In this question, it is given that An inverse trigonometric function is used to find the value of an unknown obtuse angle in a triangle. The inverse function returns the angle 68°.
Since the angle is obtuse angle, it means the measurement of the angle is greater then 90 degree. And to find the angle measurement, we have to subtract the given angle from 180 degree.
So the unknown angle is

And that's the required answer .
We do like the following:
Set the first number is a and the second is b.
We have two equations: a+2xb=24, 2xa+b=21
And we have 2xa+4xb=48 or 2xa=48-4xb
So: 48-4xb+b=21 or -3xb=21-48=-27 and we got b=-27:(-3)=9 and a= 6
a=6 and b=9
Answer:
11.2 hours or 11 hours 12 minutes
Step-by-step explanation:
In this question, we are to calculate the amount of time spent by Sara in attending meetings weekly.
In the question, we are made to understand that she attends a meeting at a rate of 0.28 multiplied by the total amount of time she works.
To get the time she attends the meeting, we only need to multiply the decimal by the number of hours she works
Mathematically that would be 0.28 * 40 = 11.2 hours per week
We might take it further to get the time in the format of hours and minutes. That would be 0.2 * 60 yo convert the hours to minutes. This gives 12 minutes .
She attends meeting 11 hours 12 minutes per week
Answer:
58.69 gallons is the maximum she can get.
Step-by-step explanation:
165 + 2.3g ≤ 300
subtract 165 from both sides
2.3g ≤ 135
divide by 2.3 on both sides
g ≤ 58.6956521739