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:
Each of the 7 large animals ate 71 lbs of food.
Step-by-step explanation:
There was a total of 680 lbs of food, and the elephant ate 183 lbs by itself. This means that there was 497 lbs of food left for the 7 large animals. To find out how much food each of the 7 animals ate, we just divide. 497 lbs of food divided by 7 large animals. This will give us a final result of 71 lbs of food per large animal.
Answer:
0
giomarsh
15 answers
24 people helped
Answer:
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Explanation:
Step-by-step explanation:
Answer:
-5x²+26x-24
Step-by-step explanation:
(5x-6)(-x+4)
=5x(-x+4)-6(-x+4)
=-5x²+20x+6x-24
=-5x²+26x-24
Hi student, let me help you out! :)
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We are asked to simplify the expression
.

That's exactly what we need to do - combine like terms.
So, we subtract:

Which gives us:

Hope it helps you out! :D
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