6.) D (x+7)(x+1)
7.) B (x-9)(x+8)
8.) D
9.) A
10.)A
Answer:
The height of the water = 6.2 in. to the nearest tenth
Step-by-step explanation:
∵ The rate of flows of water into the tank = 8000 in.³/min.
∴ The volume of the water in the tank after 10 min. = 8000 × 10 = 80000 in.³
∵ The water take the shape of the tank
∴ The height of the water = volume of water ÷ Area of the base of the tank
∵ The tank is cylinder with diameter 128 in. and height 72 in.
∴ The area of the base of the tank = π(128/2)²
∴ The height of the water = 
∴ The height of the water = 6.2 in. to the nearest tenth
We know that sin2x=2sinxcosx
(search the net for proof if you wish)
So the original equation becomes
2sinxcosx-sinx=0
The two terms both have sinx that can be taken out to get:
sinx(2cosx-1)=0
This is true if sinx=0 or 2cosx-1=0 , rewritten: cosx=1/2
sinx=0 than x=2kπ
cosx=1/2 than x=π/3+2kπ
where k is an integer
Answer:
<u>Hence final answer is B: Step 2.</u>
Step-by-step explanation:
Step 1: Find the total points needed to score in six games: 96x6=576
Justification:
Product of 96 and 6 is 576 which is same number found by Brenda. So step 1 is correct.
Step 2: Find the total points scored: 92+110+85+78=365
Justification:
Sum of total points scored by Brenda is 92+110+85+78= 461.
But she got different value 365.
Hence step 2 is wrong.
<u>Hence final answer is B: Step 2.</u>