Given:
Radius of the circle = 10 in
Central angle of the sector = 45 degrees
To find:
The area of the sector.
Solution:
Area of a sector is
Where, 
is the central angle in degrees.
Putting r=10 and 
, we get
Therefore, the area of the sector is 12.5π sq. inches.
Y = t*e^(-t/2)
y' = t' [e^(-t/2)] + t [e^(-t/2)]' = e^(-t/2) + t[e^(-t/2)][-1/2]=
y' = [e^(-t/2)] [1 - t/2] = (1/2)[e^(-t/2)] [2 - t] = - (1/2) [e^-t/2)] [t -2]
The answer is: "
270 minutes " .
__________________________________________________________ → There are "
270 minutes" in "4 hours and 30 minutes" .
__________________________________________________________Explanation:__________________________________________________________Method 1):__________________________________________________________ Note: 60 minutes = 1 hour (exactly);
30 minutes =
? hr ? ;
→ (30 minutes) * (1 hr/ 60 minutes) ;
= (30/60) hr
= (3/6) hr
= (3÷3)/(6÷3) hr ;
= "
hr " ;
or; write as: "
0.5 hr " .
_________________________________________________________So "4 hours & 30 minutes" = 4 hours + 0.5 hours = 4.5 hours.
→ 4.5 hours
= ? minutes ;
The answer is: " 270 minutes" . 4.5 hours *
;
= (4.5 * 60) minutes
= "
270 minutes " .
→ The answer is: "
270 minutes ".
___________________________________________________________
Method 2) ___________________________________________________________ "4 hours and 30 minutes" =
<u> ? </u> minutes " .
___________________________________________________________→ " 4 hours
= <u> ? </u> minutes " ;
→ 4 hr . *
= (4 * 60) minutes
= 240 min. ;
→ There are " 240 minutes in 4 hours" .
→ To find the number of "minutes" in "4 hours and 30 minutes" ;
→ we takes the number of minutes in 4 hours—which is "
240 minutes"—and add "
30 minutes" to that number; as follows:
→ "
240 minutes + 30 minutes " ;
to get: "
270 minutes " .
_______________________________________________________ → There are "
270 minutes" in "
4 hours and 30 minutes" .
_______________________________________________________
The answer is: "
270 minutes " .
_______________________________________________________
Given:
Consider the below figure attached with this equation.
Quadrilateral QRST is a parallelogram.
To find:
The value of x.
Solution:
We know that the sum of two consecutive interior angles of a parallelogram is 180 degrees because they are supplementary angles.
In parallelogram QRST,
On comparing both sides, we get
Divide both sides by 12.
Therefore, the value of x is 16.
