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
Answer:
-b/2+35
Step-by-step explanation:
Hope I helped :)
7.
remember
(ab)/(cd)=(a/c)(b/d)
we can split them up
and
(x^m)/(x^n)=x^(m-n)
=
9.
2 to 3
4(x-1)=15
to
4x-1=15
the distribuutive prperty
a(b-c)=ab-ac
what he did was
a(b-c)=ab-c
he did not distribute the 4 to the -1
4(x-1)+3=18
minus 3
4(x-1)=15
distribute 4 to x and -1
4x-4=15
add 4 to both sides
4x=19
divide by 4
x=19/4
Happy to help :)
after 1 yr- 3905.25 km2
2 yrs- approx. 3719.75 km2
3 yrs- approx. 3543.06 km2
4 yrs- approx. 3374.77 km2
5 yrs- approx. 3214.47 km2
The full decimal for the 5 yr mark is 3214.46557 km2 (not sure if you needed it)
To solve you would convert 4.75% into .0475 as a decimal, then subtract that from 1 (which acts as 100%) and you get .9525, then just multiply that by 4100 and each number that results from that ;)
