Answer:
112.5 deg
Step-by-step explanation:
First we find the area of the entire circle.
A = pi * r^2
A = pi * (4 m)^2
A = 16pi m^2
The entire circle has area = 16pi m^2.
The sector has area 5pi m^2.
Now we find the fraction the area of the sector is of the entire circle.
fraction = (5pi m^2)/(16pi m^2) = 5/16 = 0.3125
The full circle has a central angle of 360 deg, the entire circle.
The measure of the central angle of the arc of the sector is the same fraction of the entire circle.
measure of sector angle = 0.3125 * 360 deg = 112.5 deg
Answer:
angle B = 78.46°
Step-by-step explanation:
Use the cosine ratio


Hope this helps
Answer:
Step-by-step explanation:
A suitable table or calculator is needed.
One standard deviation from the mean includes 68.27% of the total, so the number of bottles in the range 20 ± 0.16 ounces will be ...
0.6827·26,000 = 17,750 . . . . . within 20 ± 0.16
__
The number below 1.5 standard deviations below the mean is about 6.68%, so for the given sample size is expected to be ...
0.66799·26,000 = 1737 . . . . . below 19.76
_____
<em>Comment on the first number</em>
The "empirical rule" tells you that 68% of the population is within 1 standard deviation (0.16 ounces) of the mean. When the number involved is expected to be expressed to 5 significant digits, your probability value needs better accuracy than that. To 6 digits, the value is 0.682689, which gives the same "rounded to the nearest integer" value as the one shown above.
Answer: 44%
Step-by-step explanation:
There are 25 squares in the rectangle. This means that the percentage of each square is:
= 1/25 * 100
= 4%
There are 11 shaded squares so the percentage represented is:
= 11 * 4%
= 44%
Answer:
It would be $465 marked up.
Step-by-step explanation:
55% of 300 is 165.
So marked up its 465 and marked down its 135.