To determine first if A Square is a Rhombus.
Let us define a rhombus.
1) Has all four sides equal.
2) Has opposite sides parallel.
3) The diagonals bisect the angles and bisect each other at 90 degrees.
A Square also displays all of these properties.
So a Square is ALWAYS a Rhombus.
But a Rhombus is a not always a Square, except that Rhombus is a Square.
Answer: 320
Step-by-step explanation:
Step 1) Identify Number of options for each set
For the entree, you have 4 options, for the sides, you have 4 options, and for the drink you have 5
Step 2) Find all possible outcomes
4 options for the entree × 4 options for the first side × 4 options for the second side × 5 options for the drink
Step 3) Solve
4 × 4 × 4 × 5 = 320
Answer:
The correct solution is "7.3%".
Step-by-step explanation:
It seems that the given question is incomplete. Find below the attachment of the complete and appropriate query.
According to the question,
The total married couples are,
= 55,550,000
where,
Both native = 79.5%
Both foreign = 13.2%
Now,
The percentage of couple that is one native as well as one foreign will be:
=
= (%)
The equation given is
where a is some number.
We can solve for x by taking the square root of both sides.
Now let's think through what happens for various values of a.
TWO SOLUTIONS
If a is a positive number the above yields two solutions. Take for example:
There will be two solutions (one positive and one negative) as there are two numbers (here -7 and +7) that when multiplied by themselves give 49. That is,
and
. The positive root is called the principal root and the negative root is called the secondary root. This will be the case anytime we take the root of a positive number.
ONE SOLUTION
If a = 0 there is only one solution. That is because
and
. Zero is neither positive nor negative and it has only one root which is 0 itself. So in this case there is only one solution and it is 0.
NO (REAL) SOLUTIONS
If a is negative we would be taking the square root of a negative number. There is no (real) number that when multiplied by itself gives a negative number. Take for example
which gives us
. The square root of -49 is not 7 because (7)(7)=49 which is positive. The square root of -49 is not -7 because (-7)(-7)=49 which is also positive. There is no real number that gives -49 when multiplied by itself. I say "real" numbers because there do exist imaginary/complex numbers but because of the way the questions was asked I imagine you may not know about these yet.
Step-by-step explanation:
3 tan 2x - 4 tan 3x = tan² 3x * tan 2x
3 (tan 2x - tan 3x) = tan 3x + tan² 3x * tan 2x
= tan 3x (1 + tan 3x * tan 2x)
3 (tan 2x - tan 3x)/(1 + tan 3x * tan 2x) = tan 3x
3 * (- tan x) = tan 3x
-3tanx = (3 tan x - tan³ x) / (1 - 3 tan² x)
3 - tan² x = - 3 + 9 tan² x
tan x = + √3 /√5 or - √3/√5