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In the diagram above, < SQR = 52º and < PRT = 16º. Find the value of the angle marked y
For what values of x is \(\frac{x - 3}{4}\) + \(\frac{x + 1}{8}\) \(\geq\) 2 ?
Factorize completely: 27x\(^2\) - 48y\(^2\)
The number 1621 was subtracted from 6244 in base x. If the result was 4323, find x.
The length and breadth of a cuboid are 15 cm and 8 cm respectively. If the volume of the cuboid is 1560 cm\(^3\), calculate the total surface area.
Given that P is 25 m on a bearing of 330º from Q, how far south of P is Q?
A car valued at $ 600,000.00 depreciates by 10% each year. What will be the value of the car at the end of two years?
In the diagram above, O is the centre of the circle. If | \(\overline{OA}\) = 25 cm and |\(\overline{AB}\) = 40 cm, find |\(\overline{OH}\)|
A ladder 15 m long leans against a vertical pole, making an angle of 72º with the horizontal. Calculate, correct to one decimal place, the distance between the foot of the ladder and the pole.
In the diagram above, \(\overline{MN} || \overline{KL}\), \(\overline{ML}\) and \(\overline{KN}\) intersect at X. |\(\overline{MN}\)| = 12cm, |\(\overline{MX}\)| = 10cm and |\(\overline{MN}\)| = 9cm. If the area of \(\triangle\) MXN is 16cm\(^2\), calculate the area of \(\triangle\) LXK
A piece of rod of length 44 m is cut to form a rectangular shape such that the ratio of the length to the breadth is 7: 4. Find the breath.
Find the quadratic equation whose roots are \(\frac{2}{3}\) and - 1
Gifty, Justina, and Frank shared 60 oranges in the ratio 5: 3: 7 respectively. How many oranges did Justina receive?
A number is added to both the numerator and the denominator of the fraction \(\frac{1}{8}\) if the result is \(\frac{1}{2}\), find the number.
Consider the following statements:
m = Edna is respectful
n = Edna is brilliant,
If m ⇒ n, which of the following is valid?
Make R the subject of the relation V = πl(R\(^2\) - r\(^2\))
A cylindrical metallic barrel of height 2.5m and radius 0.245 is closed at one end. Find, correct to one decimal place, the total surface area of the barrel (Take π = \(\frac{22}{7}\))
A variable W varies partly as M and Partly inversely as P. Which of the following correctly represents the relation with k\(_1\) and k\(_2\) constants?
If 3x - 2y = - 5 and x + 2y = 9, find the value of \(\frac{x - y}{x + y}\)
The interior angle of a regular polygon is 168º. Find the number of sides of the polygon.