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Sladkaya [172]
3 years ago
10

A designer wants to create a whisper chamber in the shape of an ellipse. He has a warehouse space with a longest length of 40 me

ters, which he decides will be the major axis of his elliptical chamber. He determines the best spots for his guests to stand to experience his whisper chamber will be 5 meters from the center of the warehouse space, which will act as the foci. How far out from the center, along the minor axis, should he build his whisper chamber?
A: 19.4 m
B: 38.7 m
C: 39.7 m
D: 79.4 m
Mathematics
1 answer:
luda_lava [24]3 years ago
5 0

Answer: the answer is 19.4m

Step-by-step explanation:

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To check if two vectors are orthogonal(perpendicular), simply check their dot product, if their dot product is 0, then they're perpendicular, let's check.

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to check if two vectors are parallel, simply check their slope by doing a b/a check, if the slopes are the same, then they're indeed parallel to each other, let's check.

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<h3>Answers:</h3><h3>Total Area = 342.5 square meters</h3><h3>Total Cost = 138 pounds</h3>

=============================================================

Work Shown:

Break the figure up as shown by the dashed lines. Think of cutting along those lines to form 3 separate figures. The trapezoid on the left has area

A = h*(b1+b2)/2

A = 5*(11+12)/2

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The rectangle in the middle has area

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The trapezoid on the right has area

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1 can costs £6 and it covers 15 square meters. We need to cover 342.5 square meters

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Round up to the nearest whole number to get 23

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Note that 22 cans won't be enough because 22*15 = 330 is short of 342.5

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