Answer:
x = 91
Step-by-step explanation:
The opposite angles of an inscribed quadrilateral are supplementary, that is
∠ A + ∠ C = 180, thus
x + 89 = 180 ( subtract 89 from both sides )
x = 91
First of all you calculate the difference between the numbers:
10.5 - 10.653 = -0.153
10.5 - 10.592 = -0.092
10.5 - 10.732 = -0.232
10.5 - 10.484 = 0.016
You then select the difference with the smallest number (ignoring the positive and negative symbols). That happens to be the last one.
This means that the answer will be D) Spruce Trail.
Split up each force into horizontal and vertical components.
• 300 N at N30°E :
(300 N) (cos(30°) i + sin(30°) j)
• 400 N at N60°E :
(400 N) (cos(60°) i + sin(60°) j)
• 500 N at N80°E :
(500 N) (cos(80°) i + sin(80°) j)
The resultant force is the sum of these forces,
∑ F = (300 cos(30°) + 400 cos(60°) + 500 cos(80°)) i
… … … + (300 sin(30°) + 400 sin(60°) + 500 sin(80°)) j N
∑ F ≈ (546.632 i + 988.814 j) N
so ∑ F has a magnitude of approximately 1129.85 N and points in the direction of approximately N61.0655°E.
Hello there!
You can use the equation:
504 ÷ 6
84
The hotel can buy 84 pillows.
Hope this helped! :D
