Answer:
a) 28,662 cm² max error
0,0111 relative error
b) 102,692 cm³ max error
0,004 relative error
Step-by-step explanation:
Length of cicumference is: 90 cm
L = 2*π*r
Applying differentiation on both sides f the equation
dL = 2*π* dr ⇒ dr = 0,5 / 2*π
dr = 1/4π
The equation for the volume of the sphere is
V(s) = 4/3*π*r³ and for the surface area is
S(s) = 4*π*r²
Differentiating
a) dS(s) = 4*2*π*r* dr ⇒ where 2*π*r = L = 90
Then
dS(s) = 4*90 (1/4*π)
dS(s) = 28.662 cm² ( Maximum error since dr = (1/4π) is maximum error
For relative error
DS´(s) = (90/π) / 4*π*r²
DS´(s) = 90 / 4*π*(L/2*π)² ⇒ DS(s) = 2 /180
DS´(s) = 0,0111 cm²
b) V(s) = 4/3*π*r³
Differentiating we get:
DV(s) = 4*π*r² dr
Maximum error
DV(s) = 4*π*r² ( 1/ 4*π*) ⇒ DV(s) = (90)² / 8*π²
DV(s) = 102,692 cm³ max error
Relative error
DV´(v) = (90)² / 8*π²/ 4/3*π*r³
DV´(v) = 1/240
DV´(v) = 0,004
All the interior angles of a triangle always add up to 180 degrees.
3x + (2x + 20) + (4x - 20) = 180
3x + 2x + 20 + 4x - 20 = 180
3x + 2x + 4x + 20 - 20 = 180
10x = 180
x = 180/10
Therefore, x = 18
Answer:
Step-by-step explanation:
We were given the slope formula;
This line is vertical if the denominator is zero.
That is when 
This implies that;
Justification;
When , then, the line passes through;
and 
The slope now become
The equation of the line is
This implies that;
... This is the equation of a vertical line.
Its 360 beacuse u multiply all of those numbers
Answer:
Scott will have to do 44 practices
Step-by-step explanation:
Let X be the number of yards per practice.
Let P = number of practice Scott needs to do.
Multiply 20 yards by 4 sprints
X = 20yards × 4 sprints = 80 yards
Number of yards he had to sprint per practice will be:
1 mile = 1760 yards
Converting from miles to yards
X = 1760 × 2 miles = 3520 yards
Number of practice,P Scott need to do = (3520/80)yards
Number of Practice,P = 44
