Mathematics, 17.06.2021 02:50 roadrnr8970
The diagram shows a model for the roof of a toy building. The roof is in the form of a solid
triangular prism ABCDEF. The base ACFD of the roof is a horizontal rectangle, and the cross-
section ABC of the roof is an isosceles triangle with AB = BC.
The lengths of AC and CF are 2x cm and ycm respectively, and the height of BE above the base of
the roof is rcm.
The total surface area of the five faces of the roof is 600 cm and the volume of the roof is V cm.
(a) Show that v = kx(300 - x?), where k = Va+b and a and b are integers to be determined. [6]
(b) Use differentiation to determine the value of x for which the volume of the roof is a maximum.
(c) Find the maximum volume of the roof. Give your answer in cm', correct to the nearest integer.
[1]
(d) Explain why, for this roof, x must be less than a certain value, which you should state.
[2]β
Answers: 1
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Even if a person is in very good shape, applying to be a police officer requires commitment to fitness. applicants must pass a physical fitness test. in order to prepare for the test, janet purchases an activity tracker to court her steps. her goal is to walk 10,000 steps each day. she measures heard average step length to be 30 inches. play janet runs, her average steps length increases to 36 in. how many steps would she have to take to run 1 mile 50280 round to the nearest step
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Acertain volume of water contains 100000 hydrogen atoms and 50,000 oxygen atoms how many hydrogen atoms are in a volume of water containing 4 million oxygen atoms
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Mathematics, 21.06.2019 21:30
Which best describes the construction of a triangle if given the segment lengths of 2 cm, 3 cm, and 5 cm? a) unique triangle b) cannot be determined c) triangle not possible d) more than one triangle
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The diagram shows a model for the roof of a toy building. The roof is in the form of a solid
triang...
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