Make vthe subjject of the formulaE=mvsquare/ 2find the value of v when m =2 and E=64
1 answer:
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Answer:
The total number of 50 cent coins in the bag = 36.
Step-by-step explanation:
Let x be the number of 50 cents coins and y be the number of $1 bills.
We have been given that the total amount of money in the bag is $36. We can represent this information as:
We are also told that there are twice as many 50 cents coins as $1 bills. We can represent this information as:
Now we will use substitution method to solve our given system of equations. Upon substituting equation (2) in equation (1) we will get,
Now let us substitute y=18 in equation (2) to find our x.
Therefore, there are 36 fifty cent coins in the bag.
1.7 hrs
Step-by-step explanation:
We can use cosine law to find the distance d:
where. a = 3 mi
b = 4 mi
gamma = 71.7°
d^2 = (3mi)^2 + (4 mi)^2 - 2(3 mi)(4 mi)cos(71.7)
= 9 mi^2 + 16 mi^2 -24cos(71.7)
= 17.464 mi^2
or
d = 4.2 mi
To find the time it takes for him to go from the cave to the waterfall, divide this distance d by his walking rate of 2.5 mi/hr:
t = d/v = 4.2 mi/2.5 mph
= 1.7 hrs