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:
The greatest common factor between 72 and 54 is 18.
Answer:
24000
Step-by-step explanation:
6/5×20000
=24000
His total load is 4*125 + 2*75 + 2*50, which is 750
now, is that 750 95% of 800?
well 95% of anything is 95/100 * anything
thus, 95% of 800 is 95/100 * 800 or 0.95 * 800
now, is that less than more or equals to 750? if it's, then he's golden, because his load is less or equals to 95% of 800, if not, then he needs to cut down some
Data Set 1: (2, 2, 3, 4, 4, 5) Data Set 2: (5, 5, 10, 15, 15, 20) The difference between the interquartile ranges of the data se
vlabodo [156]
I R for data set 1 = 4-2 = 2
I R for data set2 = 15-5 = 10
Required difference is 10-2 = 8
Its 8.
