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trasher [3.6K]
3 years ago
14

Which of the following represents the coordinates of point A?

Mathematics
1 answer:
KiRa [710]3 years ago
8 0
The coordinates of A will be (2P +M)/3
= (2(16, 14) +(1, 4))/3 = (33/3, 32/3) = (11, 32/3)

The appropriate choice is
  (C) (11, 32/3)

_____
You will note that the coordinates of A are the weighted average of the coordinates of the end points. The weighting is the reverse of the ratio of the line segments. That is, the point adjacent to the shortest segment gets the highest weighting. (This is typical of the solution to "mixture" problems.)
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3) A regulation basketball has a diameter of 9.4 inches. What is the volume of the ball?
Marrrta [24]

Answer:

Volume = 434.89276543154 inch³

Step-by-step explanation:

volume = 4/3πr³

where r is the radius

r = 9.4/2  

r = 4.7³

Volume = 4/3×π×4.73³

Volume = 434.89276543154 inch³

7 0
2 years ago
Azul is making space for the pool table that will go in the game room. The scale drawing shows the length of the table as 2 inch
tensa zangetsu [6.8K]
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8 0
3 years ago
Find the distance from the line passing through points P(0,0,0) and Q(9,0,0) to the line passing through points R(3,-2,4) and S(
Alika [10]

Answer:

Step-by-step explanation:

Let the I line be PQ and II line be RS

Direction ratios  of PQ = (9,0,0) and direction ratios of RS = (0, -4, -12)

Distance between skew lines

=(a1-a2).(b1xb2)/|b1xb2|

where a1 and a2 are points

Here a1-a2 = (-3,2,-4) taking P and Q as points.

b1 = (9,0,0) and b2 = (0,-4,-12)

Shortest Distance = (a2-a1).(b1xb2)/|b1xb2|

De\left[\begin{array}{ccc}-3&2&-4\\9&0&0\\0&-4&-12\end{array}\right]

Numerator = -9(-24-16)=360

Denominator vector = i(0)-j(-108)+k(-36)

Modulus  of vector =\sqrt{108^2+36^2} =36\sqrt{10}

Hence Shortest distance = \sqrt{10}

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What is the product of 0.35 and 0.46? (with solution please)
Ghella [55]

Step-by-step explanation:

Hope this helps you ☺️☺️☺️

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