Through which angle of rotation does the image of a regular pentagon coincide with its preimage?
2 answers:
<u>Answer-</u>
<em>When rotated a angle of 72°, a regular pentagon coincides with its pre-image.</em>
<u>Solution-</u>
A polygon is regular when all angles are equal and all sides are equal. So, when a pentagon's all 5 angles and sides are equal then it's called as a regular pentagon.
The angel subtended by two consecutive radius of a regular pentagon(i.e the line joining vertices and the center of the pentagon) at the center is 72°.
Due to its symmetry when a regular pentagon is rotated 72° around its center(both clockwise and counter-clockwise), it produces same pentagon as before.
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Answer:
$38.31
Step-by-step explanation:
Given:
Pure silver that cost $33.48 per ounce used to form $24.35 alloy/ounce.
Question asked:
How many ounces of pure silver were used to make an alloy of silver costing $27.87 per ounce?
Solution:
At cost $24.35/ounce, pure silver is mixed = $33.48
At cost $1/ounce, pure silver is mixed =
At cost $27.87/ounce, pure silver is mixed =
Thus, $38.31 ounces of pure silver were used to make an alloy of silver costing $27.87 per ounce.