Answer:
25
Step-by-step explanation:
Question: The distance between P and T on the coordinate grid is __ units. (Input whole numbers only.)
Answer + Step-by-step explanation:
Step 1. Find where point P is located at
Answer: (-10, 15)
Step 2. Find where point T is located at
Answer: (15, 15)
Step 3. Find the distance between point P and T.
Answer: (25) Steps in image
Twelve and three hundred and seventy five thousandths.
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
LHS = RHS: 4 cos A · cos B · sin C = 4 cos A · cos B · sin C
the set of all values that a function will return as outputs