Answer:
Step-by-step explanation:
f(4) = 4(4) + 5
f4= 16 + 5
f4= 21
f = 21/4
f= 5.25
Four to the second power is just 4^2 which is equal to 16 (4*4 = 16)
Four the the eight power is just 4^8 which is equal to 65536 (4*4*4*4*4*4*4*4 = 65536)
5 .... Hope it helps, have a good rest of the day:)
Answer:
V = π /2 volume units
Step-by-step explanation:
Volume of y = √x bounded by y = x and y = 1
y = √x
limits of integration ( see Annex )
By simple inspection limits of integration are x = 0 to x = 1
or y = √x and y = x
solving these two equations
x = 0 y = 0 x = 1 y = ± 1
V = ∫ π*f(x)²*dx
V = π * ∫₀¹ x*dx = π * x²/2 |₀¹
V = π * (1/2) - 0
V = π /2 volume units
Answer:
A= 1038 in²....
Step-by-step explanation:
There are several ways to find the area of a regular hexagon
In a regular hexagon, split the figure into triangles.
Find the area of one triangle.
Multiply this value by six.
We will apply the formula of area of regular polygon:
A= 1/2r²nsin(360/n)
r = radius
n = number of sides of the regular polygon
We know that,
r= 20 in
n= 6
Now substitute the values in the formula:
A= 1/2(20)²(6)sin(360/6)
A= (20)²(3)sin(360/6)
A= (20)²(3)sin(60)
A=3*(20)² *√3/2
A= 1200 * √3/2
A= 600*√3
A= 1038 in²....
Therefore the approximate area of hexagon is 1038 in²....
