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montanolumpuy
30.06.2019 •
Mathematics
Ascientist enlarged a circular portion of a microscope slide to make it easier to count the number of bacteria present in the sample.he divided the circle into 5 sectors as shown below and plans to count bacteria only in the shaded sector. what is the area of the shaded sector to the nearest tenth of a square centimeter a.141.4 b.212.1 c.377.0 d.424.1
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Ответ:
Option B.![212.1\ cm^{2}](/tpl/images/0034/4205/c6589.png)
Step-by-step explanation:
step 1
Find the central angle of the shaded sector
Remember that the diameter divide the circle into two equal parts ( 180 degrees each part)
so
Let
x -----> the measure of the central angle of the shaded sector
∠x+72°=180°
∠x=180°-72°=108°
step 2
Find the area of the circle
The area of the circle is
we have
assume
substitute
step 3
Find the area of the shaded sector
Remember that the area of the complete circle subtends a central angle of 360 degrees
so
by proportion find the area of a sector by a central angle of 108 degrees
Ответ:
5/6 assuming it is a dice
Step-by-step explanation:
a dice has 6 spaces and if the star is on one side there is only a 1/6 chance she will get it so 5/6 probability that she won't land on the star(this also works on other ratios 1/10-9/10 just in case it isn't a dice