Answer: 195
Step-by-step explanation: 5*13*6=390
390/2=195
Ya, calculus and related rates, such fun!
everything is changing with respect to t
altitude rate will be dh/dt and that is 1cm/min
dh/dt=1cm/min
area will be da/dt which is increasing at 2cm²/min
da/dt=2cm²/min
base=db/dt
alright
area=1/2bh
take dervitivie of both sides
da/dt=1/2((db/dt)(h)+(dh/dt)(b))
solve for db/dt
distribute
da/dt=1/2(db/dt)(h)+1/2(dh/dt)(b)
move
da/dt-1/2(dh/dt)(b)=1/2(db/dt)(h)
times 2 both sides
2da/dt-(dh/dt)(b)=(db/dt)(h)
divide by h
(2da/dt-(dh/dt)(b))/h=db/dt
ok
we know
height=10
area=100
so
a=1/2bh
100=1/2b10
100=5b
20=b
so
h=10
b=20
da/dt=2cm²/min
dh/dt=1cm/min
therefor
(2(2cm²/min)-(1cm/min)(20cm))/10cm=db/dt
(4cm²/min-20cm²/min)/10cm=db/dt
(-16cm²/min)/10cm=db/dt
-1.6cm/min=db/dt
the base is decreasing at 1.6cm/min
Answer:
Step-by-step explanation:
You need an image for problem to be solved, please repost it with a image, so it can be solved
Answer:
A = 400 cm^2
Step-by-step explanation:
The perimeter of a square is given by
P = 4s where s is the side length
80 = 4s
Divide each side by 4
80/4 = 4s/4
20 =s
We want to find the area of the square
A = s^2
A = 20^2
A = 400 cm^2
Answer: 64<em>% were girls</em>
Step-by-step explanation:
<em>Add 320 with 180</em>
<em>320+180=500</em>
<em>take 500 and divide it by 320</em>
<em>320/500 = 64</em><em>%</em>
