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Question 1 of 10

1. Question

The gradient of a line is \(-1\) and the line passes through the points $\left( {4,2} \right)$ and $\left( {a, – 3} \right)$. Find the value of \(a \).

\(a = \)

Correct

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Question 2 of 10

2. Question

Find the interior angle of a 30-sided regular polygon.

\( ^\circ \)

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Question 3 of 10

3. Question

Which of the following is a regular quadrilateral?

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Question 4 of 10

4. Question

Find \(\theta \), correcting to the nearest degree, if the area of the triangle is 16 cm^{2}.

\(\theta = \) degree(s)

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Incorrect

Hint

\(Area = \dfrac{1}{2}ab\sin C\)

Question 5 of 10

5. Question

Find \(\theta \), correcting to the nearest degree.

A boat sails on a bearing of \(\text{S}30^\circ\text{W}\) for 15 km, then changes direction and sails for 22 km. Its bearing from the starting point is now \(\text{N}55^\circ\text{W}\). Find the distance, to one decimal place, between the starting point and the current position.’