Answer:
False
Step-by-step explanation:
A number that can expressed as 
,
Where, p and q are integers such that q ≠ 0, is called a rational number.
Also, a decimal number with repeating pattern is a rational number,
( for eg : 0.333.... = 
)
Since,
√3 = 1.73205080757.....
∴ There is no repeating pattern
Thus, √3 is not a rational number.
Given statement is FALSE.
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
Take notes and pay attention since just slacking off for only 10 minutes can get you behind and struggling.
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Answer:
21 meters
Step-by-step explanation:
First find the circumference of the tire:
c = πd
c = 3.14(670)
c = 2103.8
Multiply by 10 to find the distance the bike has travelled:
2103.8*10 = 21,038
Convert millimeters to meters:
21,038 millimeters ≈ 21 meters
