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:
<em>5 footballs were sold for every 2 basketballs sold.</em>
Step-by-step explanation:
2.5 times as many football as basketball was sold last year
This can be represented as
1 basket ball sold = 2.5 footballs sold
for every 2 basketball sold, number of football sold = 2.5 x 2 = <em>5 footballs</em>
Answer:
D.) Fixed costs do not change no matter how much a business produces; variable costs do change.
Step-by-step explanation:
A variable cost varies with the amount produced, while a fixed cost remains the same no matter how much output a company produces.
I'm 100% sure that this is the answer.
