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:
carbon
Step-by-step explanation:
it is obvious you can tell
.625 or if you want it in a fraction it is 625/1000
Answer:
See below.
Step-by-step explanation:
The table shows the total number of students as 572 (bottom right cell in the table.)
The number of students who are 17 or older are the students in the two groups: 17-18 and 19-20.
There are 151 students with ages 17-18.
There are 34 students with ages 19-20.
The total of all students 17 or older is 151 + 34 = 185.
The probability of choosing a student age 17 or older is the number of students 17 or older (which is 185) divided by the total number of students (which is 572).
p(17 or older) = 185/572 = 0.3234 = 32.34%
We round 32.34% to the nearest integer to get 32%.
