The final step is to determine the principal square root of both sides of the equation.
- The triangle XYZ is a right triangle.
- The sides "a" and "b" are the height and the base of the triangle.
- The side "c" is the hypotenuse of the triangle.
- The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between a right triangle's three sides in Euclidean geometry. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.
- The side lengths must satisfy the Pythagorean theorem, a² + b² = c².
- It is also an isosceles triangle, so the equation becomes a² + a² = c².
- By combining like terms, we get 2a² = c².
- The final step is to take the square root of both sides.
- √2a = c
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Answer:
Step-by-step explanation:
16% is the answer.
440 is what percent of 2750?
440 = x/100 x 2750 (of means x or times in math)
440 = 2750x/100
440 = 275x/10
440x10 = 275x/10
4400 = 275x
4400/275= 275x/275
4400/275 = x
4400/275 = 16%
Answer:
-25,-6
Step-by-step explanation:
5 to - 10 is a 15 unit negative transition on the x axis
2 to -2 is a 4 unit negative transition on the y axis
Answer:
2 mph
Step-by-step explanation:
time = distance / speed
Let c represent the rate of the current. Then the upstream rate of the boat relative to the shore is (5c -c) = 4c, and the <em>upstream time</em> is ...
... 12/(4c) = 3/c.
Likewise, the downstream rate is (5c +c) = 6c, and the <em>downstream time</em> is ...
... 12/(6c) = 2/c.
The <em>total time</em> is the sum of upstream and downstream times:
... 3/c +2/c = 2.5
... 5/c = 2.5 . . . . . . combine terms
... 5/2.5 = c = 2 . . . multiply by c/2.5
