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:
1) one hundred twenty million five hundred forty thousand
2) 2,040 (equation: 4(5 x 102))
3) 1,872
4) 9.25, 9.325, 9.5, 9.675
5) 18.4
6) 108 (equation: 3(21) + 3(15))
7) $0.95
8) $2.50
Step-by-step explanation:
this was long
Answer:
7*6=42 cm
Step-by-step explanation:
length*Width
Answer:
See explanation
Step-by-step explanation:
The first thing to do when given a data set is to ensure that the x-values are spaced in equal intervals.
The next is now to determine if the given y-values are increasing by the same amount(a common difference) or by the same ratio(a common ratio).
The data set is linear if the y-values increase by a common difference and the data set is exponential if the y-values increase by a ratio or factor.
Answer:
see below
Step-by-step explanation:
2:
# of sides = 3
# of vertices = 3
name of shape: triangle
3.
# of sides = 4
# of vertices = 4
name of shape: quadrilateral
4.
# of sides = 5
# of vertices = 5
name of shape: pentagon
5.
# of sides = 6
# of vertices = 6
name of shape: hexagon
6.
# of sides = 8
# of vertices = 8
name of shape: octagon