The profit is 10,000 dollars if the profit she sells is 60 kilograms
X= shorter leg
x+6= longer leg
(x+6)+6= hypotenuse
Use the Pythagorean theorem to find the length of each side.
a= one leg
b= other leg
c= hypotenuse.
SHORTER LEG:
a^2 + b^2= c^2
substitute each length above
x^2 + (x+6)^2= [(x+6)+6]^2
square each set of parentheses; add inside right side parentheses before squaring
x^2 + (x+6)(x+6)= (x+12)(x+12)
squaring is multiplying each parentheses by itself one time; use the FOIL method: multiply first, multiply outside, multiply inside, multiply last
x^2 + x^2 + 6x + 6x + 36= x^2 + 12x + 12x + 144
combine like terms
2x^2 + 12x + 36= x^2 + 24x + 144
subtract x^2 from both sides
x^2 + 12x + 36= 24x + 144
subtract 24x from both sides
x^2 - 12x + 36= 144
subtract 144 from both sides
x^2 - 12x - 108= 0
factor
(x + 6)(x - 18)= 0
set each parentheses equal to 0
x + 6= 0
x= -6
x - 18= 0
x= 18 cm shorter leg
***Since a side cannot be a negative number, x= 18. Substitute x=18 to find the other sides.
LONGER LEG:
= x+6
= 18 + 6
= 24 cm longer leg
HYPOTENUSE:
= (x+6)+6
= 18 + 6 + 6
= 30 cm hypotenuse
CHECK:
18^2 + 24^2= 30^2
324 + 576= 900
900= 900
ANSWER:
x= 18 cm shorter leg
x+6= 24 cm longer leg
(x+6)+6= 30 cm hypotenuse
Hope this helps! :)
Percent means parts out of 100 so x%=x/100
convert to improper fraction for in x/y form so
2 and 3/8
2=16/8
2 and 3/8=16/8+3/8=19/8
convert bottom number to 100
one way is multiply whole thing by 100/100
19/8 times 100/100=1900/800
divide by 8
237.5/100=237.5%
that is precent
another way is divide completely
19/8=2.375
that is over 1 so convert to over 100 so
2.375/1 times 100/100=237.5/100=237.5%
answe ris 237.5%
Answer:
1/2
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Step-by-step explanation:
<u>Step 1: Define</u>
1/2t + 3/8
t = 1/4
<u>Step 2: Evaluate</u>
- Substitute: 1/2(1/4) + 3/8
- Multiply: 1/8 + 3/8
- Add: 4/8
- Simplify: 1/2
Answer:
Check the picture!
Step-by-step explanation:
