Given: sin theta = 2/5. This tells us that the lengths of the opp side and the hyp are 2 and 5 respectively. The adj side is found using the Pyth. Thm.: 5^2-2^2= 25-4 = 21, so that the adj side is sqrt(21).
The double angle formula for the sine is sin 2theta = 2 sin theta *cos theta.
In this particular problem, the sine of 2theta is 2*(2/5)*[sqrt(21) / 5], or:
(4/25)*sqrt(21).
Answer:
You can save 0.40 if you choose to buy the 16-ounce bottles instead of 10-ounce bottles.
0.56x5=2.8
0.40x8=3.2
3.2-2.8= 0.40
<u>First problem :</u>
probability to draw a red paper : 42/(42+18)=7/10
In 110 tries one can thus expect to draw 7/10*110=77 red papers
<u>Second problem :</u>
Since for 150 trials (which will give the least error) we have got 135 yellow balls, we can expect twice as much in 300=150*2 trials, which makes 270 yellow balls.
Answer:
C=5h+3 when h=5
C=28
Step-by-step explanation:
She charges $5 per hour (5h)
and a flat fee of $3 (+3).
Replace the h (the number of hours babysitting) with 5 (the amount of hours you want to find for).
Then you multiple 5 and 5, then add 3.
Which gives you an answer of $28.
Hope this helped!
