Answer:
rectangle: 30 in^2
triangle: 12 in^2
composite: 42 in^2
Step-by-step explanation:
area of a rectangle: length times width
area of a triangle:
composite area: break the area up by shapes you can find the area of, then add it back together
Imagine cutting out the tilted side of the cylinder such that the cylinder becomes vertical on that side, then sticking the piece that you previously cut out to the opposite side. This will form a vertical cylinder exactly.
Formula for volume of cylinder:
Base area × Height
= Area of circle × Height
= pie × radius^2 × Height
{Radius of circle, as indicated in the question, is 4, and height is 6}
= pie × (4)^2 × 6
= pie × 16 × 6
= pie × 96
= 96pie units^3 {Again, this question does not have units written down for each number, so write down the word "units" instead, and with a power of 3 since this is a volume.}
Hope this helps!
recall, slope = rise/run, and that a fraction is undefined when the denominator is 0, meaning this slope has a run = 0.
to make it short, when the slope is undefined, is a flag that we simply have a vertical line. Check the picture below.
Perimeter = 2(length + width)
59 = 2(14+x)
59 = 28 + 2x
31 = 2x
15.5 = x
Width = 15.5