Answer:
- A) A = 27.3°, B = 56.1°, C = 96.6°
Step-by-step explanation:
<u>Use the Law of Cosines:</u>
- A = arccos [(b² + c² - a²)/(2bc)] = arccos [(13.2² + 15.8² - 7.3²)/(2*13.2*15.8)] = 27.3°
- B = arccos [(a² + c² - b²)/(2ac)] = arccos [(7.3² + 15.8² - 13.2²)/(2*7.3*15.8)] = 56.1°
- C = 180° - (A + B) = 180° - (27.3° + 56.1°) = 96.6°
Correct choice is A.
Answer:
If x+1 is odd, then x is even B
Step-by-step explanation:
Conditional: If p, then q
Converse: If q, then p
p= x being even
q, x+1 being odd.
Answer:

Step-by-step explanation:
An apothem is a perpendicular drawn from the centre of the triangle to one of its sides.
The three apothems OD, OE, and OF divide ∆ABC into six smaller congruent triangles.
1. Area of ∆OCD
CotOCD = OD/OC
cot30 = CD/6
√3 = CD/6
CD = 6√3
A= ½bh
A = ½ × 6√3 × 6 = 18√3 in²
2. Area of ∆ABC
A = 6 × area of ∆OCD = 6 × 18√3 = 108√3 in²

9514 1404 393
Answer:
48
Step-by-step explanation:
The Pythagorean theorem tells you the square of the hypotenuse (longest side) is the sum of the squares of the other two sides. Let x represent the unknown side.
73² = x² +55²
5329 = x² +3025 . . . evaluate the squares
2304 = x² . . . . . . . . . subtract 3025 from both sides
48 = x . . . . . . . . . . . . take the square root of both sides
The exact length of the third side is 48.