Find the surface area of the composite solid and round to the nearest tenth. Explain your answer.
1 answer:
Well, notice the composite is really just 4 triangles atop sitting on top of 4 rectangles, and all of them area stacked up at the edges.
so, for the rectangle's sides,
front and back are two 6x3 rectangles
left and right are two 6x3 rectangles
the bottom part is a 6x6 rectangle
now, we don't include the 6x6 rectangle that's touching the triangles, because that's inside area, and is not SURFACE area, so we nevermind that one.
now, the triangles are just four triangles with a base of 6, and a height of 4, in red noted there.
so, just get the area of all those rectangles and the triangles, sum them up and that's the surface area of the composite,
so, for the rectangle's sides,
front and back are two 6x3 rectangles
left and right are two 6x3 rectangles
the bottom part is a 6x6 rectangle
now, we don't include the 6x6 rectangle that's touching the triangles, because that's inside area, and is not SURFACE area, so we nevermind that one.
now, the triangles are just four triangles with a base of 6, and a height of 4, in red noted there.
so, just get the area of all those rectangles and the triangles, sum them up and that's the surface area of the composite,
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<h2>Hello!</h2>
The answer is:
The correct option is the first option:
To write the equation of the line in slope-interception form we need to extract all the information that we need from the graphic.
We must remember that the slope-interception form of the lines is:
Where,
y, is the function
m, is the slope of the line
x, is the variable
b, is the y-axis intercept
We can find the slope using the following formula:
Which is for this case:
As we can see from the graphic, the line is decresing, so the sign of the slope "m" will be negative, so:
We can find the value of "b" seeing where the line intercepts the y-axis.
As we can see it intercept the y-axis at:
Then, now that we already know the value of "m" and "b", we can write the equation of the line:
So, the correct option is the first option:
Have a nice day!