a motorist starts from O nd moves in a direction 030° for 36km.he then moves 7km towards the west .how far east his he now from
O
1 answer:
Answer:
11 km
Step-by-step explanation:
Assuming your "direction 030°" is a bearing measured clockwise from north, the amount the motorist moved east on the first leg of the journey was ...
(36 km)sin(30°) = 18 km
From that point, moving 7 km west makes his easterly position ...
18 km -7 km = 11 km . . . . east of O
_____
The sine of an angle is the ratio of the side opposite to the hypotenuse. You can find the length of the side opposite (the easterly motion) by multiplying the sine of the bearing angle by the distance of travel. A diagram can help.
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3 4 7
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y = mx + c
From the table,
7 = 3m + c . . . (1)
9 = 8m + c . . . (2)
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Substituting for m into equation (1) gives:
Therefore, the equation representing the growth of the cousin's hair is given by y = 1.2x + 5.8
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Month Friends Hair(in) Cousins Hair(in)
3 4 7
8 6.5 9.
To solve for the cousins hair, recall that the equation of a line is given by
y = mx + c
From the table,
7 = 3m + c . . . (1)
9 = 8m + c . . . (2)
(1) - (2) ⇒ -2 = -5m
Substituting for m into equation (1) gives:
Therefore, the equation representing the growth of the cousin's hair is given by y = 1.2x + 5.8
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