Answer:
x=6
Step-by-step explanation:
The electrical resistance of a wire varies as its length and inversely as the square of the diameter.
R = (k*L)/(d^2)
where k = proportionality constant
Since the two wires have the same material, their proportionality constant is same.
Equating that
(R1*d1^2)/L1 = (R2*d2^2)/L2
Given that R1 = 10 ohms, d1 = 1.2 mm or 0.0012 m, L1 = 18 m, d2 = 1.5 mm or 0.0015 m, L2 = 27 m, and R2 is unknown.
Therefore
[10*(0.0012^2)]/18 = [R2*(0.0015^2)]/27
R2 = 9.6 ohms
Answer:
45/28
Step-by-step explanation:
Convert them to mixed fractions
(2 * 4 + 1) / 4 ÷ (1 * 5 + 2) / 5
8 + 1 / 4 ÷ 5 + 2 / 5
9/4 ÷ 7/5
Flip the second fraction and flip the sign - to multiply.
9/4 × 5/7
9 × 5 = 45
4 × 7 = 28
45/28
This could be left as a fraction or converted to a number:
1.60714285714
A perpendicular slope is a slope that is the negative reciprocal of the current slope. Therefore, 3.
