Please help ill give brainliest for sure to the right answer
2 answers:
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Answer:
63.5
Step-by-step explanation:
The diagonals of a rhombus bisect opposite angles.
The longer diagonal bisects the 42° angle
The larger angle of the rhombus is 180 - 42 = 138
Let x = the length of the longer diagonal
You know two sides and the included angle of a triangle.
Using the law of cosines we get
x^2 = 34^2 + 34^2 - 2(34)(34) cos 138
= 1156 + 1156 - 2312 c0s 138
= 4030.1508...
x = sq rt 4030.1508...
= 63.5
Answer:
Length = 8 inch , Width = , This equation models the situation
Step-by-step explanation:
Given as ;
The Area of Rectangle is 12 inches²
The Length of Rectangle is 5 inches longer than twice the width
Let The Length = L inches
The Width = W inches
According to question ,
L = 5 + (2 × w )
∵ The Area of Rectangle = Length × width
Or, 12 inches² = [ 5 + (2 × w ) ] × w
Or, 12 inches² = 5 w +2 w²
Or, 2 w² + 5 w - 12 = 0
Or, 2 w² + 8 w -3 w - 12 = 0
Or, 2 w (w +4) - 3 (w + 4) = 0
I.e (w + 4) ( 2 w - 3) = 0
So , w = -4 , and w =
∴ Length = 5 + (2 × w ) =
Length = 5 + (2 × )
so , L = 5 + 3 = 8
Hence Length = 8 inch , Width = This equation models the situation Answer