Answer:
Cut it in half so that the two pieces are each 7 in by 4 in.
The less than or equal to sign then 5
Suppose,
x = distance of the man
<span>s = length of the shadow</span>
<span>Using the idea of similar triangles</span>
<span>6/s = 23/(x + s) </span>
<span>Simplifying:</span>
we get,
<span>6(x + s) = 23s </span>
<span>6x + 6s = 23s </span>
<span>6x = 17s </span>
<span>Differentiating with respect to time, </span>
<span>6(dx/dt) = 17(ds/dt) </span>
<span>Manipulating the above equation for ds/dt,</span>
<span>ds/dt = (17/6)(dx/dt) </span>
<span>ds/dt = (17/6)(6) </span>
<span>ds/dt = 17 ft/sec.</span>
Odd integers are 1 more than even ones
even intergers are represetned as 2n where n is a whole number
odd=2n+1
consecutive odd integers are 2 apart from each other so therefor the numbers are 2n+1,2n+1+2, 2n+1+2+2 or 2n+1, 2n+3, 2n+5
so they add up to 111
2n+1+2n+3+2n+5=111
add like terms
6n+9=111
subtract 9 from both sides
6n=102
divide both sides by 6
n=17
numbers are
2n+1,2n+3,2n+5
subsitute
2(17)+1=34+1=35
therefor since the other sare 2 more
35,37,39 are the numbers
are there 3 that equal 1111? solve and see if it is true
2n+1+2n+3+2n+5=1111
add like terms
6n+9=1111
subtract 9 from both sides
6n=1102
divide both sides by 6
n=183.666666666666
n is not whole so the answer is NO
answer are 35,37,39 and NO