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Lyrx [107]
2 years ago
12

Which of the following numbers are written correctly in expanded form? Select TWO that apply.

Mathematics
1 answer:
ivolga24 [154]2 years ago
3 0

Answer:

C is correct, D might be correct if you forgot 000 at the end of the question.

Step-by-step explanation:

005  = 5x1  so A is incorrect

945 = 9x100 +  4x10 +   5x1 so B is incorrect

15.859 = 1x10 +  5x1 +  8/10 +  5/100 +  9/1000 +  so C is correct

973.001 = 9x100 + 7x10 + 2x1 + 1/1000 so D is incorrect

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Hope this helps!! :)

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Read 2 more answers
Find the length of the radius of the circle, which is inscribed into a right trapezoid with lengths of bases a and b.
egoroff_w [7]

Answer:

  r = (ab)/(a+b)

Step-by-step explanation:

Consider the attached sketch. The diagram shows base b at the bottom and base a at the top. The height of the trapezoid must be twice the radius. The point where the slant side of the trapezoid is tangent to the inscribed circle divides that slant side into two parts: lengths (a-r) and (b-r). The sum of these lengths is the length of the slant side, which is the hypotenuse of a right triangle with one leg equal to 2r and the other leg equal to (b-a).

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  -4r(a+b) = -4ab . . . . . . . . subtract common terms from both sides, also -2ab

  r = ab/(a+b) . . . . . . . . . divide by the coefficient of r

The radius of the inscribed circle in a right trapezoid is r = ab/(a+b).

_____

The graph in the second attachment shows a trapezoid with the radius calculated as above.

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3 years ago
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