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3 years ago

Need help on this one too

Mathematics

2 answers:

Alexxx [7]3 years ago

8 0

The correct answer is the square root of 296 which is approximately 17.20

Use the Pythagorean Theorem to solve it

a^2 + b^2 = c^2
14^2 + 10^2 =c^2
196 + 100 = c^2
196+100=square root 296

avanturin [10]3 years ago

4 0

Answer:

Step-by-step explanation:

Use the Pythagorean Theorem. The hypotenuse, 14 square should be equal to the sum of x squared + 10 squared.

14^2 = 196

10^2 = 100.

So, 196 = 100 + x^2

$x = \sqrt{96}$

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800+4000+194
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3 years ago

The length of each side of an equilateral triangle is increased by 5 inches, so the perimeter is now 60 inches. Write and solve

AfilCa [17]

Answer:

The original length of each side of the equilateral triangle = x =15 inches

Step-by-step explanation:

Let Original length of side of equilateral triangle = x

If it is increased by 5 inches, the length will become = x+5

Since in equilateral triangle all the ides have same length so,

New Length of side 1 = x+5

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The formula used is: $Perimeter=Length \ of \ side \ 1 \ + Length \ of \ side \ 2 \ + Length \ of \ side \ 3$

Putting values in formula and finding x

$Perimeter=Length \ of \ side \ 1 \ + Length \ of \ side \ 2 \ + Length \ of \ side \ 3\\60=x+5+x+5+x+5\\60=3x+15\\60-15=3x\\45=3x\\x=\frac{45}{3}\\x=15$

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3 years ago

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Answer:

The length of each side of the polyhedron, s is 4.142 or

= $10(\sqrt{2}-1)$

Step-by-step explanation:

If we take the distance of the length of the side of the cube where Donatello make the cut to the corner of the cube as x we get the side of length each polyhedron as

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x·√2 because we have an hy

Therefore, the original cube had sides of length

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Solving for x we get

$x = \frac{10}{\sqrt{2}+2 }$

Therefore the length of s is x·√2 which gives

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The length of each side of the polyhedron, s = 4.142.

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4 years ago