prob( it lands on open end) = 8/20 = 2/5
prob ( lands on closed end) = 4/20 = 1/5
The second choice is correct.
We know that
1) <span>Carol's starting pay for her summer job is $10.25 per hour
</span><span>Carol earn per hour=$10.25 per hour
</span><span>
2) </span><span>For the first rise, she receives a 50 cent-per-hour raise
10.25+0.50=10.75
</span>Carol earn per hour=$10.75 per hour
3) <span>For the second rise, she receives a 10% raise per hour
10.75*1.10=11.825
</span>Carol earn per hour=$11.825 per hour
4) <span>For the third rise, she receives another 50 cent-per-hour raise
11.825+0.50=12.325
</span>Carol earn per hour=$12.325 per hour
5) At the start of next summer. She will be given a 5% raise per hour based on her pay at the end of this summer. <span>
12.325*1.05=12.94125
</span>Carol will earn per hour=$12.94 per hour
the answer is
$12.94 per hour
Answer:
-k + (6.2m - 1)
Step-by-step explanation:
You distribute the negative to everything in the parentheses and change the sign to addition.
It looks like the given equation is
sin(2x) - sin(2x) cos(2x) = sin(4x)
Recall the double angle identity for sine:
sin(2x) = 2 sin(x) cos(x)
which lets us rewrite the equation as
sin(2x) - sin(2x) cos(2x) = 2 sin(2x) cos(2x)
Move everything over to one side and factorize:
sin(2x) - sin(2x) cos(2x) - 2 sin(2x) cos(2x) = 0
sin(2x) - 3 sin(2x) cos(2x) = 0
sin(2x) (1 - 3 cos(2x)) = 0
Then we have two families of solutions,
sin(2x) = 0 or 1 - 3 cos(2x) = 0
sin(2x) = 0 or cos(2x) = 1/3
[2x = arcsin(0) + 2nπ or 2x = π - arcsin(0) + 2nπ]
… … … or [2x = arccos(1/3) + 2nπ or 2x = -arccos(1/3) + 2nπ]
(where n is any integer)
[2x = 2nπ or 2x = π + 2nπ]
… … … or [2x = arccos(1/3) + 2nπ or 2x = -arccos(1/3) + 2nπ]
[x = nπ or x = π/2 + nπ]
… … … or [x = 1/2 arccos(1/3) + nπ or x = -1/2 arccos(1/3) + nπ]
Answer:
<h2>d = 23</h2>
Step-by-step explanation:
∠IHE and ∠GHF are vertical angles.
Vertical angles have the same measures (are congruent).
Therefore, if m∠IHE = d + 44 and m∠GHF = 4d - 25, then we have the equation:
d + 44 = 4d - 25 <em>subtract 44 from both sides</em>
d + 44 - 44 = 4d - 25 - 44
d = 4d - 69 <em>subtract 4d from both sides</em>
d - 4d = 4d - 4d - 69
-3d = -69 <em>divide both sides by (-3)</em>
-3d/(-3) = -69/(-3)
d = 23
