Answer:
3:12 part to whole
Step-by-step explanation:
12 pieces of candy = whole
3 reese's = part
3 part : 12 whole
Step-by-step explanation:
C= pi×d
d=.5 meters
so plug in the numbers
3.14 × .5= 1.75
circumference= 1.75 meters
Answer:
8
Step-by-step explanation:
To find the mean, add all the numbers together and divide by the amount of numbers there are.
(3 + 3 + 4 + 4 + 8 + 8 + 8 + 10 + 12 + 20)/10 = answer
Simplify. First, solve the parenthesis, then divide.
(80)/10 = answer
8 = answer
8 is the mean of the data set.
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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-2) and (10x+7)
Step-by-step explanation:
10x²-13x-14
10x²-20x+7x-14
10x(x-2)+7(x-2)
(x-2)(10x+7)
the factors are (x-2)(10x+7)
meaning that the length and breadth are (x-2) and (10x+7)
