Answer:
X ≈ 117.9°
Step-by-step explanation:
The law of cosines formula is given. Solving it for C, we find ...
C = arccos((a^2 +b^2 -c^2)/(2ab))
where a and b are the sides adjacent to the angle of interest.
Here, we have ...
X = arccos((50^2 +55^2 -90^2)/(2·50·55)) = arccos(-2575/5500)
X ≈ 117.9°
To create the dot plot you will list the data in order and use the given numbers to create the box plot.
8.10, 8.20, 8.30, 8.32, 8.34, 8.50, 8.50, 8.50, 8.55, 8.60, 8.60, 8.65, 8.65, 8.90
Lower extreme: 8.10
Upper extreme: 8.90
Median: 8.50
1st/lower quartile: 8.32
3rd/upper quartile: 8.60
Please see the attached picture for the boxplot.
<span>1/5n -3/4+7/10n (collect the like terms
1\5n+7\10n-3\4
1\5n+7\10n=(get the lcm of the denominators 5,10=10
(10\5=2*1=2)(10\10=1*7=7
2\10n+7\10n=9\10n
answer=9\10n-3\4</span>
Answer:
$5625
Step-by-step explanation:
Given that :
Commission rate upon sale = 3%
Percentage of commision paid as home office expenses = 25%
Sale made = $250,000
Amount kept :
Amount of commission = 0.03 * 250000 = $7500
Amount of commission paid as Home office expenses :
0.25 * 7500 = $1875
Amount kept :
Commission amount - commission expense
$7500 - $1875
= $5625
Answer:
squareroot x
Step-by-step explanation: y' = x + 5y xy' - 2y = x^2 x^2y' + 2xy = cos^2 x xy' + y = squareroot x