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stich3 [128]
3 years ago
13

When x is 2, y is 4, p is 0.5, and m is 2. If x varies directly with the product of p and m and inversely with y, which equation

models the situation?
xpmy = 8
xy/pm = 8
xpm/y = 0.5
x/pmy = 0.5

Anyone know the answer to this?
Mathematics
1 answer:
erastova [34]3 years ago
7 0
I think is xpm/y=0.5
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Point G is the centroid of the right △ABC with m∠C=90° and m∠B=30°. Find AG if CG=4 ft.
o-na [289]

Answer: \text{Length of AG=}\frac{2\sqrt{63}}{3}

Explanation:  

Please follow the diagram in attachment.  

As we know median from vertex C to hypotenuse is CM  

\therefore CM=\frac{1}{2}AB

We are given length of CG=4  

Median divide by centroid 2:1  

CG:GM=2:1  

Where, CG=4

\therefore GM=2 ft

Length of CM=4+2= 6 ft  

\therefore CM=\frac{1}{2}AB\Rightarrow AB=12

In \triangle ABC, \angle C=90^0

Using trigonometry ratio identities  

AC=AB\sin 30^0\Rightarrow AC=6 ft

BC=AB\cos 30^0\Rightarrow BC=6\sqrt{3} ft  

CN=\frac{1}{2}BC\Rightarrow CN=3\sqrt{3} ft

In \triangle CAN, \angle C=90^0  

Using pythagoreous theorem  

AN=\sqrt{6^2+(3\sqrt{3})^2\Rightarrow \sqrt{63}

Length of AG=2/3 AN

\text{Length of AG=}\frac{2\sqrt{63}}{3} ft


5 0
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A bedroom wall is 12 feet long. A decorator places the center of a square painting that has side lengths of 3 feet in the exact
antiseptic1488 [7]

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olya-2409 [2.1K]

Answer:

answer is -5

Step-by-step explanation:

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The alphabet game costs $.25 to play. Before the game, 26 slips of paper with a different letter of the alphabet on it are put i
iragen [17]

Answer: 25/676

Step-by-step explanation:

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In other to win, one must draw must be either (A, E, I, O or U)

Therefore required drws to win = 5

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P(win) = Total required outcome / Total possible outcome

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Second draw:

P(win) = Total required outcome / Total possible outcome

P(win) = 5/26

Therefore,

P(winning twice) = (5/26) × (5/26) = 25/676

3 0
3 years ago
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ch4aika [34]

Answer:

X=67

Step-by-step explanation:

x-22+135=180 (180 because that line is a straight line that was intersected and a straight line has a degree of 180)

x-22+135=180

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x=67 (combine like terms again)

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