24.8 sorry I couldn’t find this question sooner
The least common multiple would be 209
<u>Answer</u> : The demonstration is below :)
Step-by-step explanation :
<u>We use Pythagoras' </u><u>theorem </u><u>:</u>
- In the triangle ABC we have :
AB² = AC² - BC² = 15² - 9² = 144 = 12²
- In the triangle ABD we have :
DB² = AD² - AB² = 13² - 12² = 5²
cos(a) = BD/AD = 5/13
If the list is of numbers of students in each music class, and if their median is supposed to be 19, then the blank must represent the number 18. The number must be lower than 20, and must be 19 when averaged with 20. Its value must be ...
2*19 - 20 = 18
_____
Altogether there are 6 numbers, so the median (19) will be the average of the middle two. Three of the numbers are more than 19, so the other three must be less than 19. The lowest of the upper 3 numbers is 20, so 19 must be the average of 20 and the missing number, which must be 18.
38^2x = 109
Apply lg on both sides
lg 38^2x = lg 109
Bring the power down
2x lg 38 = lg 109
2x = lg 109/lg 38
x = (lg 109/lg 38) ÷ 2
= 0.645
Hope it helped!
