Which value or values for the variable c from the set below will make 5.6 + 0.4c ≤ to 6c true? {0, 0.875, 1, 2.5
2 answers:
We are given this inequality here,
Now we have to check for the given values of c, that is true for this inequality.
1. when c=0
LHS: 5.6 + 0.4c
= 5.6+0.4(0)
=5.6
RHS: 6c =6(0)=0
5.6≤0
Not true for c=0.
2. when c=0.875
LHS: 5.6 + 0.4c
= 5.6+0.4(0.875)
=5.95
RHS: 6(0.875) =5.25
5.95≤5.25
Not true for c=0.875
3. when c=1
LHS: 5.6 + 0.4c
= 5.6+0.4(1)
=6
RHS: 6c =6(1)=6
6≤6
True for c=1.
4. when c=2.5
LHS: 5.6 + 0.4c
= 5.6+0.4(2.5)
=6.6
RHS: 6c =6(2.5)=15
6.6≤15
True for c=2.5.
Answer: The given inequality is true for c=1 and c=2.5
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Area of the figure = 112 in²
Solution:
The given figure is splitted into two shapes.
One shape is square.
Each side of square are equal.
Side = 10 inch
Area of the square = side × side
= 10 × 10
= 100
Area of the square = 100 in²
The other shape is triangle.
Base of the triangle = 10 in – 6 in = 4 inch
Height of the triangle = 16 in – 10 in = 6 inch
Area of the triangle =
= 12
Area of the triangle = 12 in²
Area of the figure = Area of the square + Area of the triangle
= 100 in² + 12 in²
Area of the figure = 112 in²
Therefore, area of the given figure is 112 in².