Answer:
Your number is (3 sqrt(2)) / sqrt(2) = 3, and is a rational number indeed. I don't know exactly how to interpret the rest of the question. If r is a positive rational number and p is some positive real number, then sqrt(r^2 p) / sqrt(p) is always rational, being equal r. Possibly your question refers to situtions in which sqrt(c) is not uniquely determined, as for c negative real number or complex non-real number. In those situations a discussion is necessary. Also, in general expressions the discussion is necesary, because the denominator must be different from 0, and so on.
Step-by-step explanation:
Answer:
XZ = 26.7
ZY = 11.7
Area = 140.4 sq inches
Step-by-step explanation:
m∠Z = 180-(26+90) = 64°
to get XZ you can use the law of sines:
sin 90°/XZ = sin 64°/24
1/XZ = sin(64°)
cross-multiply to get:
XZ·sin(64°) = 24
XZ = 24/sin(64°)
XZ = 26.7
to get ZY you can use the law of sines again:
sin 64°/24 = sin 26°/ZY
cross-multiply to get:
ZY·sin(64°) = 24·sin(26°)
ZY = 24·sin(26°) ÷ sin(64°)
ZY = 11.7
Area = 1/2(11.7)(24)
= 12(11.7)
= 140.4 sq inches
Answer:
1/4x (8 x - 15)
Step-by-step explanation:
write the division as a fraction
1/2x + 3/2x (x - 5 ÷ 2)
factor out 1/2 from the expression.
1/2x(x + 3(x - 5 ÷ 2))
divide the numbers.
1/2x(x + 3(x - 2.5))
distribute 3 through the parentheses.
1/2x(x + 3x - 7.5)
collect like terms.
1/2x(4x - 7.5)
1/2x(4x - 15/2)
factor out 1/2 from the expression.
1/2 x 1/2 x (8 x - 15)
multiply the fractions
= 1/4 x (8x - 15)
or alternative form
= 0.25(8x - 15)
