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:
22.681
Step-by-step explanation:
1
4.061
<u>+ 18.620</u>
22.681
Hope this helps!! Have a wonderful day C:
Answer:
x = -7/3 or -5
Step-by-step explanation:
3x^2 + 22x = -35
3x^2 + 22x + 35 = 0
(3x + 7) (x + 5) = 0
so for 3x+7:
3x+7 = 0
3x = -7
x = -7/3
So for x + 5:
x + 5 = 0
x = -5
