Just took the test this is the correct answer!
For this question you use the Pythagorean Theorem, with the equation A^2 + B^2 = C^2, for this problem the best way to solve it would be to draw a rectangle and label the shorter sides 3.7, longer sides 4.7, and to draw a diagonal line through the center.
To solve the equation you only need to find the hypotenuses (the longest side of the triangle) of one triangles since the triangles have the same measurements.
For your equation A^2 + B^2 = C^2, the a and the b represent the two shorter sides and the c represents the hypotenuse, after plugging in your number you get this equation,
3.7^2 + 4.7^2 = c^2, you then proceed to work out this equation by squaring the two numbers, you now have, 13.69 + 22.09 = c^2, you then add those two numbers and get, 35.78 = c^2, you now have to isolate the c to find the hypotenuse, to do this you find the square root of both sides, your result is c = 5.98, you then add 5.98, 3.7, and 4.7 to find the perimeter, which is 14.38, this is the perimeter of both of the triangles.
The union of two sets is defined as all elements that are members of both sets.
The first set evaluuates to (...,...,...-2,-1,0,1) and the second eveluates to (2,3,4,5,...,...).
There are no elements that belong to both sets so the solution is the empty set. {∅}
Another way is to think about it in words: "What number(s) are less that 2 and also equal to to greater than 2?" Clearly there is no number that fits both of those.
Answer:
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Step-by-step explanation: