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pshichka [43]
2 years ago
13

Describe the general properties of rotations. Include a discussion of the properties of rigid transformations, and line segments

connecting corresponding points to each other and to the center of rotation.
Mathematics
2 answers:
Alex777 [14]2 years ago
4 0

Sample Response: Rotations are rigid transformations, which means they preserve the size, length, shape, and angle measures of the figure. However, the orientation is not preserved. Line segments connecting the center of rotation to a point on the pre-image and the corresponding point on the image have equal length. The line segments connecting corresponding vertices are not parallel.


Yanka [14]2 years ago
4 0

Answer:

Sample Response: Rotations are rigid transformations, which means they preserve the size, length, shape, and angle measures of the figure. However, the orientation is not preserved. Line segments connecting the center of rotation to a point on the pre-image and the corresponding point on the image have equal length. The line segments connecting corresponding vertices are not parallel.

Step-by-step explanation:

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The square shown has a perimeter of 32 units. The square is rotated about line k.
Bad White [126]

A cylinder with a circumference of about 50 units is formed.

Step-by-step explanation:

Step 1:

The perimeter of the square is 32 units. The perimeter of a square is given by 4 times its side length.

(4) sidelength = 32, sidelength = \frac{32}{4} = 8.

So the side length of the square is 8 units.

If a square is rotated a cylinder will be formed. So the options with a cone are wrong as a cone is formed when a triangle is rotated.

Step 2:

To calculate the circumference of the cylinder, we multiply 2π with the radius. The radius is the same as the side length of the square. So r is 8 units.

The circumference of the cylinder = 2\pi r = (2) (3.1415)(8) = 50.264.

So the circumference of the cylinder is approximately equal to 50 units so the answer is the fourth option, a cylinder with a circumference of about 50 units.

4 0
2 years ago
Read 2 more answers
Last year Boris paid £256 for his car insurance.
jenyasd209 [6]

Answer:

The percentage increase in the cost of Boris car insurance cost is 249%

Step-by-step explanation:

In this question, we want to calculate the percentage increase in the cost of car insurance paid by Boris

Mathematically, to calculate this percentage increase, we shall need to make use of a mathematical formula.

Mathematically, the percentage increase would be;

{(new value paid-old value paid)/old value paid} * 100%

From the question, we can identify that the old value paid is £256 while the new value paid is £894

Thus, the percentage increase would be ;

(894-256)/256 * 100% = 638/256 * 100 = 2.4921875 * 100 = 249.21875 which is 249% increase to the nearest whole percentage

6 0
2 years ago
Last week, the price of apples at a grocery store was $1.60 per pound. This week, apples at the same grocery store are on sale a
Valentin [98]

Answer:

$6.48

Step-by-step explanation:

First you divide do the $1.60 and the 10% discount which will bring you to $1.44 and then you times $1.44 and 4 1/2 to get $6.48.

4 0
1 year ago
Read 2 more answers
A farmer is estimating the surface area of his barn to find how much paint he needs to buy. One part of the barn is triangular a
Nady [450]
We know the triangle is an isosceles triangle. So, we use the Pythagorean Theorem. 

a^2+b^2=c^2

The c would be 22, because it's the longest edge. Now find a or b. They are the same, that is how you find the two sides of the triangle for part A.

To find the area of the triangle, the forumla is a=hb/2

Plug in the numbers for that formula and the answer would be found for part B.

I hope I helped.
7 0
2 years ago
A paint shop stocks 1800 liters of paint 24% of the paint is white. The shops sells 18% of the white paint and 7% of the rest of
Anuta_ua [19.1K]

Answer:The amount of paint that was sold altogether is 173.36 litres

Step-by-step explanation:

The total amount of paint that the paint shop stocks is 1800 litres.

24% of the paint is white. It means that the amount of white paint would be

24/100 × 1800 = 0.24 × 1800 = 432 litres.

The amount of the remaining paint other than white would be

1800 - 432 = 1368 litres

The shops sells 18% of the white paint. This means that the amount of white paint sold by the shop will be

18/100 × 432 = 0.18 × 432 = 77.6 litres.

The shops sells 7% of the rest of the paint.

This means that the amount of the rest paint sold by the shop will be

7/100 × 1368 = 0.07 × 1368 = 95.76 litres.

The amount of paint that was sold altogether would be

77.6 + 95.76 = 173.36 litres

5 0
2 years ago
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