The LCM of two numbers is 120 and the numbers are in the ratio 3: 8. The sum of the numbers will be:
Simplify the following:
\(
\frac{\cos x - \sqrt{3}\sin x}{2}
\)
\(
\cos\!\left(\tfrac{\pi}{3} - x\right)
\)
\(
\sin\!\left(\tfrac{\pi}{3} + x\right)
\)
\(
\cos\!\left(\tfrac{\pi}{3} + x\right)
\)
\(
\sin\!\left(\tfrac{\pi}{3} - x\right)
\)
Find the value of the following expression.
\(
12^{3} + (-8)^{3} + (-4)^{3}
\)
Suppose ΔABC be a right-angled triangle where ∠A = 90° and AD ⊥ BC. If area (ΔABC) = 80 cm² and BC = 16 cm, then the length of AD is:
The following pie chart represents the percentage-wise weight distribution of different fruits out of 2500 kg of fruits at one fruit shop.
What is the difference between the weights of banana and orange at the fruit shop?
General English
Sentences of a paragraph are given below in jumbled order. Arrange the sentences in he correct order to form a meaningful and coherent paragraph
A. Shalini was scrolling down the phone screen while waiting for her friend.
B. Her triend brought a bouquet for shalini from the market place.
C. When her friend arrived, they went to the market place.
D. The market place was thronging with people.
Rearrange the parts of the sentence in correct order.
A 2007-2009 study
P. explored forward thinking techniques
Q. to synchronise time on board deep
R. space probes for accurate navigation, in
S. particular looking into low-cost options