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Paladinen [302]
3 years ago
7

Winton wants to find the volume of a cube. He uses the formula for volume of a cube V=

%7D%5E%7B3%7D%20" id="TexFormula1" title=" {s}^{3} " alt=" {s}^{3} " align="absmiddle" class="latex-formula">, where s is the length of one side of the cube. If s = 0.5 centimeter, what is the volume of the cube?
Mathematics
2 answers:
N76 [4]3 years ago
3 0
0.125 cubic centimeters.
marshall27 [118]3 years ago
3 0

Answer:0.125 cubic centimeters is right

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Step-by-step explanation:

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3 years ago
Pat needs to determine the height of a tree before cutting it down to be sure that it will not fall on a nearby fence. The angle
dem82 [27]

Answer:

229.23 feet.

Step-by-step explanation:

The pictorial representation of the problem is attached herewith.

Our goal is to determine the height, h of the tree in the right triangle given.

In Triangle BOH

Tan 60^0=\dfrac{h}{x}\\h=xTan 60^0

Similarly, In Triangle BOL

Tan 50^0=\dfrac{h}{x+60}\\h=(x+60)Tan 50^0

Equating the Value of h

xTan 60^0=(x+60)Tan 50^0\\xTan 60^0=xTan 50^0+60Tan 50^0\\xTan 60^0-xTan 50^0=60Tan 50^0\\x(Tan 60^0-Tan 50^0)=60Tan 50^0\\x=\dfrac{60Tan 50^0}{Tan 60^0-Tan 50^0} ft

Since we have found the value of x, we can now determine the height, h of the tree.

h=\left(\dfrac{60Tan 50^0}{Tan 60^0-Tan 50^0}\right)\cdotTan 60^0\\h=229.23 feet

The height of the tree is 229.23 feet.

5 0
3 years ago
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