2022-11-14 01:30
Problem
A circle of radius 1 inch is inscribed in an equilateral triangle. A smaller circle is inscribed at each vertex, tangent to the circle and two sides of the triangle. The process is… Read More
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Mathalino.com is a compilation of solutions to Engineering math problems.
2022-01-14 09:27
MATHalino's philosophy, I may say, is that our contents must be accessible to all. Whether you are logged in or not, you can still access all our contents without any constraint. We already… Read More
2022-01-12 03:30
1
Start
2
Complete… Read More
2022-01-12 03:30
1
Start
2
Complete… Read More
2021-11-07 07:05
The product of the first $n$ terms of a Geometric Progression is given by the following:
Given the first term $a_1$ and last term $a_n$:
$P_n = \sqrt{(a_1 \times a_n)^n}$
Given the f… Read More
2021-09-15 09:42
Here are some tips and tricks in factoring the trinomial $ax^{2}+bx+c$ mentally. Once you master the techniques in this blog, you can simplify expressions and solve equations that require fa… Read More
2021-08-25 08:16
Problem
Evaluate $\displaystyle \int \dfrac{(6z - 1) \, dz}{\sqrt{(2z + 1)^3}}$
Read More
2021-08-25 08:16
Problem
Evaluate $\displaystyle \int \dfrac{(6z - 1) \, dz}{\sqrt{(2z + 1)^3}}$
Read More
2021-08-25 07:43
Problem
Evaluate $\displaystyle \int \dfrac{y \, dy}{\sqrt[4]{1 + 2y}}$
Answer Key Read More
2021-08-25 04:04
Problem
Evaluate $\displaystyle \int \dfrac{x^3 \, dx}{(x^2 + 1)^3}$
Read More
2021-08-25 03:23
Problem
Evaluate $\displaystyle \int y^3\sqrt{2y^2 + 1} \,\, dy$
Read More
2021-08-20 07:07
Problem
If the first derivative of the equation of a curve is a constant, the curve is:
A. circle
C. hyperbola
B. straight line
D. parabola Read More
2021-08-19 15:46
Number of questions in the pool as of August 2021 = 30
Read More
2021-08-19 15:34
Problem
A triangular shaped channel is to be designed to carry 700 L/s on a slope of 0.0001. Determine what vertex angle and depth of water over the vertex will be necessary to give a secti… Read More
2021-08-19 14:45
Problem
A vertical circular gate in a tunnel 8 m in diameter has oil (sp. gr. 0.80) on one side and air on the other side as shown in Figure HD-73. If oil is 12 m above the invert and the ai… Read More
2021-08-18 09:35
Problem
A vertical rectangular plate is submerged half in oil (s = 0.8) and half in water such that its top edge is flushed with the oil surface. What is the ratio of the force exerted by w… Read More
2021-08-15 15:01
Problem
Assuming specific weight of air to be constant at 12 N/m3, what is the approximate height of Mt. Banahaw if a mercury barometer at the base of the mountain reads 654 mm and at the sa… Read More
2021-08-15 14:54
Problem
What is the equivalent pressure head in cm of water to a pressure of 150 kPa?
A. 1340
C. 1630
B. 1140
D. 1530 Read More
2021-08-15 14:48
Problem
A circular concrete sewer pipe with coefficient of roughness n = 0.013 is 1.60 m in diameter and flowing half-full has a slope of 4 m per 5 km. Compute the discharge on the sewer pi… Read More
2021-08-15 14:40
Problem
A 1.25 cm diameter orifice, in a vertical wall of a tank under a constant head of 5.5 m discharged 0.45 cubic meter in 9.5 minutes. Find the coefficient of discharge.
A. 0.62… Read More
2021-08-14 17:19
Problem
A barometer reads 760 mm Hg and a pressure gage attached to a tank of oil (s = 0.8) reads 850 cm. What is the absolute pressure in the tank in kilogram per square centimeter?
A. &n&hell…Read More
2021-08-12 15:38
Problem
Determine the absolute pressure at 250 cm below the free surface of oil (specific gravity = 0.80) if the atmospheric pressure is 101 kPa.
A. 136.25 kPa
C. 120.62 kPa
B… Read More
2021-08-10 13:26
Table TMBR-4: Allowable loads, in kiloNewton, on one bolt in seasoned wood loaded at both ends (double shear) normal duration
Length of Bolt in Main Member(mm)
Bolt Diameter(mm)
Species Grou… Read More
2021-08-10 11:01
Table TMBR-3: Properties of Philippine Woods at 80% Grade
Species
Bending and Tension Parallel to Grain
Modulus of Elasticity in Bending
Compression Parallel to Grain
Compression Perpendicul… Read More
2021-08-10 09:57
Table TMBR-2: Properties of Philippine Woods at 50% Grade
Species
Bending and Tension Parallel to Grain
Modulus of Elasticity in Bending
Compression Parallel to Grain
Compression Perpendicul… Read More
2021-08-10 09:25
Table TMBR-1: Group Species of Philippine Woods
I. High Strength Group
II. Moderately High Strength Group
III. Medium Strength Group
IV. Moderately Low Strength Group Read More
2021-08-09 18:14
The technical content of this page is for educational purposes only and not intended for professional work.
Read More
2021-07-29 05:05
Problem
Solve for x from the following equations:
$xy = 12$
$yz = 20$
$zx = 15$
A. 2
C. 4
B. 3
D. 5 Read More
2021-07-29 04:35
Problem
A germ population has a growth curve $Ae^{0.4t}$. At what value of $t$ does its original value doubled?
A. t = 7.13
C. t = 1.73
B. t = 1.37
D. t = 3.71… Read More
2021-07-29 03:47
Problem
The sum and product of three distinct positive integers are 15 and 45, respectively. What is the smallest integer?
A. 1
C. 5
B. 9
D. 3 Read More
2021-07-29 02:29
Problem
A contractor can buy a dump trucks for P800,000 each (surplus) or rent them for P1,189 per truck per day. The truck has salvage value of P100,000 at the end of its useful life of 5… Read More
2021-07-29 01:41
Problem
Mar wants to make a box with no lid from a rectangular sheet of cardboard that is 18 inches by 24 inches. The box is to be made by cutting a square of side x from each corner of the… Read More
2021-07-08 06:25
Situation
An investment of P250,000 is made at the end of each year with interest of 2.5% compounded annually.
Determine the equal-payment-series compound-amount factor after 10 years.
A. &n&hell…Read More
2021-07-08 04:47
Problem
A train is moving at the rate of 8 mi/h along a piece of circular track of radius 2500 ft. Through what angle does it turn in 1 min?
A. 15.18°
C. 13.18°
B. &nb&hell…Read More
2021-07-01 08:08
Problem
Find the Cartesian equation of the curve represented by $x = 4t + 3$ and $y = 16t^2 - 9$, -∞ t
A. $y = x^2 + 6x$
C. $y = x^2 + 4x$
B. $y = x^2 - 6x$
D. … Read More
2021-07-01 08:07
Problem
Find the equation of a sphere of radius 3 and tangent to all three coordinate planes if the center is on the first octant.
A. $x^2 + y^2 + z^2 - 9 = 0$
B. $x^2 + y^2 +… Read More
2021-07-01 01:59
Situation
Given:
Beam Section, b × h = 300 mm × 450 mm
Effective Depth, d = 380 mm
Compressive Strength, fc' = 30 MPa
Steel Strength, fy = 415 MPa
The beam is simply supported on… Read More
2021-06-30 11:21
Situation
The total length of the beam shown below is 10 m and the uniform load $w_o$ is equal to 15 kN/m.
1. What is the moment at midspan if x = 2 m?
A. 37.5 kN&mid&hell…Read More
2021-06-21 08:12
Concepts and terminology questions are almost all the time part of math and engineering exams. This quiz aims to enhance your strength in these areas.
You will be presented with 10 questions… Read More
2021-06-21 08:12
Learn or test your concepts and terminology knowledge with this quiz.
Version: 0.3Number of questions in the bank: 36 (as of June 21, 2021) Read More
2021-06-18 04:01
In this blog, I will discuss the technique will easily allow us to write the equations of lines directly to its general form, without going through the classical methods. All we need is its… Read More
2021-03-12 18:03
Please login or register to take this course.MSTE - Mathematics Surveying and Transportation EngineeringReview Instructor: Jhun VertLanguage: Taglish, more on Tagalog
Get yourself acq… Read More
2021-02-27 03:28
No, this is not an announcement or promotional post. This is about my experience on building this online courses.
Creating an online course is monumental specially to small websites like M… Read More
2021-02-24 07:42
₱0.00Please login or register to take this course.Review Instructor: Jhun VertLanguage: Taglish (More on Tagalog)Duration: 90 daysCost: Free
Read More
2021-02-24 07:42
₱0.00Please login or register to take this course.Review Instructor: Jhun VertLanguage: Taglish (More on Tagalog)Duration: 90 daysCost: Free
Read More
2021-02-23 14:56
Situation
The solid pole shown in the figure is loaded with a vertical load P = 25 kN and lateral load H = 0.95 kN. The pole is 3 m high, 300 mm diameter and weighs 22 kN/m3.
Read More
2021-02-23 12:39
Problem
The area of a park on a map is 600 mm2. If the scale of the map is 1 to 40,000 determine the true area of the park in hectares (1 hectare = 104 m2).
A. 112
C. 96
B. &n&hell…Read More
2021-01-25 09:22
Situation
The three-hinged arch shown below is loaded with symmetrically placed concentrated loads as shown in the figure below.
The loads are as follows:
$$P_1 = 90 ~ \text{kN} \qq… Read More
2021-01-24 10:54
Problem
Evaluate $\displaystyle \int_0^1 \dfrac{x \, dx}{x^2 + 2}$.
A. 0.2027
C. 0.2270
B. 0.2207
D. 0.2072 Read More
2021-01-24 06:03
Problem
Determine the radius of curvature of the curve $x = y^3$ at point (1, 1).
A. 5.27
C. 5.56
B. 5.65
D. 5.72 Read More
2021-01-24 05:16
Problem
Calculate the area enclosed by the curve $x^2 + y^2 - 10x + 4y - 196 = 0$.
A. 15π
C. 169π
B. 13π
D. 225π Read More
2021-01-24 04:54
Problem
The first three terms of a geometric progression are 2x, 4x + 14 and 20x - 14. Find the sum of the first ten terms.
A. 413,633
C. 489,335
B. 498,533
D. … Read More
2021-01-22 03:34
Problem
A 50-m steel tape that is is 0.02 m too long was used to measure the distance between two points A and B. The measured distance was 160.42 m. What is the correct distance between A… Read More
2021-01-18 15:45
Problem
A circle has an equation of $x^2 + y^2 + 2cy = 0$. Find the value of $c$ when the length of the tangent from (5, 4) to the circle is equal to one.
A. 5
C. 3
B. … Read More
2021-01-17 06:05
Problem
Calculate the acute angle between two intersecting surfaces whose equations are as follows:
$$2x - 4y - z = -5$$
$$3x + 4y + 5z = -6$$
A. 62.4°
C. 42.6°
B. &nb&hell…Read More
2021-01-17 04:48
Problem
If $\arcsin (3x - 4y) = 1.571$ and $\arccos (x - y) = 1.047$, what is the value of $x$?
A. 0.5
C. 1.5
B. 1.0
D. 2.0
Answer Key Read More
2021-01-14 11:04
an (engineer/architect)
67% (2 votes)
a non-(engineer/architect) professional
0% (0 votes)
preparing for licensure exam
33% (1 vote)
(engineering/architectu… Read More
2021-01-12 16:12
Problem
The digits of a three-digit number are in arithmetic progression. If you divide the number by the sum of its digits, the quotient is 26. If the digits are reversed, the resulting n… Read More
2021-01-12 15:09
Problem
There are 7 arithmetic means between 3 and 35. What is the sum of all the terms?
A. 133
C. 665
B. 608
D. 171 Read More
2021-01-12 13:22
Problem
A boat going upstream takes 1.5 times longer than going the same distance downstream. If the water current in the river is 8 kph, calculate the speed of the boat in still water.
A… Read More
2021-01-12 02:40
Problem
What is the equation of the normal to the curve $x^2 + y^2 = 25$ at (4, 3)?
A. $4x + 3y = 0$
C. $3x + 4y = 0$
B. $3x - 4y = 0$
D. $4x - 3y = 0$ Read More
2021-01-11 14:39
Problem
What is the radius of the circle $x^2 + y^2 - 6x = 0$?
A. 6
C. 4
B. 9
D. 3 Read More
2021-01-10 08:51
Problem
When the polynomial $x^4 + bx^3 + 5x^2 + dx + 6$ is divided by $x - 2$ the remainder is 16. When it is divided by $x + 1$ the remainder is 10. Find the value of constant $d$.
A. … Read More
2021-01-10 04:50
Problem
Gas is escaping from a spherical balloon at a constant rate of 2 ft3/min. How fast, in ft2/min, is the outer surface area of the balloon shrinking when the radius is 12 ft?
A. &nbs&hell…Read More
2021-01-03 11:41
Problem
Determine the percentage uncertainty in the area of a square that is 6.08 ± 0.01 m on a side.
A. 0.27%
C. 0.26%
B. 0.25%
D. 0.29% Read More
2021-01-03 10:13
Problem
In still water, your small boat average 8 miles per hour. It takes you the same amount of time to travel 15 miles downstream, with the current, as 9 miles upstream, against the curre… Read More
2021-01-03 04:53
Problem
\$180,000 was spent on the project that yields annual benefit of \$60,000 for a period of 8 years without any salvage value. Determine the benefit-to-cost ratio considering the cost… Read More
2021-01-03 03:39
Problem
Which of the following pizzas is a better buy: a large pizza with 16-inch diameter for \$15 or a medium pizza with an 8-inch diameter for \$7.50? What is the cost per square inch of… Read More
2021-01-02 15:27
Problem
Given the following equations:
$$ab = 1/8 \qquad ac = 3 \qquad bc = 6$$
Find the value of $a + b + c$.
A. $12$
C. $\dfrac{4}{51}$
B. $\dfrac{7}{16}$
D. $… Read More
2021-01-01 05:09
Problem
Which of the following is the derivative with respect to x of $(x + 1)^3 - x^3$?
A. 6x + 3
C. 1 + 2x - 3x2
B. 3x2 + 2x + 1
D. 6x - 3 Read More
2020-12-30 17:19
Problem
How many terms from the progression 3, 5, 7, 9, ... must be taken in order that their sum will be 2600?
A. 80
C. 50
B. 60
D. 70
Answer Key Read More
2020-12-30 17:19
Problem
How many terms from the progression 3, 5, 7, 9, ... must be taken in order that their sum will be 2600?
A. 80
C. 50
B. 60
D. 70
Answer Key Read More
2020-12-29 12:20
Problem
A disease is known to affect 1 in 10,000 people. It can be fatal, but it is treatable if it is detected early. A screening test for the disease shows a positive result for 99% of th… Read More
2020-12-29 07:30
Problem
Assume that a single depth charge has a probability of 1/2 of sinking a submarine, 1/4 of damage and 1/4 of missing. Assume also that two damaging explosions sink the sub. What is t… Read More
2020-12-28 16:58
Problem
Find the equation of the curve passing through the point (3, 2) and having s slope 5x2 - x + 1 at every point (x, y).
A. $y = \frac{5}{3}x^3 - \frac{1}{2}x^2 + x - \frac{31}{… Read More
2020-12-28 15:27
Problem
A coin is so unbalanced that you are likely to get two heads in two successive throws as you are to get tails in one. What is the probability of getting heads in a single throw?
A… Read More
2020-12-28 13:37
When you toss a coin, the outcome can either be head or tail. If the coin is so balanced that these two outcomes are equally likely to occur, then the probability that the outcome is head i… Read More
2020-12-28 02:48
Philippines' CE Board Subjects
Mathematics, Surveying and Transportation Engineering
Hydraulics and Geotechnical Engineering
Structural Engineering and Construction Read More
2020-12-15 07:49
Problem
The median of a right triangle drawn to the hypotenuse is 3 cm long and makes an angle of 60° with it. Find the area of the triangle.
A. 7.97 cm2
C. 8.79 cm2
B. … Read More
2020-12-15 04:47
Problem
By the conditions of a will, the sum of P2.5M is left to a girl to be held in a trust fund by her guardian until it amounts to P4.5M. When will the girl receive the money if the fun… Read More
2020-12-13 05:41
Problem
For triangle BOA, B is on the y-axis, O is the origin, and A is on the x-axis. Point C(5, 2) is on the line AB. Find the length of AB if the area of the triangle is 36 unit2.
A. … Read More
2020-12-13 05:11
Definition
Straight line is the locus or path of a point that moves without changing its direction.
General Equation
The general equation of the straight line is given by
$ax + by + c… Read More
2020-11-09 05:29
Problem
Determine the volume of a regular tetrahedron of edge 2 ft.
A. 1.54 ft3
C. 1.34 ft3
B. 1.01 ft3
D. 0.943 ft3 Read More
2020-10-29 14:45
Problem
A semi-elliptical arch in a stone bridge has a span of 6 meters and a central height of 2 meters. Find the height of the arch at a distance of 1.5 m from the center of the arch.
&nb&hell…Read More
2020-09-28 00:14
Curvature (symbol, $\kappa$) is the mathematical expression of how much a curve actually curved. It is the measure of the average change in direction of the curve per unit of arc. Imagine… Read More
2020-07-08 10:39
Date of exam
May 2015
Subject
Structural Engineering and Construction
Situation
The truss shown in is made from timber Guijo 100 mm × 150 mm… Read More
2020-07-08 04:35
Date of exam
November 2016
Subject
Mathematics, Surveying and Transportation Engineering
Problem
A job posted at jobstreet.com offered a starting s… Read More
2020-07-07 05:28
Date of exam
May 2016
Subject
Mathematics, Surveying and Transportation Engineering
Problem
A point moves in the plane according to equations x = t… Read More
2020-07-06 07:01
Date of exam
May 2016
Subject
Mathematics, Surveying and Transportation Engineering
Problem
Find the distance from the point A(1, 5, -3) to the pla… Read More
2020-04-29 10:48
Calculator Technique for Solving Volume Flow Rate Problems in Calculus
Jhun Vert
Wed, 04/29/2020 - 06:48 pm Read More
2020-04-29 09:41
Calculator Technique for Clock Problems in Algebra
Jhun Vert
Wed, 04/29/2020 - 05:41 pm Read More
2020-04-29 08:03
Calculator Techniques for Solving Progression Problems
Jhun Vert
Wed, 04/29/2020 - 04:03 pm Read More
2020-04-15 19:54
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2020-04-13 23:39
₱299.00One time payment for lifetime VIP membership.
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Exclusive contents
Self evaluation exams
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and many… Read More
2020-04-12 07:05
This is a container of Book pages for Algebra Review 1 Read More
2020-04-12 02:53
This quiz is one of the activities of Algebra Review 1. You may take the whole course if you wish to Read More
2020-04-11 17:14
Put under this book all book pages in courses Read More
2020-04-11 16:52
Exponents
$x^n = x \cdot x \cdot x ... \, (n \text{ factors})$
$x^m \cdot x^n = x^{m + n}$
$(x^m)^n = x^{mn}$
$(xyz)^n = x^n \, y^n \, z^n$
$\dfrac{x^m}{x^n} = x^{m - n}$
$\left( \dfrac{x}{y… Read More
2020-04-10 23:55
₱0.00SKU: AlgRevF-001Please login or register to take this course.List price: ₱0.00Price: ₱0.00 Read More
2020-03-06 12:33
Problem 921
Calculate the sketch the kern of a W360 × 122 section.
Read More
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