October 2017

Carl Malone Ursua Tolentino's picture

Differential Equation

Guys may complete solution ba kayo sa mga problems sa DE..?

Pa answer nga po tnx

The angle of elevation of the tower from A is 25°. From another point B, the angle of elevation of the top of the tower is 56°. AB=300m and on the same horizontal plane as the foot of the tower. The horizontal angle subtended by A and B at the foot of the tower is 70°.

What is the height of the tower?
How far A from the tower?
How far B from the tower?

Problem
In a common carnival game, a player tosses a penny from a distance of about 5 feet onto the surface of a table ruled in 1-inch squares. If the penny (3/4 inch in diameter) falls entirely inside a square, the player receives 5 cents but does not get his penny back; otherwise he loses his penny. If the penny lands on the table, what is his chance to win?

A.   5/16 C.   9/256
B.   1/16 D.   3/128

 

can you help me, how to draw bmd for the figure?

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can you help me, how to draw bmd for the figure?

Problem
What is the angle between zero-based vectors ${\bf V_1} = (-\sqrt{3}, ~ 1)$ and ${\bf V_2} = (2\sqrt{3}, ~ 2)$ in an x-y coordinate system?

A.   0° C.   150°
B.   180° D.   120°

 

04 - In a Mixed Company of ASEAN Nationalities

Problem
In a mixed company of Malaysians, Vietnamese, Singaporeans, Thais, and Filipinos, the Malaysians are one less than 1/3 of the Filipinos; and three less than half the Vietnamese. The Filipinos and Thais outnumber the Singaporeans and Vietnamese by 3. The Singaporeans and Filipinos form one less than half the company, and the Singaporeans and Vietnamese form 7/16 of the company. How many persons of each nationality were there?
 

06 - The Battleship Was Brought to Full Stop After 1 Hour of Voyage

Problem
A battleship started on a 500-mile voyage but was brought to full stop an hour after starting for military reasons, delaying it for full hour, after which it was ordered to proceed at a reduced velocity equivalent to 75% of its former rate. The ship arrived at its destination 3 hours and 3 quarters after scheduled time. If it was desired for the ship to arrive one hour and a quarter sooner, how far from the destination should the ship have been ordered stopped?
 

Numbers 4, 2, 5, and 18 are Added Respectively to the First Four Terms of AP, Forming Into a GP

Problem
If 4, 2, 5, and 18 are added respectively to the first four terms of an arithmetic progression, the resulting series is a geometric progression. What is the common difference of the arithmetic progression?
 

07 - A Man Covers an Unknown Distance at Different Rates

Problem
A man covers the distance A to B in 5 hours and 30 minutes. During the second half of the distance he traveled 1/2 kilometer less per hour than during the first half. In the return trip from B to A, by traveling 1 km/hr faster than during the first half of his trip from A to B, he consumed 3-3/4 hours. Determine the distance AB.
 

05 - Sum and Difference of Two Numbers Multiplied to Sum and Difference of Their Squares

Problem
Find two numbers such that their sum multiplied by the sum of their squares is 5500, and their difference multiplied by the difference of their squares is 352.
 

John Carlo Telan Panganiban's picture

Help po mga master..

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sir pasagot po yung last 2 questions...may sagot na po...solution nlng kulang ..salamat

08 - Sound of Impact be Heard Before the Report of the Gun

Problem
A bullet is fired at a target 1,342 m away. At what point along its path would the sound of the impact of the bullet be heard 1/4 second before the report of the gun, assuming that sound travels at the rate of 335 m/sec and the bullet is 503 m/sec.