December 2017

Circle a has circumference numerically equal to its area. If the certain square has the same area with the circle a, then what would be the length of its sides?

An arch 18 m high has a form of a parabola with a vertical axis. The length of a horizontal beam placed across the arch 8 m from the top is 64 m. Find the width at the bottom.

The ratio of two numbers is 6:7. If the large number is 42, what number is the smaller one?

Point (3, 4) is the center of the circle that is tangent to the x-axis. What is the point of tangency?

A large sewer system will cost P8,750,000 annually. There will be favorable consequences to the general public of P25,000,000 annually and adverse consequences to a small segment of the public of P2,500,000 annually. What is the benefit to cost ratio?

A highway has a gradient of 0.087. How many meters would an automobile rise vertically if it traveled 2 miles along the way?

When an irregular shaped object is placed in a cylindrical vessel of water whose radius is 8 cm, the water rises 6 cm. What is the volume of the rock if it is completely submerged?

The front wheel of a bicycle has a diameter of 50 cm. Approximately how many times has the front wheel turned if the bicycle has traveled 1 km?

In a company meeting, coffee and cake were served during the break. Of the 50 people who attended the meeting, 30 ate cake while 34 took coffee. If there were 22 people who had both cake and coffee, how many have neither coffee nor cake?

Find x if the point (x, 2) is equidistant from (3, 2) and (7, 2).