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Would use the algorithm for solving square root.
For square root, √n
x₁ = 0.5(x₀ + n/x₀)
(This formula is known and for square root, and can be derived using Newton-Raphson's approximation equation)
Where x₀ is the initial guess. x₁ becomes the new guess.
For √100.6 let our initial guess be 10, x₀ = 10, n = 100.6
Our approximation shall be to 3 decimal places. Once we get the same answer twice we stop the algorithm.
x₀ = 10, x₁ = 0.5(x₀ + n/x₀), x₁ = 0.5(10 + 100.6/10) = 10.030, x₁ = 10.030
x₂ = 0.5(x₁ + n/x₁), x = 0.5(10.030 + 100.6/10.030) ≈10.015, x₂ ≈ 10.030 (to 3 decimal places)
Since x₂≈ x₁, the algorithm stops.
So the √100.6 is ≈ 10.030 to 3 decimal places.
I hope this helps.
Hello, I Am BrotherEye
Answer:
x -1 = Sqrt6
Step-by-step explanation:
D.) Is the Proper Answer
Answer:
Inverse of F does not exist
Step-by-step explanation:
2 different x values lead to 1 y value therefore it cannot be reversed
To figure out two separate dimensions for finding a Volume of 100 cubic cm, you will look at the factors of 100 that will result in an answer of 100.
You will need the area of the triangular base and the height of the pyramid.
I will use 3 as the height for both triangle because in the formula, you will multiply by 1/3. This means you will need to get an area of 100 for each triangle.
Because you will divide by 2, you need to find 2 different sets of factors that will give you 200. I chose 20 and 5 and 25 and 4.
Please see the attached work for the calculations.
Triangle #1: Triangle #2:
b = 40 cm b = 50 cm
h(of the base triangle) = 5 cm h(of the base triangle) = 4 cm
H(of the pyramid) = 3 cm H(of the pyramid) = 3 cm