Answer:
The time will depend on the number of people who move on each trip from the point of origin to the destination. If done at the maximum speed allowed using 100 vehicles of 50 seats each, the evacuation would be done in 63.68 hours
Step-by-step explanation:
Population = 91,000 ppl
Speed limit = 60 mph
Distance = 21 miles.
1. <em>Assuming that people is evacuated at the max. speed allowed, it means that each trip will take</em>:
T = D/V
D= 21 miles
V = 60 mph:
So;
T = 21 miles / 60mph
T= 0,35 h
2. Asumming that we are going to use an amount of 100 vehicles with 50-seats in each trip for evacuating people, it means that we could evacuate
500 people every 0,35 h ≈ 1,429 ppl/hour <em>(evacuation rate)</em>
To know how long it would take us to evacuate 91,000 people under these conditions, we would have to divide the total amount by the previously calculated evacuation rate
T= 91,000/ 1,429 = 63,68 hours
I Tired To Explain It As Best As I Could.
Isolate the variable by dividing each side by factors that don’t contain the variable.
24 = x • 30
Use The Commutative Property To Reorder The Terms
24 = 30x
Swap The Sides Of The Equations
30x = 24
Divide Both Sides Of The Equations By 30
30x ÷ 30 = 24 ÷ 30
Any Expression Divided By Itself Equals 1
x= 24 ÷ 30 or x =24/30
Reduce The Fraction With 6
x = 4/5
Exact Form:
x = 4/5
Decimal Form:
x = 0.8
The 18th month he will have to change both,
I hope this helped!
Step-by-step explanation:
multiple possibilities.
e.g.
we could use Pythagoras to get QR, and then use the law of sine to get angle P.
or we can use the law of sine to get angle R, and then use the rule that the sum of all angles in a triangle is always 180° to get angle P.
I propose the second option :
the law of sine :
a/sin(A) = b/sin(B) = c/sin(C)
with a, b, c being the sides always opposite of their associated angles.
33.8/sin(R) = 57.6/sin(90) = 57.6
sin(R) = 33.8/57.6 = 0.586805555...
R = 35.93064691...°
180 = 90 + 35.93064691... + P
P = 54.06935309...°