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:
-15x-4
Step-by-step explanation:
-21x + 6x-4
-15x-4
Answer:
The constant in this expression is 5 (btw, a constant is a number on its own)
Step-by-step explanation:
☄ 
The ratio of new houses to antique houses in a village is 4 : 5 . If there are 12 new houses , how many antique houses are there ?
☄
✏ Let , the number of antique houses in a village be ' x ' .
Then , According to the question :
⤑
Apply cross product property
⤑
⤑
⤑
⤑
So, The number of antique houses in a village is 15.
Hope I helped ! ♡
Have a wonderful day / night ツ
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2x+1=9
Your going to always try to leave the x variable alone.
2x+1=9
-1 -1
2x=8
/2 /2
x=4
