Answer:
Step-by-step explanation:
If there are 9 marbles in total and the desired outcome is to pick a green marble then the probability is =
which simplifies down to a third.
Paul is driving his car. At the end of two hours he has driven 68 miles, then at the end of 4 hours he has driven 132 miles. Wha
1 answer:
This problem describes two points in a route of 4 hours. He went through 68 miles after the first two hours, and 132 miles after 4 hours of driving. We need to calculate the average rate of change.
The average rate of change is the division between the total distance and the time it took to travel that distance, so we have:
The average rate of change is equal to 33 miles per hour.
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Let
point A----------------- > Bob
point B----------------- > lamppost that is to Bob left
point C----------------- > lamppost that is to Bob right
we know that
dAB=25 ft
dAC=30 ft
dBC=20 ft
see the attached figure
we use the law of cosines------------- > dBC²=dAB² +dAC² -2(dAB)(dAC)cos(alfa)
we have that
20²=25² +30² -2(25)(30)cos(alfa)-------- > cos (alfa)=(20²-(25² +30²))/(-2*25*30)
cos (alfa)=(400-(625 +900))/(-1500)= (400-(625 +900))/(-1500)=1125/1500=0.75
<span>alfa=arccos (0.75)= 41.4096 -------- > 41 °-------- > </span>∡ BAC
the answer is 41 °