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strojnjashka [21]
3 years ago
15

Round 98.125 to the nearest hundredth

Mathematics
2 answers:
Viktor [21]3 years ago
8 0

Answer:

98.13

Step-by-step explanation:

hundredth place is the second after the decimal and anything 5 or above rounds up so the 5 rounds the 2 up to a 3

devlian [24]3 years ago
5 0

Answer:98.13

Step-by-step explanation:

125 rounds To 130 which is .13

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40 POINTS PLEASE HELP AND HURRY
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The histogram that represents the correct frequency of each class interval in the given data set, is: histogram B.

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the least square yard is 15 yards by 15 yards. how many feet of fencing will they need to buy to fence in all four sides
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3 years ago
Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of cardboard 11 in. by 7 in. by
11111nata11111 [884]

Answer:

The dimension of the open rectangular box is 8.216\times 4.216\times 1.392.

The volume of the box is 8.217 cubic inches.

Step-by-step explanation:

Given : The open rectangular box of maximum volume that can be made from a sheet of cardboard 11 in. by 7 in. by cutting congruent squares from the corners and folding up the sides.

To find : The dimensions and the volume of the open rectangular box ?

Solution :

Let the height be 'x'.

The length of the box is '11-2x'.

The breadth of the box is '7-2x'.

The volume of the box is V=l\times b\times h

V=(11-2x)\times (7-2x)\times x

V=4x^3-36x^2+77x

Derivate w.r.t x,

V'(x)=4(3x^2)-2(36x)+77

V'(x)=12x^2-72x+77

The critical point when V'(x)=0

12x^2-72x+77=0

Solve by quadratic formula,

x=\frac{18+\sqrt{93}}{6},\frac{18-\sqrt{93}}{6}

x=4.607,1.392

Derivate again w.r.t x,

V''(x)=24x-72

Now, V''(4.607)=24(4.607)-72=38.568>0 (+ve)

V''(1.392)=24(1.392)-72=-38.592 (-ve)

So, there is maximum at x=1.392.

The length of the box is l=11-2x

l=11-2(1.392)=8.216

The breadth of the box is b=7-2x

b=7-2(1.392)=4.216

The height of the box is h=1.392.

The dimension of the open rectangular box is 8.216\times 4.216\times 1.392.

The volume of the box is V=l\times b\times h

V=8.216\times 4.216\times 1.392

V=48.217\ in.^3

The volume of the box is 8.217 cubic inches.

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3 years ago
A proof of the Alternate Interior Angles Theorem, using parallel lines a and b with transversal m, is shown below.
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Answer:

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Is it possible to divide <br> 0 by 27<br> ?
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No. Dividing by 0 is not rational, no number works.

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