A deep-sea exploring ship is pulling up a diver at a rate of 25 feet per minute the diver is 200 feet below sea level how deep w
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The relationship between the sides MN, MS, and MQ in the given regular heptagon is
The area to be planted with flowers is approximately <u>923.558 m²</u>
The reason the above value is correct is as follows;
The known parameters of the garden are;
The radius of the circle that circumscribes the heptagon, r = 25 m
The area left for the children playground = ΔMSQ
Required;
The area of the garden planted with flowers
Solution:
The area of an heptagon, is;
The interior angle of an heptagon = 128.571°
The length of a side, S, is given as follows;
The area of the heptagon MNSRQPO is therefore;
By sine rule, we have
∠MSQ = 128.571 - 2*23.18 = 82.211
The area of triangle, MSQ, is given as follows;
The area of the of the garden plated with flowers, , is given as follows;
= Area of heptagon MNSRQPO - Area of triangle ΔMSQ
Therefore;
= 1,842.94 - 919.382 ≈ 923.558
The area of the of the garden plated with flowers, ≈ <u>923.558 m²</u>
Learn more about figures circumscribed by a circle here:
Answer:
A
Step-by-step explanation:
The volume (V) of a pyramid is
V = area of base × perpendicular height (h)
area of square base = 4² = 16 and h = 4, hence
V = × 16 × 4 =
= 21
ft³