Answer:
45
Step-by-step explanation:
9, 13, 17, 21, 25
We are adding 4 each time
9+4 = 13
13+4 =17
17+4 = 21
The common difference =4
a1 = 9
The formula is
an = a1+d(n-1) where n is the term number
an = 9+4(n-1)
We want the 10th term
a10 = 9+4(10-1)
= 9+4(9)
= 9+36
= 45
Set up trig ratio using tangent.
Tan theta = opp/adj
Tan theta = 500/800
Tan^-1 (500/800) = 32 degrees
In the question, it is already given that the total number of runners in the race is 60 and out of them 1/3 dropped out in the first half. In the second half 1/4 of the remaining runners dropped out.
Now
Total number of runners in the race = 60
Number of runners that dropped out in the first half = 1/3 * 60
= 20
Number of runners remaining = 60 - 20
= 40
Number of runners dropping out in the second half = 40 * 1/4
= 10
Then the number of runners that finished the race = 40 - 10
= 30
Then 30 runners completed the race.
Answer:
12 times (double the times since we are doubling the minutes)
Step-by-step explanation:
2/6 = 4/x
Use cross multiplication
2x = 6*4
2x = 24
x = 12
The cosine of A is (adjacent side)/(hypotenuse) = 55/73. Do the division, then find the angle whose cosine is that number. The whole thing takes maybe 6 or 7 seconds with your calculator. It's choice-B.
