Answer:
• c = √89 ≈ 9.434
• A = arcsin(8/√89) ≈ 57.995°
• B = arcsin(5/√89) ≈ 32.005°
Step-by-step explanation:
By the law of cosines, ...
c² = a² + b² -2ab·cos(C)
Since c=90°, cos(C) = 0 and this reduces to the Pythagorean theorem for this right triangle.
c = √(8² +5²) = √89 ≈ 9.434
Then by the law of sines (or the definition of the sine of an angle), ...
sin(A) = a/c·sin(C) = a/c = 8/√89
A = arcsin(8/√89) ≈ 57.995°
sin(B) = b/c·sin(C) = b/c = 5/√89
B = arcsin(5/√89) ≈ 32.005°
Answer:
<h2>4</h2>
Step-by-step explanation:
5k-2k=12
3k=12
k=4
Answer:
B
Step-by-step explanation:
12 divided by -6 is -2, plus 5 is 3
:D
Step-by-step explanation:
Here in the given figure the value of x will be 70° ( being alternative angle )
x = 70°
Now...
y = 60° ( being corresponding angle )
Now...
60° + 70° + z = 180° ( the sum of interior angle of triangle is 180°
z = 180° - 130°
z = 50° ..
