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2 years ago

In a dilation, what is preserved and what is altered?

Mathematics

1 answer:

fgiga [73]2 years ago

5 0

Answer:

A dilation preserves angle measures.

A dilation alters the length of line segments by the same proportion.

Step-by-step explanation:

A dilatation is a transformation that alters a figure's size while maintaining its shape and orientation. Each linear measure of the figure, such as a side length, is multiplied by the scale factor of a dilatation. A dilation is a transformation where all line segments' lengths are altered uniformly. While a dilatation can alter a figure's size, it cannot alter a figure's form. Dilations are not isometries as the figure's size changes.

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Find the weight of the cast iron shape shown below at 0.26 pounds per cubic inch. (round to the nearest pound). The height of th

weqwewe [10]

Answer:

<u>640 pounds </u>

Step-by-step explanation:

The rest of the question is the attached figure

So, the total volume = V(cylinder ) + V(cone)

The volume of cylinder = π r² h

The volume of cone = π r² h/3

Both of the cylinder and the cone have the same diameter = 14 inches

So, the radius = 14/2 = 7 inches

The height of the cylinder is 13 inches and the height of the cone is 9 inches.

So, The volume of cylinder = π r² h = π * 7² * 13 = 2,001.2 in³

And The volume of cone = π r² h/3 = π * 7² * 9/3 = 461.8 in³

So, the total volume = 2,001.2 + 461.8 = 2,463 in³

So, the total weight = 0.26 pounds per cubic inch times the total volume

= 0.26 * 2463 = 640.38 pounds

= <u>640 pounds (to the nearest pound)</u>

6 0

3 years ago

Plz help me with this ASAP

VLD [36.1K]

Answer:

Step-by-step explanation:

plug all in

1) 0 when x=0

2) 1*6-1²=6-1=5

3) 6*2-2²=12-4=8

4)6*3-3²=18-9=9

5) 6*4-4²=24-16=8

6)6*5-5²=30-25=5

7) 6*6-6²=36-36=0

6 0

3 years ago

What Is The scale factor of the dilation?<br> A)-1/2<br> B)1/2<br> C)-2<br> D)2

Vadim26 [7]

Answer:

B) 1/2

Step-by-step explanation:

5 0

3 years ago

For an outdoor concert by the city orchestra, concert organizers estimate that 19 comma 000 people will attend if it is not rai

My name is Ann [436]

<h2>Answer:</h2><h2>The expected number of people who will attend this concert = 2260</h2>

Step-by-step explanation:

The concert organizers estimate people will attend if it is not raining = 19000

If its raining people will attend = 4000

On the day of the concert, meteorologists predict a 90% chance of rain.

This means 10 % chance of not raining

The expected number of people = 90% (4000) + 10% (19000)

= 360 + 1900

= 2260

The expected number of people who will attend this concert = 2260

4 0

3 years ago

A salesperson makes a monthly salary of $1,200 plus 3% of the sales she makes that week. If her total take home pay for the mont

Westkost [7]

how much did they sale? you can not complete the answer without a sale amount. because you are asking that they made $1,200 plus 3% of sale, but you do not have the amount they sold so it just $1,200+3% of the sale , but no number for how much they sale, but for advice i would get the total amount they sale and divide by 100 then times it by 3 then try to fill in the void on how they went from 1,200 to 2500. You need to tell us the amount they sold and then the we can answer your question, but without you will not get your answer, so your question is incomplete.

8 0

3 years ago