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3 years ago

Quadrilateral MNPQ is the same shape but a different size than quadrilateral M'N'P'Q'

1 answer:

6 0

If the shape is the same, but the size is different, <em>dilation is involved</em>. There may be other transformations that are also involved (such as rotation, translation, or reflection), so MNPQ may or may not be a straight dilation of M'N'P'Q'.

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Translation and dilation can sometimes be combined to a dilation about a point that is not the origin. Reflection might be accommodated by using a negative dilation factor. However, rotation cannot be accomplished using dilation alone.

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What is the perimeter of an equilateral triangle that has a height of 24m?

meriva

Answer:

The perimeter of an equilateral triangle that has a height of 24m is

Option C : 48 square root 3

Step-by-step explanation:

Given:

Height of the triangle =24 m

To Find:

The perimeter of an equilateral triangle = ?

Solution:

Perimeter of the equilateral triangle = 3a

where a is the side of the triangle

Here the height is given as 24 m

Then from the figure

$Sin(60^{\circ}) = \frac{opposite}{hypotenuse}$

$Sin(60^{\circ}) = \frac{24}{x}$

$x = \frac{24}{Sin(30^{\circ})}$

$x= \frac{24}{\frac{\sqrt{3}}{2}}$

$x = \frac{24 \times2}{\sqrt{3}}$

$x = \frac{48}{\sqrt{3}}$

Now

The perimeter is

=> 3x

=> $3 \times \frac{48}{\sqrt{3}}$ -------------------------(1)

Now we know that 3 = $\sqrt{3} \times \sqrt{3}$ --------------------(2)

Substituting (2) in (1)

=> $(\sqrt{3} \times \sqrt{3}) \times \frac{48}{\sqrt{3}}$

=> $48\sqrt{3}$

4 0

3 years ago

The 8th graders are goin to sell candy bars for senior trip fundraiser. They need to split the candy boxes so that each student

Lena [83]

18 students because 1/3 ÷6=

you must do KFC .keep .flip .change you first change 6 to 6/1 and then flip1/3 to 3/1 than change the ÷ to × and ...... 6/1× 3/1 = 18!

8 0

3 years ago

Which situations can be represented by isometric transformations? Check all that apply. A photo is projected from a computer int

Romashka-Z-Leto [24]

Answer:

The correct options are;

A circular game piece is moved three squares forward

The flag on a mailbox is turned up

Step-by-step explanation:

An isometric transformation also known as isometry, is the rigid motion transformation or movement that preserves the shape, angles, and distances between of a pre-image (object) and the final image.

Rotation, reflection, translation (parallel motion), glide deflection (transformation involving translation and reflection) such as snow footprints are forms of isometric transformation.

6 0

4 years ago

Read 2 more answers

Can you please tell me what is <br><br> 0.45 ÷ 0.09

Katen [24]

Step-by-step explanation:

$0.45 \div 0.09 \\ = \frac{0.45}{0.09} = \frac{45}{9} = 5$

7 0

3 years ago

Read 2 more answers

Trevor paints 1/6 of a fence surrounding his farm each day how many days will it take him to paint 3/4of the fence

natali 33 [55]

4 1/2 days. I first made the fractions have an equal denominator(24). Then make the numerator equal up. (1/6 to 4/24) (3/4 to 18/24). Then, I counted (by 4/24) until I got to 18/24.

6 0

3 years ago