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2 years ago

will a 13 inch rusty metal bar fit into a box (rectangular prism) with dimensions 9 inches by 8 inches by 3 inches?

Mathematics

2 answers:

den301095 [7]2 years ago

4 0

Answer:

Answer:

Bar will not fit in the box.

Step-by-step explanation:

Given:

Length = 9 in

Width = 8 in

Height = 3 in

Length of bar = 13 in

Find:

Bar fit in box or not

Computation:

If length of bar is equal to length of diagonal than it will fit in box.

Diagonal of a cuboid = √l² + b² + h²

Diagonal of a cuboid = √9² + 8² + 3²

Diagonal of a cuboid = √81 + 64 + 9

Diagonal of a cuboid = √154

Diagonal of a cuboid = 12.40 in

Diagonal of a cuboid < Length of bar

So,

Bar will not fit in the box.

Step-by-step explanation:

wariber [46]2 years ago

3 0

Answer:

Bar will not fit in the box.

Step-by-step explanation:

Given:

Length = 9 in

Width = 8 in

Height = 3 in

Length of bar = 13 in

Find:

Bar fit in box or not

Computation:

If length of bar is equal to length of diagonal than it will fit in box.

Diagonal of a cuboid = √l² + b² + h²

Diagonal of a cuboid = √9² + 8² + 3²

Diagonal of a cuboid = √81 + 64 + 9

Diagonal of a cuboid = √154

Diagonal of a cuboid = 12.40 in

Diagonal of a cuboid < Length of bar

So,

Bar will not fit in the box.

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Answer:

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Step-by-step explanation:

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F is 33°, because 147* is its supplementary angle, or angles that add up to 180°

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3 years ago

1. Which would be a more helpful for solving the system: adding the two equations or subtracting

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Answer:

1) Subtracting one from the other

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Step-by-step explanation:

Equation 1 :

$\frac{2x+1}{2y}=7\\\\$

Equation 2:

$\frac{6x-1}{2y}=5$

To solve these equations by the Elimination method we multiply equation 1 with 6 and multiply equation 2 with 2 so now,

$\frac{2x+1}{2y} =7\\\\2x+1=14y\\\\Multiplying\ Equation\ 1\ with\ 6\\\\12x+6=84y$

Now for the second equation:

$\frac{6x-1}{2y}=5\\\\6x-1=10y\\\\Multiplying\ equation\ 2\ with\ 2 \\\\12x-2=20y$

Now subtracting equation 2 from equation 1

$12x+6=84y\\\\12x-2=20y\\\\Subtracting\ leads\ to\\12x-12x+6-(-2)=84y-20y\\0+8=64y\\8=64y\\8/64=y\\0.125=y$

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$\frac{2x+1}{2y} =7\\\\2x+1=14y\\2x+1=14(0.125)\\2x+1=1.75\\2x=1.75-1\\2x=0.75\\x=0.75/2\\x-0.375$

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