Answer:
126 people
Step-by-step explanation:
Given that, ratio of people who preferred tea to those who preferred coffee = 9:5
Let number of people who preferred coffee = x
Number of people who preferred tea = x + 36
Total number of people in survey = x + (x+36)
Ratio of people who preferred tea to those who preferred coffee = (x + 36)/x = 9/5
Cross multiply to solve for x
5(x + 36) = x(9)
5x + 180 = 9x
Subtract 5x from both sides
180 = 9x - 5x
180 = 4x
Divide both sides by 4
180/4 = x
45 = x
x = 45
<em>Number of people who preferred coffee = x = 45</em>
<em>Number of people who preferred tea = x + 36 = 45 + 36 = 81</em>
<em>Total number of people in the survey = x + (x + 36) = 45 + 81 = 126 people</em>
Answer:
same,different
Step-by-step explanation:
1) | x - 2| + 3 = 7
2) |x - 2| = 7 - 3
3) |x - 2| = 4
4) x - 2 = 4 and x - 2 = - 4. Then the answer is x - 2 = - 4
What line? did you mean to add a picture?
The area of the entire sector of DEF = 60 / 360 * PI * radius^2
sector area = 1 / 6 * 3.14159265... * 20^2
sector area =
<span>
<span>
<span>
209.4395102393
</span>
</span>
</span>
segment area = sector area - triangle DEF Area
triangle DEF Area = (1/2) * 20 * sine 60 * 20
triangle DEF Area = (1/2) * 0.86603 * 400
triangle DEF Area = <span><span><span>(1/2) * 346.412
</span>
</span>
</span>
triangle DEF Area =
<span>
<span>
<span>
173.206
</span>
</span>
</span>
segment area = <span>
<span>
209.4395102393
</span>
-173.206
</span>
segment area =
<span>
<span>
<span>
36.2335102393
</span>
</span>
</span>
segment area =
36.23 m
Source:
http://www.1728.org/circsect.htm
