<span>461.81 cm^3 .................................</span>
Answer:
Step-by-step explanation:
According to the diagram we observe:
- ∠ACD is the exterior angle of triangle ABC.
As we know the exterior angle is same as the some of the remote interior angles.
It can be shown as:
Substitute the values and solve for x:
- 5x - 18 = 3x - 2 + x + 14
- 5x - 18 = 4x + 12
- 5x - 4x = 12 + 18
- x = 30
Find the measure of m∠ABC:
The matching <u>answer</u> choice is D.
Answer:
a)z1 +z2 =z2 + z1 ...proved.
b) z1 + ( z2+ z3 )=(z1+z2)+z3 ... proved.
Step-by-step explanation:
It is given that there are three vectors z1 = a1 + ib1, z2 = a2 + ib2 and z3 = a3 + ib3. Now, we have to prove (a) z1 + z2 = z2 + z1 and (b) z1 + (z2 +z3) = (z1 + z2) + z3.
(a) z1 + z2 = (a1 +ib1) + (a2+ ib2) = (a1 +a2) + i(b1 +b2) {Adding the real and imaginary parts separately}
Again, z2 + z1 =(a2 +ib2) + (a1 +ib1) = (a2 +a1) + i(b2 +b1) {Adding the real and imaginary parts separately}
Hence, z1 +z2 =z2 + z1 {Since, (a1 +a2) = (a2 +a1) and (b1 +b2) = (b2 +b1)}
(b) z1 + ( z2+ z3 ) = [a1 + ib1] + [(a2 + a3 ) + i(b2 + b3 )] = ( a1 + a2 + a3) + i( b1+ b2+b3) {Adding the real and imaginary parts separately}
Again, (z1+z2)+z3 = [(a1+a2) +i(b1+b2)]+[a3+ib3] = ( a1 + a2 + a3) + i( b1+ b2+b3) {Adding the real and imaginary parts separately}
Hence, z1 + ( z2+ z3 )=(z1+z2)+z3 proved.
Sqrt(x^16) is x^8.
As you can see, x^8 * x^8 = x*x*x*x*x*x*x*x * x*x*x*x*x*x*x*x which equals x^16
I don't know why Cortesalondra28 deleted my answer to the question and sayid it was wrong..
