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2 years ago

Which statement shows that 6.24 is a rational number?

Mathematics

1 answer:

olya-2409 [2.1K]2 years ago

3 0

Answer:

6.24 is a rational number

Step-by-step explanation:

This is because it can be put into a fraction

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The method of grd 5 of using multiplication 24 ×35 =

Mariana [72]

Answer:

24 x 35 = 840

Step-by-step explanation:

3 0

2 years ago

A string passing over a smooth pulley carries a stone at one end. While its other end is attached to a vibrating tuning fork and

nasty-shy [4]

Answer:

correct option is C) 2.8

Step-by-step explanation:

given data

string vibrates form = 8 loops

in water loop formed = 10 loops

solution

we consider mass of stone = m

string length = l

frequency of tuning = f

volume = v

density of stone = $\rho$

case (1)

when 8 loop form with 2 adjacent node is $\frac{\lambda }{2}$

so here

$l = \frac{8 \lambda _1}{2}$ ..............1

$l = 4 \lambda_1\\\\\lambda_1 = \frac{l}{4}$

and we know velocity is express as

velocity = frequency × wavelength .....................2

$\sqrt{\frac{Tension}{mass\ per\ unit \length }}$ = f × $\lambda_1$

here tension = mg

$\sqrt{\frac{mg}{\mu}}$ = f × $\lambda_1$ ..........................3

and

case (2)

when 8 loop form with 2 adjacent node is $\frac{\lambda }{2}$

$l = \frac{10 \lambda _1}{2}$ ..............4

$l = 5 \lambda_1\\\\\lambda_1 = \frac{l}{5}$

when block is immersed

equilibrium eq will be

Tenion + force of buoyancy = mg

T + v × $\rho$ × g = mg

and

T = v × $\rho$ - v × $\rho$ × g

from equation 2

f × $\lambda_2$ = f × $\frac{1}{5}$

$\sqrt{\frac{v\rho _{stone} g - v\rho _{water} g}{\mu}} = f \times \frac{1}{5}$ .......................5

now we divide eq 5 by the eq 3

$\sqrt{\frac{vg (\rho _{stone} - \rho _{water})}{\mu vg \times \rho _{stone}}} = \frac{fl}{5} \times \frac{4}{fl}$

solve irt we get

$1 - \frac{\rho _{stone}}{\rho _{water}} = \frac{16}{25}$

relative density $\frac{\rho _{stone}}{\rho _{water}} = \frac{25}{9}$

relative density = 2.78 ≈ 2.8

so correct option is C) 2.8

3 0

3 years ago

A = 1/2bh, where A is the surface area and b is the base, and H is the height.

elena55 [62]

When height turns to 3 times height or 3h

we can replace h with 3h and see what happens

A=1/2b(3h)
A=3/2bh
A=3(1/2bh)
well, the area is trippled

4 0

3 years ago

Simplify:(- 17)^8÷(-17)^2

lidiya [134]

The simplified answer is $-17^6\\$

If you are dividing powers with like terms you subtract the denominator to the numerator.

$\frac{-17^8}{-17^2} = -17^6$

8 0

3 years ago

Which choice shows 8 less than f? A.8-f B.8/f C.f-8 D.8f

amid [387]

Answer: C

Step-by-step explanation: c is the correct answer. A is incorrect, because 8 is subtracting t, so it is a higher value. B is incorrect because it’s 8/f so 8 is greater. (If it was f/8 then 8 would be less). C is correct because 8 is being taken away from f, not the other way around. And lastly, d is incorrect bc there’s no way to tell which is greater/less. Hope this helped ;)

6 0

2 years ago