Answer:
c² = 3² +6² - 2⋅3⋅6⋅cos 60
c = 27ft
Step-by-step explanation:
Since the angle is located in between the sides of the sides, we will use the cosine rule to get the unknown sides
Let c be the missing sides
According to the cosine rule;
c² = a²+ b² - 2abcosC
c² = 3² +6² - 2⋅3⋅6⋅cos 60
c² = 9 + 36 - 36cos60
c² = 45 - 36cos60
c² = 45 - 36(0.5)
c² = 45 - 18
c² = 27ft
Hence the missing attribute is 27ft and the required expression is c² = 3² +6² - 2⋅3⋅6⋅cos 60
Answer:
see explanation
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Note ∠ Q is a right angle = 90°
Sum the angles and equate to 180
7b + 14 + 6b + 11 + 90 = 180, that is
13b + 115 = 180 ( subtract 115 from both sides )
13b = 65 ( divide both sides by 13 )
b = 5
Thus
∠ R = 6b + 11 = 6(5) + 11 = 30 + 11 = 41°
∠ S = 7b + 14 = 7(5) + 14 = 35 + 14 = 49°
∠ Q = 90°
Hi. I begin by finding the positive factors of 14. They are: 1 x 14 and 2 x 7. None of those can be added to yield a negative number, so let's now instead consider their negatives: -1 x -14 and -2 x -7. Does either of these pairs, when added, yield -9? Yes: -2 and -7.
To be clear: -2 x -7 = 14; and -2 + -7 = -9.
So the answer is -2 and -7.
