Cutting her time by 50% means reducing her time by half. Half of 45 seconds is 22.5 seconds. Therefore, to make the team, she must run a lap in 22.5 seconds.
Simply divide the minutes by laps.
38 / 8 = 4.75
Hannah runs 1 lap in 4.75, or 4 3/4 minutes.
The answer to this equation is x=4.
Given.
Radius of the Half sphere is 3 inches.
From the figure;
Radius of half sphere= Radius of cylinder= Radius of cone=3inches
Height of cone= 4inches.
Height of cylinder=6inches.
Volume of cone=(πr²h)/3
=(π3²×4)/3
=(12π) inch³
volume of cylinder= πr²h=π3²6=54π inch³
Volume of half sphere= (4/3) π r³=π(4×3³)/3 (1/2)=π×4×9/2=18π inch³
Total area of Composite figure=(12π +54π +18π) inch³
=84π inch³
=(84)× 22/7inch³
=12×22 inch³
=264inch³
Hope it helps...
Regards;
Leukonov/Olegion.
C
when doing substitution,you must make one a subject,which is y in this case.To make y the subject,you must move -2y to 4x to make the y positive,that leaves us with 2y+4x=5.Now move the 4x to 5 to make 2y=5-4x.Lastly,to make y the subject,divide both side by 2 to remove the 2 from the y, which leaves us with y=5-4x/2
