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
In the table states the frequency of the marbles. It says in the 40 tries she had a frequency of 24 marbles that are yellow and for green it states the frequency is 16 marbles for green.
Answer:
A) 26
E) 12
Step-by-step explanation:
11x ≥ 132
x ≥ 12
The solution set would include numbers greater than or equal to 12
Answer:
x=30°
Step-by-step explanation:
Because of the given congruency,
Angle A = Angle D = 65°.
Angle C = 55°
Angle B = Angle E = 2x
Now, In Triangle ABC,
Angle A + Angle B + Angle C = 180°.
65° + 2x + 55° = 180°
120 + 2x = 180
2x = 60
x = 30°
HOPE IT HELPS!!!
Rule= (x,y) is now (y,x) so coordinates of (5,4) now would be (4,5). this is the rule for y=x problems so you take the coordinates and flip them for every point.
