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:
the answer would be 20
Step-by-step explanation:
so if 18-(-2)=?
two nwgatives make a positive. So the equation would turn into 18+2=20
Im not 100% if this is right but htis is how I was taught to do it.
Answer:
the original price was $46.12
Step-by-step explanation:
if you add 5 back to that number.
Answer:
4/6
Step-by-step explanation:
The fraction 4/6 is equal to 2/3 when reduced to lowest terms. To find equivalent fractions, just multiply the numerator and denominator of that reduced fraction (2/3) by any integer number, i.e., multiply by 2, 3, 10, 30... 4/6 is equivalent to 2/3 because 2 x 2 = 4 and 3 x 2 = 6 6/9 is equivalent to 2/3 because 2 x 3 = 6 and 3 x 3 = 9
The y intercept (b) = 4 and the slope (m) is 12
y = mx + b so its:-
y = 12x + 4
