Answer:
5,009.206
Step-by-step explanation:
Answer:
- 1.25 hours or 1 hour and 15 minutes
Step-by-step explanation:
<em>Question</em>
- <em>Lisa lit a candle with a height of 8 inches. When lit, this candle loses 10% of its original height every hour. </em>
- <em>Please complete the following sentence by writing the number in the blank.
Until the candle has been burning for at least _______ hours, the height of Jennifer's candle will be more than 7 inches.</em>
<u>Candle looses 10% of 8 inches, it equals:</u>
- 8*0.1 = 0.8 inches an hour
<u>Let x be required time, then:</u>
- 8 - 0.8x > 7
- 0.8x < 8 - 7
- 0.8x < 1
- x < 1/0.8
- x < 1.25
- or 1 hour 15 minutes
Answer:
a = 127°
Step-by-step explanation:
The 3 angles lie on a straight line and have a sum of 180°, that is
15° + a + 38° = 180°
53° + a = 180° ( subtract 53° from both sides )
a = 127°
Answer:
= 18 ( 3 + 2(\sqrt{3} + \sqrt{2} ))
Step-by-step explanation:
![6(\sqrt{36} +\sqrt{27}) + 6(\sqrt{27} +\sqrt{18}) + 6(\sqrt{18} + \sqrt{9} )\\= 6( {6} +\sqrt{9*3}) + 6( \sqrt{9*3} +\sqrt{9*2}) + 6(\sqrt{9*2} + 3 )\\= 6( {6} +3\sqrt{3}) + 6(3\sqrt{3} +3\sqrt{2}) + 6(3\sqrt{2} + 3 )\\=36 + 18\sqrt{3} + 18\sqrt{3} + 18\sqrt{2}+ 18\sqrt{2} + 18\\= 36+18 +18( \sqrt{3}+ \sqrt{3} +\sqrt{2} + \sqrt{2})\\= 54 + 18 (2\sqrt{3} +2\sqrt{2})\\=54 + 36\sqrt{3} + 36\sqrt{2}\\= 18 ( 3 + 2(\sqrt{3} + \sqrt{2} ))](https://tex.z-dn.net/?f=6%28%5Csqrt%7B36%7D%20%2B%5Csqrt%7B27%7D%29%20%2B%206%28%5Csqrt%7B27%7D%20%2B%5Csqrt%7B18%7D%29%20%2B%206%28%5Csqrt%7B18%7D%20%2B%20%5Csqrt%7B9%7D%20%29%5C%5C%3D%206%28%20%7B6%7D%20%2B%5Csqrt%7B9%2A3%7D%29%20%2B%206%28%20%5Csqrt%7B9%2A3%7D%20%20%2B%5Csqrt%7B9%2A2%7D%29%20%2B%206%28%5Csqrt%7B9%2A2%7D%20%2B%203%20%29%5C%5C%3D%206%28%20%7B6%7D%20%2B3%5Csqrt%7B3%7D%29%20%2B%206%283%5Csqrt%7B3%7D%20%2B3%5Csqrt%7B2%7D%29%20%2B%206%283%5Csqrt%7B2%7D%20%2B%203%20%29%5C%5C%3D36%20%2B%2018%5Csqrt%7B3%7D%20%2B%2018%5Csqrt%7B3%7D%20%2B%2018%5Csqrt%7B2%7D%2B%2018%5Csqrt%7B2%7D%20%2B%2018%5C%5C%3D%2036%2B18%20%20%2B18%28%20%5Csqrt%7B3%7D%2B%20%5Csqrt%7B3%7D%20%2B%5Csqrt%7B2%7D%20%2B%20%5Csqrt%7B2%7D%29%5C%5C%3D%2054%20%2B%2018%20%282%5Csqrt%7B3%7D%20%2B2%5Csqrt%7B2%7D%29%5C%5C%3D54%20%2B%2036%5Csqrt%7B3%7D%20%20%2B%2036%5Csqrt%7B2%7D%5C%5C%3D%2018%20%28%203%20%2B%202%28%5Csqrt%7B3%7D%20%20%2B%20%5Csqrt%7B2%7D%20%29%29)
Answer:
I already did
Step-by-step explanation: