Answer:
2 more quarts of oil is needed to fill
the engine to capacity
Step-by-step explanation:
Here, we want to calculate how many more quarts of oil is required to fill the engine to capacity
We have to convert the capacity to quarts
Mathematically, 1 gallon = 4 quarts
So 1 1/4 gallon will be 5/4 * 4 = 5 quarts
So the number of quarts needed to fill the engine to capacity will be 5 quarts - 3 quarts = 2 quarts
The value of cos A is √(1 + x²)/ (1 - x²) /√1 + x
<h3>Trigonometric ratios</h3>
It is important to note that
sin A = opposite/ hypotenuse
cos A = adjacent/ hypotenuse
Then,
opposite = 
Hypotenuse = 
Let's find the adjacent side using the Pythagorean theroem



cos A = x/hypotenuse

cos A = √(1 + x²)/ (1 - x²) /√1 + x
Thus, the value of cos A is √(1 + x²)/ (1 - x²) /√1 + x
Learn more about trigonometric identities here:
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0,3,6,9,12,15,18,21,24,27,30,33,36
0,12,24,36
Answer:
Ella's normal hourly pay is $12 per hour.
Step-by-step explanation:
Let us assume that the Ella's Normal hourly pay = $x per hour
Over hourly pay = 1.5 times ( Normal pay)
= 1.5 ( x) = $ 1.5 x
⇒Ella earns $1.5x in 1 hour of overtime.
So the amount she earns in 4 hour of overtime = 4 times (per hour pay)
= 4 ( $1.5x) = $ 6 x
The amount Ella earned in 4 hours of over time = $72.00
According to the question:
$ 6 x = $72.00
or, x = 72/6
=12
or , x = $12
Hence, Ella's normal hourly pay is $12 per hour.
Answer:
6(2a+4)-4(3a-4)= (12a+24) +(-12a+16) = 40