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3 years ago

The figure below has a volume of 60 cubic units. How many more cubes will it take to fill the figure?

Mathematics

1 answer:

MariettaO [177]3 years ago

6 0

55 cubic units because
- each cube is equal to 1 cubic unit
- the total volume is 60 cubic units
- 5 cubes are already inside

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What are the coordinates of the point that is 1/6 of the way from a(14,-1) b(-4,23)

Nimfa-mama [501]

Answer:

$\text{The coordinates of point is }P(a,b)=(\frac{80}{7}, \frac{17}{7})$

Step-by-step explanation:

$\text{Given the coordinates of point that is }\frac{1}{6}\text{ of the way from a(14, -1), b(-4, 23)}$

$\text{If a point }P(a, b)\text{ divides the line joining two points }(x_1,y_1)\text{ and }(x_2, y_2)\\ \text{ in the ratio m:n internally, then the coordinates of point P are given by}$

$P(a,b)=(\frac{mx_2+nx_1}{m+n}, \frac{my_2+ny_1}{m+n})$

The two points given are a(14, -1), b(-4, 23) and ratio m:n=1:6

$P(a,b)=(\frac{1(-4)+6(14)}{1+6}, \frac{1(23)+6(-1)}{1+6})$

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

The dimensions of a square are altered so that 8 inches is added to one side while 3 inches is subtracted from the other. The ar

Alex_Xolod [135]

Answer

Find out the original side length of the square .

To prove

Let us assume that the original length of the square be x.

Formula

$Area\ of\ rectangle = Length\times Breadth$

As given

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Length becomes = x + 8

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Put in the formula

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son4ous [18]

Given two numbers x and y such that:

x + y = 12 ... (1)

<span>two numbers will maximize the product g</span>

from equation (1)

y = 12 - x

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