"Regular quadrilateral" means it has four sides, and the
sides AND the inside angles are all equal.
-- The one at the upper left is a rhombus. All 4 of its sides
are the same length, and the first time I saw it, I picked it.
But then I remembered that in order to be 'regular', the
inside angles also have to be equal, and in a rhombus,
they're not.
-- The one in the lower right is a square. It has four sides,
they're all equal, and the inside angles are all the same too.
So the square is the only one that does the job for you.
If you would like to know solve the equation 2/9 * b = 1/3 * b - 7, you can calculate this using the following steps:
2/9 * b = 1/3 * b - 7
2/9 * b - 1/3 * b = -7
2/9 * b - 3/9 * b = -7
-1/9 * b = -7
1/9 * b = 7 /*9
b = 7 * 9
b = 63
The correct result would be 63.
<span>Using LAW OF SINES Round to the nearest tenth.
Find BC: triangle is laying on it's side with the point to the right point(A).
B to C= 61 degrees
C to A= 23 cm
A to B= 12 degrees
--------------------
If I interpret this correctly:
Angle A = 61º
Angle C = 12º
--> B = 103º
-------------
Side b = 23 cm
--------------
BC is side a, opposite angle A
--------------
23/sin(103) = a/sin(61)
a = 23*sin(61)/sin(103)
a =~ 20.6 cm
Hope this helped :)</span>
- I’m assuming the expression implies the following:
(1-n)/(n^2 - 1)
The steps goes as follows:
= -(n-1)/(n^2-1) (factored a negative out)
= -(n-1)/[(n+1)(n-1)] (Factored denominator into a difference of squares, but don’t just blindly accept the fact, expand it and you should get the original denominator)
At this point, the (n-1) terms cancel, as you should know: a real number, besides 0, over itself is 1.
= -1/(n+1) , which is the answer
Note: You could also see it as 1/-(n+1) or 1/(-n-1)
Answer: y = 54(1.06)^t
Step-by-step explanation:
It is estimated that the population of bacteria will increase by 6% each hour. This is an exponential growth. The formula for determining exponential growth is expressed as
y = b(1 + r)^ t
Where
y represents the population after t years.
t represents the number of years.
b represents the initial population.
r represents rate of growth.
From the information given,
b = 54
r = 6% = 6/100 = 0.06
Therefore, the formula for the population of bacteria is
y = 54(1 + 0.06)^t
y = 54(1.06)^t