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marishachu [46]
3 years ago
14

Calculate the length of CD give your answer to 3 significant figures.

Mathematics
1 answer:
Westkost [7]3 years ago
5 0

12.7  
Using the Pythagorean theorem, you can easily calculate the length of BC.
So: 
BC = sqrt(12^2 - 6^2) = sqrt(144 - 36) = sqrt(108) = 10.39230485  
Now consider triangle BCD. You know all three angles and one side. Using the law of sines you know that ratio of the sine of each angle over the opposite side is constant. So: 
BC/sin(55) = CD/sin(90) 
BC/sin(55) = CD/sin(90) 
sin(90)BC/sin(55) = CD 
1*BC/sin(55) = CD 
BC/sin(55) = CD 
10.39230485/0.819152044 = CD 
12.68666167 = CD 
12.7 = CD
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Answer:

<u>2.25 Miles</u> is how many miles Monica can walk <u>in one hour</u>.

Step-by-step explanation:

You take 3/2 which is 1.5 in decimal form then take the 2 out of 2/3 divide 1.5 by 2, you get 0.75 then you add 0.75 to 1.5 and <u>you get 2.25 which is how many miles she walks in one hour.</u>

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