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:
It’s not loading for me,it’s prob my wifi or phone, I’ll try to solve when it loads
Remark
Don't try and do this all at once. Break it down, otherwise you'll have layers and brackets all over the place.
Step One
Find 23/0.3
X = 23/0.3 = 76.7
Step Two
Now Divide by 20
x1 = 76.7 / 20
x1 = 3.83
Step Three
Take this result and put it over 24
x2 = x1/24
x2 = 3.83 / 24
x2 = 0.1597 <<<< Answer
After resuming as the leader of the Ostrogoths, Theodoric in 493 killed his brother became Lord of the land, and refused to submit Italy to the Roman Emperor. According to history, it made no sense to him to continue to submit to an emperor in Rome that was far away and who didn't have any interest in Italy but to siphon it.
<h3>Who was Theodoric?</h3>
Also known as Theodoric the Great, or as Flavius Theodoricus, he was the King of the Ostrogoths.
Under the direction of the Roman Emperor - Zeno, he has invaded Italy and removed the incumbent King - Odoacer.
See the link below for more about Theodoric:
brainly.com/question/19569498
