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zalisa [80]
3 years ago
5

If a figure is dilated by a factor of 1.5, the area of the figure will change by a factor of

Mathematics
2 answers:
Pachacha [2.7K]3 years ago
6 0

Answer:

The figure will change by a factor of 2.25.

Step-by-step explanation:

When the lengths (1-dimensional) change by a factor 1.5 (the definition of <em>dilating </em>a figure), the area (2-dimensional) will change by a factor 1.5 to the power of the quotient of the values of the dimensions, which is 2/1 = 2. So the area will change by a factor of 1.5^2 = 2.25.

babunello [35]3 years ago
4 0
The area of the figure will change by a factor of 2.25
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The legs of a right triangle are 2 and 3. Find the exact value (no decimals) of the hypotenuse.
AVprozaik [17]
A^2 +b^2 =c^2
2^2 + 3^2
4+9=13
The hypotenuse is equal to the square root of 13
5 0
3 years ago
Factor 7x^3+28x^2+21x
jarptica [38.1K]

Answer:

7x (x + 1 ) ( x + 3 )

Step-by-step explanation:

7x³ +28x² +21x

7x ( x² + 4x + 3 )

7x [ x² + 1x + 3x + 3 ]

7x [ x ( x + 1 ) + 3 ( x + 1 ) ]

7x (x + 1 ) ( x + 3 )

3 0
3 years ago
Who ever answers this first will get a brainlest
Mrac [35]

Answer:

Well assuming you don’t need to simplify

44/100

0.44

44%

Step-by-step explanation:

Okay so fraction is easy, theres a 100 cubes in total, 44 are shaded in, 44/100 are shaded in which is the area in this scenario.

Decimal is basically moving the place area by a specific amount, in this case theres no whole number since the whole number is 1 or 100/100 and its 44/100 right now so it can’t be a whole number. Decimals go by tenths, hundreths, thousandths, etc. so in this case 44/100 is n the hundreth place since its over a hundred so its 0.44. Or you can move it twice to the right by the times of 0 that appears.

Percent basically means out of 100. So in this case its 44 out of a hundred or 44%

7 0
3 years ago
Read 2 more answers
In how many ways can you seat 5 women and 5 men in a row if women must seat next to each other,men must seat next to each other,
makvit [3.9K]

Answer: 288ways

Step-by-step explanation:

There are 5men and 5women to be arranged, since the men must seat together, they will be arranged in 5! ways. For the women, since they must also seat together but with siamese twins between them, they can be arranged in 4! ways instead of 5! ways and this is due to presence of the twins among them.

Note that Siamese twins cannot be separated as such both are taken as one making it 4!.

Since the women and men are always sitting together, they can be arranged in 2! ways i.e 2 sexes

The final seating arrangement can be done in 2!×(5!+4!) ways

= 2× (120+24)

= 2×144

= 288ways.

Note that the arrangement of the men and women are added because they can only be arranged differently to ensure different sex are not sitting together.

8 0
3 years ago
2(x + 2) + 2 = 2(x + 3) + 1
Maslowich

Answer:

No solution

Step-by-step explanation:

5(x + 4) – x = 4(x + 5) – 1

x = ?

Solution:

5(x+4)−x=4(x+5)−1

Apply Distributive property:

  • (5)(x)+(5)(4)−x=(4)(x)+(4)(5)−1
  • 5x+20−x=4x+20−1

Combine Like Terms:

  • (5x−x)+(20)=(4x)+(20−1)
  • 4x+20=4x+19
  • 4x+20=4x+19

Subtract 4x from both sides:

  • 4x+20−4x=4x+19−4x
  • 20=19

Subtract 20 from both sides:

  • 20−20=19−20
  • 0=−1

There isn't any solutions.

6 0
2 years ago
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