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aleksley [76]
3 years ago
13

A driver runs over a nail, puncturing the tire without causing a leak. The position of the nail in the tire, with relation to th

e ground, while the car is moving at a constant speed is shown in the table.
Time (s) Approximate height of the nail off the ground (inches)
0 0
0.01 2.1
0.02 7.6
0.03 14.9
0.04 21.5
0.05 25.5
0.06 25.5
0.07 21.5

Which key features of the function representing the nail’s travel can be used to determine the amount of time it takes for the nail to reach the same orientation it had when it entered the tire?

A. period
B. minimum
C. maximum
D. amplitude
Mathematics
2 answers:
Elina [12.6K]3 years ago
7 0

Answer: period

Step-by-step explanation:

Alex787 [66]3 years ago
4 0

Answer:

The correct option is A.

Step-by-step explanation:

It is given that a driver runs over a nail, puncturing the tire without causing a leak.

Tire of a car represents a periodic function because after a particular time the tire comes its initial stage and that particular time interval is called a period.

It means period is the key feature of the function representing the nail’s travel can be used to determine the amount of time it takes for the nail to reach the same orientation it had when it entered the tire.

Therefore the correct option is A.

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bezimeni [28]

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

8 0
2 years ago
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6 0
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Which pair of functions are inverse of eachother ?
Doss [256]

Answer: a

Step-by-step explanation:

6 0
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It's was 55°F outside until the temperature increased 20°F. Which number is the additive inverse of the temperature increase?
MArishka [77]
55+20=75ºF
I am very confused but I'm guessing.
3 0
3 years ago
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JK has endpoints at J(5,9) and K(7, 7). Find the midpoint M of JK.
Basile [38]

Answer:

J (7, 10)

K (3, 2)

Formula for midpoint:

x - coordinate for M:

y - coordinate for M:

Therefore, M (5,6).

Hope this helps :)

Step-by-step explanation:

5 0
3 years ago
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