What is the length of the diagonal (d) of the prism? Round to the nearest tenths if necessary.
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The area of the composite shape is the sum of the area of the triangle and the area of the rectangle. The area of the composite shape is 53 in².
<h3>What is Geometry?</h3>It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
The composite is made up of triangles and rectangles.
The area of the composite shape will be the sum of the area of the triangle and the area of the rectangle.
The area of the triangle will be
The area of the rectangle will be
The area of the composite shape is 48 + 5 = 53.
The area of the composite shape is 53 in².
More about the geometry link is given below.
The boundary for the first inequality: y> x+3 is the line y=x+3 and will be excluded (dashed) from the highlighted area because of the absence of equality sign.
The boundary for the second inequality: y <= 3x-3 is the line y=3x-3, and will show in solid because of the presence of the equal sign.
Please see the image attached showing your original graph with the first inequality in blue, the second in red. Note the y intercepts highlighted by a dot, and also verify the slopes: 1 and 3, respectively.
The solution to the system if inequalities is the area with both shadings overlapping.
Let me know if you have questions.
