three-dimensional graphs wouldn´t give you the right information but two-dimensional graphs would give you the actual size of the shape.
Answer: B: 24q+48r
Step-by-step explanation: 6(4q+8r)
=(6)(4q+8r)
=(6)(4q)+(6)(8r)
=24q+48r
Answer: see proof below
<u>Step-by-step explanation:</u>
Given: A + B + C = π → C = π - (A + B)
→ sin C = sin(π - (A + B)) cos C = sin(π - (A + B))
→ sin C = sin (A + B) cos C = - cos(A + B)
Use the following Sum to Product Identity:
sin A + sin B = 2 cos[(A + B)/2] · sin [(A - B)/2]
cos A + cos B = 2 cos[(A + B)/2] · cos [(A - B)/2]
Use the following Double Angle Identity:
sin 2A = 2 sin A · cos A
<u>Proof LHS → RHS</u>
LHS: (sin 2A + sin 2B) + sin 2C




![\text{Factor:}\qquad \qquad \qquad 2\sin C\cdot [\cos (A-B)+\cos (A+B)]](https://tex.z-dn.net/?f=%5Ctext%7BFactor%3A%7D%5Cqquad%20%5Cqquad%20%5Cqquad%202%5Csin%20C%5Ccdot%20%5B%5Ccos%20%28A-B%29%2B%5Ccos%20%28A%2BB%29%5D)


LHS = RHS: 4 cos A · cos B · sin C = 4 cos A · cos B · sin C 
Answer:
The profit made is;
b) $285)
Step-by-step explanation:
The given parameters are;
The number of shares bought, n = 50
The price each share is bought, CP = $55
The amount at which each share is sold, SP = $61
The amount the broker received per share, E = $0.30
Therefore, the amount of profit, 'P', is given as follows;
P = n × (SP - CP - E)
By substituting the values for the variables, we have;
P = 50 × (61 - 55 - 0.3) = 285
The amount made as profit, P = $285.00.
Answer:
Step-by-step explanation:
Area is half base × height
If area = 140 and height = 20 inches
base =140 ÷ 20 = 7 × 2 = 14 inches