Hope this isn't too confusing
All of the numbers have different shortcuts.
1. Yes. Divisible by 4: if last two digits are divisible by 4 then the whole number is yes)
2. No. Divisible by 6: it must be even and when you add them up, (44) it must be divisible by 3 (no, 44 is not divisible by 3)
3. Divisible by 8: ( last 3 numbers are divisible by 8 (312) = 39 ( yes it is)
4 Yes. Divisible by 11: ( sum of digits at odd places and sum of digits at even spaces,is either 0 or divisible by 11) yes, 278949. (2+8+9) + (7+9+9)= 19 + 25 = 44 and 44 is divisible by 11)
5. No. Divisible by 12 (divisible by 3 and 4, sum of digits is divisible by 3 ; and last 2 digits divisible by 4: 87654395 : 52/3= 18 (yes) 95/4(no) this number not divisible by 12
6. No. Divisible by 15: divisible by 3 and 5 ..87654385 = 46/3 = 15..(No) divisible by 5 yes. The number is not divisible by 15
The answer is :
.0085470085
Hope This Helps!!
:)
Hello,
y= x^3-4x²-3x+18=(x-3)²*(x+2)
y'=3x²-8x-3
y''=6x-8
1) Stationary points
Maximun: x=-1/3 ==>y=18,5185....
Minimum: x=3 ===>y=0 (double root)
2) x=4/3: point of inflection. (y''=0 and change sign)
Answer:
Area of trapezoid = 67.6 square units
Step-by-step explanation:
Area of a trapezoid is given by the expression,
Area of the trapezoid = 
Here,
and
are the parallel sides of the given trapezoid.
And '
' = Height between the parallel sides
From the given triangle ABE,
m(∠ABE) = m(∠ABC) - m(∠EBC)
m(∠ABE) = 120° - 90°
= 30°
By applying cosine rule in the given triangle,
cos(30°) = 


BE =
units
By applying sine rule in ΔABE,
sin(30°) = 


AE = 3 units
Length of 
Length of
[AE = FD, since given trapezoid ABCD is an isosceles trapezoid]


Height between the parallel sides 
Area of the trapezoid = 
= 
= 
= 67.6 square units