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storchak [24]
1 year ago
14

Name the figure below in two different ways. C J b

Mathematics
1 answer:
Irina18 [472]1 year ago
4 0

Based on the letters representing the the given figure, two different ways that it can be named are CJB and BJC.

<h3>What other ways can the figured be named?</h3><h3 />

The figure has the midpoint of J.

This means that when you are naming the figure, J has to be in the middle of either of the names that you choose.

You can therefore name the shape CJB which would mean that C is the starting point and B is the ending point.

Or you could name it BJC with B being the starting and C being the ending.

Rest of the question:

Shape description is that of a line that has three different points which are C, J, and B.

Find out more on naming figures at brainly.com/question/22749241.

#SPJ1

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A trapezoidal prism undergoes a dilation. The surface area of the pre-image is 35 m². The surface area of the image is 315 m². T
Westkost [7]

The original object is called pre-image, and its dilated version is called image. The height of the image for the considered case is 17.4 m

<h3>How does dilation affect length, area, and volume of an object?</h3>

Suppose a figure (pre image) is dilated (dilated image) by scale factor of k.

So, if a side of the figure is of length L units, and that of its similar figure is of M units, then:

<u><em>L = k × M</em></u>

where 'k' will be called as scale factor.

The linear things grow linearly like length, height etc.

The quantities which are squares or multiple of linear things twice grow by square of scale factor. Thus, we need to multiply or divide by <u><em>k²</em></u><em> </em>to get each other corresponding quantity from their similar figures' quantities.

<u><em>So </em></u><u><em>area </em></u><u><em>of </em></u><u><em>first figure </em></u><u><em>= k² × area of second figure</em></u>

Similarly,

<u><em>Volume </em></u><u><em>of first figure = k³ × volume of second figure.</em></u>

It is because we will need to multiply 3 linear quantities to get volume, which results in k getting multiplied 3 times, thus, cubed.

For this case, we're given that;

  • Surface area of pre-image = 35 m²
  • Surface area of dilated image = 315 m²
  • Height of pre-image = 5.8 m
  • Height of dilated image.

Let the scale fator of dilation be k.

Then:

<u><em>So area of pre-image = k² × area of dilated image</em></u>

Thus, we get:

35 = k^2 \times 315\\\\k = \sqrt{\dfrac{35}{315}} = 1/3

(took positive root as scaling is done by non-negative factors as only magnitude matters mostly)

Thus, we get:

Height of pre-image = (1/3) × Height of dilated image (say h)

5.8 = (1/3) \times h\\h = 3 \times 5.8 = 17.4 \rm \: m

Thus, the original object is called pre-image, and its dilated version is called image. The height of the image for the considered case is 17.4 m

Learn more about dilation here:

brainly.com/question/3266920

4 0
2 years ago
Read 2 more answers
Robin has a certain number of dimes in his pocket. If the dimes were pennies, he would have $1.08 less than he has now. How many
laiz [17]

Answer:

Robin will have 12 dimes in his pocket.

Step-by-step explanation:

Since;

D = One dime = $0.1

P = One penny = $0.01

Amount to have less = $1.08

From the above, when a dime is changed to a penny, the amount held by Robin will decrease by $0.09. That is,

Decease in holding = D - P = $0.1 - $0.01 = $0.09

Therefore, we have:

Number of dimes = Amount to have less / Decease in holding = $1.08 / $0.09 = 12 dimes

Therefore, Robin will have 12 dimes in his pocket.

4 0
3 years ago
2) A foul ball leaves the end of a baseball bat and travels according to the function
sladkih [1.3K]

Answer:

5

Step-by-step explanation:

7 0
3 years ago
Exercise - 4<br>1 Express the following angles into sexagesimal second<br>a. 20° 20​
liubo4ka [24]

Answer:

202000''

Step-by-step explanation:

(20*100*100)+(20*100)

200000+2000

202000

5 0
3 years ago
I need help with my math
Tresset [83]
What is the question 
3 0
3 years ago
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