Answer:
1) ΔACD is a right triangle at C
=> sin 32° = AC/15
⇔ AC = sin 32°.15 ≈ 7.9 (cm)
2) ΔABC is a right triangle at C, using Pythagoras theorem, we have:
AB² = AC² + BC²
⇔ AB² = 7.9² + 9.7² = 156.5
⇒ AB = 12.5 (cm)
3) ΔABC is a right triangle at C
=> sin ∠BAC = BC/AB
⇔ sin ∠BAC = 9.7/12.5 = 0.776
⇒ ∠BAC ≈ 50.9°
4) ΔACD is a right triangle at C
=> cos 32° = CD/15
⇔ CD = cos32°.15
⇒ CD ≈ 12.72 (cm)
Step-by-step explanation:
Plug in 4 for x and solve equation like so. c=2
Answer:
The greatest amount of fizzy drink he can make is 480 ml
Step-by-step explanation:
The ingredients for a fizzzy drink is 5 parts lime juice and 3 parts lemonade
Therefore, we have a total portion of 5 + 3 = 8 parts
Since there ar more parts of lime juice per fizzy drink, we calculate based on lime juice
Also dividing the proportions by we get
5/5 part lime juice and 3/5 parts lemonade or
1 part lime juice and 3/5 parts lemonade or
Thus we have 300 ml lime juice and 3/5× 300 ml lemonade or
300 ml lime juice and 180 ml lemonade = 480
The greatest amount of fizzy drink he can make = 480 ml.
Answer:
Step-by-step explanation:
Hello!
The objective of this experiment is to test if a new feed + additive generates a better production of milk in cows. For this, the owner selects 13 cows and randomly separates them into two groups.
Group 1 has 8 cows that receive the new feed + additive.
Group 2 has 5 cows that were fed with the old feed.
After two weeks of feeding the animals with the different feeds, the production of milk of each group was recorded so that they can be compared.
Since you have two separate groups to wich at random two different treatments were applied and later the variable was measured, these two samples/groups are independent and the proper test to compare the population means of the milk production in both groups is a pooled t.
I hope this helps!
Answer:
9
Step-by-step explanation:
You divide 3 by 4 first and you'll get the anser 0.75, then multiply it by 12.
