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4 years ago

4) Kevin and his team do not know what direction Mike went when he left the trail. This means that they will have

Mathematics

1 answer:

aalyn [17]4 years ago

8 0

Answer:

Step-by-step explanation:

Distance traveled by Mike in 12 hours = 4 * 12 = 48 km

This will become the radius of the circle

r = 48 km

Area of the circle to be searched = πr²

= 3.14 * 48 * 48

= 7234.56 square km

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Convert 59°F to Celsius, using the formula C = (F - 32). 1°C 15°C 49°C 51°C

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Step-by-step explanation:

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3 years ago

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Drupady [299]

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3 years ago

For the amusement of the guests, some hotels have elevators on the outside of the building. One such hotel is 400 feet high. You

Mariana [72]

9514 1404 393

Answer:

a. h(t) = -20t +400

b. θ(t) = arctan(2 -2/15t); dθ/dt = -30/(1125 -120t +4t^2)

c. 15 seconds; 100 ft

Step-by-step explanation:

a. The initial height of the elevator is 400 ft. The rate of change of height is -20 ft/s, so the height equation can be ...

h(t) = -20t +400

b. The tangent of the angle above the line of sight is "opposite"/"adjacent":

tan(θ) = (h(t) -100)/(150) = -2/15t +2

θ(t) = arctan(2 -2/15t) . . . . radians

The derivative of the angle function is ...

dθ/dt = 1/(1+(2 -2/15t)^2)(-2/15)

dθ/dt = -30/(1125 -120t +4t^2)

c. The value of dθ/dt will have a peak where the denominator has a minimum, at t = -(-120)/2(4)) = 15. (The quadratic vertex coordinate is t=-b/(2a).)

The elevator appears to be moving fastest at t=15 seconds.

The height at that time is ...

h(15) = 400 -20(15) = 100

The elevator appears to be moving fastest when it is at eye level, 100 ft above the ground.

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3 years ago