Answer:
15/8
Step-by-step explanation:
tan 2θ = 2 tan θ / (1 − tan² θ)
tan 2θ = 2 (3/5) / (1 − (3/5)²)
tan 2θ = (6/5) / (1 − 9/25)
tan 2θ = (6/5) / (16/25)
tan 2θ = (6/5) × (25/16)
tan 2θ = 15/8
Answer:
[(a + b), c]
Step-by-step explanation:
Midpoint of a segment with extreme ends represented by ordered pairs 
and 
,
Midpoint = 
It is given that extreme ends of the segment QS are Q(2b, 2c) and S(2a, 0)
Coordinates of the midpoint of QS will be,
= 
= [(a + b), c]
Therefore, ordered pair representing the midpoint of QS will be [(a + b), c].
Answer:
= 3.65.
Step-by-step explanation:
You know that Tom has 23 coins in total. That means the number of dimes and the number of quarters equals 23.
D + Q = 23
You also know that the total value of the coins is $3.65. A dime is worth $0.10 and a quarter is worth $0.25, so:
0.10*D + 0.25*Q = 3.65
That says that 10 cents per dime times the number of dimes, plus 25 cents per quarter times the number of quarters is three dollars and sixty-five cents.
So you have a system of linear equations:
D + Q = 23
0.10D + 0.25Q = 3.65
I'm going to multiply the bottom row by 100 to clear the decimals.
D + Q = 23
10D + 25Q = 365
Now I can multiply the top row by -10 to eliminate the D terms
-10D - 10Q = -230
10D + 25Q = 365
________________
0D + 15Q = 135
15Q = 135
Q = 9
Tom has 9 quarters.
If D + Q = 23, and Q = 9, then:
D + 9 = 23
D = 14
Tom has 14 dimes.
Always good to double check:
9 quarters is worth $2.25. 14 dimes is worth $1.40. These should sum to $3.65.
2.25 + 1.40
Yes
Reason
Each simplified is 2:5
Answer:
Step-by-step explanation:
A = 2π +πrl
A - 2π = πrI subtract by 2π
(A- 2π)/(πr) = I divide by πr to isolate I
