Mandy used the graph to write the equation of the line it represents. She took these steps.
2 answers:
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Answer:
- 0.100
Step-by-step explanation:
Length of the ladder, H = 6 m
Distance at the bottom from the wall, B = 1.3 m
Let the distance of top of the ladder from the bottom at the wall is P
Thus,
from Pythagoras theorem,
B² + P² = H² .
or
B² + P² = 6² ..............(1) [Since length of the ladder remains constant]
at B = 1.3 m
1.3² + P² = 6²
or
P² = 36 - 1.69
or
P² = 34.31
or
P = 5.857
Now,
differentiating (1)
at t = 2 seconds
change in B = 0.3 × 2= 0.6 ft
Thus,
at 2 seconds
B = 1.3 + 0.6 = 1.9 m
therefore,
1.9² + P² = 6²
or
P = 5.69 m
on substituting the given values,
2(1.9)(0.3) + 2(5.69) × = 0
or
1.14 + 11.38 × = 0
or
11.38 × = - 1.14
or
= - 0.100
here, negative sign means that the velocity is in downward direction as upward is positive
2.
3.
4.
This fraction is
5.
6.
7.
8.
9.
from 8.45am to 12.45pm - 4 hours
I earn
10.
48 minutes = 1 hour - 12 min
21.15 - 1 hour = 20.15
20.15 + 12 min = 20.27
11.
12.
I get up at 6.45am
13.
14.
15.
3.
4.
This fraction is
5.
6.
7.
8.
9.
from 8.45am to 12.45pm - 4 hours
I earn
10.
48 minutes = 1 hour - 12 min
21.15 - 1 hour = 20.15
20.15 + 12 min = 20.27
11.
12.
I get up at 6.45am
13.
14.
15.