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3 years ago

Is 2.85 a rational number

Mathematics

2 answers:

lyudmila [28]3 years ago

8 0

Answer:

Yes

Step-by-step explanation:

Because a rational number can be written in the from a/b

and

285 / 100 = 2.85

rjkz [21]3 years ago

6 0

Answer:

yes

Step-by-step explanation:

A rational number can be expressed in the form

$\frac{a}{b}$ , where a and b are integers

2.85 = 2 $\frac{85}{100}$ = $\frac{285}{100}$ ← a rational number

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The diagonal of a square is 27 cm long. The diagonal of a smaller square is 12 cm long. What is the difference between the lengt

kykrilka [37]

length of big square

$\sqrt{27} = 5.2$

length of small square

$\sqrt{12 } = 3.5$

difference between length of two square

=5.2-3.5

=1.7

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3 years ago

Identify the following polygons with the most specific name. Please she jpg for shapes and choices.

ExtremeBDS [4]

Answer:

isosceles trapezoid

Step-by-step explanation:

honestly not 100% sure but it seems the most specific

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3 years ago

Whats the quotient of 15.86 divided by 0.65?

spayn [35]

Answer:

24.4

Step-by-step explanation:

15.86 /0.65 = 24.4

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3 years ago

What’s the equation of the line that passes through the point (5,1) and has a slope of 1

Dmitriy789 [7]

Answer:

y = x + 4

Step-by-step explanation:

y = mx + b

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b = 4

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8 0

3 years ago

Felix and Oscar are standing on a tower that is 112 feet high. Felix drops his penny while Oscar throws his penny down and it hi

creativ13 [48]

Answer:

It will take<u> 2.64 s</u> for Felix's penny to hit the ground.

Initial velocity of Oscar's penny is <u>7.27 m/s or 23.85 ft/s</u>

Step-by-step explanation:

Given:

Height of the tower is, $h=112\ ft$

Felix drops the penny while Oscar throws his penny.

Time taken by Oscar's penny to reach ground is, $t_o=2\ s$

Now, as Oscar throws his penny, there will be some initial velocity of his penny. Let the initial velocity of his penny be $u_o$ .

As the penny is falling vertically, acceleration of the penny is due to gravity and is equal to -9.8 m/s².

Now, displacement of the penny is equal to the height of the tower = -112 ft = -34.14 m (1 ft = 0.3048 m)

Using equation of motion,

$y=u_ot+\frac{1}{2}at_o^2\\\\-34.14=2u_o-\frac{1}{2}\times9.8\times 2^2\\\\-34.14=2u_o-19.6\\\\2u_o=-34.14+19.6\\\\2u_o=-14.54\\\\u_o=\frac{-14.54}{2}=-7.27\ m/s$

Now, 1 m/s = 3.28 ft/s

So, 7.27 m/s = $7.27\times 3.28 = 23.85\ ft/s$

Therefore, the initial velocity of Oscar's penny is 7.27 m/s or 23.85 ft/s in the downward direction.

Now, Felix drops the penny. So, initial velocity of Felix's penny is 0 m/s.

Displacement of the penny is same and equal to -112 ft = -34.14 m

Using the same equation of motion,

$y=ut+\frac{1}{2}at^2\\\\-34.14=0-\frac{1}{2}\times9.8\times t^2\\\\-34.14=-4.9t^2\\\\t^2=\frac{-34.14}{-4.9}\\\\t=\sqrt{\frac{-34.14}{-4.9}}\\\\ t=2.64\ s$

Therefore, time taken by Felix's penny to reach ground is 2.64 s.

8 0

4 years ago