This question s incomplete, the complete question is;
The Watson family and the Thompson family each used their sprinklers last summer. The Watson family's sprinkler was used for 15 hours. The Thompson family's sprinkler was used for 30 hours.
There was a combined total output of 1050 of water. What was the water output rate for each sprinkler if the sum of the two rates was 55L per hour
Answer:
The Watson family sprinkler is 40 L/hr while Thompson family sprinkler is 15 L/hr
Step-by-step explanation:
Given the data in the question;
let water p rate for Watson family and the Thompson family sprinklers be represented by x and y respectively
so
x + y = 55 ----------------equ1
x = 55 - y ------------------qu2
also
15x + 30y = 1050
x + 2y = 70 --------------equ3
input equ2 into equ3
(55 - y) + 2y = 70
- y + 2y = 70 - 55
y = 15
input value of y into equ1
x + 15 = 55
x = 55 - 15
x = 40
Therefore, The Watson family sprinkler is 40 L/hr while Thompson family sprinkler is 15 L/hr
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Answer:
Answer in simplified form is - 10 1/2 .
Step-by-step explanation:
We have given,
(5 1/4) ÷ (- 2 1/2)
This can be simplified as :
(5 1/4) ÷ ( -2 1/2)
Since 5 1/4 = 21/4 and -2 1/ 2 = -5/2
So we can write,
(5 1/4) ÷ ( -2 1/2) = 21/4 ÷ ( - 5/2)
or (21/4) / (-5/2)
or ( 21/4) * (-2/5)
or -42/20
or -21/10
or - 10 1/2 , this is the answer
Hence we get answer in simplified form as -10 1/2
Answer:
Step-by-step explanation:
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Answer:
First, let's recall some usefull information:
- cot(x) = 1/tg(x) = cos(x)/sin(x)
- tan(x) = sin(x)/cos(x)
We also know that:
- cos(x - pi/2) = sin(x)
- sin(x - pi/2) = -cos(x)
Now we can use those relationships and get:
cot(x - pi/2) = cos(x - pi/2)/sin(x -pi/2) = sin(x)/-cos(x) = -tan(x)
So we have verified the identity, and explained step by step why the identity is true.
