Answer:
4
Step-by-step explanation:
Sin(30) = LJ/8sqrt(3)
Sin 30 = ½
LJ = 4sqrt(2)
LM = JM = x
x² + x² = (4sqrt(2))²
2x² = 32
x² = 16
x = 4
Answer: <em><u>C. the base period amount.</u></em>
<u><em>Explanation: </em></u>While implementing a horizontal analysis on a given income statement, we compute a percentage change in any individual item by dividing the dollar amount of change from base to current time period with <u><em>the base period amount.</em></u>
i.e. % Change in Individual item = 
<u><em>Therefore, the correct option in this case is (c)</em></u>
picture unclear because it is to find the sum of consecutive numbers 1 to 100, you multiply the number of sets (50) by the sum of each set (101): 101(50)=5050.{\displaystyle 101(50)=5050.} So, the sum of consecutive number 1 through 100 is 5,050 .
Answer:
<h2><em>
$23.5</em></h2>
Step-by-step explanation:
Gene is playing a game with a bag of marbles. If 3 of the marbles are blue, 4 are green, and 7 are yellow and awarded prices for the marbles are $2 green $0.5 yellow $4 blue, the expected payout for Gens game is expressed as shown;
If a blue marble costs $4, 3 blue marbles will cost 3*$4 = $12
If a green marble costs $2, 4 green marbles will cost 4*$2 = $8.0
If a yellow marble costs $0.5, 7 yellow marbles will cost 7*$0.5 = $3.5
Total payout for Gene's game will be the equivalent to $12+ $8 + $3.5 = $23.5.
<em>Hence Gene expected cost will be $21.5</em>
