Answer:
The piecewise functions accurately represents charges based on Ben's cell phone plan is :
Step-by-step explanation:
Let x be the minutes over cell phone
Let f(x) represents the piecewise function that represents the charges based on Ben's cell phone plan.
We are given that Ben has a cell phone plan that provides 200 free minutes each month for a flat rate of $39.
So,
We are also given that For any minutes over 200, Ben is charged $0.35 per minute.
So, Minutes over 200 = x-200
Hence the piecewise functions accurately represents charges based on Ben's cell phone plan is :
Answer:
183 miles to the nearest mile.
Step-by-step explanation:
Distance =Speed X Time
Distance of Truck B from point A=45 X2 =90 miles
Distance of Truck C from point A=55 X2 =110 miles
Angles between them, BAC=132°
We want to find the Distance BC denoted by a between the trucks.
Using Cosine Rule,
a²=b²+c²-2bcCos A
=90²+110²-(2X90X110XCos132°)
=33448.79
a=√33448.79
BC=182.89 miles
The distance between the trucks is 183 miles to the nearest mile.
In counterclockwise order that's
R(2,4), Q(-4,4), U(-4,3), T(2,-3), S(5,-3)
That's a trapezoid, height 7 upper base 6, lower base 9, so average base 15/2 and area 7(15)/2 = 105/2 = 52.5.
Answer: 52.5
The shoelace theorem gives the answer without thinking. We write the list on top of itself shifted and add up the cross produces:
R(2,4), Q(-4,4), U(-4,-3), T(2,-3), S(5,-3)
Q(-4,4), U(-4,-3), T(2,-3), S(5,-3), R(2,4),