Answer:
Step-by-step explanation:
Several trig identities are involved in the proof of this. This is the order in which they are used.
- cos(2x) = cos²(x) -sin²(x)
- cos²(x) +sin²(x) = 1
- cos(x) = 1/sec(x)
<h3>Proof</h3>
Starting with the left side, we can transform it into the right side.
The chance is 3/5 that the light will be green.
Added together the total seconds for the traffic light to complete the cycle is 120 (38+72 (1 min and 12 sec) +10.
And the green light proportion is: 72/120
We simplify by dividing by 12, which is a factor and we get: 6/10 that simplifies to 3/5.
Hope this helps!
The answer is b because it repeats “2” two times
Answer:
3cm
Step-by-step explanation:
cb is the same length bisector ac, so the answer is <u>3 cm</u>
Answer:
x = -10; x = 7
Step-by-step explanation:
|2x + 3| - 6 =11
Add 6 to each side.
|2x + 3| = 17
Apply the absolute rule: If |x| = a, then x = a or x = -a.
(1) 2x + 3 = 17 (2) 2x + 3 = -17
Subtract 3 from each side
2x = 14 2x = -20
Divide each side by 2
x = 7 x = -10
<em>Check:
</em>
(1) |2(7) + 3| - 6 = 11 (2) |2(-10) + 3| - 6 = 11
|14 + 3| - 6 = 11 |-20 + 3| - 6 = 11
|17| - 6 = 11 |-17| - 6 = 1
1
17 - 6 = 11 17 - 6 = 11
11 = 11 11 = 11
