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3 years ago

A rectangular solid measures 5 cm long by 3 cm wide by 1 cm high. What is the surface-area-to-volume ratio

Mathematics

1 answer:

siniylev [52]3 years ago

8 0

Answer:

Answer below

Step-by-step explanation:

Yo uneed to find the Area/volume

The area of the rectangle is 2×(5cm×1cm)+2(3cm×1cm)+2(5cm×3cm)=10cm+6cm+30cm=36cm^2

Volume=5cm×3cm×1cm=15cm^3

Ratio: 36cm^2/15cm^3=12cm^2/5cm^3

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Convert 312 quarts to gallons.

dimaraw [331]

78 gallons is the same as 312 quarts

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3 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

4 years ago

PLEASE ANSWER AS QUICKLY AS POSSIBLE!!

Romashka [77]

Answer:

y=-3x-3

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Please help.Please show the formula,thanks.

Yuki888 [10]

Answer:

DE=6.3

Step-by-step explanation:

triangles are similar so, its sides and angles are comgruent.

side BC=side DE

side BC=6.3

side DE=6.3

<h3>Note:if you need to ask any question please let me know.</h3>

5 0

3 years ago

Qué son los ángulos?

Mandarinka [93]

Answer:

"what are angles"

Step-by-step explanation:

En la geometría euclidiana, un ángulo es la figura formada por dos rayos, llamados lados del ángulo, que comparten un punto final común, llamado vértice del ángulo. Los ángulos formados por dos rayos se encuentran en el plano que contiene los rayos. Los ángulos también se forman por la intersección de dos planos. Estos se llaman ángulos diedros

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3 years ago