Answer:
the fifth number is 11
Step-by-step explanation:
8,11,13 and 17, x
the mean is =12 ( which means the sum of the terms divided by the numbers of terms )
to find the mean :
(8+11+13+17+x)/5 =12
5*12=49+x
60-49=x
x=11
A = 2(6)(8)/2 + 8(7) + 7(10) + 6(7)
A = 146 sq m
Therefore the surface area of the triangular prism is 146 m^2.
Iowa has to be greater sales tax because it's $2.70 for Iowa and $2.45 for Tennessee
Answer:
10x^3 - 34x^2 + 33x - 7
Step-by-step explanation:
Multiply each term of the trinomial by each term of the binomial. Then combine like terms.
(2x^2 - 4x + 1)(5x - 7) =
= 10x^3 - 14x^2 - 20x^2 + 28x + 5x - 7
= 10x^3 - 34x^2 + 33x - 7
Hello,
Here is the demonstration in the book Person Guide to Mathematic by Khattar Dinesh.
Let's assume
P=cos(a)*cos(2a)*cos(3a)*....*cos(998a)*cos(999a)
Q=sin(a)*sin(2a)*sin(3a)*....*sin(998a)*sin(999a)
As sin x *cos x=sin (2x) /2
P*Q=1/2*sin(2a)*1/2sin(4a)*1/2*sin(6a)*....
*1/2* sin(2*998a)*1/2*sin(2*999a) (there are 999 factors)
= 1/(2^999) * sin(2a)*sin(4a)*...
*sin(998a)*sin(1000a)*sin(1002a)*....*sin(1996a)*sin(1998a)
as sin(x)=-sin(2pi-x) and 2pi=1999a
sin(1000a)=-sin(2pi-1000a)=-sin(1999a-1000a)=-sin(999a)
sin(1002a)=-sin(2pi-1002a)=-sin(1999a-1002a)=-sin(997a)
...
sin(1996a)=-sin(2pi-1996a)=-sin(1999a-1996a)=-sin(3a)
sin(1998a)=-sin(2pi-1998a)=-sin(1999a-1998a)=-sin(a)
So sin(2a)*sin(4a)*...
*sin(998a)*sin(1000a)*sin(1002a)*....*sin(1996a)*sin(1998a)
= sin(a)*sin(2a)*sin(3a)*....*sin(998)*sin(999) since there are 500 sign "-".
Thus
P*Q=1/2^999*Q or Q!=0 then
P=1/(2^999)