Laura T.

Tutor for nine years

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Trigonometry

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Question:

A rectangle has dimensions 10 cm by 5 cm. Determine the measures of the angles at the point where the diagonals intersect.

Laura T.

Answer:

The diagram below shows the rectangle with the diagonals and half one of the angles with size x. tan(x) = 5/2.5 = 2 , x = arctan(2) larger angle made by diagonals 2x = 2 arctan(2) = 127 (3 significant digits) Smaller angle made by diagonals 180 - 2x = 53

Chemistry

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Question:

The number of moles of solute present in 1 kg of a solvent is called its

Laura T.

Answer:

molality

Algebra

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Question:

Evaluate: 11 + sqrt(-4 + 6×4÷3)

Laura T.

Answer:

13

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