Answer: Choice C) 124 square cm
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Explanation:
Let's calculate the area of the trapezoid shown
b1 and b2 are the parallel bases; h is the height of the 2D trapezoid
b1 = 2
b2 = 5
h = 1.5
A = h*(b1+b2)/2
A = 1.5*(2+5)/2
A = 1.5*7/2
A = 10.5/2
A = 5.25
The area of one 2D trapezoid is 5.25 sq cm
There are two of these trapezoids that form the base faces of the trapezoidal prism. So the total base area is 2*5.25 = 10.5 sq cm
Keep this value (10.5) in mind. We'll use it later.
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Now onto the lateral surface area (LSA)
It turns out that the formula for the LSA is
LSA = p*d
where
p = perimeter of the trapezoid shown
d = depth or height of the 3D trapezoid (I'm not using h as it was used earlier)
This formula works for any polygonal base. It doesn't have to be a trapezoid.
In this case the perimeter is,
p = 1.7+2+2.65+5
p = 11.35
So
LSA = p*d
LSA = 11.35*10
LSA = 113.5
Add this LSA to the base area found earlier
10.5+113.5 = 124
The total surface area is 124 square cm
Answer:
x=-7, y=-9. (-7, -9).
Step-by-step explanation:
-3x+4y=-15
4x-y=-19
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y=4x-(-19)
y=4x+19
-3x+4(4x+19)=-15
-3x+16x+76=-15
13x=-15-76
13x=-91
x=-91/13
x=-7
4(-7)-y=-19
-28-y=-19
y=-28-(-19)
y=-28+19
y=-9
Answer:
To fill your box with one inch cubes first cover the bottom. This takes 48 rows of small cubes, each row containing 72 cubes. Thus to cover the bottom takes 48 x 72 = 3456 cubes. Since your box is 6" high you need 6 layers of 3456 cubes or 6 x 3456 = 20736 cubes to fill the box.
Answer:
0.305
0.097
Step-by-step explanation:
…..………....
2x + 3y = 6
3y = -2x + 6
y = -2/3x + 2.....u have a y int of 2 or (0,2)....u have a slope of -2/3
the x int can be found by subbing in 0 for y and solving for x
2x + 3(0) = 6
2x = 6
x = 6/2
x = 3......so ur x int is 3 or (3,0)
so this is graph : C
