The recycling plant processes 480 tons of glass per day.
Step-by-step explanation:
Quantity of glass recycled each minute = 
We know that;
1 hour = 60 minutes
Therefore;
Quantity of glass recycled in one hour = 
1 day = 24 hours
Quantity of glass recycled in 24 hours = 24*20 = 480 tons
The recycling plant processes 480 tons of glass per day.
Keywords: multiplication, fraction
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Answer: 2sin^2x+sin2x+cos2x=0 ..... (1).
By using the trigonometric identities below :
sin2x=2sinxcosx
cos2x=cos^2x-sin^2x
We substitute the trigonometric identities into (1).
2sin^2x+2sinxcosx+cos^2x-sin^2x=0
By combining like terms .
sin^2x+2sinxcosx+cos^2x=0.....(2)
The equation (2) is equivalent to the following expression (3).
(sinx+cosx)(sinx+cosx)=0 .....(3).
sinx+cosx=0
cosx=-sinx
divide both sides by cosx
1=-sinx/cosx
-1=sinx/cosx
sinx/cosx=tanx
substitute
-1=tanx
tanx=-1
tangent is negative in 2nd and 4th quadrants
tan135º=-1 (one answer)
tan315º=-1 (second answer)
Step-by-step explanation:
Please refer to the trigonometric identities used and explained above .
Depends how many times pink is on the spinner you put the number of pink spaces there is at the top out of seven for example a fraction 3/7
Answer: $62
Step-by-step explanation:
From the question, we are informed that someone earned $204 from a job last week and has two relatives with birthdays coming up and wants to
spend the same amount on each of them but still wants to have $80 left.
To calculate the amount of gift spent on each, we have to deduct $80 from $204 firstly. This will be:
= $204 - $80
= $124
This means that the person will spend $124 on both of them, then we divide $124 by 2. This will be:
= $124/2
= $62
The amount spent on each gift will be $62.
Answer:
3y-+1
Step-by-step explanation: