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Answer:
6 inches
Step-by-step explanation:
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If you are not familiar with the Pythagorean theorem, I will write it below to remind you for your future mathmatical endeavours:
c is the hypotenuse, and a and b are the other two sides. The hypotenuse is the largest side of a triangle. In this example, a and b are equal to each other and c is equal to 2, so I'm going to convert b into a and do some math trickery here:
Basically, I swapped b with a and combined like terms. Then I just replaced c with 2, then squared it into 4.
All you have to do now is solve for a
Step 1 is to divide both sides by 2 to get:
Then just square both sides:
Now you know that the length of the sides are equal to the square root of 2.
Sorry if this was a bit rushed, I hate running out of time on these. If you have any questions on why I did something, ask away in the comments.
c is the hypotenuse, and a and b are the other two sides. The hypotenuse is the largest side of a triangle. In this example, a and b are equal to each other and c is equal to 2, so I'm going to convert b into a and do some math trickery here:
Basically, I swapped b with a and combined like terms. Then I just replaced c with 2, then squared it into 4.
All you have to do now is solve for a
Step 1 is to divide both sides by 2 to get:
Then just square both sides:
Now you know that the length of the sides are equal to the square root of 2.
Sorry if this was a bit rushed, I hate running out of time on these. If you have any questions on why I did something, ask away in the comments.
Answer:
1 and 3
Step-by-step explanation:
- (5^(1/3))^2 = 5^(2/3)
- (5^2)^(1/2) = 5^(2/2) = 5
- (5^2)^(1/3) = 5^(2/3)
- (5·3)^(1/2) = 5^(1/2)·3^(1/2)
- (5^(1/2))^3 = 5^(3/2)
- (5·2)^(1/3) = 5^(1/3)·2^(1/3)
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