<h3>
Answer: Aryan spent more time exercising.</h3>
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Explanation:
Use your calculator to convert each fraction into decimal form
2/3 = 0.67 approximately
3/4 = 0.75 exact
The decimal 0.75 is larger than 0.67, in which we can think of it like saying "75 is larger than 67".
So 0.67 < 0.75 which leads to 2/3 < 3/4.
Aryan spent more time exercising.
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We could stop there, but if you wanted to know how much longer he spent exercising, then we subtract the two fractions to get
3/4 - 2/3
9/12 - 8/12
(9-8)/12
1/12
Aryan spent 1/12 of an hour longer exercising compared to Naitik
1/12 hour = (1/12)*60 = 60/12 = 5 minutes
He spent 5 extra minutes exercising.
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Notes:
- 2/3 hours = (2/3)*60 = 40 minutes
- 3/4 hours = (3/4)*60 = 45 minutes
- 45-40 = 5 extra minutes of exercise
Complete Question
The complete question is shown on the first uploaded image
Answer:
The value of 
The value of 
Step-by-step explanation:
Generally the total angle that make up a circle is

From the diagram we see that

=> 

Generally angle that is formed as a result of interception of a chord and a tangent is equal to the intercepted arc divided by 2
This implies that

substituting values


With the given order of integration, the interval over D is

A. 12*x + 2*y = 90
6*x + 2*y = 60
To write system of equation you just need to sum all solo and ensemble acts and make it equal to how much they will last for.
B. Here we can multiply second equation with negative 1 and add it to first equation.
6x = 30
x = 5
now we replace x in any of 2 equations to get y.
30+2y = 60
2y = 30
y=15
Solo acts are 5 minutes long and ensemble acts are 15 minutes long