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lara31 [8.8K]
2 years ago
7

What will the volume of the box be if you cut 1 inch by 1 inch squares out of each corner (Notice that you have to subtract 1 in

ch from each side twice? Remember volume is length times width times height. Discuss how you found the length, the width, and the height of the box in order to calculate the volume.

Mathematics
1 answer:
kaheart [24]2 years ago
7 0

Answer:

324 cubic inches

Step-by-step explanation:

The dimensions are now 18 x 18 x 1, since you are cutting an inch off each side.

324 cubic inches

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4 0
3 years ago
James and Martha are discussing special right triangles. James believes that a 30-60-90 triangle with a hypotenuse of 10 feet ha
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Answer:

Step-by-step explanation:

Disclaimer  it is up the student to verify all the geometry algabra and mathematical formulas and calculation .

cosФ = opp/hyp     sinФ = adj/hyp        hyp = 10      perimeter = a + b + c

for the 45° right triangle

a = b     so      2a² = hyp²                       perimeter 45 = a + a + hyp    

P45 = 2a + hyp         a = sin(45) (hyp)  = [1/2√2)] (hyp)        sin(45) = (√2)/2

P45 = 2([1/2√2)] (hyp) + hyp

P45  = hyp (√2 + 1)

for the 30° right triangle

a = hyp×sin(30)     b = hyp×cos(30)           perimeter 30 = a + b + hyp    

            sin(30) = 1/2       cos(30) = (√3)/2

a  = hyp(1/2)           b = hyp(1/2)(√3)

P30 =        a        +      b         + hyp

        =  hyp(1/2)  +  hyp(1/2)(√3) + hyp

        =  hyp[ 1/2  +  (1/2)√3  + 1]

        =  hyp[ 1/2  +  (1/2)√3  + 1]             factored out the hyp

        =  (1/2)hyp[ 1 + √3 + 2]                  factored out a 1/2

P30  =  (1/2)hyp[ 3 + √3]

which is greater  P45 or P30?   vso I set both perimeters equal to each other

              P45           vs             P30

      hyp (√2 + 1)     =    (1/2)hyp[ 3 + √3]            the hyp cancel

               (√2 + 1)     =    (1/2)[ 3 + √3]                    still tough to tell  needed

               1.414 + 1    =    (1/2)[ 3 + 1.732]                to go to the calsulator

                 2.414      vs    1/2( 4.732)

                 2.414      >     2.366        thus P45 > P30    < -----  Final Answer

Disclaimer  it is up the student to verify all the geometry algabra and mathematical calculation.

4 0
2 years ago
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Answer:

1

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Please use parentheses around the coordinates of your points:

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Answer:

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3 years ago
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