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charle
11 days ago
9

The force of gravity between two objects is given by  Fg = −Gm1m2/r2 , where G is the gravitational constant, m1 and m2 are the

masses of the objects, and r is the distance between the objects' centers. Find the vertical asymptote of the graph of the function and explain its meaning in context.
Mathematics
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3 lines are shown. A line with points M, H, K intersects with a line with points J, H, L at point H. Another line extends from p
AnnZ [12381]

Answer:

The correct choice is B.

Step-by-step explanation:

Given angles are: ∠MHL=(3x+20), ∠KHN=(x+25), and ∠JHN=(x+20).

We need to determine the measure of ∠JHN.

\angle MHL=\angle JHK                         (Rotation of angles)

\angle MHL=\angle JHN+\angle KHN

Substituting the known values.

3x+20=(x+20)+(x+25)

3x+20=2x+45

3x-2x=45-20

x=25

Solving gives x as 25. Therefore, ∠JHN measures

\angle JHN=x+20=25+20=45

45°.

Consequently, the accurate choice is B.

9 0
1 month ago
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John has 48 square centimeter tiles he wants to use to create a mosaic. He wants the mosaic to be rectangular with a length that
Inessa [12570]
I identified the missing equations. They include:
w(w – 2) = 48
w(w + 2) = 48
2w(w – 2) = 48
<span>2w(w + 2) = 48
</span>
The shape of the mosaic will be rectangular, as indicated by the use of width and length terminology.

For a rectangle, area = length * width
As the length exceeds the width by 2, we have length = w + 2.

For the rectangle area, we get = (w + 2) * w.

<span>The appropriate equation to use is: w(w + 2) = 48</span>
7 0
2 months ago
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Gavin and his three friends want to share 1/3 pound of cake equally. Gavin says that each friend will get 1/9 pound of cake. Use
PIT_PIT [12445]
That’s correct. In total, they possess 1/3 pound of cake. To share it equally among three individuals, we need to divide 1/3 by 3, or alternatively, 1/3 multiplied by 1/3 gives us 1/9 pound each.
8 0
2 months ago
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The front of a tent is an equilateral triangle with the ratio of its base, b, to its height, h, given by b over h equal fraction
lawyer [12517]
The triangle in question is equilateral, with each side measuring b.
The height, h, is expressed by
\frac{b}{h} = \frac{2}{\sqrt{3}}

Multiply each side by h
b= (\frac{2}{\sqrt{3}})b
Then, multiply each side by √3/2.
\frac{\sqrt{3} \, b}{2} = h

Answer: h= \frac{\sqrt{3} \, b}{2}
7 0
3 months ago
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