Answer:
45
Step-by-step explanation:
AEF is a similar triangle to ABC. that means it has the same angles, and the sides (and all other lines in the triangle) are scaled from the ABC length to the AEF length by the same factor f.
now, what is f ?
we know this from the relation of AC to FA.
FA = 12 mm
AC = 12 + 28 = 40 mm
so, going from AC to FA we multiply AC by f so that
AC × f = FA
40 × f = 12
f = 12/40 = 3/10
all other sides, heights, ... if ABC translate to their smaller counterparts in AEF by that multiplication with f (= 3/10).
the area of a triangle is
baseline × height / 2
aABC = 500
and because of the similarity we don't need to calculate the side and height in absolute numbers. we can use the relative sizes by referring to the original dimensions and the scaling factor f.
baseline small = baseline large × f
height small = height large × f
we know that
baseline large × height large / 2 = 500
baseline large × height large = 1000
aAEF = baseline small × height small / 2 =
= baseline large × f × height large × f / 2 =
= baseline large × height large × f² / 2 =
= 1000 × f² / 2 = 500 × f² = 500 ×(3/10)² =
= 500 × 9/100 = 5 × 9 = 45 mm²
Answer:
lol
I wish I had one
Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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9514 1404 393
Answer:
14. C
15. C
Step-by-step explanation:
14. The function is entirely in quadrants I and II, so the leading coefficient is positive. This eliminates choices A and B.
The horizontal asymptote is 0, not -1, eliminating choice D.
The curve is best described by the equation of choice C.
__
15. The domain and range of an unadulterated exponential function are ...
domain: all real numbers; range: y > 0 . . . . matches choice C
To make a large batch of cinnamon rolls, the baker uses 12 cups of white flour and 10 cups of whole wheat flour. All together, he uses 176 ounces of flour. The baker uses 2 fewer cups of whole wheat flour than white flour.
