Supplementary angles add up to 180 degrees
ratio of 1:4.....added = 5
1/5(180) = 180/5 = 36 <=== smaller angle
4/5(180) = 720/5 = 144 .... larger angle
Note that (a^b)^c=a^(bc) so in this case we have:
(27^(1/3))^2 the cube root of 27=±3
(±3)^2 and ±3^2=9
So the equivalent expression is 9 or if you need an exponent 9^1 :)
I am assuming that you meant 27^(2/3)
First distribute the 2(2+4x)
3x-4+4+8x
then just combine like terms.
8+11x
therefore
3x-4+2(2+4x)=8+11x<span />
Answer:
787.50
Step-by-step explanation:
interest=principle*rate*time/100
interest=3500*7.5*3/100
interest=35*7.5*3
interest=787.50
Answer:
x^2 - 2x - 12 with remainder 12
Step-by-step explanation:
Synthetic division is the fastest way in which to carry out this division.
The divisor (x - 1) from long division corresponds to the divisor 1 in synthetic division. Setting up synthetic division, we get:
1 / 1 -3 -10 24
1 -2 -12
--------------------------------
1 -2 -12 12
The first three digits {1, -2, -12} are the coefficients of the quotient, and 12 represents the remainder:
The quotient is 1x^2 - 2x - 12 and the remainder is 12.