The equation in the problem solves the speed as 48.99 miles per hour. At this speed the car takes 100 feet to stop ( also shown in the equation as they replaced d with 100).
This means any speed below 48.99 miles per hour would stop before hitting the tree.
The fastest the car can go would be 48.98 miles per hour.
Justify by replacing s in the equation with 48.98 and solve for d:
48.98 ^2 = (sqrt( 30(0.8)d)
2399.04 = 24d
D = 2399.04/24
D = 99.96 feet
This is less than 100 feet so the car will not hit the tree.
Newton's Law of Cooling
Tf=Ts+(Ti-Ts)e^(-kt) where Tf is temp at time t, Ts is temp of surroundings, Ti is temp of object/fluid. So we need to find k first.
200=68+(210-68)e^(-10k)
132=142e^(-10k)
132/142=e^(-10k)
ln(132/142)=-10k
k=-ln(132/142)/10
k≈0.0073 so
T(t)=68+142e^(-0.0073t) so how long until it reaches 180°?
180=68+142e^(-0.0073t)
112=142e^(-0.0073t)
112/142=e^(-0.0073t)
ln(112/142)=-0.0073t
t= -ln(112/142)/(0.0073)
t≈32.51 minutes
Answer:
600 ft per side
Step-by-step explanation:
1 in = 200 feet
12 in = 1 foot
12 in * 200 ft= 2400 ft
2400/4 = 600 ft per side
Vertical angles are congruent, so their measures are equal.
Set the angle measures equal and solve for x.
2x + 2 = 3x - 52
-x = -54
x = 54
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| 54 |
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The answer is inside a box.
