Answer:
1203 - 178
Step-by-step explanation:
(happy to help)
Ah, subtracting polynomials.
The answer requires you to find the difference of and .
Then, just put everything together.
So, the answer would be choice c.
Step-by-step explanation:
(1 + cos θ + sin θ) / (1 + cos θ − sin θ)
Multiply by the reciprocal:
(1 + cos θ + sin θ) / (1 + cos θ − sin θ) × (1 + cos θ + sin θ) / (1 + cos θ + sin θ)
(1 + cos θ + sin θ)² / [ (1 + cos θ − sin θ) (1 + cos θ + sin θ) ]
(1 + cos θ + sin θ)² / [ (1 + cos θ)² − sin² θ) ]
Distribute and simplify:
(1 + cos θ + sin θ)² / (1 + 2 cos θ + cos² θ − sin² θ)
[ 1 + 2 (cos θ + sin θ) + (cos θ + sin θ)² ] / (1 + 2 cos θ + cos² θ − sin² θ)
(1 + 2 cos θ + 2 sin θ + cos² θ + 2 sin θ cos θ + sin² θ) / (1 + 2 cos θ + cos² θ − sin² θ)
Use Pythagorean identity:
(2 + 2 cos θ + 2 sin θ + 2 sin θ cos θ) / (sin² θ + cos² θ + 2 cos θ + cos² θ − sin² θ)
(2 + 2 cos θ + 2 sin θ + 2 sin θ cos θ) / (2 cos² θ + 2 cos θ)
(1 + cos θ + sin θ + sin θ cos θ) / (cos² θ + cos θ)
Factor:
(1 + cos θ + sin θ (1 + cos θ)) / (cos θ (1 + cos θ))
(1 + cos θ)(1 + sin θ) / (cos θ (1 + cos θ))
(1 + sin θ) / cos θ
Answer:
<em>Please check the attached picture</em>
Step-by-step explanation:
In the first row, there are 5 players in total, 4 of them practice extra time, then 5 - 4 = 1 player does not practice extra time.
In the second row, there are 5 players in total, 2 of them practice extra time, then 5 - 2 = 3 players do not practice extra time.
In the third row, there are 8 players in total, 2 of them practice extra time, then 8 - 2 = 6 players do not practice extra time.
We finally add up each column, to complete the table.
I hope this helps!
<h2>
Answer:</h2>
<u>The volume of oil will be</u><u> 1055 cubic feet</u>
<h2>
Step-by-step explanation:</h2>
As we know
Volume of cylinder is V= π r²h
Putting the values in it
V = 3.14 (4)² (7)
V = 3.14 (16) (7)
V = 351.6 cubic feet
But this is for one cylinder. We want for 3 so multiply with 3
Total volume of that oil needed = 1055 cubic feet