The value of "z" equals 8
<span>here is the answer x = -147
Hope its the answer
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Answer:
The total volume of the water in the tank after 20 minutes = 1220 gallons
Step-by-step explanation:
Rate of water pumped into the tank r (t) = 30 (1 -
)
Initial volume of water in the tank = 800 gallons
The water in the tank after 20 minutes = Initial volume of water in the tank + Volume of water being pumped in the tank

= 
Where a = 0 , b = 20
Put the value of r (t) in above equation we get
= 
= ![30 [ t + \frac{e^{-0.16t} }{0.16} ]](https://tex.z-dn.net/?f=30%20%5B%20t%20%2B%20%5Cfrac%7Be%5E%7B-0.16t%7D%20%7D%7B0.16%7D%20%5D)
= 
= 420 gallon
Now, total volume in the tank



Therefore the total volume of the water in the tank after 20 minutes = 1220 gallons
Answer:
D. 578pi
Step-by-step explanation:
Sorry if that's wrong
Answer:

Step-by-step Explanation:
Given:
∆UVW,
m < U = 33°
m < V = 113°
VW = u = 29 m
Required:
Area of ∆UVW
Solution:
Find side length UV using Law of Sines

U = 33°
u = VW = 29 m
W = 180 - (33+113) = 34°
w = UV = ?

Cross multiply

Divide both sides by sin(33) to make w the subject of formula



(rounded to nearest whole number)
Find the area of ∆UVW using the formula,



(to nearest tenth).