If three angles of a triangle are in the ratio 2:3:4 find the measure of each angle.
the three angles are in the ratio 2:3:4, let the common multiple be x the measure of the three angles will be 2x, 3x, 4x By angle sum property, we know that the sum of all the three angles of a triangle is equal to 180 degrees therefore, 2x+3x+4x=180 9x=180 x=20 therefore 2x = 2*20 = 40 3x = 3*20 = 60 4x = 4*20 = 80 thus the measure of the three angles is 40 degrees, 60 degrees, 80 degrees.
The ratio of expenditure to income of John is 3:5. find the percentage of his expenses to his income. what would the percent that he would save?
The ratio of expenditure to income is 3:5. to convert it into percent we will need to convert the second term in 100. 3/5 = 3*20/5*20 = 60/100 = 60% John spends 60% of his income. thus he would save 40%
Resistors having a resistance of 15 ohms, 20 ohms and 10 ohms are connected in parallel. what is the effective resistance in the circuit?
Let R1 = 15ohms, R2=20Ohms, R3 = 10 0hms and Rp be the effective resistance, Then by formula 1/Rp=(1/R1)+(1/R2)+(1/r3) 1/Rp = (1/15)+(1/20)+(1/10) =(4+3+6)/60 =13/60 thus Rp = 60/13 = 4.615 ohms (Aprox)