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statuscvo [17]
2 years ago
12

The diagonal of a rectangular driveway is almost 12 feet. Which pair of dimensions is closest to the length and width of the dri

veway?
4 feet and 3 feet
4 feet and 8 feet
6 feet and 10 feet
8 feet and 18 feet
Mathematics
2 answers:
svlad2 [7]2 years ago
8 0
8 feet and 18 feet......
Archy [21]2 years ago
6 0

Answer:

thanks for free points

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An open box with a square base is to be made from a square piece of cardboard 24 inches on a side by cutting out a square from e
laila [671]

Answer:

x=4 Inch

Step-by-step explanation:

Length of the Square = 24 Inches

If a Square of Length x cm is cut out from each corner

Length of the Box = 24-x-x=(24-2x) Inches

Width of the Box =24-x-x=(24-2x) Inches

Height of the box = x inches

Volume of a Cuboid = Length X Width X Height

V(x)= x(24-2x)(24-2x)

Simplifying

V(x)=4x(12-x)(12-x)

To determine the value of x at which V is largest, we take the derivative of V(x) and solve for the critical points.

V(x)=4x(12-x)(12-x)

V^{'}(x)=12(x-12)(x-4)

Set the derivative equal to zero to obtain the critical points

V^{'}(x)=12(x-12)(x-4)=0\\Since \: 12\neq 0\\(x-12)(x-4)=0\\x-12=0 \:or\: x-4=0\\x=12 \:or\: x=4

x cannot be equal to 12 as it divides the length of the square cardboard into exactly two equal parts.

When x=4

V(4)=4*4(12-4)(12-4)=16*8*8=1024 Cubic Inches

When x=4 Inch, the volume, V of the open box is largest.

3 0
3 years ago
Carla Compra borrowed $800 at 14% for one year. She paid a $15 processing fee.
Taya2010 [7]
800×0.14=112
112+15=127
(127÷800)*100==15.88%
4 0
3 years ago
Read 2 more answers
Find the surface area of each figure?Please help
kolbaska11 [484]
--------------------------------------------------
Surface area of the cube
--------------------------------------------------
6(2.5 x 2.5) = 37.5m²

<em>(* Each area is 2.5 x 2.5, and there are 6 sides to the cube)</em>

--------------------------------------------------
Surface area of the rectangle prism
--------------------------------------------------
2(11 x 7) + 2(9 x 7) + 2(9 x 11) = 478m²

<em>(* The opposite side of the rectangle area is the same, therefore x2)
</em>
--------------------------------------------------
Overlapping area
--------------------------------------------------
2.5 x 2.5 = 6.25m²

--------------------------------------------------
Surface area of the composite figure
--------------------------------------------------
37.5 + 478 - 2(6.25) = 503m²

<em>(* The bottom of the cube and the top of the rectangle prism overlapped, so the area is overlapped twice, minus 2 times of that area)</em>

--------------------------------------------------
Answer: 503m²
--------------------------------------------------

4 0
2 years ago
Answer all questions shown
FromTheMoon [43]
SOH CAH TOA

—>

Sin D = 13 sqrt3/26 = 0.76
Sin E = 13/26 = 0.47
Cos D = 13/26 = 0.87
Cos E = 13 sqrt3/26 = 0.64
7 0
2 years ago
Need help on that one............
sergij07 [2.7K]
The answer for your question is b and i dont know why they say ur answers need to be 20 characters long but its b
6 0
3 years ago
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