Answer: 1 < x < 13
Step-by-step explanation: 7-6 is 1 so 1 is the lowest and 7+6= 13 so 13 is the highest possibility for it still to be a triangle.
3x^2 - 4x - 7 = (3x - 7)(x +1)
hope it helps
B. 55 seconds
The average equals the sum of all the numbers then divided by the amount of numbers added.
51+53+55+56+60=275
275/5=55 seconds
Answer:
<em> -√5/5</em>
Step-by-step explanation:
Given the following
sin(A) = 4/5
sinB - -2√5/5
SinA = 4/5 = opp/hyp
We can get cosA
opposite = 4
hypotenuse = 5
Adj = √5²-4² (pythagoras theorem)
Adj = √25-16
Adj = √9
Adj = 3
Cos A = Adj/hyp
Cos A = 3/5
Also
Sin B = -2√5/5 = opp/hyp
opposite = -2√5
hypotenuse = 5
Adj = √5²-(2√5)² (pythagoras theorem)
Adj = √25-20
Adj = √5
Cos B = Adj/hyp
Cos B = √5/5
Evaluate cos (A-B)
cos (A-B) = cosAcosB + sinAsinB
cos (A-B) = 3/5(√5/5)+4/5(-2√5/5)
cos (A-B) = 3√5/25 - 8√5/25
cos (A-B) = -5√5/25
cos (A-B) = -√5/5
<em>Hence the value of cos (A-B) is -√5/5</em>