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Algebra

The use of letters to substitute unknown numbers to form an equation. Solve the equation to get the unknown number using different methods such as simultaneous equations and more.

185,634 Questions

Does kite have rotational symmetry?

Answer

No. If the shape has rotational symmetry, then it should be able to match itself when rotated a certain number of degrees that IS NOT 360 degrees.

Why?

Well, if we stop and think about it, all shapes can match themselves when being rotated 360 degrees (a full circle.) If 360 degrees was valid and qualified for rotational symmetry, then any shape would have rotational symmetry. Then this classification of rotational symmetry would have no real conclusion.

The only way a kite can match itself when rotating is if you rotate it 360 degrees. Therefore, it does not have rotational symmetry.

What 5 numbers have a mode of 6 and a median of 8?

6, 6, 8, 9 and 5436897

6, 6, 8, 9 and 5436897

6, 6, 8, 9 and 5436897

6, 6, 8, 9 and 5436897

What is 5ab squared?

(5ab)2 = 25a2b2 (provided a and b are elements of a commutative group).

Is it true or false that the absolute value of a number always a positive number?

It is true. Look at absolute value as a number's distance from zero, and distance can't be negative. Take, say, -7. -7 is 7 away from 0, so the absolute value of -7 is 7.

What is the volume of a cube if one edge is 10 cm long?

The volume of a cube is the length of the edge of an edge cubed.

i.e. V = L3 where V = volume and L = length of an edge.

So for a cube with edges 10 cm long, the volume is:

V = (10 cm)3

V = 1,000 cm3

What is the area of a square of side 0.06m?

A square with a side length of 0.06 meters has an area of 0.0036 square meters.

What is 0.166666667 in fraction form?

1

6

Explanation:

y = 0.16666.

Multiply by 10: 10y = 1.66666.. = 1 + 0.6666...=

1

2

3

=

5

3

.

Divide by 10:

y

=

5

3

×

1

10

=

5

30

=

1

6

.

What is the inverse of the square root of 36?

The square of the square root of 36.

Which can also be stated as the square of 6.

What is the diameter of a square if it is 15cm x 15cm?

There are no diameters for squares; let us just make that clear. Diameter only applies for circles (Line that goes through centre of circle and touches edges). However, diameters in squares would be simply length(but went through centre). Therefore it could be anywhere between 15-~21.2132. (Straight length/width or diagonal or anywhere else.)

Hope this helps :D

(I'm Australian-centre, not center)

How many permutations are in the word peak?

The first letter of the perm can be any of the 4, the second any of the remaining 3, the third either of the remaining 2. There are thus 4 x 3 x 2 ie 24 permutations.

How do you find a point of a linear function?

Given a linear function in n variables, you need to select values for (n-1) of the variables. Solve the resulting function for the nth variable. Then the ordered n-tuple represents the coordinates, in n-dimensional space, of a point that is on the linear function.

Selecting different sets of (n-1) variables, and different values will result in different solutions. Together, these will from a line in n-dimensional space.