Answer:
Z = 258Ω
Step-by-step explanation:
There are two methods of solving this question,
First method
Z = ( RXL)/ sqr rt ( R²+XL²)
Z= (330 Ω × 420 Ω)/ sqr rt ( 330 Ω² + 420 Ω²)
Z = 138600 Ω /534
Z = 259 Ω
THE second complete method is given in attachment below
The triangle lengths would be 14√2, 7√2 and 7√6.
The sides of a 45-45-90 triangle can be listed as t, t and t√2. The legs are each 14, so the hypotenuse will be 14√2.
This will also be the longest side of the 30-60-90 triangle. Its sides can be listed as t, 2t and t√3. Since the hypotenuse is the longest side, we have:
2t=14√2
Dividing both sides by 2, we have:
2t/2 = 14√2/2
t = 7√2
The remaining side will be t√3:
t = 7√2
t√3 = 7√2(√3) = 7√6
Answer:
50
Step-by-step explanation:
90-40 = 50