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A tangent at any point of a circle is perpendicular to the radius through the point of contact. Therefore, ∠OTA = 90° and ΔOTA is a right-angled triangle. By Pythagoras theorem, OA2 = OT2 + AT2 52 = OT2 + 42 OT2 = 25 - 16 OT2 = 9 OT = ± 3 Radius OT cannot be negative. Hence, the radius is 3 cm.
Find the volume of a frustum of a cone with a height of 9 cm, the radius of the upper base as 4 cm, and the radius of the lower base as 6 cm. (Use π = ...
A class of 50 students has an average Chemistry exam score of 65. There average of boys and girls are 3: 2 in the class. Boys have an average score of 7...
The diameter of the base of a cylindrical drum is 14 cm and its height is 15 cm. The drum is full of water and the water from the drum is transferred to...
9 years ago from now, ratio of ages of ‘R’ and ‘L’ was 2:5, respectively. If ‘L’ is 5 years elder to ‘R’, then what will be the age of â...
Determine the mean of the following observations:
24, 26, 22, 25, 20, 21, 24, 25
If (a + b) = 8 and ab = 10, then find the value of (a2Â + b2).
The following table shows the number of students enrolled in different courses at a university:
Evaluate: {0.808 of 7500 - 80 × (1.458 + 2.242)}
When x is added to each of 9, 15, 21 and 31, the numbers so obtained are in proportion. What is the mean proportional between the numbers (3x-2) and (5x...
A number is increased by 20% and then decreased by 20%. What is the net effect on the number?
