Answer:
a^4+3a^2-3b^2
Step-by-step explanation:

Answer:
136 ft^2
Step-by-step explanation:
Surface area = 2 [ (l*w) + (l*h) + (w*h) ]
= 2 [ (8*3) + (8*4) + (4*3) ]
= 136 ft^2
Answer:
x = pi/2 + 2 pi n x = pi + 2 pi n where n is an integer
x = 5pi /3 + 2 pi n
Step-by-step explanation:
8 cos^2 x + 4 cos x-4 = 0
Divide by 4
2 cos^2 x + cos x-1 = 0
Let u = cos x
2 u^2 +u -1 =0
Factor
(2u -1) ( u+1) = 0
Using the zero product property
2u-1 =0 u+1 =0
u = 1/2 u = -1
Substitute cosx for u
cos x = 1/2 cos x = -1
Take the inverse cos on each side
cos ^-1(cos x) = cos ^-1(1/2) cos ^-1( cos x) =cos ^-1( -1)
x = pi/2 + 2 pi n x = pi + 2 pi n where n is an integer
x = 5pi /3 + 2 pi n
Three-hundred and nine million, ninety-nine thousand, nine-hundred and ninety
Answer:
$590.50
Step-by-step explanation:
Juan earns $310 every week.
He earns 5.5% on merchandise sold.
On a week he sells $5100, we need to figure 5.5% of that amount and then add $310.
$5100
X .055
______
$280.50 commission.
+ 310.00 salary for the week
_______
$590.50