I dont know why but a moderator deleted my answer but I hope that you got it. It was actually A. since it was the quotient of 9 not the quotient of x.
Have a great day hon and I hope that this helped you out a lil:)
Answer: see proof below
<u>Step-by-step explanation:</u>
Use the Double Angle Identity: sin 2Ф = 2sinФ · cosФ
Use the Sum/Difference Identities:
sin(α + β) = sinα · cosβ + cosα · sinβ
cos(α - β) = cosα · cosβ + sinα · sinβ
Use the Unit circle to evaluate: sin45 = cos45 = √2/2
Use the Double Angle Identities: sin2Ф = 2sinФ · cosФ
Use the Pythagorean Identity: cos²Ф + sin²Ф = 1
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<u>Proof LHS → RHS</u>
LHS: 2sin(45 + 2A) · cos(45 - 2A)
Sum/Difference: 2 (sin45·cos2A + cos45·sin2A) (cos45·cos2A + sin45·sin2A)
Unit Circle: 2[(√2/2)cos2A + (√2/2)sin2A][(√2/2)cos2A +(√2/2)·sin2A)]
Expand: 2[(1/2)cos²2A + cos2A·sin2A + (1/2)sin²2A]
Distribute: cos²2A + 2cos2A·sin2A + sin²2A
Pythagorean Identity: 1 + 2cos2A·sin2A
Double Angle: 1 + sin4A
LHS = RHS: 1 + sin4A = 1 + sin4A 
Answer:
0.055
Step-by-step explanation:
You want to move the decimal from the % left two places.
1) 12 cookies per hour
2) train travels 80 miles per hour
Answer:
3 t-shirts
Step-by-step explanation:
<u>Lets recap the information we will use from this problem:</u>
The ticket to the festival costs $87.96
T-shirts are $30.00
She is taking $200.00 to the festival
Now we can solve. First we will subtract the price of the ticket from the total amount of money she has.
$200.00 - $87.96 = $112.04
Now that she has payed for the ticket, we want to find out how many shirts she can buy with the remainder of her money. To find this, we will set up an equation like this:
(Amount of money left) ÷ (Cost of 1 t-shirt) = (How many t-shirts she can buy)
Insert your numbers: $112.04 ÷ $30.00 = 3.73466666667
Because she cant buy a fraction of a t-shirt, we ignore the decimals on the end of this number. Therefore, Staci can purchase 3 t-shirts.
