
When
![t=\cos A+\sin A\in[-\sqrt{2};\sqrt{2}]\approx[-1.4142;1.4142]](https://tex.z-dn.net/?f=%20t%3D%5Ccos%20A%2B%5Csin%20A%5Cin%5B-%5Csqrt%7B2%7D%3B%5Csqrt%7B2%7D%5D%5Capprox%5B-1.4142%3B1.4142%5D%20)
and there is only one answer t = 1.
For
both values are correct.
One cups is equal to 0.0625 gallons so what ever your cups are just multiply it by the gallons and you will get your gallons...
Answer:
The measure of the angle Y in given triangle is 120 º.
Step-by-step explanation:
Here, in ΔXYZ
∠X = 34 º , ∠Z = 26 º
By, ANGLE SUM PROPERTY of a Triangle:
Sum of all the interior angles in any given triangle is always 180 º.
⇒ ∠X+ ∠Y + ∠Z = 180 º
or, 34 º + ∠Y + 26 º = 180 º
or, ∠Y = 180 º - 60 º
⇒ ∠Y = 120 º
Hence, the measure of the angle Y in given triangle is 120 º.
Answer:
the cost function is Cost=7000 m*$ /R + 50.265 $/m² * R²
Step-by-step explanation:
then the cost function is
Cost= cost of side area+ cost of top + cost of bottom = 2*π*R*L * 5$/m² +
π*R² * 8$/m² + π*R² * 8$/m²
since the volume V is
V=π*R²*L → V/(π*R²)=L
then
Cost=2*π*R*V/(π*R²) * 5$/m² + π*R² * 8$/m² + π*R² * 8$/m²
replacing values
Cost=2*700 m³ /R * 5$/m² + π*R² * 16$/m² = 7000 m*$ /R + 50.265 $/m² * R²
thus the cost function is
Cost=7000 m*$ /R + 50.265 $/m² * R²
It will take Lauren 1.25 seconds to hit the water.
With the given information, we can write the following quadratic equation.

Now, just use the quadratic formula to solve the equation.
You will get 1.25 and -0.75 as the zeros of the equation (where Laruen hits the water).
Only 1.25 makes sense in the context of this problem.