leo takes 30 minutes to eat dinner 15 minutes to change clothes and 20 minutes to walk to practice.if leo needs to be at hockey practice at 7:15 pm what time does he need to begin
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Hi there, first let's add up the minutes, 30 minutes+15 minutes+20 minutes equals 65 minutes, 65 minutes equals 1 hour and 5 minutes. 7:15 pm, an hour before that is 6:15, 5 minutes before that is 6:10. Therefore, Leo needs to begin at 6:10 pm
6:10 pm if you want to be exact
What is the least perimeter of a rectangle with an area of 32 square feet
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area of a rectangle=length x width. length=x width=y
xy=32 ⇒y=32/x
perimeter of a rectangle=2x+2y P(x,y)=2x+2y P(x)=2x+2(32/x) P(x)=2x+64/x P(x)=(2x²+64)/x
1) we calculate the first derivative y=u/v ; y´=(u`v-v´u) / v² P`(x)=(4x*x-1(2x²+64)] / x² P´(x)=(4x²-2x²-64) / x² P´(x)=(2x²-64) / x²
2)we equalize the first derivative to "0" and we find out the value of x: (2x²-64) / x²=0 2x²-64=0*x² 2x²-64=0 2x²=64 x²=64/2 x²=32 x=⁺₋√32 We obtein two possible values: x₁=-√32; this value is not valid. x₂=√32 ;
3)we calculate the second derivative: P``(x)=[4x * (x²)-2x(2x²-64)] / x⁴ P´´(x)=(4x³-4x³+128x) / x⁴ P´´(x)=128/x³
4) we find out if x=√32 is a maximum or a minimum P´´(√32)=128/(∛32)=40.317...>0; Therefore, like P´´(√32)>0 at x=√32 we have a minimum
5) we find out the value of y.
y=32/x y=32 / √32=(32*√32)/32=√32
Therefore: x=√32, y=√32, the rectangle is a square.
Perimeter=2x+2y Perimeter=2√32+2√32=4√32
Answer: the least perimeter of a rectangle with an area of 32 ft² is 4√32 ft.
the smallest perimiter is when the sides are the same legnth
example if you built a rectangle with area 20 if you built it wwith sides 20 and 1, then the perimiter would be 42 if you build it with sides 5 and 4, the perimiter is 18
so trry to get perimiters as clos as possible
get them equal
aera of rectangle=legnth times width set legnth=width so we can get least perimiter area of rectangle=legnth times legnth area=legnth^2 32=legnth^2 sqrt both sides √32=legnth 4√2=legnth
so since legnth=width, this rectangle is now a square (this is allowed becasue defenition of rectangle is 4 right angles, and all squares are rectangles, but that doesn't means all rectangles ar squares)
perimiter of square=4legnth perimiter of this square=4*4√2=16√2
answer is 16√2 feet
Pleasr help me 5u + 3v + 6u - v = ?
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How many times can 20 go into 16
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0 times lol...........
.......................... 0 ??????????
Mike jogged 6 laps around a 0.25-mile track on Mondat and 7 laps on Tuesday. How many miles did he jog on Monday and Tuesday combined?
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Given: Monday: 6 laps around a 0.25-mile track Tuesday: 7 laps around a 0.25-mile track
Total miles jogged on both days.
0.25(6 + 7) = 0.25(13) = 3.25 miles
Mike jogged a total of 3.25 miles on Monday and Tuesday combined.
All you have to do is add up the number of laps and multiply that by the distance for each lap so its (6 +7)*0.25.