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galben [10]
3 years ago
12

Is 5.565656... a rational number

Mathematics
2 answers:
seropon [69]3 years ago
7 0

Answer:

Yes 5.565656 is a rational number

Step-by-step explanation:

How do we know?

Rational: Numbers that end and do not go on forever

Examples:

Decimals that end or repeat (in your case)

Fractions

Whole numbers

Square Roots

Kitty [74]3 years ago
5 0

Answer:

Yes

Step-by-step explanation:

A rational number is a number that can be expressed as a fraction. Since the numbers after the decimal are repeating, (it's just repeating 56 over and over) it can be written as a fraction.

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Answer:

25 mm

Step-by-step explanation:

Set up a proportion where x is the number of millimeters for 160 kilometers

\frac{5}{32} = \frac{x}{160}

Cross multiply and solve for x:

32x = 800

x = 25

So, 25 millimeters represent 160 kilometers

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The top piece from a model of city hall is shown below.
alexandr402 [8]

Answer:

The area that she painted = 896 mm^2

Step-by-step explanation:

Given:

The given figure is a pyramid with square base.

Here we need to find the surface area of the figure that need to be painted.

Surface area of a square pyramid = (S×S) + 2×S×L square.units

Where, S = side of the base L = slant height of the pyramid.

Now we have to plug in the given values.

Here S = 14, L =25

Plug in these values into the formula

= (14*14) + 2*14*25

= 196 + 700

= 896 mm^2

The area that she painted = 896 mm^2

Hope this will helpful.

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Archy [21]

Answer:

The population will be 896 turtles 6 years later ⇒ B

Step-by-step explanation:

The exponential increasing formula is y = a(1+r)^{x}, where

  • y is the new value
  • a is the initial value
  • r is the rate of increase in decimal
  • x is the time in years

∵ There are 300 turtles

∴ a = 300

∵ The population of the turtles exponentially increases 20% each year

∴ r = 20%

→ Divide it by 100 to change it to decimal

∵ 20% = 20 ÷ 100 = 0.2

∴ r = 0.2

∵ The time is 6 years

∴ x = 6

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∴ y = 300(1.2)^{6}

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→ Round it to the nearest whole number

∴ y = 896

∴ The population will be 896 turtles 6 years later

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3 years ago
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