Answer: see proof below
<u>Step-by-step explanation:</u>
Given: A + B + C = π → A = π - (B + C)
→ B = π - (A + C)
→ C = π - (A + B)
Use Sum to Product Identity: sin A - sin B = 2 cos [(A + B)/2] · sin [(A - B)/2]
Use the following Cofunction Identity: cos (π/2 - A) = sin A
<u>Proof LHS → RHS:</u>
LHS: sin A - sin B + sin C
= (sin A - sin B) + sin C
38.65*.20=7.73
38.65+7.73=46.38
So the total bill is $46.38.
100-46.38=53.62
So she’ll receive $53.62 in change.
A) A=500(1+0.015)^t
b)800=500(1.015)^t
800/500=1.015^t
t=log(800/500)/log(1.015)
t=31.6 years
Answer:
2 x-intercepts if range is y < 2
Step-by-step explanation:
If this quadratic function has a range y < 2, then definitely this function can have x-intercepts at y =0, therefore there are 2 x-intercepts
However if range is y > 2, then there are 0 x-intercepts.
We must look at each equation and pick out which property matches with the choices
For the equation:
5(8+3)=5*8+5*3
The property is
Distributive Property
For the equation:
4x+(5x+3)=9x+3
The property is
Commutative property of Addition
For the equation:
a+b=b+a
The property is
Associative Property of Addition