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In the diagram, PQS is a circle with center O. RST is a tangent at S and ∠SOP = 96o. Find ∠PST
Given that p varies directly as q while q varies inversely as r, which of the following statements is true?
Find the value of x such that the expression \(\frac{1}{x}+\frac{4}{3x}-\frac{5}{6x}+1\) equals zero
Solve the equation \(3y^2\) = 27y
Make t the subject of formula \(k = m\sqrt{\frac{t-p}{r}}\)
Find the equation whose roots are -8 and 5
Form an inequality for a distance d meters which is more than 18m, but not more than 23m
Simplify \(\frac{1}{x-3}-\frac{3(x-1)}{x^2 - 9}\)
Given that (2x + 7) is a factor of \(2x^2 + 3x - 14\), find the other factor
If x varies inversely as y and \(x = \frac{2}{3}\) when y = 9, find the value of y when \(x=\frac{3}{4}\)
Given that \(27^{(1+x)}=9,)\ find x
Given that x = -\(\frac{1}{2}\) and y = 4 evaluate 3x\(^2y+xy^2\)
In the diagram, POS and ROT are straight lines, OPQR is a parallelogram. |OS| = |OT| and ∠OST = 50°. Calculate ∠OPQ.
If the interior angles of hexagon are 107°, 2x°, 150°, 95°, (2x-15)° and 123°, find x.
Each side of a regular convex polygon subtends an angle of 30° at its center. Calculate each interior angle
In the diagram, PQRS is a circle center O. PQR is a diameter and ∠PRQ = 40°. Calculate ∠QSR.
Which of the following statement is not true about a rectangle? I.Each diagonal cuts the rectangle into two congruent triangles. II. A rectangle has four lines of symmetry III. The diagonals intersect at right angles
The probabilities that Kodjo and Adoga pass an examination are \(\frac{3}{4}\) and \(\frac{3}{5}\) respectively. Find the probability of both boys failing the examination
Calculate the standard deviation of the following marks; 2, 3, 6, 2, 5, 0, 4, 2
The bar chart shows the distribution of marks scored by a group of students in a test. Use the chart to answer the question below
How many students took the test?