A) 0.15
b) approximately 23.71 inches
27=1.15^10*x
27= approx 4x
27/4=x
x= approximately 23.71 inches
Comment
This is an area problem. The key words are 120 square feet and 12 feet longer.
And of course width is a key word when you are reading this.
Formula
Area = L * W
Givens
W = W
L = W + 12
Substitute and Solve
Area = L* W
120 = W*(W + 12)
W^2 + 12W = 120 square feet
w^2 + 12w - 120 = 0
This does not factor easily. I would have thought that a graph might help but not if the dimension has to be to the nearest 1/100 of a foot. The only thing we can do is use the quadratic formula.
a = 1
b = 12
c = - 120
w = [ -b +/- sqrt(b^2 - 4ac) ]/(2a)
w = [-12 +/- sqrt(12^2 - 4*(1)(-120)] / 2*1
w = [-12 +/- sqrt(144 - (-480)]/2
w = [-12 +/- sqrt(624)] / 2
w = [- 12 +/- 24.979992] / 2 The minus root has no meaning whatever.
w = (12.979992) / 2
w = 6.489995 I'll round all this when I get done
L = w + 12
L = 6.489995 + 12
L = 18.489995
check
Area = L * W
Area = 6.489995*18.489995
Area = 119.999935 The difference is a rounding error
Answer
L = 18.489995 = 18.49 feet
W = 6.489995 = 6.49 feet
Note: in the check if you round first to the answer, LW = 120.0001 when you find the area for the check. Kind of strange how that nearest 1/100th makes a difference.
Answer:
The answer is 11u + 4v
Step-by-step explanation:
Answer:
Undefined
Step-by-step explanation:
Slope formula:
y2-y1/x2=x1
In (3,-1), 3 is x1 and -1 is y1
In (3, -6), 3 is x2 and -6 is y2
-6-(-1)/3-3
Which is -5/0
And that couldn't happen in a slope
So the answer is undefined
Hope this helps!
Answer:
a score of 105 is one standard deviation above the mean
the rule says that 68% of a normally distributed population lies within one standard deviation of the mean...half above the mean and half below
so 34% are within one standard deviation above the mean
this means that 16% are above that value
Step-by-step explanation:
