Minor Arc AC = 110 degrees (given)
As indicated in the hints,
OA=OC => OAC=OCA=(180-110)/2 = 35
Similarly,
OAB=OBA=(48-35)=13
=>
OBC=OCB=(180-35-35-13-13)/2=(180-96)/2=84/2=42
=>
Angle B = 13+42 = 55 degrees
Check:
55+55+35+35+13+13 = 180 degrees (angles of a triangle) ok.
Answer:
The margin of error at 90% confidence is 0.5133 gram.
Step-by-step explanation:
Margin of error (E) = (critical value × sample standard deviation) ÷ sqrt(n)
sample standard deviation = 1.5 grams
confidence level = 90% = 0.9
significance level = 1 - C = 1 - 0.9 = 0.1 = 10%
n (sample size) = 25
degree of freedom = n - 1 = 25 - 1 = 24
critical value (t) corresponding to 24 degrees of freedom and 10% significance level is 1.711
E = (1.711×1.5) ÷ sqrt(25) = 2.5665 ÷ 5 = 0.5133 gram
10% of 60 is 6. It’s very simple
Answer:
481.50$
Step-by-step explanation:
10% of 500$= 10/100x500= 50$
500$- the 10% that was taken out=500$-50$= 450$
The sales tax = 7% of 450$= 7/100x 450$= 31.50$
450$ + added sales tax= 450$+ 31.50$= 481.50$
25. The product of 8 and the difference between a number and 9 is 96. What is the number?
The answer is 13.
So, 8*(x-9)=96
8*12=96
So, what number minus 9=12? 13.
26. When 12 is added to half the sum of a number and 8, the result is 40. What is the number?
The answer is 40.
12+ (x+8)=40
12 +28=40, so what plus 8 =28? 20.
20 times 2 is 40.
27. The difference between a number and 5, when multiplied by 3, is 36. What is the number?
The answer <em />is 17.
(x-5)*3=36
12*3=36, so what minus 5=12? 17.
