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
B Janae types 30 words each minute.
Step-by-step explanation:
Answer:
A= 5
B= 3
Step-by-step explanation:
A= 5 +5+5+5= 20
B= 3 (length) x 3 (width)
Answer:
Widget per hours for A: 5
Widgets per hour for B: 8
Widgets per hour for C: 6
Widget B is the fastest
Step-by-step explanation:
A: 30 /6 = 5
B: 64/8 = 8
C: 18/3 = 6
Answer:
3x+3y and distributive property
Step-by-step explanation:
It is given that
Gretchen buys three bags of apples = 3X
Hayley buys three bunches of bananas = 3Y
As it is also mentioned that it first it is multiplied and then it is added
So, the expression for determining the total number of fruit pieces is
3X + 3Y
And, this expression denotes the distributive property in which we multiplied the each variable and then added it