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
7+9=16 you can use that cause that is the opposite equation
Answer:
Step-by-step explanation:
Then the other angle must be 44 degrees as well.
If you simplify 2xy+8x-8x-32 you get 2xy-32
90° is equal to 
or 1.5707 radians.
Step-by-step explanation:
Step 1:
If an angle is represented in degrees, it will be of the form x°.
If an angle is represented in radians, it will be of the form 
radians.
To convert degrees to radians, we multiply the degree measure by 
.
For the conversion of degrees to radians,
the degrees in radians = (given value in degrees)().
Step 2:
To convert
90°,
radians.
So 90° is equal to or 1.5707 radians.
