Answer:
x = √2 = 1.414
Step-by-step explanation:
5x-(x+2)^2=x^2-8+x
since (x+2)^2 = x^2 + 2(x)(2) + 2^2 = x^2 + 4x + 4
so
5x - (x^2 + 4x + 4) = x^2 + x - 8
-x^2 + x - 4 = x^2 + x - 8
x^2 + x^2 + x - x = -4 + 8
2x^2 = 4
x^2 = 2
x = √2 = 1.414
Answer:
getting the queen is smaller
5/8
Step-by-step explanation:
There are 4 queens in a 52 card deck
P(queen) = 4/52 = 1/13
There are 12 pairs socks, 3 of which are grey
P(grey socks) = 3/12 = 1/4
1/13 <1/4
So getting a queen is smaller
The possible outcomes
8 +0 9+0 10+0 <em> 11+0</em>
8+1 9+1 <em> 10+1 11+1</em>
8+2<em> 9+2 10+2 11+2</em>
<em>8+3 9+3 10+3 11+3</em>
There are 16 outcomes and 10 of them are after 11, (assuming we add the time to the bedtime)
P (bedtime later than 10) = 10/16 = 5/8
Answer:
37.7
Step-by-step explanation:
EF and ED define the Tangent of D
Tan(37) = side opposite D / side adjacent to D
Opposite means a line (FE) that is not connected to the angle. It is never the longest line (hypotenuse) in a Right Triangle
Adjacent means the leg that is connected to the angle, but is not the hypotenuse.
Tan(D) = opposite over adjacent
Opposite = x
Adjacent = 50
Tan(37) = 0.7536 rounded to 4 places, but I've kept the exact value in my calculator.
0.7536 = x / 50 Multiply both sides by 50
0.7536*50 = x
x = 37.6777
The nearest 1/10 is 37.7
Answer:
8*8=64
Step-by-step explanation:
Don't worry! Keep on trying! I hope this helps! Have a great rest of your day!
$13.68 because you do [.18+.06=.24] [18•.24=4.32] [18-4.32=13.68]