Find the value of x in the diagram above
Calculate the area of the composite figure above.
Solve the logarithmic equation: \(log_2 (6 – x) = 3 – log_2 x\)
Tickets for the school play were priced at โฆ520.00 each for adults and โฆ250.00 each for kids. How many kids’ tickets were sold if the total sales were โฆ171,000.00 and there were 5 times as many adult tickets sold as children’s tickets?
The line \(3y + 6x\) = 48 passes through the points A(-2, k) and B(4, 8). Find the value of k.
Find the value of the angle marked x in the diagram above
The second term of a geometric series is \(^{-2}/_3\) and its sum to infinity is \(^3/_2\). Find its common ratio.
A rectangle has one side that is 6 cm shorter than the other. The area of the rectangle will increase by 68 cm\(^2\) if we add 2 cm to each side of the rectangle. Find the length of the shorter side.
Evaluate \(\frac{5}{8} – \frac{3}{4} รท \frac{5}{12} \times \frac{1}{4}\)
Bello buys an old bicycle for โฆ9,200.00 and spends โฆ1,500.00 on its repairs. If he sells the bicycle for โฆ13,400.00, his gain percent is
Find the area and perimeter of a square whose length of diagonals is 20\(\sqrt2\) cm.
Find the volume of the composite solid above.
Two dice are tossed. What is the probability that the total score is a prime number.
The difference between an exterior angle of (n – 1) sided regular polygon and an exterior angle of (n + 2) sided regular polygon is 6\(^o\), then the value of “n” is
A student is using a graduated cylinder to measure the volume of water and reports a reading of 18 mL. The teacher reports the value as 18.4 mL. What is the student’s percent error?
The graph above depicts the performance ratings of two sports teams A and B in five different seasons
In the last five seasons, what was the difference in the average performance ratings between Team B and Team A?
Express 16.54 x 10\(^{-5}\) – 6.76 x 10\(^{-8}\) + 0.23 x 10\(^{-6}\) in standard form
The third term of an A.P is 6 and the fifth term is 12. Find the sum of its first twelve terms
Find the volume of the cylinder above
[Take \(\pi= ^{22}/_7\)]
Find the compound interest (CI) on โฆ15,700 for 2 years at 8% per annum compounded annually.
Find the area, to the nearest cm\(^2\), of the triangle whose sides are in the ratio 2 : 3 : 4 and whose perimeter is 180 cm.