Answer:
Step-by-step explanation:
Cos(A + B) = Cos(A)*Cos(B) - Sin(A)*Sin(B)
Find The Hypotenuse of A
Tan(A) = Opposite / Adjacent
Tan(A) = 15/8
Opposite = 15
Adjacent = 8
Hypotenuse = c
c^2 = opposite^2 + Adjacent^2
c^2 = 15^2 + 8^2
c^2 = 225 + 64
c^2 = 289
sqrt(c^2) = sqrt(289)
c = 17
Find the opposite of B
Adjacent = 12
Hypotenuse = 37
Opposite = b
adjacent^2 + opposite^2 = hypotenuse^2
12^2 + b^2 = 37^2
144 + b^2 = 1369
b^2 = 1369 - 144
b^2 = 1335
b = 35
Definitions
Sin(A) = Opposite / hypotenuse = 15/17
Sin(B) = opposite / hypotenuse = 35/37
Cos(A) = 8/17
Cos(B) = 12/37
Answer
Cos(A + B) = Cos(A)*Cos(B) - Sin(A)*Sin(B)
Cos(A + B) = 8/17 * 12/37 - 15/17*35/37
Cos(A + B) = 96/629 - 525/629
Cos(A + B) = -429/629
Answer:
<u>explanation</u>:
solving similarities:
bigger triangle is double of the smaller triangle.
<u>balancing them</u>:
→ x + 9 = 2(2x - 3)
→ x + 9 = 4x - 6
→ 4x - x = 9 + 6
→ 3x = 15
→ x = 5
Answer:
A. 50 B. 27.5
Step-by-step explanation:
Answer:
D) Quadratic
Step-by-step explanation:
A function is graphed on a coordinate grid.
- As the domain values approach infinity, the range values approach infinity.
Domain: If 
then
Range: 
- As the domain values negative infinity, the range values approach infinity.
Domain: If 
then
Range:
We need to choose correct option which follows given domain and range.
Only quadratic function will follow the rule because it has even degree polynomial.
Quadratic function: 
Degree = 2 and leading coefficient is positive.
Domain: 
Range: 
Hence, D is correct option.
