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2 years ago

Help please asap :)))

Mathematics

1 answer:

iVinArrow [24]2 years ago

3 0

Answer:

Step-by-step explanation:

The volume is calculated like:

V= length* hauteur* wide

V= 5* 2 3/4* 10 1/2

$V= 5*\frac{11}{4} *\frac{21}{2} =\frac{5*11*21}{4*2} =\frac{1155}{8}=144.375 \\=144 \frac{3}{8} in^{3}$

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SVEN [57.7K]

Answer:

$\boxed{\sf distance \: between \: the \: objects \: \: is \: 2.5 \: cm}$

Step-by-step explanation:

According to universal law of gravitation every object in the universe attracts every other particles that surrounds it with a force which is inversely proportional to the square of their distance of separation & directly proportional to

the product of their masses, given by standard formula.

$A = G \cdot \frac{m_1.m_2}{ {d}^{2} }$

where A,d & G are force of attraction, distance of separation & proportionality constant respectively.

Given:

A1 = 2 units

d1= 5 cm

A2 = 8 units

To find:

Distance of separation when the force of attraction is 8 units d2 = ?

Solution:

Substituting the given values in above at each point,

$A_1 = G \cdot \frac{m_1.m_2}{ {d_1}^{2} } \\ 2 = G \cdot \frac{m_1.m_2}{ {5}^{2} } \\ \sf similarly \: at \: second \: point \: of \: attraction \\ A_2 = G \cdot \frac{m_1.m_2}{ {d_2}^{2} } \\ 8 = G \cdot \frac{m_1.m_2}{ {d_2}^{2} } \\ \sf \: \: dividing \: both \: of \: the \: equation \\ \frac{2}{8} = \frac{G \cdot \frac{m_1.m_2}{ {5}^{2} }}{G \cdot \frac{m_1.m_2}{ {d_2}^{2} } } \\ \sf \: G \: m_1 and \: m_2 \: are \: \: constant \: hence \\ \sf they \: can \: be \: cancelled \: out \\ \frac{2}{8} = \frac{ \frac{1}{ {5}^{2} } }{ \frac{1}{ {d_2}^{2} } } \\ \sf rearranging \: above \: equation \\ \frac{1}{4} = \frac{{d_2}^{2} }{ {5}^{2} } \\ {d_2}^{2} = \frac{ {5}^{2} }{4 } \\ {d_2}^{2} = \frac{25}{4} \\ {d_2}^{2} = 6.25 \\ \sqrt{{d_2}^{2} } = \sqrt{6.25} \\ \boxed{ \sf{d_2} = 2.5 \: cm}$

Answer: the distance between the two objects is 2.5 cm, if the attraction between them is 8 units.

Learn more about universal law of gravitation here brainly.com/question/27244479

Thanks for joining brainly community!

7 0

2 years ago

What is an equation for the line perpendicular to y=-1/8x+6 that passes through (-3,-10)

Ainat [17]

Answer:

y = 8x + 14

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - $\frac{1}{8}$ x + 6 ← is in slope- intercept form

with slope m = - $\frac{1}{8}$

Given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{-\frac{1}{8} }$ = 8 , then

y = 8x + c ← is the partial equation

To find c substitute (- 3, - 10 ) into the partial equation

- 10 = - 24 + c ⇒ c = - 10 + 24 = 14

y = 8x + 14 ← equation of perpendicular line

4 0

2 years ago

Rosa and her friends used 1 2/3 quart of paint on Monday and 1 3/4 quart of pain on Tuesday. How much paint will Rosa and her fr

dolphi86 [110]

Rosa will need 14/5 On Monday she used 12/3 add one to the numerator and denominator 13/4that was what she used on Tuesday add another one to 13/4(denominator and numerator)it will give 14/5 and that is what she will need for wednesday

4 0

2 years ago

You’re assembling desserts with a friend. Together you can make 12 desserts in 5 minutes. How many can you make in 20 minutes?

finlep [7]

Answer:

You both together can make 48 desserts in 20 minutes.

Step-by-step explanation:

It is a proportion.

5 minutes = 12 desserts

20 minutes = x desserts

Now let's form a proportion and find the value of "x"

5/20 = 12/ x

Cross multiplying, we get

5x = 240

Dividing both sides by 5, we get

x = 240/5

x = 48

You together can make 48 desserts in 20 minutes.

Hope this will helpful.

Thank you.

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3 years ago

Marquis begins a career making $53,000 per year. Each year, he is to receive a $1,600 raise. After 25 years, how much total mone

s344n2d4d5 [400]

The answer is $2,120,000,000

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3 years ago