Answer:
Decompose the figure into two rectangles and add the areas.
Step-by-step explanation:
We can draw a vertical line segment from the smaller section of the rectangle straight down.  This would cut the rectangle into 2 smaller rectangles.  We can then find the area of each rectangle and add them to find the area of the composite figure.
 
        
                    
             
        
        
        
Answer:
x=29.9 degrees
Step-by-step explanation:
Sides we are given: x and side length of 92. 
Angle we are given: angle of measure 18.
Relative to the angle we are given, we have the opposite and adjacent sides, so we use TOA, as O is opposite and A is adjacent. 
Tangent 18= x/92
Tangent 18 (92)=x
x=29.9 degrees
 
        
                    
             
        
        
        
Answer:
   {y | y ≥ -11 }
Step-by-step explanation:
To answer a question like this, it is often helpful to graph the function or to rewrite it to vertex form.
   f(x) = 3x^2 +6x -8
   f(x) = 3(x^2 +2x) -8 . . . . factor the leading coefficient from x terms
   f(x) = 3(x^2 +2x +1) -8 -3(1) . . . . complete the square*
   f(x) = 3(x +1)^2 -11
The form of this equation tells you that the graph is a parabola that opens upward. Its vertex is (-1, -11), so the minimum value is -11. The range is the vertical extent of the function values, so goes upward from -11:
   y ≥ -11
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* Vertex form is ...
   f(x) = a(x -h)^2 +k
where "a" is the vertical scale factor and (h, k) is the vertex. When "a" is positive, the parabola opens upward; when it is negative, the parabola opens downward.
The square is completed by adding the square of half the x-coefficient inside parentheses, and subtracting the equivalent amount outside parentheses. Here, we had 2x inside parentheses, so we added (2/2)^2 = 1 inside and -3(1) outside, because "a" was 3.
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Brainly provides tools for properly rendering math symbols. 2-11 is not the same as ≥-11.
 
        
             
        
        
        
4x + 5 - 5x 
4 x 12+ 5 
48 + 5 - 5 
53 - 5 
48