The sum of 7th terms of the series loga+loga2+loga3 + . . . . . . . . . is
If 5x+1-2 × 5x-3=0 What is the value of x ?
log53
log3 5
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3
Given A = 2i - 3j + 4k and B = i + 2j - k , what is the value of the dot product A. B?
A right-angled triangle has a hypotenuse of length 10 cm and one of its acute angles measures 30∘. What are the lengths of the other two sides?
The perimeter of a rectangle is 24 inches, and its length is 3 times its width. What are the length and the width of the rectangle?
A circle has a radius of 30 cm. Determine the length of the arc subtended by an angle of 60∘ at the center of the circle.