Answer: see proof below
<u>Step-by-step explanation:</u>
Use the Triple Angle Identity: sin 3A = 3sinA - 4sin³A
<u>Proof LHS → RHS</u>
LHS: sin Ф
Let A = Ф/3 sin 3A
Triple Angle Identity: 3sinA - 4sin³A
Substitute Ф/3 = A: 3sin(Ф/3) - 4sin³(Ф/3)
Substitute sin(Ф/3): 
Answer:
Option A
The system of inequalities
x + y ≤ 200
4x + 3y ≤ 750
Step-by-step explanation:
Let the
Number of Adults = x
Number of campers = y
A summer camp cookout is planned for the campers and their families.
There is room for 200 people.
x + y ≤ 200
Each adult costs $4, and and each camper costs $3. There is a maximum budget of $750.
Maximum means the total cost is equal to or less than $750
$4 × x + $3 × y ≤ $750
4x + 3y ≤ 750
The system of inequalities
x + y ≤ 200
4x + 3y ≤ 750
Option A is correct
You have to ask yourself the meaning of h(0)
That means that GS Hopper is at this starting position
h(0) = -0^2 + 4/3 * 0 + 1/4
GS is 1/4 of a unit above the ground. So you need to find out how to solve h(t) so that the value of h(t) = 0 There is a difference between h(t) = 0 and t = 0.
-t^2 + 4/3 t + 1/4 = 0 I'd multiply through be 12. It might be easier to do.
-12 t^2 + 16t + 3 = 0 Remember all terms have to be multiplied by 12.
I know this seems laborious, but you should divide through by - 1
12t^1 - 16t - 3 = 0. That way you don't have to explain what to do with the minus 1. Negatives can be a real pain.
It does factor.
(2x - 3)(6x + 1) = 0 This is just a guess that was lucky. You have to try combinations to get it right. Luckily 3 has only 1 and 3 as factors.
2x - 3 = 0
2x = 3
x = 3/2
x = 1.5 This answer means that 1.5 s starts his jump, he's on the ground.
the other root is meaningless. You can't have minus time in these questions.
Answer t = 1.5 s <<<< answer
Move the decimal once to the right . Sorry my phone giving problem putting the division to show step by step but I put it in words. 4÷14.4
4×3=12
Put the 3 on top of the 4 where 14.4 is then put the decimal .
Now your answer is 12underneatg 14 then subtract .
You get 2 bring down 4 Now 4 × what equals 24 4×6=24
So put the 6 in top of second 4 where you have 14.4 Your answer is 3.6
