A card isn’t drawn from a standard 52 card deck (no jokers) Mach each event with it’s probability
1 answer:
You might be interested in
Answer:
The salary after four consecutive increase = $ 46794.34
Step-by-step explanation:
According to question,
salary of MR. John = $ 40000 per year
percentage py increase = 4%
Let the salary after four consecutive pay increase = x
So, X = 40000 (1 +)^4
Or, X = 40000 ()^4
Or, X = 46794.34
Hence the salary increase after four consecutive pay increase at 4% = $46794.34 Answer
Answer:
The shadow is decreasing at the rate of 3.55 inch/min
Step-by-step explanation:
The height of the building = 60ft
The shadow of the building on the level ground is 25ft long
Ѳ is increasing at the rate of 0.24°/min
Using SOHCAHTOA,
Tan Ѳ = opposite/ adjacent
= height of the building / length of the shadow
Tan Ѳ = h/x
X= h/tan Ѳ
Recall that tan Ѳ = sin Ѳ/cos Ѳ
X= h/x (sin Ѳ/cos Ѳ)
Differentiate with respect to t
dx/dt = (-h/sin²Ѳ)dѲ/dt
When x= 25ft
tanѲ = h/x
= 60/25
Ѳ= tan^-1(60/25)
= 67.38°
dѲ/dt= 0.24°/min
Convert the height in ft to inches
1 ft = 12 inches
Therefore, 60ft = 60*12
= 720 inches
Convert degree/min to radian/min
1°= 0.0175radian
Therefore, 0.24° = 0.24 * 0.0175
= 0.0042 radian/min
Recall that
dx/dt = (-h/sin²Ѳ)dѲ/dt
= (-720/sin²(67.38))*0.0042
= (-720/0.8521)*0.0042
-3.55 inch/min
Therefore, the rate at which the length of the shadow of the building decreases is 3.55 inches/min
Answer:
See attached
Step-by-step explanation:
Answer is attached
Answer:
option 3
Step-by-step explanation: