Recent content | MATHalino

8 years 5 months ago

Which of the following is the value of x^2 + 1/x^2 when x + 1/x = 5?

8 years 5 months ago

Spherical degree is a unit of a spherical area taken as 1/720 of the surface of the sphere. How many spherical degrees hemispheres have?

8 years 5 months ago

Jojie was sent to the store to get 11 cans of spam. Jojie could carry only two cans at a time. How many trips would Jojie have to make?

8 years 5 months ago

A flywheel is brought from rest up to a speed of 1500 rpm in 1 minute. What is the average angular acceleration, alpha?

8 years 5 months ago

The triangle defined by the points A(6, 1), B(2, 4), C(-2, 1) is…

8 years 5 months ago

If three coins are tossed, how many possible ways are there of at least one coin showing tails?

8 years 5 months ago

A circle with radius r has a circumference equal to the perimeter of a square whose side is S. Which of the following is true?

8 years 5 months ago

Convert the equation (3a + 2b)^2 into a polynomial.

8 years 5 months ago

Find C so that the line y = 4x + 3 is tangent to the curve y = x^2 + C.

8 years 5 months ago

Find the equation of the line whose slope is -3 and the x-intercept is 5.

8 years 5 months ago

What is the value of x in trigonometric substitution with an integrand involving (a^2 - x^2)?

8 years 5 months ago

A decagon has how many diagonals?

8 years 5 months ago

Find the equation of the line through (4, -7) parallel to the y-axis.

8 years 5 months ago

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?

8 years 5 months ago

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.

8 years 5 months ago

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

8 years 5 months ago

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

8 years 5 months ago

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?

8 years 5 months ago

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

8 years 5 months ago

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?

8 years 5 months ago

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?

8 years 5 months ago

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.

8 years 5 months ago

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

8 years 5 months ago

A product has a current selling price of P325. If its selling price is expected to decline at the rate of 10% per annum because of obsolescence, what will be its selling price four years hence?

8 years 5 months ago

Ernie’s average in 6 subjects is 83. If his lowest grade is disregarded, his remaining subject is 84. What is his lowest grade?

8 years 5 months ago

Quiz: Random Problems 03

8 years 5 months ago

Quiz: Random Problems Set 3

8 years 5 months ago

What annuity over a 10 year period at 8% interest is equivalent to a present worth of P10,000?

8 years 5 months ago

A car that accelerates uniformly passes at point A with a speed of 30 kph. It reaches point B, 21 km from A, after 18 minutes. Find the acceleration of the car.

8 years 5 months ago

A hollow glass bowl in the shape of a sphere of radius 4” is filled with water to a depth of 3”. If the water flows out through a small hole in the bottom so that the level drops 2”, how much water has escaped in in^3?

8 years 5 months ago

A cone was formed by rolling a thin sheet of metal in a form of a sector of a circle 72 cm in diameter with a central angle of 150 deg. Find the volume of the cone.

8 years 5 months ago

Determine the radius of the circle tangent to the coordinate axes and to another circle with center at (5, 5) and of radius 5.

8 years 5 months ago

Find the volume generated by revolving the area on the 1st and 4th quadrants by the ellipse y^2 / 9 + x^2 / 4 = 1 about the line x = 3.

8 years 5 months ago

Water is flowing into a conical cistern at the rate of 5 m^3/min. The height of the cone is 10 m and the radius of the upper base 5 m.

8 years 5 months ago

Find the length of the latus rectum of the following ellipse: 25x^2 + 9y^2 - 300x - 144y + 1251 = 0.

8 years 5 months ago

What time after 3:00 o’clock would the hour-hand and the minute-hand of a continuously driven clock subtends an angle of 45deg; for the second time?

8 years 5 months ago

A right spherical triangle ABC of a sphere of radius 50 cm has angle C = 90 deg, A = 56 deg and side b = 47 deg. Find the area of the triangle in square centimeter.

8 years 5 months ago

The total surface area of a closed cylindrical tank is 153.94 square meter. If the volume is to be maximum, what is its height in meters.

8 years 5 months ago

Find the area bounded by the y-axis and the lines y = 6x - 1 and y = 0.25x + 3.

8 years 5 months ago

A time deposits of P110,000 for 31 days earns P890.39 on maturity date after deducting the 20% withholding tax on interest income. Find the rate of interest per annum.

8 years 5 months ago

A trough has an open top 0.30 m by 6 m and closed vertical ends which are equilateral triangles 30 cm on each side. It is filled with water to half its depth. Find the volume of water in cubic meters.

8 years 5 months ago

Find the angle subtended by the line segment through (0, 0, 0) and (3, 8, 5) from the xy-plane.

8 years 5 months ago

Quiz: Random Problems 02

8 years 5 months ago

Quiz: Random Problems Set 4

8 years 5 months ago

Find the compounded interest of P7,000 for 10 years at 6% compounded monthly.

8 years 5 months ago

In a class experiment, a student needs 5 liters of 6% solution. He found a 4% and a 10% solution in the laboratory. How many liters of each solution should he mix in order to obtain 5 liters of 6% solution?

8 years 5 months ago

What is the full capacity in cubic meter of a water tank having the shape of a frustum of a pyramid with lower and upper base areas of 32 m^2 and 8 m^2 and altitude of 6 m?

8 years 5 months ago

A stone is projected from the ground with a velocity of 15 m/s at an angle of 30 deg; with the horizontal ground. How high will it rise?

8 years 5 months ago