For this we will use kinematic equations.
We need the time of flight to compute the range.
With the given information, the most useful formula is:
Δy=v0yt−g2t2
Because our equation is taking only vertical motion into account,
v0y=30sin(45)
Because we are looking for the range of the object,
Δy=0
This leaves us with only one unknown: t
0=30sin(45)t−g2t2
g2t2=30sin(45)t
g2t=30sin(45)
t=60gsin(45)
For horizontal distance, the formula we need is:
Δx=v0xt
Because we are taking into account the horizontal range,
v0x=30cos(45)
In substituting our derived values into the equation we can see that:
Δx=30cos(45)∗60gsin(45)
Range=30cos(45)∗60gsin(45)
Answer:to get a new pair of shoes
Explanation:because she needs them for her mom to remind her of the marraige that her mom and her dad used to have now that her mom and her dad are going through things now she thinks that they are going to break up when they really arent
Answer:
1/4 sugar = 5 glasses
1/4 x 22/5 sugar = 5 x 22/5 glasses
22/20 sugar = 22 glasses
1 1/10 cup of sugar = 22 glasses lemonade
8 1/3% of Jar B’s marbles need to be moved to jar A to make them equal. This is because:
If Jar A has 100 marbles and B has 120 marbles which is 20% more than Jar A then 10 marbles would have to be moved from Jar B to Jar A. To calculate the percentage it would be 10/120 which reduces to .0833 repeating or 8 1/3%.
Hope this helps :)
Answer:
54 dollars
Explanation:
Because this problem involves simple interest, and the money is only deposited for one year, you can calculate the amount of money in the bank after one year by thinking about a percent increase. Johnny starts with 50 dollars in his bank account, and we are given that he will experience an 8% increase over the year. This means that the amount of money in his bank account after one year is just 50 + 0.08*50 (the principal amount plus the simple interest, or amount of money that increases during the year). This is equal to 50 + 4, or 54 dollars.
Note that, whenever we are dealing with simple interest, the amount of money in the bank after a certain number of years is just P(1 + PRT), where P is the principal amount, R is the interest rate, and T is the number of years the money is in the bank.
