Okay
we have the rate of change of AC = d(AC)/dt = -2
the rate of change od BC = d(BC)/dt
area = (1/2) *AC) (BC)
taking differential on both sides we ge
d(A)/dt = 1/2){ (BC) d(AC)/dt + (AC) d(BC)/dt)}....(1)
again
when AC= 3
applying pythagorous thm
we get
(5)^2 =(3)^2 +(BC)^2
hence we get BC = 4
now we need to find d(BC)/dt
we have
(5)^2 = (AC)^2 +(BC)^2
taking differenial
0=2(AC) d(AC/dt) +2BC d(BC)/dt
that is
d(BC)/dt = -(3) *(-2)/4 ..(at AC =3)
hence
d(BC)/dt = 3/2
substituting these values in equation (1)
d(A)/dt = (1/2) {4 * -2 + 3 *3/2}
which gives
<span>d(A)/dt = -7/4
</span>The rate, in square feet per second, at which <span>the area is changing when AC = 3 is -7/4 ft/sec.
I hope my answer has come to your help. Thank you for posting your question here in Brainly.
</span>
Answer:
12 different sums
Step-by-step explanation:
there's three darts and three numbers.
if you use the factorial 3! for both the number of darts and the score numbers and add the two together, you would get twelve :
( 3! = 3*2*1 = 6 ) * 2
6 + 6 = 12
or you could just write out all the combinations like this :
2+2+2
2+2+5
2+5+5
2+5+8
2+8+8
5+5+2
5+5+5
5+5+8
5+8+8
8+8+2
8+8+5
8+8+8
Answer:
π/2 = 90°
Step-by-step explanation:
Given that,
Radian measure = π/2
The formula used to convert radian measure to degree measure is given by :
So, the degree matches for π/2 is 90°.
Answer:
He spent 10 dollars
Step-by-step explanation:
Because, 10, 20, 30, 40, 50, 60, 70, 80, 90, 100.
And that's 10 days, so he spent 10 dollars for everyday. hope that helps!
Sorry if its wrong.
Area = Length x width
Assuming width = x, that makes length = x + 2
Since width can't be a negative number, so it's 4 feet.
Answer : Length is 6 feet.
Hope this helps. - M
