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Pani-rosa [81]
3 years ago
15

Two buckets of paint each have a mass of 9 kg. If the gravitational force between them is 6.0x10 to the power of minus 10, how f

ar apart are they?

Mathematics
1 answer:
Sphinxa [80]3 years ago
5 0

Gravitational force = (gravity x mass1x mass2)/distance^2

6.0x10^-10 = (6.67x10^-11 x 9 x 9)/d^2

D = sqrt(6.0x10^-10/6.67x10^-11 x81)

D = 3.0 m

The answer is B.3.0 m

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The ceiling of Stacy's living room is a square that is 25 ft long on each side. Stacy
Brut [27]

Answer:

A. 35 ft.

B. 35 ft

Step-by-step explanation:

Please see attached photo for diagram.

A. Determination of the diagonal using pythagorean theorem.

A square has all sides equal. Thus, the diagonal of the square can be obtained as follow:

Ist leg (L₁) = 25 ft

2nd leg (L₂) = 25 ft

Diagonal (d) =?

d² = L₁² + L₂²

d² = 25² + 25²

d² = 625 + 625

d² = 1250

Take the square root of both side

d = √1250

d = 35 ft

B. Determination of the diagonal using trigonometry.

Since all the sides in a square are equal, the angle between each leg will be 90°. Thus, the diagonal will bisect the angle between the two leg equally i.e

Angle between Diagonal and each leg = 90/2 = 45°

Finally, we shall determine the length of the diagonal. This can be obtained as follow:

Angle θ = 45°

Opposite = 25 ft

Hypothenus = d

Sine θ = Opposite / Hypothenus

Sine 45 = 25 / d

0.7071 = 25 / d

Cross multiply

0.7071 × d = 25

Divide both side by 0.7071

d = 25 / 0.7071

d = 35 ft

6 0
3 years ago
Please answer fast on a time test<br><br><br><br><br> 19
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Answer:

The correct answer is B. 2/3 < 3/4.

7 0
3 years ago
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Patrick paid $4.00 for 5 organic peaches. How much did he pay per peach
leonid [27]

Answer:

80 cents

Step-by-step explanation:

divide the price by 5

4/5=.8

6 0
3 years ago
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$49.95 CD player; 5% tax
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Answer:

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Step-by-step explanation:

4 0
3 years ago
Y=8-2x when x=8 the value of y
Lera25 [3.4K]

Answer:

-8

Step-by-step explanation:

Given that x and y are two variables.  they are related by the function

y =8-2x

Since x and y are related, given one value we can find the other using this equation.

In our question, given that x =8

Substitute x value in the equation

y = 8-2x

y =8-2(8) = -8

Hence answer is -8:


Verify:  We verify by putting -8 for y and check whether x =8

-8=8-2x

Or 2x = 16

x =8

Verified

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