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The venn diagram above shows the numbers of students offering music and history in a class of 80 students. If a student is picked at random from the class, what is the probability that he offers Music only?
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Awọn alaye Idahun
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In the diagram above, PST is a straight line, PQ = QS = RS. If ∠RST = \(72^\circ\), find x
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In the diagram PQ is parallel to RS. What is the value of \( \alpha + \beta + \gamma \)
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In the diagram, a cylinder is surmounted by a hemispherical bowl. Calculate the volume of the solid
N.B h = r
V = πx(3)2 x 20 = 23×π×(3)3
180π+18π=198cm3
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In the diagram are two concentric circles of radii r and R respectively with centre O. If \(r = \frac{2}{5}R\), express the area of the shaded portion in terms of \(\pi\) and R
Ashaded portion = πR2−π(23R)2=πR2−4πR225
= πR2(1−23)=2125πR2
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Make \(r\) subject of the formula given that \(\frac{x}{r+a}=\frac{a}{r}\)
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The triangle PQR above is
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The slope of the tangent to the curve \(y = 2x^2 - 2x + 5\) at the point \((1, 6)\) is
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In the diagram above are two concentric circles of radii r and R respectively with center O. If r = 2/3R, express the area of the shaded portion in terms of π and R
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In the diagram above, \(XZ\) is the diameter of the circle \(XZW\), with center \(O\) and radius \(15/2\) cm. If \(XY = 12\) cm, find the area of the triangle \(XYZ\)
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Without using tables, evaluate (343)1/3 x (
0.14)-1 x (25)-1/2
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In the diagram above, a cylinder is summounted by a hemisphere bowl. Calculate the volume of the solid.
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Find the derivative of y = sin2(5x) with respect to x.
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In the diagram, XZ is the diameter of the circle XYZW, with centre O and radius \( \frac{15}{2} \)cm. If XY = 12cm, find the area of the triangle XYZ
Awọn alaye Idahun
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Using the graph find the values of \(p\) and \(q\) if \(px + qy \ge 4\)
y2?y1x2?x1?m
y?0x+4?12
2y ? ? x + 4, -x + 2y ? 4 = px + qy ? 4
p = -1, q = 2
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Simplify \( \frac{3}{5} \div \left(\frac{2}{7} \times \frac{4}{3} \div \frac{4}{9}\right) \)
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