Mathematics, 18.03.2021 01:30 namirah0303
Task
Understanding geometric properties and attributes of inscribed quadrilaterals of a circle can help find
locations and relationships.
Directions for Students
Tammy has a circular garden with a diameter of 36 feet. She will create 4 stone pathways in the garden
that will form an inscribed quadrilateral in her circular garden. Tammy wants the straight-line distance
between one pair of opposite vertices to be 36 feet. She also wants two consecutive pathways to have
lengths of 24 feet and 12 feet. Tammy will plant marigolds along the shorter edge of the garden that is cut
off by the pathways of lengths 24 feet and 12 feet. What length, to the nearest tenth of a foot of the edge
of the garden will be planted with marigolds? Provide evidence to support your answer.
Answers: 1
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Mathematics, 22.06.2019 01:10
Evaluate 8x2 + 9x − 1 2x3 + 3x2 − 2x dx. solution since the degree of the numerator is less than the degree of the denominator, we don't need to divide. we factor the denominator as 2x3 + 3x2 − 2x = x(2x2 + 3x − 2) = x(2x − 1)(x + 2). since the denominator has three distinct linear factors, the partial fraction decomposition of the integrand has the form† 8x2 + 9x − 1 x(2x − 1)(x + 2) = correct: your answer is correct. to determine the values of a, b, and c, we multiply both sides of this equation by the product of the denominators, x(2x − 1)(x + 2), obtaining 8x2 + 9x − 1 = a correct: your answer is correct. (x + 2) + bx(x + 2) + cx(2x − 1).
Answers: 3
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