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1 answer:
Exact answer as a fraction = 1/3
Approximate answer in decimal form = 0.333
Approximate answer as a percentage = 33.3%
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Explanation:
Check out the attached image below. It shows the various dice sums that add to either 4, 5 or 6. We have 12 occurrences total out of 6*6 = 36 overall giving 12/36 = 1/3 as the probability. This is in fraction form. As a decimal, 1/3 = 0.333 approximately which covers over to 33.3%
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The diagram on the left is missing its hypotenuse - the variable <em>c</em><em>.</em><em> </em>The hypotenuse is opposite of the right angle. The diagram on the right side is missing one of its legs.
Note: The hypotenuse is the <em>longest</em><em> </em>side of a right triangle.
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The legs are 21 blocks and 20 blocks because they are by the right angle. Use the Pythagorean theorem to find the diagonal path's length, which is the hypotenuse.
Standard form of Pythagorean theorem.
Equation with the legs substituted and the missing hypotenuse value - <em> </em><em>c</em><em>.</em>
Square the legs and add.
Take the square root and simplify. The square root of 841 is 29 and -29, but distance is positive.
Thus the diagonal distance is 29 blocks.
Check by substituting.