jPxd93H-1 Find the magnitude of the sum $\mathbf{A} + \mathbf{B}$
5 years ago
vSk9ZBx-2 Find the uv-coordinates of the x-intercept of the given line.
5 years ago
vSk9ZBx-1 Find the uv-coordinates of the y-intercept of the given line.
5 years ago
R3y8Yuq-3 determine the volume of earthwork by prismoidal correction formula.
5 years ago
R3y8Yuq-2 determine the volume of earthwork by prismoidal formula.
5 years ago
R3y8Yuq-1 determine the volume of earthwork by end area.
5 years ago
vSk9ZBx-3 Find the equation of the given line in the uv-plane.
5 years ago
For a spherical triangle: A = 63deg 19.6min; b = 124deg 17.8min; and c = 83deg 16.6min, find a.
5 years ago
Find the area reflected by the triangle ABC on the xy-plane with A(1, 10, 10), B(6, 2, 4) and C(12, 6, 1).
5 years ago
P3000 quarterly for ten years accumulates to P181,205.95, find the nominal rate of interest compounded quarterly.
5 years ago
Find the radius of the circumscribing circle of the regular octagon having an area of 320 cm2.
5 years ago
Two men starting at the same point walk in opposite direction for 4 meters turn left and walk another 3 meters. What is the distance between them?
5 years ago
What is the number that is one half of one quarter of one tenth of 400?
5 years ago
Find the area of the spherical lune of radius 2.5 m and a central angle of 15°.
5 years ago
Through a given cone of altitude h and base A, two planes are passed parallel to the base, cutting the altitude $\frac{1}{3}h$ and $\frac{2}{3}h$ units from the base. Find the ratio of the volumes of the two frustums thus formed.
5 years ago
A man invested P100,000 at an interest rate of 10% compounded annually. What will be the final amount of his investment, in terms of today’s peso, after 5 years, if inflation remains the same at the rate of 8% per year?
5 years ago
Determine the volume of a regular tetrahedron of edge 2 ft.
5 years ago
Find the capacity of a conical vessel that is made from a semi-circular tin of radius 2.5 m.
5 years ago
z1UpedR-2 the numbers are even and repetition of digit is not allowed.
5 years ago
At what value of x will the function $f(x) = \dfrac{x - 4}{x + 2}$ is discontinuous?
5 years ago
Find the maximum and minimum values of $$ 3^{\sin x} for 0^\circ \le x \le 360ˆ\circ $$
5 years ago
Two triangles have equal bases. The altitude of one triangle is 3 units more than its base while the altitude of the other is 3 units less than its base. If the areas of the triangles differ by 21 square units, find the altitude of the smaller triangle.
5 years ago
In how many ways can you line up 5 persons if two persons refuse to follow each other?
5 years ago
Find the sum of the first terms of the progression 2, 4, 8, 16,…
5 years ago
The sum of the digits of a 3-digit number is 17. The hundred’s digit is twice the unit’s digit. If 396 be subtracted from the number, the order of the digits will be reversed. Find the number.
5 years ago
If one third of the air in the tank is removed by each stroke of an air pump, what part of the total air will be removed in 6 strokes?
5 years ago
Chords AB and AC are drawn on a circle of radius 10 inches. Find the angle between the chords if the arc BAC is 28 inches long.
5 years ago
A circle 8 cm in radius is tangent to a line at A. Another circle 3 cm in radius is tangent also to the same line at B. Find the distance AB if the two circles are tangent externally to each other.
5 years ago
A hole 10 inches in diameter is to be punched out from a sphere having a diameter of 16 inches. Determine the volume punched out if the center of the hole is along the diameter of the sphere.
5 years ago
A boy is 25 years younger than his father. In 10 years, his father will be twice his age. Find the age of the boy.
5 years ago
Two regular pentagons are concentric to each other. One of which has sides of 20 m and the other has sides of 10 m. If their corresponding vertices are in the same direction, find the area inside the larger pentagon but outside the smaller pentagon.
5 years ago
The area bounded by the waterline of a reservoir is determined by using planimeter and the following are the results: A1 = 20,000 m2; A2 = 18,000 m2; A3 = 14,000 m2; A4 = 10,000 m2; and A5 = 8,000 m2. If the contour interval is 2 m, find the capacity of
5 years ago
A non-square rectangle is inscribed in a square so that each vertex of the rectangle is at the trisection point of the different sides of the square. Find the ratio of the area of the rectangle to the area of the square.
5 years ago
A trapezoid has an area of 360 m2 and altitude of 20 m. Its two bases have ratio of 4:5. One of the bases i
5 years ago
The magnetic bearing of a line was recorded as S 80° 15' W in 2000 at Mactan Island which had a declination of 16° E in that year. Compute the present magnetic bearing of the same line in 2006 if the declination in 2006 is 4° 30' E.
5 years ago
A slope of 20 degrees in percent is most nearly equal to:
5 years ago
A cube is 6 inches in edge. A cutting plane is passed through the midpoint of three adjacent edges. Find the volume of the smaller solid.
5 years ago
Determine the amplitude of $y = 4 \cos 2x$.
5 years ago
I need guidance in solving the balance steel area
5 years ago
From a tank filled with 240 gallons of alcohol, 60 gallons are drawn off and the tank is filled up with water. Then 60 gallons of the mixture are removed and replaced with water, and so on. How many gallons of alcohol remain in the tank after 5 drawings
5 years ago
If x + y = 5 and xy = 6, find the value of x^3 + y^3.
5 years ago
At what price will a businessman mark a digital camera for sale that cost P6,000 in order that 20% discount can be offered on the marked price and still makes a profit of 25% of the selling price.
5 years ago
w varies jointly with x and y and inversely with the square of z. If w = 12 when x = 3, y = 8, and z = 2, find the constant of proportionality k.
5 years ago
A boy playing under the street-light noticed that the length of shadow of his 5-foot stick erected vertically on the pavement, is 20 inches.
5 years ago
If one root of the quadratic equation with integer coefficients is $3 + 4i$, what is the constant term of the equation?
5 years ago
Find the term that is independent of x in the expansion of $\left( 2 + \dfrac{3}{x^2} \right)\left( x - \dfrac{2}{x} \right)^6$.
5 years ago
Aedan opened his Science book and noticed that the product of the two pages in front of him was equal to 1122. What were the sum of the numbers of those pages?
5 years ago
Find the product of roots of $\dfrac{x^{2002} + 4x^{2001}}{4x^{2000}} = 8$.
5 years ago
Calculate $\sqrt{2 + \sqrt{2 + \sqrt{2 + \dots}}}$
5 years ago
The distance between the centers of the three circles which are mutually tangent to each other externally are 10, 12, and 14 units. Find the area of the smallest circle.
5 years ago