Answer:
1832 miles
Step-by-step explanation:
First we need to find the angle between the routes of the planes.
If one is N30°W and the other is S45°W, we can find the angle between the routes with the following equation:
30 + angle + 45 = 180
angle = 105°
Then, we need to find the distance travelled by each plane, using the formula:
distance = speed * time
The time is 1.5 hours, so we have that:
distance1 = 800 * 1.5 = 1200 km
distance2 = 750 * 1.5 = 1125 km
Now, to find the distance between the planes, we can use the law of cosines:
distance^2 = 1200^2 + 1125^2 - 2*1200*1125*cos(105)
distance^2 = 3356214.43
distance = 1832 miles
T(s(x)) = -5
Substitute the value in for x and evaluate = -2
Answer:
Step-by-step explanation:
Formula for the volume of a sphere is V = (4/3) (π) r³
3V 4²
and so the cube of the radius, "r," is r³ = ------------- * -----
4 4²
Taking the cube root of both sides, we get
∛[3V / 4²] 3V
and so the radius, "r," is r = ------------------ = ∛ ( --------- ) = (1/4)*∛(3*v)
∛[4³] 4³
Then
r = (1/4)*∛(3*V), after substituting 500/(3π) for V, becomes:
r = (1/4)*∛[ 3*500/3π ] = (1/4)*∛[ 500/π ]
(3t^2 + 2 + (-2)) + (t^2 + 3t - 4) - (4 + (-5))
Apply the distributive property to remove parentheses.
3t^2 + 2 - 2 + t^2 + 3t - 4 - 4 + 5
Combine like terms.
<h3>4t^2 + 3t - 3 is the simplified form of the given expression.</h3>
She can only but 14 movies because 18.50÷1.25= 14.8 and then 1.25×14=17.5
