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Travka [436]
2 years ago
15

Find all solutions of the equation in the interval [0, 2pi); sqrt(3) * csc(theta) - 2 = 0

Mathematics
1 answer:
kiruha [24]2 years ago
8 0

Answer:

Step-by-step explanation:

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A glass contains alcohol and water in the ratio 1:4. A second glass contains the same quantity of liquid, but this time the rati
AnnyKZ [126]

Answer:

3:7

Step-by-step explanation:

So to solve this problem, you have to understand what the ratio 1:4 and 2:3 means. The 1:4 ratio in the first equation means that for "each unit of alcohol" there is 4 of those units of water. So let's say I had 2 gallons of alcohol and mixed it with 8 gallons of water. This means for each gallon of alcohol, there is 4 gallons of water, or in other words a 1:4 ratio. This can be described as a percentage as well. For each 5 gallons there are 4 gallons of water, and 1 gallon of alcohol or <em>20%</em> is alcohol. So let's just say that x=alcohol and y=water, this means that: x+y=c  where c is the total amount in the glass. This means that: x=0.20c

Let's do the same thing to the second equation. the ratio means that for every 2 units of alcohol there are 3 units of water. This means for every 5 gallons of the mixture there is 2 units of alcohol which is 40%. In this case let's also say that j=alcohol and k=water. This means that: j+k=c and that: j=0.40c.

So if we're going to add the two glasses, we simply add the two sides, and get: j+x+k+y=2c. Now remember how can can express j and x in terms of c, since it's a certain percentage of c (the entire thing). This means that we get: (0.4c+0.2c)+x+k=2c Now we can add like terms to get the equation: 0.6c+y+k=2c. We can find how much 0.6c is to 2c by dividing the 2, in doing so we get that 0.6c/2c = 0.3, or in other words the 0.6c is only 30% of the final mixture, and since the 0.6c represents the alcohol in this mixture, that means that's the percentage of alcohol. To write this as a ratio, this means for every 3 units of alcohol, there is 7 units of water, because 3/10 = 30%.

3 0
2 years ago
Read 2 more answers
If Happie had ridden exactly 100 feet in 25
Strike441 [17]

Answer:

The speed rate is 100 feet per 25 seconds, or 20 feet every 5 seconds, (100 / 5 = 20)

Every minute is 60 seconds long, this means that to find out how fast she would roll in one minute we just need to do 60 / 5 = 12 and then do 12 x 20

12 x 20

10 x 20 = 200 feet per second

2 x 20 = 40 feet per second

200 + 40 = 240 feet per second

Happie would roll 240 feet in a minute at the speed of 100 feet per 25 seconds

Hope this helps!

6 0
3 years ago
Read 2 more answers
Given log3 2=0.631 log3 7=1.771 what is log3 14?
Leni [432]
In logarithm, inverse operations are applied.
log_3{14} =  log_3{7} +   log_3{14} \\ log_3{14} = 0.631 + 1.771 \\log_3{14} = 2.402
5 0
3 years ago
Read 2 more answers
78% of those surveyed at the fair bought popcorn statistic or parameter
vlada-n [284]

Step-by-step explanation:

78% of those surveyed bought popcorn statistic or parameter. This means that significantly more than half of the given population bought popcorn statistic or parameter.

If the population is, say ten thousand, then 78% of 10000 is

10000 × 78/100 = 7800.

Which is more than half the whole population.

3 0
3 years ago
Find the missing angle please help
lana [24]

Answer:

saw this question on egde its b

8 0
2 years ago
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