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
Answer:
999
Step-by-step explanation:
x - 13 = 1012
x= 999
Hi there!
<u>Here's the answer;</u>
37/5+65/32 =
9.43125.
Hope this helps, if it does, please consider marking me brainiest! <3
Answer:
Step-by-step explanation:
Slope:
when the given points are
and ![(x_2,y_2)](https://tex.z-dn.net/?f=%28x_2%2Cy_2%29)
Plug in A(8,3) and B(4,8)
![=\frac{8-3}{4-8} \\=\frac{5}{-4}\\=-\frac{5}{4}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B8-3%7D%7B4-8%7D%20%5C%5C%3D%5Cfrac%7B5%7D%7B-4%7D%5C%5C%3D-%5Cfrac%7B5%7D%7B4%7D)
Therefore, the slope of AB is
.
I hope this helps!