Answer:
dx/dt = 0,04 m/sec
Step-by-step explanation:
Area of the circle is:
A(c) =π*x² where x is a radius of the circle
Applying differentiation in relation to time we get:
dA(c)/dt = π*2*x* dx/dt
In this equation we know:
dA(c)/dt = 0,5 m²/sec
And are looking for dx/dt then
0,5 = 2*π*x*dx/dt when the area of the sheet is 12 m² (1)
When A(c) = 12 m² x = ??
A(c) = 12 = π*x² ⇒ 12 = 3.14* x² ⇒ 12/3.14 = x²
x² = 3,82 ⇒ x = √3,82 ⇒ x = 1,954 m
Finally plugging ths value in equation (1)
0,5 = 6,28*1,954*dx/dt
dx/dt = 0,5 /12.28
dx/dt = 0,04 m/sec
we know that
the area of the rectangular banner is equal to

where
W is the wide of the banner
h is the height of the banner
in this problem


In the formula of the area solve for h

Substitute the values of W and A

therefore
the answer is
the height of the banner is 
Answer:
$25.50
Step-by-step explanation:
because the magnitude of the debt is the distance from zero.
Answer:
61 degrees
Step-by-step explanation:
A triangle has a total of 180 degrees. We already know 80 and 39. 80+39 is 119. 180-119+61
Answer:
8.33333333333
Step-by-step explanation:
Solution for 3x-7=18 equation:
3x - 7 = 18
3x = 18 + 7
3x = 25 (divide both sides by 3 to get x)
3x/3 = 25/3
x = 8.33333333333