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vekshin1
3 years ago
10

M is the centroid (center of gravity) of △ABC, line k goes thru M and intersects AB and AC . The distances of the vertices B and

C from line k are 17 and 13 respectively. Find the distance of the vertex A from line k.
Mathematics
1 answer:
lana [24]3 years ago
5 0

Answer:

  30

Step-by-step explanation:

The midpoint of BC will be a distance from line k that is the average of the distances of B and C: (17+13)/2 = 15. Call that midpoint P. We know distance MP is half of distance MA. This same relationship will hold with respect to the distances from P and A to any line through M. That is, the distance from line k (through M) is twice the distance from P to line k: 30 units.

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=2(3.14)x16x56+2(3.14) (16)²

= 7238.23

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Which type of construction is used to construct a triangles point of balance?
lisov135 [29]
I'm pretty sure its GSP.
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Please help!! I have been stuck on this question for a while
denis23 [38]

Answer:

180\ in.^2

Step-by-step explanation:

The area of a rectangle can is defined as A = wl where w is the width and l is the length. The width in this case is 12 and the length is 15. Also it doesn't really matter what order you put it in. This gives you an area of (15\ in.) (12\ in.) = 180\ in.^2

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1 year ago
Which algebraic expression is equivalent to the expression below? 25/4(5x-4/5)+29
andre [41]

Notice* No options are provided, so I will solve the expression.

Answer:

\frac{125x+96}{4}

Step-by-step explanation:

Step 1: Simplify \frac{4}{5}

Step 2: Rewriting the whole as an Equivalent Fraction

 Subtracting a fraction from a whole

Rewrite the whole as a fraction using  5  as the denominator :

5x = 5x/1 = 5x * 5/5

<em>Equivalent fraction</em> : The fraction thus generated looks different but has the same value as the whole

<em>Common denominator </em>: The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

dding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

5x • 5 - (4)     25x - 4

--------------    =    ---------

5                        5  

Step 3: Simplify 25/4

Rewriting the whole as an Equivalent Fraction :

Adding a whole to a fraction

Rewrite the whole as a fraction using  4  as the denominator :

29 = 29/1 = 29 * 4/4

Adding fractions that have a common denominator :

Adding up the two equivalent fractions

5 • (25x-4) + 29 • 4     125x + 96

---------------------------  =     -----------

4                                             4    

Final result :

 125x + 96

 —————————

     4    

___________

Terms and topics:

  • Dividing exponents
  • Polynomial roots
  • Nonlinear equations
  • Equations which are reducible to quadratic
  • Reducing fractions to lowest terms
7 0
2 years ago
Aliyah wants to estimate the value of the quotient of 5. 68 times 10 Superscript negative 3 and 8. 54 times 10 Superscript negat
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Answer:

b

Step-by-step explanation:

4 0
2 years ago
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