Answer:
Step-by-step explanation:
You can start by recognizing 19/12π = π +7/12π, so the desired sine is ...
sin(19/12π) = -sin(7/12π) = -(sin(3/12π +4/12π)) = -sin(π/4 +π/3)
-sin(π/4 +π/3) = -sin(π/4)cos(π/3) -cos(π/4)sin(π/3)
Of course, you know that ...
sin(π/4) = cos(π/4) = (√2)/2
cos(π/3) = 1/2
sin(π/3) = (√3)/2
So, the desired value is ...
sin(19π/12) = -(√2)/2×1/2 -(√2)/2×(√3/2) = -(√2)/4×(1 +√3)
Comparing this form to the desired answer form, we see ...
A = 2
B = 3
Answer:
- Family 1: $1.850
- Family 2: $1.350
Step-by-step explanation:
We know that the total monthly payment is 3200, so if we call Pa (family A`s payment) and Pb (Family B's payment) the payments:
- Pa+Pb=3200
- also, Pa = Pb+500
So if we replace Pa in the first ecuation:
- Pb+500+Pb=3200
- 2Pb= 3200-500
- Pb=2700/2= $1.350
then Pa+Pb=3200 => Pa= 3200-1350= $1.850
Good Luck!
Answer:
744 cubic inches
Step-by-step explanation:
Volume of Styrofoam= volume of big box -volume of glass box
=(10*10*15)-(9*7*12)
=1500-756
=744 cubic inches
Answer:
Prove the lengths are the same
Step-by-step explanation:
When we say segments are congruent, we mean their lengths are the same.
__
Let's see if they are congruent.
AD = √((3-(-3))² +(2-2)²) = 6
BC = √((6-0)² +(6-6)²) = 6
AD ≅ BC . . . . their lengths are the same
