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:
Answer: Adams heart Beats 1,440 more times than Blake’s in 120 minutes.
Step-by-step explanation:
Adam: 74 x 120 = 8,880
Blake: 62 x 120 = 7,440
8,880 - 7,440 = 1,440
With this problem, subtract 7 from both sides to get
17< y
So any number that is greater than 17 is a value that would make it true....19, 24, 35, 100, 39,1028