1.57×1.44×h=1.073, find h...??
Answers
I want answer please answer ivvandhi
1 result found
h= 11304 /5365
=0.475
Step by Step Solution:
Reformatting the input :
(1): "1.073" was replaced by "(1073/1000)". 3 more similar replacement(s)
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
(157/100)*(144/100)*h-((1073/1000))=0
Step by step solution :
STEP
1
:
1073
Simplify ————
1000
Equation at the end of step
1
:
157 144 1073
((——— • ———) • h) - ———— = 0
100 100 1000
STEP
2
:
36
Simplify ——
25
Equation at the end of step
2
:
157 36 1073
((——— • ——) • h) - ———— = 0
100 25 1000
STEP
3
:
157
Simplify ———
100
Equation at the end of step
3
:
157 36 1073
((——— • ——) • h) - ———— = 0
100 25 1000
STEP
4
:
Calculating the Least Common Multiple
4.1 Find the Least Common Multiple
The left denominator is : 625
The right denominator is : 1000
Number of times each prime factor
appears in the factorization of:
Prime
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left,Right}
5 4 3 4
2 0 3 3
Product of all
Prime Factors 625 1000 5000
Least Common Multiple:
5000
Calculating Multipliers :
4.2 Calculate multipliers for the two fractions
Denote the Least Common Multiple by L.C.M
Denote the Left Multiplier by Left_M
Denote the Right Multiplier by Right_M
Denote the Left Deniminator by L_Deno
Denote the Right Multiplier by R_Deno
Left_M = L.C.M / L_Deno = 8
Right_M = L.C.M / R_Deno = 5
Making Equivalent Fractions :
4.3 Rewrite the two fractions into equivalent fractions
Two fractions are called equivalent if they have the same numeric value.
For example : 1/2 and 2/4 are equivalent, y/(y+1)2 and (y2+y)/(y+1)3 are equivalent as well.
To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.
L. Mult. • L. Num. 1413h • 8
—————————————————— = —————————
L.C.M 5000
R. Mult. • R. Num. 1073 • 5
—————————————————— = ————————
L.C.M 5000
Adding fractions that have a common denominator :
4.4 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
1413h • 8 - (1073 • 5) 11304h - 5365
—————————————————————— = —————————————
5000 5000
Equation at the end of step
4
:
11304h - 5365
————————————— = 0
5000
STEP
5
:
When a fraction equals zero
5.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
11304h-5365
——————————— • 5000 = 0 • 5000
5000
Now, on the left hand side, the 5000 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
11304h-5365 = 0
Solving a Single Variable Equation:
5.2 Solve : 11304h-5365 = 0
Add 5365 to both sides of the equation :
11304h = 5365
Divide both sides of the equation by 11304:
h = 5365/11304 = 0.475
One solution was found :
h = 5365/11304 = 0.475