The heat released or absorbed by a substance is calculated through the equation,
H = mcpdT
where H is teh heat,
m is the mass,
Cp is the specific heat, and
dT is the temperature difference
In this item, since both nails are identical, m and cp for both nails are equal such that the equation can be expressed as,
mcp(95 - x) = mcp(x - 15)
where x is the final temperature. Solving for the value of x from the equation derived above will give us a final answer of 55 degrees C.
Answer: 55°
Answer:
0.0707 cm
Step-by-step explanation:
We can solve this using pythgaoras theorem:
a² + a² = c² (We can use the same letter, a, because the lengths are the same length; a² + a² = 2a²)
2a² = 0.1² (simplify the right side; 0.1 × 0.1 = 0.01)
2a² = 0.01 (0.01 ÷ 2 = 0.005)
a² = 0.005 (square root both sides)
a = 0.070710... ≈ 0.0707 cm
Hope this helps!
Answer:
Case I, Case II
Step-by-step explanation:
For cases III and IV, you need the Law of Cosines.
The Law of Sines can be used when you have at least one side and the angle opposite. If you know two angles of a triangle, you know all three, so the given angles don't necessarily have to be opposite the given side if two angles are known.
The Laws of Sines can be applied to solve Case I and Case II.
Answer:
Step-by-step explanation:
- Number of hours worked = x
- Total earning = y
- Earning per hour = $10
<u>The proportional relationship formula for this situation is:</u>
We just substituted k with 10 to represent hourly earning.
