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Answer:
Total amount charged by Happy Paws = 22 + 4.50h
Total amount charged by Woof Watchers = 11 + 5.75h
3.2 hours
Step-by-step explanation:
Total amount charged by Happy Paws = 22 + 4.50h
Total amount charged by Woof Watchers = 11 + 5.75h
22 + 4.50h = 11 + 5.75h
Collect like terms
22 + 11 = 4.5h + 5.75h
33 = 10.25h
Solve for h
33/10.25 = h
h = 3.22
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
Answer:
x = 4 + sqrt(5) or x = 4 - sqrt(5)
Step-by-step explanation:
Solve for x:
(x - 4)^2 = 5
Take the square root of both sides:
x - 4 = sqrt(5) or x - 4 = -sqrt(5)
Add 4 to both sides:
x = 4 + sqrt(5) or x - 4 = -sqrt(5)
Add 4 to both sides:
Answer: x = 4 + sqrt(5) or x = 4 - sqrt(5)
You need to d to one side of the equation by itself and them use PEMDAS to solve your answer
