Answer:
25.133 units
Step-by-step explanation:
Since the density ρ = r, our mass is
m = ∫∫∫r³sinθdΦdrdθ. We integrate from θ = 0 to π (since it is a hemisphere), Φ = 0 to 2π and r = 0 to 2 and the maximum values of r = 2 in those directions. So
m =∫∫[∫r³sinθdΦ]drdθ
m = ∫[∫2πr³sinθdθ]dr ∫dФ = 2π
m = ∫2πr³∫sinθdθ]dr
m = 2π∫r³dr ∫sinθdθ = 1
m = 2π × 4 ∫r³dr = 4
m = 8π units
m = 25.133 units
Answer:
It's the first one. (m + n - 1) sqrt p
Step-by-step explanation:
We can combine m sqrt p and n sqrt p, resulting in m + n, and combine - sqrt p to become (m + n - 1)sqrt p
Answer:
1. 36 sq un
2. 40 sq un
3. 20 sq un
Step-by-step explanation:
The answer for number one is 36 square units because the rectangular area is 24 sq un and the triangular area is 12 sq un so I added them to get 36 sq un. The second answer is 40 sq un because if you cut the shape into 2 shapes you get 2 equal trapezoids. Each trapezoid is 20 sq un so I multiplied it by two to get 40 sq un. The third answer is 20 because the side triangles are 2 sq un each and the square on the bottom is 16 sq un. By the way, sq un means square units lol.
Answer:
It is 0.4524 rounded simply you can say 0.45
Step-by-step explanation:
if you multiply 2/7 by 6 which is 12/42 and 1/6 times 7 which is 7/42 and add both fractions you will get 19/42 which is 0.45 you can either say the answer is 0.45 or 19/42.
194 in radical form is just √194. I don't believe any square roots go into it. Hope that helps. :)
