The diagram illustrates a decorative lamp that is suspended from a ceiling by two strings. the first string is 43 centimeters long and makes a 50° angle with the horizontal. the second string is 35 centimeters long and makes a 70° angle with the horizontal. what is the distance between the points of suspension of the strings on the ceiling?

From the given description above, we can conclude that the lamp suspended to the wall forms an oblique triangle. The first side measures 43 centimeters with an angle 50° to the horizontal and the other side measures 35 centimeters with 70° to the horizontal. We can use cosine law here to get the length of the other side.

c² = a² + b² - 2abcosC
c² = 43² + 35² - 2(43)(35)cos(180°-70°-50°)
c = 39.61 centimeters

1. 0.3 •4 is the same as 4 groups of 0.32. 7•0.8 is the same as 7 groups of 0.83. it increases by 0.5 every time, so 0.5x4 it increases by 0.9 every time, so 0.9x5. 0.9•12=10.86. 0.47•5=2.35i can finish the next ones in a separate post

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