Answer:
Part A: It would be a rectangle because the top face is a triangle and since the cut is parallel it would be the same shape.
Part B: It would be a rectangle because the faces that are perpendicular to the base of the rectangle are rectangles so the cut would be the same shape.
Note: The perpendicular sides look like squares, but you do not want to assume that they are squares unless it is stated.
Step-by-step explanation:
Answer:
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Answer:
The even numbers between 0 and X represents an arithmetic sequence with a common difference of 2
The rule of arithmetic sequence = a + d(n - 1)
Where a is the first term and n is the number of terms
So, for the even numbers between 0 and X
The first term = a = 0
d = 2
So, we need to find n at the last term which is X
∴ X = 0 + 2 ( n -1 )
∴ n - 1 = X/2
∴ n = X/2 + 1
The sum of the arithmetic sequence = (n/2) × (2a + (n−1)d)
Substitute with a and d and X
So, the sum = (n/2) * (2*0 + (n−1)*2)
= (n/2) * ((n−1)*2)
= n(n-1)
= (X/2 + 1) * (X/2)
= X/2 by (X/2 + 1)
So, The quick way to add all even numbers between 0 and X always works.
<span>The common denominator of the two fractions is: 8
</span><span>1/4 = (1*2)/(2*4) = 2/82/8 = (1*2)/(1*8) = 2/8
<span>Fractions adjusted to a common denominator1/4 + 2/8 = 2/8 + 2/82/8 + 2/8 = (2+2)/8(2+2)/8 = 4/84/8 = 1/2
The answer is 1/2.
hope this helps. </span></span>
