Solid circle over 3 line going left
Answer:
13
Step-by-step explanation:
1 1/3 = 4/3
18 ÷ 4/3
= 13
Answer:
0
Step-by-step explanation:
∫∫8xydA
converting to polar coordinates, x = rcosθ and y = rsinθ and dA = rdrdθ.
So,
∫∫8xydA = ∫∫8(rcosθ)(rsinθ)rdrdθ = ∫∫8r²(cosθsinθ)rdrdθ = ∫∫8r³(cosθsinθ)drdθ
So we integrate r from 0 to 9 and θ from 0 to 2π.
∫∫8r³(cosθsinθ)drdθ = 8∫[∫r³dr](cosθsinθ)dθ
= 8∫[r⁴/4]₀⁹(cosθsinθ)dθ
= 8∫[9⁴/4 - 0⁴/4](cosθsinθ)dθ
= 8[6561/4]∫(cosθsinθ)dθ
= 13122∫(cosθsinθ)dθ
Since sin2θ = 2sinθcosθ, sinθcosθ = (sin2θ)/2
Substituting this we have
13122∫(cosθsinθ)dθ = 13122∫(1/2)(sin2θ)dθ
= 13122/2[-cos2θ]/2 from 0 to 2π
13122/2[-cos2θ]/2 = 13122/4[-cos2(2π) - cos2(0)]
= -13122/4[cos4π - cos(0)]
= -13122/4[1 - 1]
= -13122/4 × 0
= 0
In order to determine the area of the lot of land in squared yards, proceed as follow:
Convert the dimensions of the rectangle to yards, by using the given conversion factor:
Next, consider that the area of the lot is the area of a rectangle. Replace the previous values of the length and the width of the rectangle:
Hence, the area of the lot of land is 656.25 sq yd
The total number of snakes in the zoo is 10.
<h3>How to use ratio to find the number of snake?</h3>
The number of snake can be found using ratio as follows:
The animals in the zoo are lions, tigers and snakes and he has them in the ratio of 5 : 3 : 2. The total animal is 50 animals.
Therefore,
total snakes = 2 / 10 × 50
total snakes = 100 / 10
total snakes = 10
Therefore, the total number of snakes in the zoo is 10.
learn more on ratio here: brainly.com/question/14524026
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