Question
A person walks 7 cm North, then it turns to his right
and walks for another 13 cm. then he turns right and walks 4 cm, then he turns West and walks 17 cm, then finally it turns to his left and walks 3 cm. Where is the person now with respect to its starting point?Solution
Required distance = 17 – 13 = 4 cm.
A boat can travel upstream at 12 km/h and downstream at 18 km/h. What is the speed of the boat in still water?
A sphere has a diameter of 10 cm. A cone with a height of 10 cm and a radius of 5 cm is removed from the sphere. What is the volume of the remaining solid?
A pipe can fill a tank in 10 hours, while another pipe can empty it in 15 hours. If both pipes are opened simultaneously, in how many hours will the tan...
If total lakes in X are 25% more than total parks in P and total parks in X are 50% more than total parks in R, then find total parks and lakes in X.
If sin(3θ) = cos(2θ), find θ.
If (a + b) = 8 and ab = 10, then find the value of (a2Â + b2).
Solve the equation:sin(x) + cos(x) = 2·sin(x + α). Then the value of α is:
A basket contains 4 yellow balls, 10 green balls, and 6 white balls. If two balls are taken out one after another without putting the first one back, fi...
Factor the polynomial: x³ - 6x² + 11x - 6.
Maximize Z = 3x + 5y
Subject to:
x – y ≥ 2
x + y ≥ 4
x, y ≥ 0
What can be concluded about the feasible region?
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