Answer:
A. 1 rectangle, 2 triangles
B. AB = AE = 5
C. 36.5 square units
Step-by-step explanation:
<h3>A.</h3>
The attached figure shows 1 rectangle (square) and two triangles.
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<h3>B.</h3>
These sides are aligned with the grid, so their length is simply the difference in coordinates along the line:
AB = 2 -(-3) = 5
AE = 3 -(-2) = 5
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<h3>C.</h3>
The area of the square is ...
A = s^2 = 5^2 = 25
The area of triangle BCF is ...
A = 1/2bh = 1/2(3)(5) = 15/2
The area of triangle CDE is ...
A = 1/2bh = 1/2(8)(1) = 4
The total area is the sum of the areas of the square and two triangles:
total area = 25 +7.5 +4 = 36.5 . . . square units
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<em>Additional comment</em>
We note that segment CE divides the figure into <em>trapezoid</em> ABCE and <em>triangle</em> CDE. The trapezoid has bases 5 and 8, and height 5, so its area is ...
A = 1/2(b1 +b2)h = 1/2(5 +8)(5) = 32.5
Triangle CDE has the same area as computed above, 4 square units. So, the total area of the figure is ...
32.5 +4 = 36. 5 . . . . square units
The unit rates that would be most appropriate wold be : m/s
Speed is calculated by : distance/time
Distance measured in meters while time measured in second
So, m/s will be the most appropriate measurement
Answer:
747ft
Step-by-step explanation:
split the shape into two rectangles. First one has length of 25 and has width of 10 because 20ft plus the 10ft ill give you the whole 30ft at the top. Multiply 25 by 10. So area for first shape is 250ft. Second shape area is 497 because you multiply 7 by 20. Then add 497 and 250 you get 747.
There are 6 surfaces on a rectangular prism . 3 pairs of equal area.
Surface area 2wl + 2hw + 2 hl where h = height, w = width, l = length.
So inserting the given values:-
442 = 2*w*11 + 2 *8* w + 2*8*11
442 = 22w + 16w + 176
38w = 442-176 = 266
w = 7
width = 7 feet
I think it’s 5 but don’t get mad if it’s wrong