Answer:
-23.18, -0.82
Step-by-step explanation:
- h² + 24h + 19 = 0
- h²+2h*12+12²-125=0
- (h+12)²-√125²=0
- (h+12+11.18)(h+12-11.18)=0
- (h+23.18)(h+0.82)=0
- h+23.18=0 ⇒ h= -23.18
- h+0.82=0 ⇒ h= -0.82
Use Pythagoras to get the height, the use it to find x:
26^2-11^2 =555
555^1/2(square root of 555)
=23.55843798 ~you need this number left as it is for a more accurate answer.
Then you do
42^2-23.55...^2(which we know is 555)
Then whatever that equals you square root that
Then you round up the answer to that to get the final answer.
I left the last part so you can do it and do some active learning, if you have more questions on this please feel free to ask, hope this helps
8 large red, 5 small red, 7 large blue, 4 small blue:
totally = 24 marbles
P(red)= 13/24
let A red and B large
P(A/B)= P(A∩B)/P(B)
P(B)= 15/24 =.625
P(A∩B)= 8/24 = .333
P(A/B) =.333/.625 =.533
P(B/A) =.625/.333= 1.875
so the probability of p(large/red) is larger.
Answer:
area - 6 x 2 = 12
area lateral surface - 7 x 6 = 42
The expression for the balance (b) in terms of the number of years (t) can be written as
... b = 2000·2^(t/19) . . . . . . the amount grows exponentially, and is is doubled when t=19
Then for t=5, the balance is
... b = 2000·2^(5/19) ≈ 2400
The best choice is ...
... A. $2400