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-Dominant- [34]
2 years ago
10

In 1603, German astronomer Christoph Scheiner began to copy and scale diagrams using an instrument that came to be known as the

pantograph. By moving a pencil attached to a mechanical assembly, Scheiner was able to produce a second image that was identical to the first but enlarged.
Do some brief research on Scheiner’s invention. What shape is the mechanical assembly based on? How does the operation of the pantograph relate to dilations and similarity?
Mathematics
1 answer:
schepotkina [342]2 years ago
7 0

It should be noted that a pantograph consists of four rods that are joined together in order to form a parallelogram with the joints varying in relation to the scale of reproduction.

<h3>Pantograph</h3>

In a pantograph, the mechanical assembly is based on the shape of a parallelogram.

It should be noted that the operation of a pantograph can be related to dilation as it has a fixed center and two points which are a drypoint that follows the contour of the original drawing, as well as a pen point that traces the reproduction in an enlarged or reduced form.

In order to enlarge a drawing, the index is positioned between the fixed center and the pen. Therefore, to reduce it, the pen is set between the fixed center and the index.

Lastly, to copy a drawing on the same scale, it can be deduced that the index and the pen are equidistant from the fixed center.

Learn more about mechanical assembly on:

brainly.com/question/258307

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agasfer [191]
We use the Work formula to solve for the unknown in the problem which is W = F x d. First, we solve for the Net Force acting on the car. The Net Force is the summation of all forces acting on the object. For this case, we assume that Friction Force is negligible thus the Net Force is equal to:

F = mgsinα in terms of SI units and in terms of english units we have F = m(g/g₀)(sin α) where g₀ is the proportionality factor, 32.174 ft lb-m / lb-f s²

F = 2500 (32.174/32.174) (sin 12°) = 519.78 lb

W = Fd = 519.78 lb (400 ft) = 207912 ft - lb or 20800 ft-lb
5 0
3 years ago
What digit (s) can be in the ones place of a number that has 5as a factor
slavikrds [6]
If 5 is a factor of the number, then its ones place is either a 5 or a zero.
7 0
3 years ago
Find the 8th term of the geometric sequence 7, 28, 112, ...
Bumek [7]
I got 114688 by going up x4
4 0
3 years ago
What is the probability of rolling a dice at most 3 times until a 6 occurs
IRISSAK [1]

Answer:

Probablity of getting six in at most three roll= 0.199.

Step-by-step explanation:

Given: Dice rolled at most 3 times untill a 6 occurs.

First, finding the probablity of getting 6 in a dice if rolled once.

Probablity= \frac{chances\ of\ occurance}{Total\ number\ of\ event}

We know, dice have six side, therefore, total number of event will be 6.

∴ Probablity of getting six in one roll= \frac{1}{6}

As given, Dice is rolled at most 3 times.

Now, finding the probablity of getting 6 in a dice if rolled 3 times.

∴ Probablity of getting six in three roll= \frac{1}{6}+(\frac{1}{6})^{2} +(\frac{1}{6})^{3}

⇒ Probablity of getting six in three roll=  \frac{1}{6}+\frac{1}{36} +\frac{1}{216}

Taking LCD 216

⇒Probablity of getting six in three roll= \frac{1\times 36+ 6\times 1+1}{216}

⇒Probablity of getting six in three roll= \frac{43}{216}

∴Probablity of getting six in three roll=0.199

           

3 0
4 years ago
Please help with this question! I'm stuck on it and it's due on the 14th!
shtirl [24]
Josh did not follow the order of operations , he should have done 8x divided by 2 first but instead he did 4x- 8x 

The correct solution...

4x-8x / 2 

4x -4x
0 
The solution should be zero (0)

Hope it helps!
4 0
4 years ago
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