Answer:
265.1 units²
Step-by-step explanation:
Area of circle:
3.14 × 12²
452.16
Side of the triangle:
s² = 12² + 12² - 2(12)(12)cos(120)
s² = 432
s = 12sqrt(3)
Area of triangle:
½ × s × s × sin(60)
½ × 432 × sqrt(3)/2
187.0614872
Shaded area:
452.16 - 187.0614872
265.0985128 units²
Answer:
The answer is 38.
Step-by-step explanation:
You have to substitue c = -4 into the expression :
Let c = -4,
<span> Circumference of
the tire:</span>
<span> PI x diameter =
3.14 x 26 = 81.6814 Round to 81.68</span>
Speed of the car in inches per minute:
46*5280*12/60 = 48576 inches per minute
48576/81.68 = 594.711
<span> Round to 594.71
revolutions per minute</span>
Answer: B. 264
Step-by-step explanation:
Formula to calculate the sample size 'n' , if the prior estimate of the population proportion (p) is available:
, where z = Critical z-value corresponds to the given confidence interval
E= margin of error
Let p be the population proportion of clear days.
As per given , we have
Prior sample size : n= 150
Number of clear days in that sample = 117
Prior estimate of the population proportion of clear days =
E= 0.05
The critical z-value corresponding to 95% confidence interval = z*= 1.95 (By z-table)
Then, the required sample size will be :
Simplify ,
Hence, the sample size necessary to construct this interval =264
Thus the correct option is B. 264
Answer:
9
Step-by-step explanation:
900%=900/100=9