Answer:
69 years
Step-by-step explanation:
Trust me 69
Sum of internal angles of any triangle = 180∘
∴x + 2x + 3x = 180∘
∴6x = 180∘
∴ x = 30∘
So the angles are: 30∘, 60∘ and 90∘
Answer:
6.5 cm
Step-by-step explanation:
From Pythagoras theorem
C^2= a^2 + b^2
Where a, b are the sides of the triangle
C= hypotenus sides of the triangle
two sides are given as 1.6 cm and 6.3cm respectively.
C^2= 1.6^2 + 6.3^2
C^2= 2.56 + 39.69
C^2 = 42.25
C= √42.25
C=6.5 cm
Hence, the length of the hypotenuse is 6.5 cm
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
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