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3 years ago

4. Ideal amount of children

Mathematics

1 answer:

Vaselesa [24]3 years ago

3 0

Answer:

Step-by-step explanation:

Formula:

$\frac{sum of all numbers added together}{total amount of numbers}$

$\frac{21}{7}$ = 3

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James has a board that is 3/4 foot long. He wants to cut the board into pieces that are each 1/8 foot long. How many pieces can

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Answer: 6

There are 2/8 per every 1/4. This means that a 3/4 foot long board is equivalent to a 6/8 foot long board, and can therefor be cut into 6 1/8 foot segments.

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3 years ago

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12.92 divided by 3.4

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3.8 is the answer for this question

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What is the slope of the line through (-9,6) and (3,-9)

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3 years ago

What is (3x^3)^3 in factored form? Help

Sergio [31]

Answer:

This can't really be factored, but it can be expanded slightly.

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3 years ago

Given the set of vertices, determine whether parallelogram ABCD is a rhombus, rectangle or square. List all that apply. A(7,-4),

Sloan [31]

Given:

Vertices of a parallelogram ABCD are A(7,-4), B(-1,-4), C(-1,-12), D(7, -12).

To find:

Whether the parallelogram ABCD is a rhombus, rectangle or square.

Solution:

Distance formula:

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Using distance formula, we get

$AB=\sqrt{(-4-(-4))^2+(-1-7)^2}$

$AB=\sqrt{(-4+4)^2+(-8)^2}$

$AB=\sqrt{0+64}$

$AB=8$

Similarly,

$BC=\sqrt{(-1-(-1))^2+(12-(-4))^2}=8$

$CD=\sqrt{(7-(-1))^2+(-12-(-12))^2}=8$

$AD=\sqrt{(7-7)^2+(-12-(-4))^2}=8$

All sides of parallelogram are equal.

$AC=\sqrt{(-1-7)^2+(-12-(-4))^2}=8\sqrt{2}$

$BD=\sqrt{(7-(-1))^2+(-12-(-4))^2}=8\sqrt{2}$

Both diagonals are equal.

Since, all sides are equal and both diagonals are equal, therefore, the parallelogram ABCD is a square.

We know that, a square is special case of rectangles and rhombus.

So, parallelogram ABCD is a rhombus, rectangle or square. Therefore, the correct option is c.

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3 years ago