Let the shorter diagonal be x, then
x^2 = 6^2 + 10^2 - 2 x 6 x 10 x cos 70 = 36 + 100 - 120 cos 70 = 136 - 41.04 = 94.96
x = sqrt(94.96) = 9.7 cm
The other angle of the parallelogram is 1/2(360 - 2(70)) = 1/2(360 - 140) = 1/2(220) = 110
Let the longer diagonal be y, then
y^2 = 6^2 + 10^2 - 2 x 6 x 10 x cos 110 = 36 + 100 - 120 cos 110 = 136 + 41.04 = 177.04
y = sqrt(177.04) = 13.3 cm.
Therefore, the length of the diagonals are 9.7 cm and 13.3 cm.
Answer:
(-13, -4)
Step-by-step explanation:
It is about as easy to try the solutions as it is to find them from scratch.
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However, we can determine which one it is by adding twice the second equation to the first.
(-2a +3b) +2(a -4b) = (14) +2(3)
-5b = 20
b = -4 . . . . . . matches the first choice
Raulf Laue of Germany flipped a pancake 416 times in 120 seconds to set the world record find unit rate in flips per seconds. Round your answer to the nearest hundredth
Answer:
3.47 flips per seconds
Step-by-step explanation:
We are told that:
Raulf Laue of Germany flipped a pancake 416 times in 120 seconds
The unit rate = flips per seconds
Flips = 416 times
Seconds = 120
Hence, = 416 flips /120 seconds
= 3.4666666667 flips/seconds
Therefore, the unite rate approximately to the nearest hundredth is 3.47 flips/seconds.
5.00 is the answer! It is very close to 5 therefore it would immediately go to 5!
