That's of course the sum angle formula for sine
sin(a+b) = sin a cos b + cos a sin b
We have a=20° b=40°
sin 20° cos 40° + cos 20° sin 40°
= sin(20°+40°)
= sin(60°)
= √3/2
Answer: √3/2
Answer:
∠J = 180° - 65° - 40° = 75°
So here are the rules of horizontal asymptotes:
- Degree of Numerator > Degree of Denominator: No horizontal asymptote
- Degree of Numerator = Degree of Denominator:
- Degree of Numerator < Degree of Denominator: y = 0
Looking at the rational function, since the degree of the numerator is 2 and the degree of the denominator is 1 (and 2 > 1), this means that <u>this function has no horizontal asymptote.</u>
Given the amount of water needed to fill the cement dam and the water pump rate, the time needed to fill the dam is 400 minutes or 6hours 40minutes.
Option B)6h 40min is the correct answer.
<h3>How long does it take to fill the dam?</h3>
Given that;
- Amount of water needed to fill the dam A = 30000 litres
- Pump rate r = 75 litres per minute
- Time needed to fill the dam T = ?
To determine how long it take to fill the dam, we say;
Time need = Amount of water needed ÷ Pump rate
T = A ÷ r
T = 30000 litres ÷ 75 litres/minute
T = 400 minutes
Note that; 60min = 1hrs
Hence,
T = 6hours 40minutes
Given the amount of water needed to fill the cement dam and the water pump rate, the time needed to fill the dam is 400 minutes or 6hours 40minutes.
Option B)6h 40min is the correct answer.
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Answer:
Car B by 20km/hr
Step-by-step explanation:
well, we first calculate the speeds of both cars. there is an allocated dot along the 6 hour mark for the line graph of both cars. hence, using a time of 6 hours, we use their respective distances to produce an answer. car a has travelled 360 km while car v has travelled 480 km.
hence:
speed of car b = 480/6 = 80
speed of car a = 360/6 = 60
