Answer:
18.8 feet
Step-by-step explanation:
\tan M = \frac{\text{opposite}}{\text{adjacent}}=\frac{x}{5.4}
tanM=
adjacent
opposite
=
5.4
x
\tan 74=\frac{x}{5.4}
tan74=
5.4
x
5.4\tan 74=x
5.4tan74=x
Cross multiply.
x=18.832\approx \mathbf{18.8}\text{ feet}
x=18.832≈18.8 feet
Type into calculator and roundto the nearest tenth of a foot.
M
N
O
5.4
18.8
(adjacent to ∠M)
(opp. of ∠M)
(hypotenuse)
74°
DB/dt = k*B
dB/(kB) = dt
Integrating both sides:
1/k*ln|B| = t + C
B = C*e^(kt)
At time t = 0, B = 4000 and at time t = 3 (3 hours past 9 AM), B = 4500
4000 = C
4500 = 4000*e^(3k) => k = 1/3*ln(9/8)
At time t = 15 (Midnight), B = 4000*e^(1/3*ln(9/8)*15) = 4000*(9/8)^5 = 7208 bacteria
Answer:c
Step-by-step explanation:
The answer is 269. Hope this helped!! Could I possibly get brainliest!? :)
