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padilas [110]
2 years ago
15

Help me please. I dont get this.

Mathematics
1 answer:
SpyIntel [72]2 years ago
8 0

Answer:

6. 19 candles

7. 6 pills

Step-by-step explanation:

6.  If a particular candle burns for 2 3/4 hours (=2.75) and you want to use similar candles to burn one at a time over 10 days for 5 hours each day, find the total number of hours:  10 x 5 = 50 hours.  Then, divide by the amount of time it takes for one candle to burn: 10÷2.75 = 18.18.  Since the answer is a decimal, you will need to round to the next whole number = 19 candles.

7.  Given the rules that no more than three pills may be taken in a four-hour period and each pill must be taken 1 1/2 hours (=1.5) apart, you can take the total number of hours (10) and divide by the time between each pill (1.5):

10 ÷ 1.5 = 6.7

Since you won't take part of a pill, the most you can take is 6 and because the intervals are 1.5 hours, 1.5 + 1.5 + 1.5 = 4.5, you will not have taken more than 3 in any four hour period.

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What is the length of side c, given a = 10, b = 8, and c = 105°?
posledela
We can calculate using cosinus method in triangle
c² = a² + b² - 2ab cos c

Plug in the number to the formula
c² = a² + b² - 2ab cos c
c² = 10² + 8² - 2(10)(8) cos 105°
c² = 100 + 64 - 160 cos 105°
c² = 164 - 160 (-0.26)
c² = 164 + 41.6
c² = 205.6
c = √205.6
c =14.34

C is 14.34 unit length
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