Suppose a triangle has sides a, b, and c let theta be the angle opposite the side of length a. If cos theta < 0 The statement that is true is <span>b^2+c^2>a^2. The answer is letter A.</span>
Answer:
b = 1/2
Step-by-step explanation:
6x + 2 = 5
6x = 3
x = 1/2
Answer:
Right Triangles and the Pythagorean Theorem
1.The Pythagorean Theorem, a2+b2=c2, a 2 + b 2 = c 2 , can be used to find the length of any side of a right triangle.
2.The side opposite the right angle is called the hypotenuse (side c in the figure).
<span>Call x the distance traveled
V = x / t = 89.5 = x / t => x = 89.5t
Rest time in hours = 22min * 1 h / 60 min = 11/30 h
Total time spent on the trip = t + 11/30
=> Average speed = 77.8 = x / (t + 11/30)=> x = 77.8 (t + 11/30)
=> 89.5t = 77.8 (t + 11/30)
=> 89.5t = 77.8t + 77.8 * 11/30
=> 89.5 – 77.8t = 28.527
=> 11.7 t = 28.527
=> t = 28.527 / 11.7
=> t = 2.44 h => t + 11/30 = 2.81 h
=> x = 89.5t = 89.5 * 2.44 = 218.3 km
Answers: a) 2.81 h; b) 218.3 h
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If Chad can paint the whole room in 5 hours, in 1 hour he gets 1/5 of it painted. If Cassie can paint the whole room in 3 hours, in 1 hour she gets 1/3 of it painted. If we add those together we can find out how much of the room they can paint together in one hour. 1/5 + 1/3 = 1/x, with x being the number of hours it will take them to paint the room together. Common denominator is 15, therefore, 3/15 + 5/15 = 1/x and 8/15 = 1/x. Cross-multiply to get 8x = 15, so it will take them 15/8 hours, or 1.9 hours to paint the whole room together.
