Answer:
(5, 6 )
Step-by-step explanation:
Using the midpoint formula
[ 0.5(x₁ + x₂ ), 0.5(y₁ + y₂ ) ]
with (x₁, y₁ ) = B(2, 1) and (x₂, y₂ ) = C(8, 11)
midpoint = [ 0.5(2 + 8), 0.5(1 + 11) ] = (5, 6 )
24 * 47.5 = 1140 inches ;
But, <span>ft =<span>in * 0.083333 ;
1140 * 0.083333 </span></span>≈ 95 feet of board ;
Answer:
A) 
Step-by-step explanation:
in a 30-60-90 triangle the sides, respectively, are in the ratio of 1 :
: 2
The probability of rolling an even number on a six sided die is 1/3.
Answer:
1.88 inches
Step-by-step explanation:
The volume is the product of length, width, and height. If w represents the width of the box, then its length is 4w and its height is w+7. The volume is then ...
V = (4w)(w)(w+7)
We want to find the value of w that makes V=126. It is convenient to use the graphing calculator to look for zeros of a function, so we can write the equation as ...
V - 126 = 0
4w·w·(w+7) -126 = 0
The only positive solution to this equation is near w ≈ 1.883.
The width of the box is about 1.88 inches.
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Attached is output from the DESMOS free graphing calculator. The ALEKS calculator requires a subscription. The method of solution is substantially the same, but requires a little more work on the ALEKS calculator to find the zero-crossing.