Answer
The equation simplified is: r=x+1
972=4/3πr^3
729=πr^3
232.16~ r^3
r~ 6 feet, so the radius is about 6 feet. Hope it help!
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:
She will not meet her goal.
Step-by-step explanation:
There are 5 weekdays, so she will run for 0.5 * 5 = 2.5 hours over the weekdays
There are 2 weekends, so she will run for 2 * 1 = 2 hours over the weekend.
In total, this means she will run for 4.5 hours.
4.5 hours * 550 calories per hour = 2475 calories.
She will not meet her goal.
