5PLSS NEED HELP.........
1 answer:
Answer:
acute: 7, 9
right: 8, 10
obtuse: 5, 6
Step-by-step explanation:
When you have a number of identical calculations to do, it is convenient to do them in a spreadsheet. You only need to enter the formula once and copy it as many times as needed.
The attachment shows the "sum of squares" calculation and comparison to the square of the longest side. When the sum is too small, the longest side is longer than needed for a right angle, so the triangle is obtuse. When the sum is too great, the longest side is too short for a right angle, so the triangle is acute.
We have skipped the tedious arithmetic and shown the results in the attached table.
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Answer:
α(t) = (-a*Sin(t), b*Cos (t)) where t ∈ [0, 2π]
Step-by-step explanation:
Given an arbitrary ellipse (x²/a²) + (y²/b²) = 1 (a, b > 0)
The parametrization can be as follows
x = -a*Sin(t)
y = b*Cos (t)
then
α(t) = (-a*Sin(t), b*Cos (t)) where t ∈ [0, 2π]
If t = 0
α(0) = (-a*Sin(0), b*Cos (0)) = (0, b)
If t = π/2
α(π/2) = (-a*Sin(π/2), b*Cos (π/2)) = (-a, 0)
If t = π
α(π) = (-a*Sin(π), b*Cos (π)) = (0, -b)
If t = 3π/2
α(3π/2) = (-a*Sin(3π/2), b*Cos (3π/2)) = (a, 0)
If t = 2π
α(2π) = (-a*Sin(2π), b*Cos (2π)) = (0, b)
We can see the sketch in the pic.
