Answer:
12.686cm
Step-by-step explanation:
By using pythagoras, we can find CB.
We know that 
Therefore, 
(it has to be positive since it is distance)
now we look at triangle BCD and use SOH CAH TOA.

To find the probability that she develops lung cancer given that she smokes, multiply the two probabilities together:
4/9 x 3/10 = (4 * 3) / (9*10) = 12/90 = 2/15
Answer: C
Step-by-step explanation: Hope it helped :)
Answer: 2*3*5*7
Step-by-step explanation:
Given:
The ratio of red and blue cubes is 4:7.
After adding 10 more red cubes the ratio of red and blue cubes is 6:7.
To find:
The number of blue cubes.
Solution:
The ratio of red and blue cubes is 4:7.
Let the number of red and blue cubes be 4x and 7x respectively.
After adding 10 more red cubes.
Number of red cubes = 4x+10
Then, the ratio of red and blue cubes is 6:7.





Divide both sides by 14.

Now,
Number of blue cubes in the bag is

Therefore, the number of blue cubes is 35.