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Answer:
The required specific heat is 196.94 joule per kg per °C
Step-by-step explanation:
Given as :
The heat generated = Q = 85.87 J
Mass of substance (m)= 34.8 gram = 0.0348 kg
Change in temperature = T2 - T1 = 34.29°C - 21.76°C = 12.53°C
Let the specific heat = S
Now we know that
Heat = Mass × specific heat × change in temperature
Or, Q = msΔt
Or, 85.87 = (0.0348 kg ) × S × 12.53°C
Or , 85.87 = 0.4360 × S
Or, S = 
∴ S = 196.94 joule per kg per °C
Hence the required specific heat is 196.94 joule per kg per °C Answer
Answer:
Given,
A=90
b=15
A=12bh
Now,
Step-by-step explanation:
Put the given value in the formula
A=12bh
90=12*15*h
90=180h
90/180=h
Hence, h=0.5
Answer:
27.5 mm
Step-by-step explanation:
The game piece has the shape of two identical square pyramids attached at their bases. Given that the perimeters of the square bases are 80 millimeters, and the slant height of each pyramid is 17 millimeters.
Let the side length of each of the side of the base of the pyramid be b, hence:
perimeter = 4b
80 = 4b
b = 20 mm. half of the side length = b/2 = 20 / 2 = 10 mm
The slant height (l) = 17 mm, Let h be the height of one of the pyramid, hence, using Pythagoras theorem:
(b/2)² + h² = l²
17² = 10² + h²
h² = 17² - 10² = 189
h = √189
h = 13.75 mm
The length of the game piece = 2 * h = 2 * 13.75 = 27.5 mm.
Answer: 13x-1
Step-by-step explanation: