How many solutions does this system of equations have? Infinite None One
2 answers:
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Given:
Volume of the prism = 60 in³
Breadth = 2.5 in
Height = 4 in.
To find:
The length of the prism.
Solution:
We know that, volume of a prism is
where, l is length, b is breadth and h is height.
Putting V=60, b=2.5 and h=4, we get
Divide both sides by 10.
Therefore, the missing dimension of the prism is 6 in.
The figure is shown below
From the figure
Angle 150 degree and angle p forms angles on a straight
Since the sum of angles on a straight line equals 180 degrees
Hence
Solve for p in the equation
Hence, p = 30
From the figure
Angle p and angle q are vertically opposite angles
Since vertically opposite angles are equal then
Hence, q = 30
Applying the rule of angles on a straight line
This implies
Substitute q = 30 into the equation
Solve for w
Hence, w = 90
