1/4 = 5/20
2/5 = 8/20
8/20 + 5/20 = 13/20 has been spent
Answer:
Option 3
Step-by-step explanation:
We want to work out the surface-area
This is a cylinder and the formula for the surface area of a cylinder is :
2πrh+2πr^2
^ means to the power of
The radius is 15
The length is 18
2(3.14)(15)(18) + 2(3.14){15}^2
Part 1:
(6.28)(15)(18)
(6.28)(270)
1695.6
Part 2:
First, we do the exponents,
15^2 = 225
(6.28)(225)
1413
Part 3:
1695.6 + 1413 = 3108.6
Answer: 3108.6
Hope this helps :)
Answer:
Step-by-step explanation:
1) m∠1 +m∠2 + m∠3 = m∠LAM (Angle addition postulate)
2) m∠1 + m∠2 + m∠3 = 180 (def. of straight angle)
3) y║z (Given)
4) ∠1 ≅ ∠5 (alternate interior angles theorem)
5) ∠3 ≅ ∠6 (alternate interior angles theorem)
6) Since m∠1 + m∠2 + m∠3 = 180
m∠5 + m∠2 + m∠6 = 180
Hence proved.
Whole number
integer
natural number
rational
Let u = x.lnx, , w= x and t = lnx; w' =1 ; t' = 1/x
f(x) = e^(x.lnx) ; f(u) = e^(u); f'(u) = u'.e^(u)
let' find the derivative u' of u
u = w.t
u'= w't + t'w; u' = lnx + x/x = lnx+1
u' = x+1 and f'(u) = ln(x+1).e^(xlnx)
finally the derivative of f(x) =ln(x+1).e^(x.lnx) + 2x
