Answer: 245 cu. cm.
Step-by-step explanation:
4/7-2/5=20/35-14/35=6/35
42 cm3 represents 6/35 of the total volume
how many 6/35's are in 35/35 ? (the total volume)
(35/35)/(6/35)=(35/35)*(35/6)=35/6=5 5/6
(5 5/6)*(42)=(35/6)*(42)=35*7=245 cm3 is the total volume
Congruent - having the same size and shape. similar - having the same shape, but not necessarily the same size.
Pi IS an: irrational number, a real number
Pi is NOT a: whole number, natural number, rational number, integer
The answer is 6 when u are working with a negative a positive number subtracts
5/(x^2-4)+2/x=2/(x-2) if we factor the leading denominator, it is a "difference of squares" of the form (a^2-b^2) which always factors to (a-b)(a+b) so we have:
5/((x-2)(x+2))+2/x=2/(x-2), to add/subtract fractions we need a common denominator, so in this case we need a common denominator of x(x-2)(x+2) so
5(x)+2(x+2)(x-2)=2(x)(x+2), perform indicated operations...
5x+2(x^2-4)=2x(x+2)
5x+2x^2-8=2x^2+4x subtract 2x from both sides
5x-8=4x subtract 4x from both sides
x-8=0 add 8 to both sides
x=8
check...
5/(x^2-4)+2/x=2/(x-2) when x=8 so
5/(64-4)+2/8=2/(8-2)
5/60+1/4=2/6
5/60+15/60=20/60
20/60=20/60
