Distance to checkpoint A from starting line = 20 yards.
Then from A to B distance = 12 yards.
Let us take starting point C.
So, it would make a right triangle.
We have AB = 12, AC = 20, we need to find BC, that is Hypotenuse of the right triangle.
According to Pythagoras theorem:
BC = 23.32.
<h3>Therefore, 23.32 yards is the distance from Checkpoint B to the starting line.</h3>
Answer:
3/5
Step-by-step explanation:
It should look like this...
x=3/5
(5*(3/5))=3
5*3 = 15
15/5=3
Check the picture below.
doesn't that make it just a 20 x 14? well, surely you know what that area is.
Answer: it will take 9 hours to empty the pool.
Step-by-step explanation:
The pool is shaped like a rectangular prism with length 30 feet, wide 18 ft, and depth 4ft. It means that when the pool is full, its volume is
30 × 18 × 4 = 2160 ft³
If water is pumped out of the pool at a rate of 216ft3 per hour, then the rate at which the water in the pool is decreasing is in arithmetic progression. The formula for determining the nth term of an arithmetic sequence is expressed as
Tn = a + d(n - 1)
Where
a represents the first term of the sequence(initial amount of water in the pool when completely full).
d represents the common difference(rate at which it is being pumped out)
n represents the number of terms(hours) in the sequence.
From the information given,
a = 2160 degrees
d = - 216 ft3
Tn = 0(the final volume would be zero)
We want to determine the number of terms(hours) for which Tn would be zero. Therefore,
0 = 2160 - 216 (n - 1)
2160 = 216(n - 1) = 216n + 216
216n = 2160 - 216
216n = 1944
n = 1944/216
n = 9
Answer:
The exact interest on $5,870 at 12% is $410.9
Step-by-step explanation:
From the information provided we know that
Principal amount: $5,870
Interest rate: 12% -> 0.12
Time: 7 months (From June to December)
When you know the principal amount, the rate, and the time, the amount of interest can be calculated by using the formula:
where P is principal, r is the rate of interest and t is the time in years.
We need to convert the 7 months into 1 year.
Now we can use the above formula
Therefore the exact interest on $5,870 at 12% is $410.9
