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Vikki [24]
2 years ago
11

The length of 2 sides of a triangle are 12 inches and 4 inches. Which is the third side?

Mathematics
1 answer:
Westkost [7]2 years ago
7 0

Answer:

Let x = the third side

 

In a triangle, the sum of any 2 sides must be larger than the third side.

I believe this is called the triangle inequality theorem.

 

We can construct 3 inequalities to obtain the range of values for the third side.

 

  (Inequality #1)   12 + 4 > x

                                  16 > x

 

  (Inequality#2)    12 + x > 4

                                    x > -8   (we can discard this ... we know all sides will be positive)

 

  (Inequality #3)   4 + x > 12

                                   x > 8

 

So when we combine these together,  

 

   8 < x < 16

 

X (the third side) must be a number between 8 and 16. but not including 8 and 16

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(-0.5, 0)

Step-by-step explanation:

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3 years ago
A toy rocket is a composite of a cylindrical body with a cone for a nose. The base of the cylinder and cone are the same size. C
inysia [295]

The volume of the entire rocket given the volumes of the cylindrical body and the cone nose is 117.23 in³.

<h3>What is the volume of the entire rocket?</h3>

The volume of the entire rocket is the sum of the volume of the cylinder and the volume of the cone.

Volume of the cylinder = πr²h

Where:

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3.14 x 2² x 8 = 100.48 in³

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6 0
2 years ago
The sides of a rectangle are x cm and 4 cm. Its<br>perimeter is 46 cm. Determine the value of x.​
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Answer:

x = 19 cm

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4 0
3 years ago
X+y=5<br> x^y+y^x=17<br> solve for the value of y and x
pentagon [3]
X = 2 
<span>y = 3 </span>

<span>2 + 3 = 5 </span>
<span>2³ + 3² = 17 </span>

<span>------------------- </span>

<span>BUT: </span>

<span>x + y = 5 </span>
<span>x^y + y^ x = 17 </span>

<span>y = 5 - x</span>
7 0
3 years ago
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