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Misha Larkins [42]
3 years ago
14

a wooden block measures 2 inches by 2 inches by 3 inches. A wedge is cut off from each corner of the block by slicing at points

that are 1 inch from each corner. How many edges does the resulting solid have?
Mathematics
1 answer:
Alla [95]3 years ago
5 0

Answer:

Total number of edges for resulting solid = 12

Step-by-step explanation:

A wooden block measures 2 inches by 2 inches by 3 inches. A wedge is cut off from each corner of the block by slicing at points that are 1 inch from each corner.

We have to find the number of edges in the resulting solid after we cut the edges as told above.

There are two faces along the height which will become sharpened after we take out the cuts.

So the resulting shape would be like that of a cylinder with its both ends pointed.

So total number of edges = 4 + 4 + 4 = 12

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<h3>168 in 2 and then 132 in 2</h3>
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In a right triangle ΔABC, the length of leg AC = 5 ft and the hypotenuse AB = 13 ft. Find: Chapter Reference b The length of the
Butoxors [25]

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The length of the angle bisector of angle ∠A is 6.01.

Step-by-step explanation:

It is given that length of leg AC = 5 ft and the hypotenuse AB = 13 ft.

Using pythagoras theorem

(AB)^2=(BC)^2+(AC)^2

(13)^2=(BC)^2+(5)^2

169=(BC)^2+25

BC=12

\sin A=\frac{\text{perpendicular}}{\text{hypotenuse}}

\sin A=\frac{BC}{AB}

A=\sin ^{-1}\frac{12}{13}

A=67.38

Bisector divides the angle in two equal parts, therefore,

A'=\frac{67.38}{2} =33.69

In triangle ACD.

\cos A'=\frac{\text{Base}}{\text{Hypotenuse}}

\cos A'=\frac{AC}{AD}

\cos (33.69^{\circ})=\frac{5}{AD}

0.832=\frac{5}{AD}

AD=\frac{5}{0.832} =6.009\approx 6.01

Therefore the length of the angle bisector of angle ∠A is 6.01.

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Step-by-step explanation:

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