a farmer has a rectangular field that measures 125 feet by 200 feet. He wants to enclose the field with a fence. What is the tot
1 answer:
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Answer:
<h2>510.4 ft²</h2>Step-by-step explanation:
We have:
two trapezoids with bases 15ft and 7ft and height 5ft.
four rectangles 5ft × 11ft, 15ft × 11ft, 9.4ft × 11ft and 7ft × 11ft.
The formula of an area of a trapezoid:
b₁, b₂ - bases
h - height
Substitute:
The formula of an area of a rectangle:
l - length
w - width
The dimensions of rectangle l × w
Subtitute:
The surface area of the figure:
[tex]S.A.=2A_t+A_1+A_2+A_3+A_4\\\\S.A.=2(55)+55+165+103.4+77=510.4\ ft^2[/text]
28. Answer: 86% decrease
<u>Step-by-step explanation:</u>
Original Sphere has a radius of 100% → r =1
Surface Area of Original Sphere:
S.A. = 4πr²
= 4π(1)²
= 4π
New Sphere has a diameter of 75% → d = 0.75 → r = 0.375
Surface Area of New Sphere:
S.A. = 4πr²
= 4π(0.375)²
= 0.5625π
<em>The negative sign represents a decrease.</em>
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29. Answer: 72 bottles
<u>Step-by-step explanation:</u>
Volume of a hemisphere is:
Volume of a cylinder is:
The number of cylinders needed is: