Total expenses: $245.00
Total revenue: $479.00
Total profit $234.00
Hello,
y=5+3*cos (2(x-π/3))
The function is periodic with periode=2π.
-1<=cos (2(x-π/3))<=1
==>-1*3<=3*cos (2(x-π/3))<=3*1
==>5-3<=5+3cos(2(x-π/3))<=5+3
==>2<= y<=8
The first statement, XZ ⊥ XY and XY = XZ = 5 proves that the triangle XYZ is isosceles.
One isosceles triangle has two congruent sides and two congruent angles.
And you should also know the theorem that states that if two sides of a triangle are congruent then the two angles opposite that sides are also congruent.
So, given that the two sides XZ and XY are congruent, their opposite sides are also congruent, and that proves that the the triangle is isosceles.
Answer: Each friend will get 3 gumballs.
Step-by-step explanation:
Given: Pete has 4 packs of gumballs. Each pack has 5 gumballs.
Total gumballs he has = 4 x 5 = 20
Now , if he needs to divide them into 6 friends , then each friend will get (20 ÷ 6) gumballs

So each friend will get 3 gumballs.