Answer:
Vf = 118.365 m3
Step-by-step explanation:
Vcil = Pi*[(20)^2]*(100=
Vcil = 125.600 m3
Vesf = (4/3)*Pi*(12)^3
Vesf = 7235 m3
Then
Vf = Vci - Vesf
Vf = 125.600 - 7235
Vf = 118365 m3
Best regards
Answer:
8 square units
Step-by-step explanation:
The figure is a trapezoid. The area of it is given by the formula ...
A = (1/2)(b1 +b2)h
where b1 and b2 are the lengths of the parallel bases and h is the distance between them.
Your figure shows the base lengths to be 5 and 3, and their separation to be 2. Filling the numbers in the formula, we have ...
A = (1/2)(5 +3)(2) = (1/2)(8)(2) = 4·2 = 8
The area of the figure is 8 square units.
_____
The right-pointing arrows on the horizontal lines identify those lines as being parallel. The right-angle indicator and the 2 next to the dotted line indicate the perpendicular distance between the parallel lines is 2 units.
The lines are perpendicular to each other because the graph of y = –6 is a horizontal line with a slope that is undefined, and the graph of x = 1/6 is a vertical line with a slope of 0.
The lines are perpendicular to each other because the graph of y = –6 is a vertical line with a slope that is undefined, and the graph of x =1/6 is a horizontal line with a slope of 0.
The lines are perpendicular to each other because the graph of y = –6 is a vertical line with a slope of 0, and the graph of x =1/6 is a horizontal line with a slope that is undefined.
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The lines are perpendicular to each other because the graph of y = –6 is a horizontal line with a slope of 0, and the graph of x =1/6 is a vertical line with a slope that is undefined.
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<u> case a)</u> The area of the square hole is 8 square centimeters
we know that
the area of a square is equal to
where
b is the length side of the square
in this problem we have
<u>Find the length side b</u>
<u>the answer Part a) is</u>
the length side of the square is 
Part b) The volume of a cube shaped block is 64 cubic centimeters
we know that
the volume of a cube is equal to
where
b is the length side of the cube
in this problem we have
<u>Find the length side b</u>
![b^{3} = 64 \\b= \sqrt[3]{64} \\b= 4\ cm](https://tex.z-dn.net/?f=b%5E%7B3%7D%20%3D%2064%20%5C%5Cb%3D%20%5Csqrt%5B3%5D%7B64%7D%20%5C%5Cb%3D%204%5C%20cm)
therefore
<u>the answer Part b) is</u>
the length side of the cube is 
Area of the garden that 15 trees are planted will be:
Area=250×25=6250 ft²
but 1 acre= 43560 ft²
thus converting our area to acres we get:
6250/(43560)
=0.1435 acres
thus the population density will be:
(Population)/(area)
=15/0.1435
=104.544 trees/acre
