Answer:
Step-by-step explanation:
a) ΔACD ~ ΔABE so the ratios of corresponding sides are the same. That is ...
CD/BE = CA/BA
CD/3.8 = 12.3/8.2
CD = 3.8×12.3/8.2 = 5.7 . . . . cm
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b) As above, the ratios of corresponding sides are the same.
ED/AD = BC/AC
ED/9.15 = (12.3-8.2)/12.3 . . . . BC = AC - AB
ED = 9.15×4.1/12.3 = 3.05 . . . . cm
Solve
hmmm
half life
well, 120 to 60 is half
60=120e^(-0.00043t)
solve for t
divide both sides by 120
1/2=e^(-0.00043t)
take ln of both sides
ln(1/2)=-0.00043t
divide both sides by -0.00043
ln(1/2)/-0.00043=t
t≈1611.97 years
about 1612 years
Answer:
0.3425 = 34.25% probability it will be off probation in February 2020
Step-by-step explanation:
We have these desired outcomes:
Off probation in July 2019, with 0.25 probability, then continuing off in January, with 1 - 0.08 = 0.92 probability.
Still in probation in July 2019, with 1 - 0.25 = 0.75 probability, then coming off in January, with 0.15 probability.
What is the probability it will be off probation in February 2020?

0.3425 = 34.25% probability it will be off probation in February 2020
So, she wants to be at school at 7.40 (5 mins early)
she needs:
15 mins
5/12 hours (which is

, so 25 mins
so far: 40 mins
then 0.7 and 0.15: we can add those, since they're in decimals: 0.85.
how many minutes is this?

so 39 mins.
together with the previous 40, it's 79 minutes, which is 1 hour and 19 minutes: so she needs to wake up 1 hour and 19 minutes before 7.40 , which is
6.21!