dx=\sqrt{17} *(3-(-1))=4\sqrt{17}

Now, using the distance formula we have:

d=\sqrt{(x2-x1)^{2} +(y2-y1)^{2} }

y(-1)=4*(-1)-5=-9 \\y(3)=4*(3)-5=7

So we have two points (-1, -9) and (3, 7) so:

d=\sqrt{(3-(-1))^{2} +(7-(-9))^{2} }=4\sqrt{17}

Notice both equations gave the same length 4\sqrt{17}.

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3 years ago
A rectangular room is 9 m long and 6 m broad. Find the number of
slava [35]

Answer:

880

Step-by-step explanation:

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2 years ago
In a study of stress levels in U.S. army recruits stationed in Iraq, researchers obtained a complete list of the names of recrui
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Answer:

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Step-by-step explanation:

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3 years ago
Anna said that the product of 7/8 · 1 1/2 = 7/2<br><br>How can you tell that her answer is wrond?
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Here is your answer:


1 1/2 = 3/2


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The reason why she multiplied her answer wrong, she also "kept her original numerator and denominator."


Hope this helps!

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3 years ago
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