(tan(<em>x</em>) + cot(<em>x</em>)) / (tan(<em>x</em>) - cot(<em>x</em>)) = (tan²(<em>x</em>) + 1) / (tan²(<em>x</em>) - 1)
… = (sin²(<em>x</em>) + cos²(<em>x</em>)) / (sin²(<em>x</em>) - cos²(<em>x</em>))
… = -1/cos(2<em>x</em>)
Then as <em>x</em> approaches <em>π</em>/2, the limit is -1/cos(2•<em>π</em>/2) = -sec(<em>π</em>) = 1.
The one day pay is $106.25 rounded to the nearest hundredth.
<u>Step-by-step explanation:</u>
<u>From the table shown :</u>
- The timing shown in the morning is from 8:00 to 12:15
- The number of hours worked in the morning = 4 hours 15 minutes.
It is given that, the pay is $12.5 per hour.
Therefore, the pay earned in the morning = No.of hours × pay per hour.
⇒ 4 hours × 12.5 = $50
⇒ (15 mins / 60 mins) × 12.5 = $3.125
⇒ 50+3.125
⇒ 53.125
- The timing shown in the afternoon is from 8:00 to 12:15
- The number of hours worked in the morning = 4 hours 15 minutes.
Therefore, the pay earned in the afternoon = No.of hours × pay per hour.
⇒ 4 hours × 12.5 = $50
⇒ (15 mins / 60 mins) × 12.5 = $3.125
⇒ 50+3.125
⇒ 53.125
The pay for 1 day = pay earned in the morning section + pay earned in the afternoon section.
⇒ 53.125 + 53.125
⇒ 106.25
∴ The one day pay is $106.25 rounded to the nearest hundredth.
Answer:
Step-by-step explanation:
Density is the ratio of an object's mass to its volume, and it measures how compact an object is. The density of an object, p, is directly proportional to its mass, m, and inversely proportional to its volume, V: