Answer:
4 ohms
Step-by-step explanation:
The question is "In two minutes a current of 5 amps develops 1,200 heat units in a wire of 8 ohms resistance. What resistance does a similar wire have, which develops 6,000 heat units with a current of 10 amps in 5 minutes?"
Current, I₁ = 5 A
Heat, Q₁ = 1200 units
Resistance, R₁ = 8 ohms
Time, t₁ = 2 min = 120 s
New heat, Q₂ = 6000 units
Current, I₂ = 10 A
New time, t₂ = 5 min = 300 s
We need to find the new resistance.
Heat developed is given by :


So, the new resistance is 4 ohms.
Answer: 40:27
Step-by-step explanation: 80:54 / 2:2 = 40:27
Answer:

Step-by-step explanation:
The difference of two squares identity is

When we let

and

, we get:

This will simplify to give us the required factors

Answer:
a = 8/3
Step-by-step explanation:
3a - 1 would equal 7
3a = 7 + 1
3a = 8
a = 8/3
The TV is 45 inches tall.
Step-by-step explanation:
The diagonal length of television = 53 inches
Width of TV = 28 inches
As TV is in rectangular or square shape, a diagonal will form a right triangle
Where,
Diagonal = hypotenuse = c = 53 inches
Width = base = b = 28 inches
Length = perpendicular = a
we will use pythagorean theorem to find the length.

Taking square root on both sides

The TV is 45 inches tall.
Keywords: triangle, square root
Learn more about square root at:
#LearnwithBrainly