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expeople1 [14]
3 years ago
7

2. Solve the following equations for 0° Sx < 180°.

Mathematics
1 answer:
diamong [38]3 years ago
5 0

Answer:

See below in bold.

Step-by-step explanation:

(1) cosec ( x + 10) = 3

Now cosec x = 1/sin x so

1 / sin (x + 10) = 3

3 sin (x + 10) = 1

sin (x + 10) = 1/3

x + 10 = 19.47 , 160.53 degrees

x = 9.47, 150.53 degrees.

(ii) cot (x - 30) =0.45

cot (x - 30)= 1 /tan (x- 30) so we have

tan (x - 30) = 1 / 0.45 = 2.2222

x - 30 = 65.77 degrees

x = 95.77 degrees.

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FromTheMoon [43]

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4 0
2 years ago
A machine cuts 25 circuit boards every 5 minutes. What is the unit rate of production for the machine?
Sladkaya [172]

Answer:

  • B- 5/1 boards/minutes

Step-by-step explanation:

<u>Unit rate is the number of circuit boards a minute:</u>

  • 25 boards every 5 minutes >>
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3 0
2 years ago
Kelly has 50% more money than Luis. Luis has $40. If Luis gets $8 more, will Kelly still have more money than Luis? What percent
OverLord2011 [107]

Answer:

Kelly will still have more money than Luis

Kelly will have 25% more

Step-by-step explanation:

Let x represent the amount of money Kelly has and y, Luis

Luis has $40

and Kelly has 50% more money than Luis

Therefore, Kelly has;

50% of $40 + $40

= 0.5*40 + 40

= $60

If Luis gets $8 more, Luis will have;

$8 + $40 = $48

since Luis' $48 is less than Kelly's $60, Kelly will still have more money than Luis

Difference in their money = $60 - $48 = $12

Therefore, Kelly will have;

12/48 * 100 more than Luis

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8 0
3 years ago
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almond37 [142]

The answer is D, (1/3, 4).

Hope this helped!


7 0
3 years ago
the uniform distribution over the interval 8.5 to 11.5 gallons per minute. Find the probability that between 9.0 gallons and 10.
Tema [17]

Answer: 1/3

Step-by-step explanation:

Here is the complete question:

machine is set to pump cleanser into a process at the rate of 9 gallons per minute. Upon inspection, it is learned that the machine actually pumps cleanser at a rate described by the uniform distribution over the interval 8.5 to 11.5 gallons per minute. Find the probability that between 9.0 gallons and 10.0 gallons are pumped during a randomly selected minute.

The Probability of the above question will be calculated as:

= (10-9) / (11.5 - 8.5)

= 1/3

The above is the easier way to solve this

3 0
2 years ago
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