# Examples for secondary school students - page 73

- A triangle

A triangle has an angle that is 63.1 other 2 are in ratio of 2:5 What are the measurements of the two angles? - Geometric progression 4

8,4√2,4,2√2 - Midpoint 4

If the midpoint of a segment is (6,3) and the other end point is (8,-4) what are thw coordinate of the other end? - Domains of functions

F(x)=x^{2}-7x and g(x)=5-x^{2}Domain of (fg)(x) is. .. . . Domain of (f/g)(x). .. - Diofant equation

250x + 120y = 5640 - Find the 2

Find the term independent of x in the expansion of (4x^{3}+1/2x)^{8} - Blocks

There are 9 interactive basic building blocks of an organization. How many two-blocks combinations are there? - Expression with powers

If x-1/x=5, find the value of x^{4}+1/x^{4} - Linear system

Solve a set of two equations of two unknowns: 1.5x+1.2y=0.6 0.8x-0.2y=2 - Employees

The company employs 1 440 employees (men and women). For over-average results, the premiums were 18.75% of all men and 22.5% of all women. 20% of employees were rewarded with premiums. How many men and how many women are employed in the company? - Inverse matrix

Find out inverse by Gauss elimination or by reduction method. A=[2/3. 1 -3. 1/3] - Odd/even number

Pick any number. If that number is even, divide it by 2. If it's odd, multiply it by 3 and add 1. Now repeat the process with your new number. If you keep going, you'll eventually end up at 1. Every time. Prove. .. - Commission 2

Mr gomez sells used cellphones. His commission for every cellphone sold is 20%. If his total sales is Php 33850, how much is his commission? Please, please, please show your solution. - Mumbai

A job placement agency in Mumbai had to send ten students to five companies two to each. Two of the companies are in Mumbai and others are outside. Two of the students prefer to work in Mumbai while three prefer to work outside. In how many ways assignment - Air thermal

Imagine that a unit of air rises at 3000 meters high, if temperature decreases 6 degrees celcius for every 1000 meter, what will be its temperature at 1400 meters, 2000 meters, 2500 meters and when it reaches the 3000 meter elevation. Starting temperature. - Mixed with percentages

Calculate 33 1/3% of 570. - Effective and mean voltage

A voltage divider consisting of resistors R1 = 103000 Ω and R2 = 197000 Ω is connected to the ideal sine wave voltage source, R2 is connected to a voltmeter which measures the mean voltage and has an internal resistance R3 = 200300 Ω, the measured value is - The crime

The crime rate of a certain city is increasing by exactly 7% each year. If there were 600 crimes in the year 1990 and the crime rate remains constant each year, determine the approximate number of crimes in the year 2025. - Shuyen

Shuyen wanted to save some money. She deposited Php.300 in a bank which pays 0.5% interest per annum. After nine months, she needed the money to buy some gifts. How much will she be able to get if he withdraws all her money from the bank? - Eq with reciprocal

Solve given equation with reciprocal member: a-6/a+10=4/8

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