we know that
The measurement of <u>the external angle</u> is the semi-difference of the arcs it includes.
In this problem
![21\°=\frac{1}{2}[arc\ RU-arc\ SU]](https://tex.z-dn.net/?f=21%5C%C2%B0%3D%5Cfrac%7B1%7D%7B2%7D%5Barc%5C%20RU-arc%5C%20SU%5D)
Solve for the measure of arc SU
![42\°=[arc\ RU-arc\ SU]](https://tex.z-dn.net/?f=42%5C%C2%B0%3D%5Barc%5C%20RU-arc%5C%20SU%5D)
therefore
the answer is
The measure of the arc SU is 
It is hard to say how Faelyn's work shows the polynomial is prime, but it is.
There are no factors of 6*4 = 24 that add to -5, so the polynomial cannot be factored using real numbers.
_____
The expression of suggestion 2 is a different polynomial than the one Faelyn is factoring.
Taking a factor of 2x out of the first group does not help it match the factoring of the second group.
Dividing one or the other of the groups by -1 will not make the binomials the same.
We have the expression:
3x(x-12x) + 3x^2 - 2(x-2)^2
First, we will expand the power 2 bracket as follows:
3x(x-12x) + 3x^2 - 2(x^2 - 4x +4)
Then, we will get rid of the brackets as follows:
3x^2 - 36x^2 + 3x^2 - 2x^2 + 8x - 8
Now, we will gather the like terms and add them as follows:
-32 x^2 + 8x - 8
We can take the 8 as a common factor:
8 ( -4x^2 + x -1)
Answer:
$30
Step-by-step explanation:
Given data
Origianal price= $40
discount= 50%
Tax= 10%
Let us find the amount of the discount and tax
Discount
=50/100*40
=0.5*40
=$20
Tax
=10/100*40
=0.1*40
=$4
Hence the total cost is
=40-20+10
=$30
Answer: 289 units
Step-by-step explanation:
Given the following :
Inventory (I) = 180
Lead time (L) = 7 days
Review time (T) = 2 weeks = 14 days
Demand (D) = 20
Standard deviation (σ) = 5
Zscore for 95% probability = 1.645
Units to be ordered :
D(T + L) + z(σT+L)
(σT+L) = √(T + L)σ²
= √(14 + 7)5²
= √(21)25
= 22.9
D(T + L) + z(σT+L) - I
20(14 + 7) + 1.645(22.9 + 7) - I
= 420 + 49.1855 - 180
= 289.1855
= 289 quantities
