Answer:
6.78ft/sec
Step-by-step explanation:
From the question, dx/dt= 3.9 ft/sec
We are looking for Dy/dt
From geometry,vof this case the relationship between x and y is needed here, there is two similar triangle that exhibited by the man and the lamb
12/y= 5.1/(y-x)
Then ,cross multiply, we have
12(y-x)=5.1y
12y-12x=5.1y
12y-5.1y=12x
6.9y=12x
y=( 12/6.9)x
Differentiating implicitly the bother sides with respect to t, we have
Dy/dt= ( 12/6.9)dx/dt
But dx/dt= 3.9 ft/sec
Then Dy/dt= ( 12/6.9)× 3.9
Dy/dt=6.78ft/sec
Hence, the rate that the tip of the person's shadow moves away from the lamppost when the person is 9 ft away from the lampost is 6.78ft/sec
CHECK THE ATTACHMENT FOR THE FIQURE
If I'm right the principal amount is $1,000 and the interest(if $1,550) is $550 in the transaction.
Answer:
1. rational number
2. a positive rational number
Step-by-step explanation:
A rational number is a number that can be expressed as a simple fraction. When two rational numbers are multiplied together, the only logical answer would be for the outcome/product to also be rational.
The reciprocal of a positive rational number is also a positive rational number because if the original number was negative, the reciprocal would also be negative since the signs wouldn't change (in this case, the original number is positive). Since the original number is already a rational number, just by flipping it (the reciprocal), it would not change to an irrational, but instead stay the same.
Answer:
<em>58.7 ft/sec</em>
Step-by-step explanation:
The train traveled half a mile.
1 mile = 5280 ft
0.5 mile = 0.5 * 5280 ft = 2640 ft
A time from 10 sec to 55 sec is 55 sec - 10 sec = 45 seconds.
2640 ft in 45 seconds
speed = distance/time
speed = 2640 ft / 45 sec = 58.6666... ft/sec
Answer: speed = 58.7 ft/sec
Answer:
g
Step-by-step explanation:
