The formula you use to find the surface area of a sphere is A=4 π r^2
4×π = 12.5663706143
r = 4
4^2 = 16
12.5663706143 × 16 = 201.061929829
Final answer: the surface area is about 201 ft.
Answer:
Height is 10 units
Volume is 785 cubic units
Step-by-step explanation:
We are given;
Diameter of a cylinder as 10 units
But, radius = d/2
= 5 units
Height is twice its radius,
Thus, Height = 10 units
We can get the volume;
Volume of a cylinder = pir²H
Taking pi to be 3.14
Then;
Volume = 3.14 × 5²× 10
= 785 cubic units
Thus, the volume of the cylinder is about 785 cubic units
Answer:
0.09 or 9%
Step-by-step explanation:
Formula:
I = Prt
r = I/(Pt)
Given:
I = 1350
P = 5000
t = 3
Finding r:
r = I/(Pt)
r = 1350/(5000 x 3)
r = 1350/15000
r = 0.09
0.09 or 9%
Answer:
D. (x, y) → (-x, -y)
Step-by-step explanation:
A. (x,y) → (y,x) . . . . reflects across the line y=x
B. (x,y) → (y,-x) . . . . rotates 90° CCW
C. (x,y) → (-y,-x) . . . . reflects across the line y=-x
D. (x,y) → (-x,-y) . . . . rotates 180° about the origin
Roots with imaginary parts always occur in conjugate pairs. Three of the four roots are known and they are all real, which means the fourth root must also be real.
Because we know 3 and -1 (multiplicity 2) are both roots, the last root 
is such that we can write
There are a few ways we can go about finding , but the easiest way would be to consider only the constant term in the expansion of the right hand side. We don't have to actually compute the expansion, because we know by properties of multiplication that the constant term will be 
.
Meanwhile, on the left hand side, we see the constant term is supposed to be 9, which means we have
so the missing root is 3.
Other things we could have tried that spring to mind:
- three rounds of division, dividing the quartic polynomial by 
, then by 
twice, and noting that the remainder upon each division should be 0
- rational root theorem
