Answer: The ladder should be at least 34 feet long (approximately)
Step-by-step explanation: Please refer to the diagram attached for details.
The chimney is depicted as line AB (33 ft). The distance from the base of the chimney to the ladder is depicted as line BC (3 ft). The ladder is placed such that it forms an angle of 75.5 degrees with the floor. Hence the required length of the ladder needed is shown in the diagram as line AC (line b). The resulting diagram now has an opposite (33 ft) and an hypotenuse (b) which is yet unknown.
To calculate line b, we shall apply the trigonometric ratio as follows;
SinC = opposite/hypotenuse
Sin 75.5 = 33/b
By cross multiplication we now have
b = 33/Sin 75.5
b = 33/0.9681
b = 34.087
Therefore the required length of the ladder is approximately 34 feet.
26 for ad and bd 13 I believe
Answer:
If the game with 3 hits is ignored the data becomes:
- 7, 7, 8, 8, 8, 8, 9, 9, 9, 9, 9, 10, 10, 10, 10, 11, 11, 11, 11
a) The mean will increase.
<u>With 3:</u>
- (3 + 7*2 + 8*4 + 9*5 + 10*4 + 11*4)/20 = 8.9
<u>Without 3:</u>
- (7*2 + 8*4 + 9*5 + 10*4 + 11*4)/19 = 9.21
b) The median will remain as is.
- With 3 and without the median is same = 9
Amount of money paid by Jeremy as rent and maintenance of shop per month = $1500
Cost of raw materials and manufacturing per month = $6000
Total cost that Jeremy has to spend per month = (1500 + 6000) dollars
= 7500 dollars
Number of individual chocolates sold = 2400
Number of chocolates sold in boxes = 50 boxes
= (12 * 50) chocolates
= 600 chocolates
Then
Total number of chocolates sold by Jeremy = 2400 + 600
= 3000
Now
Price of each chocolate = 7500/3000 dollars
= 75/30 dollars
= 5/2 dollars
= 2.5 dollars
Price of 600 chocolates = 600 * (5/2) dollars
= 300 * 5 dollars
= 1500 dollars
Price of 12 chocolates = (1500/600) * 12
= 15 * 2
= 30 dollars
Then
We can say that each box of chocolate should be sold at $30. All the loose chocolates should be sold at $2.5 each.