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Formulas. Formulas. Formulas appear in almost any profession. A formula is an expression where the variables and result have a specific meaning. In the formula P=2w+2l the w and l are measurements and the result, P, is the perimeter of a rectangle. Steps:.
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Formulas • Formulas appear in almost any profession. • A formula is an expression where the variables and result have a specific meaning. • In the formula P=2w+2l the w and l are measurements and the result, P, is the perimeter of a rectangle.
Steps: • Copy the pattern the formula makes. • Insert the known numbers for the variables. • Simplify.
Formulas • You don’t need to memorize these formulas. • In fact you may not even need to understand what the formula means. • You do need to be able to put the values in the proper place and simplify.
Formula A=lw • Where w is width and l is length • Example: A=(7)(3) • =21 in2.
A= ½ h(b1+b2) • where h is the perpendicular height between the bases and b1 and b2 are the bases. • A= ½ (4)(4+10)=28 in2.
V=4/3πr3 • where r is radius and π is pi. • Example: • radius 3 mi • V=4/3π(3)3=36 π • =113.9mi3.
SA= πr2+πrs • where r is radius, π is pi, and s is the length of the slant of the cone. • Example: • SA= π(5)2+π(5)(13) • = 90π • 282.74
I=Prt • where I is interest, P is the principal, r is the annual rate, and t is the time in years. • A car is sold for $15000 with simple interest at 12% for a period of 5 years. How much interest is paid? How much total is paid back? What is the monthly payment? • I=Prt=(15000)(.12)(5)=$9000 (Write 12% as a decimal.) • Total = 15000+9000=$24000 (Add the principle to the interest.) • Monthly Pmt. = 240000/12=$400 • (Divide the total by the number of months.)
Celsius to Fahrenheit • What is 80C in Fahrenheit?
Fahrenheit to Celsius • What is 80F in Celsius?
Mean or average • Where n is the number of numbers to be averaged and x1, x2, x3 and so on are the numbers to be averaged. • Janet got a 458, 500, 482, 440, and 500 on her GED tests. What was her average score? A=476
Distance • where d is the distance between two points (x1. y1) and (x2, y2). • Find the distance between (-2, -3) and (8,3).
Quadratic Formula • The solution for an equation • 0=ax2 + bx + c the solution is • I know big and hairy.
What are the solutions for: • 0=2x2-9x+10 a =2, b=-9 and c=10