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liq [111]
3 years ago
11

Solve for x. Leave your answer in simplest radical form.

Mathematics
1 answer:
pochemuha3 years ago
6 0

Answer:

x = 4√7

Step-by-step explanation:

You can use the pythagorean theorem which is a² + b² = c²

if you plug it in, it would be...

x² + 12² = 16²

x² + 144 = 256, subtract 144 to both sides

x² = 112, square root both sides to make x by itself.

x = 4√7  

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The ratio of dogs to cats is 5:3.
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Answer:

1:2  

Step-by-step explanation:

since cats is 3 you put 3 and fish is 6 you put 6

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3 years ago
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Complete the recursive formula of the geometric sequence -0.3,0.9,-2.7,8.1
Yanka [14]

Answer:

a_{n} = - 3a_{n-1} with a₁ = - 0.3

Step-by-step explanation:

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3 0
4 years ago
Jill is designing a picture frame for an art project. She plans to have a square piece of glass (x inches by x inches) in the ce
ra1l [238]
How would I at least start out those two problems? 

It looks to me like you already did. Now just follow through with it. 

If the length of each side of the frame's inner dimension (i.e. the glass) is x, and the length of each side of the frame's outer dimension is x^2 - 3, then the area of the frame is: 

A = (outer dimension)^2 - (inner dimension)^2 
27 = (x^2 - 3)^2 - (x)^2 
27 = x^4 - 6x^2 + 9 - x^2 
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0 = x^4 - 7x^2 - 18 
0 = (x^2 - 9)(x^2 + 2) 

Therefore, either x^2 = 9 or x^2 = -2... and you know it can't be the latter.
Thus, x^2 = 9 and therefore x = 3. The glass is 3" on each side. 

<span>Each (outer) side of the frame is x^2 - 3 = 9 - 3 = 6" </span>
4 0
3 years ago
Carolyn drove 150 miles in 3 hours. Which rate represents this situation?
kodGreya [7K]
The rate that represents this situation would be 50 miles in an hour.
5 0
3 years ago
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