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:
it has one solution
Step-by-step explanation:
1.y=x-3
2. 3y-3x sub x-3 in place of y therefore
it can also be written as 3x-3x-9=9
if you add 9 to both sides 3x-3x-9+9=-9+9
0+0=0
An acute angle can also be made inside of that type of triangle.
Answer:
52.0 m
Step-by-step explanation:
The triangle formed by the flagpole, the ground and the 30° line is a right triangle, with x as the required length to be found.
Using the tangent ratio
tan30° = 
= 
( multiply both sides by x )
x × tan30° = 30 ( divide both sides by tan30° )
x = 
≈ 52.0 m
Given:
To find:
The missing length marked with a question mark.
Solution:
Let x be the missing value.
We have,
Corresponding sides of similar triangles are proportional, so
Using this, we get
On substituting the values, we get
On cross multiplication, we get
Therefore, the missing length is 56 units.
