Inapakia....
|
Bonyeza na Ushikilie kuvuta kuzunguka |
|||
|
Bonyeza Hapa Kufunga |
|||
Swali 1 Ripoti
If \( \cos \theta = \frac{12}{13} \). Find \( \theta + \cos^2 \theta \)
Swali 2 Ripoti
Maelezo ya Majibu
Swali 3 Ripoti
Swali 4 Ripoti
Maelezo ya Majibu
Swali 5 Ripoti
Swali 6 Ripoti
Swali 8 Ripoti
Simplify \( \sqrt{160r^2} + \sqrt{71r^4} + \sqrt{100r^2} \)
Swali 9 Ripoti
Simplify and express in standard form \( \frac{0.00275 \times 0.0064}{0.025 \times 0.08} \)
Swali 10 Ripoti
Swali 11 Ripoti
Swali 12 Ripoti
If \(a = 2\), \(b = -2\) and \(c = -\frac{1}{2}\), evaluate \((ab^2 - bc^2)(a^2c - abc)\)
Swali 14 Ripoti
In the figure, YXZ = \(30^\circ\), XYZ = \(105^\circ\) and XY = 8cm. Calculate YZ
Swali 15 Ripoti
In the figure, PQR is a semicircle. Calculate the area of the shaded region.
Maelezo ya Majibu
Swali 16 Ripoti
Swali 17 Ripoti
Find the curved surface area of the frustrum in the figure.
6x = 4(6 + x) = 24 + 4x
x = 12 = c = πRL−πL
= π(6)√182+62−π×4×√122+42
= 6π√360−4π√160
= 36π√10−16π√10
= 20π√10 cm2
Swali 18 Ripoti
Swali 19 Ripoti
In triangles XYZ and XQP, XP = 4cm, XQ = 5cm and PQ = QY = 3cm. Find ZY
Maelezo ya Majibu
Swali 20 Ripoti
Swali 21 Ripoti
Below are the scores of a group of students in a test:
| Scores | 1 | 2 | 3 | 4 | 5 | 6 |
| No. of students | 1 | 4 | 5 | 6 | \(x\) | 2 |
If the average scores is 3.5, find the value of x.
Swali 22 Ripoti
Swali 23 Ripoti
Three children shared a basket of mangoes in such a way that the first child took \( \frac{1}{4} \) of the mangoes and the second \( \frac{3}{4} \) of the remainder. What fraction of the mangoes did the third child take?
Swali 24 Ripoti
Swali 25 Ripoti
What is the equation of the quadratic function represented by the graph?
i.e. B where the graph touches the graph touches the x-axis y = 0
x2 - x - 2 = 0 = (x + 1)(x - 2) = 0
Hence roots of the equation are -1 and 2 as shown in the graph
Swali 26 Ripoti
Swali 27 Ripoti
Swali 28 Ripoti
Swali 29 Ripoti
If \(x + \frac{1}{x} = 4\), find \(x^2 + \frac{1}{x^2}\)
Swali 30 Ripoti
Swali 31 Ripoti
Simplify \(4\frac{3}{4} - 6\frac{1}{4}\)
Swali 32 Ripoti
Swali 33 Ripoti
Maelezo ya Majibu
Swali 34 Ripoti
Swali 35 Ripoti
Swali 36 Ripoti
Swali 37 Ripoti
Swali 38 Ripoti
Simplify \( \frac{1}{x-2} + \frac{1}{x+2} + \frac{2x}{x^2-4} \)
Swali 39 Ripoti
If the heights of two circular cylinder are in the ratio 2 : 3 and their volumes?
h1h2
= 23
h2 = 2h13
r1r2
= 98
r2 = 9r18
v1 = π
(9r18
)2(2h13
)
= π
r1 2h1 x 2732
v = πr12h1×2732πr12h1
= 2732
v2 : v1 = 27 : 32
Swali 40 Ripoti
Swali 42 Ripoti
Swali 43 Ripoti
Find the solution of the equation \(x - 8\sqrt{x} + 15 = 0\)
Swali 44 Ripoti
Given that \(x^2 + y^2 + z^2 = 194\), calculate z if \(x = 7\) and \(\sqrt{y} = 3\)
Given that x2 + y2 + z2 = 194, calculate z if x = 7 and √y
= 3
x = 7
∴ x2 = 49
√y
= 3
∴ y2 = 81 = x2 + y2 + z2 = 194
49 + 81 + z2 = 194
130 + z2 = 194
z2 = 194 - 130
= 64
z = √64
= 8
Swali 45 Ripoti
Simplify \( \left(\frac{1}{x^{-1}} + \frac{1}{y^{-1}}\right)^{-1} \)
Swali 46 Ripoti
Je, ungependa kuendelea na hatua hii?