Answer:
Step-by-step explanation:
Several trig identities are involved in the proof of this. This is the order in which they are used.
- cos(2x) = cos²(x) -sin²(x)
- cos²(x) +sin²(x) = 1
- cos(x) = 1/sec(x)
<h3>Proof</h3>
Starting with the left side, we can transform it into the right side.
First write both vectors in terms of their horizontal and vertical components.
G = (40.3 m)(cos(-35.0º) x + sin(-35.0º) y)
G = (33.0 x - 23.1 y) m
(where x and y are the unit vectors that point in the positive horizontal and vertical directions, respectively)
H = (63.3 m)(cos 270º x + sin 270º y)
H = (-63.3 y) m
Then the vector sum is
G + H = (33.0 x - 86.4 y) m
which has a magnitude of
|| G + H || = √[33.0^2 + (-86.4)^2] = 92.5 m
The answer is 24. To get to each term, we can see that the value is decreasing by 7. So 31 - 7 = 24
83 just add the amount of Ella’s and amount of Julio’s
All it's asking is: How many cubic inches are there in 22 gallons ? And it already GAVE us the conversion factor !
The conversion factor is . . . . . 1 gallon = 231 cubic inches
Multiply each side by 22: 22 gallons = 22 x (231 cubic inches)
22 x 231 = 5,082
22 gallons = 5,082 cubic inches
If you empty a full 22-gallon tank out through that flow meter, the meter will register 5,082 cubic inches when the tank is empty.
