A pie was cut into two equal pieces. Each of the pieces of pie was cut into halves again, and each of those smaller pieces was c
ut into two equal pieces. If two of the pieces of the pie are eaten, what portion of the pie remains?
1 answer:
3/4
Step-by-step explanation:
If you cut a whole pie into two you get two (2) ½ pieces
1 ÷ 2 = ½
When you cut the two ½ pieces into two you get four (4) ¼ pieces;
½ ÷ 2 = ¼
When you cut the four ¼ pieces into two you get 8 1/8 pieces;
¼ ÷ 2 = ¹/8
Therefore the whole pie at this point is made up of 8 ¹/8 pieces. When two (2) of these pieces are eaten we are left with 6 ¹/8 pieces;
8 – 2 = 6
The portion of the pie left therefore is;
6 * ¹/8 pieces
= ⁶/8
= ³/4
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∠T = 135°
Step-by-step explanation:
Supplementary angles sum to 180°, thus
∠T + ∠S = 180
However, ∠T = 3∠S, hence
3∠S + ∠S = 180
4∠S = 180 ( divide both sides by 4 )
∠S = 45°, hence
∠T = 180° - 45° = 135°
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Step-by-step explanation:
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Answer:
A
Step-by-step explanation:
The net can be folded to form a pyramid
The matrix given is
![\left[\begin{array}{ccc}-5&1\\1&4\end{array}\right]](https://tex.z-dn.net/?f=%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-5%261%5C%5C1%264%5Cend%7Barray%7D%5Cright%5D%20)
To find determinant
![\left[\begin{array}{ccc}a&b\\c&d\end{array}\right]](https://tex.z-dn.net/?f=%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Da%26b%5C%5Cc%26d%5Cend%7Barray%7D%5Cright%5D%20)
we do

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Answer: 267.402
Step-by-step explanation:
The answer is 267.402 because 217.4 times 1.23 = 267.402.