<h3>
Answer:</h3>
6√2 ≈ 8.485 inches
<h3>
Step-by-step explanation:</h3>
The radii and the chord together make an isosceles right triangle with legs 6 inches long. The hypotenuse of such a triangle is √2 times the leg length. So, the chord will be 6√2 in long.
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<em>Comment on isosceles right triangle</em>
It is worth remembering that the hypotenuse of an isosceles right triangle is √2 times the leg length. This is easily found using the Pythagorean theorem:
... c² = a² + b²
... c² = 1² + 1² = 2 . . . . for legs of length 1
... c = √2 . . . . . . . . . . take the square root.
Scale this result as needed for any particular problem. Here, the scale factor is 6 inches.
Answer:
2
Step-by-step explanation:
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Answer:
1/4 b^9
Step-by-step explanation:
(b^11 b^-7)/4b^-5
We know x^y * x^z = x^(y+z)
b^11 * b^ -7 = b^ (11-7) = b^4
(b^11 b^-7)/4b^-5
b^4 / 4 b^-5
We know x^y / x^z = x^(y-z(
b^4 / b^-5 = b^(4 - -5) = b^(4+5) = b^9
1/4 b^9
Answer:
15 cm
Step-by-step explanation:
Write out the formula: a^2 + b^2 = c^2
Plug in the numbers that you were given: a^2 + 6^2 = 16^2
Solve for the numbers that you were given: a^2 + 36 = 256
Subtract: - 36 = - 36
a^2 = 220
Then, you find your answer: a^2 = 220
The square root of 220 is 14.832396974191326. But you are going to round it and you get 15. So, the answer is 15 cm.
Hope this helps
-Amelia
