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KiRa [710]
3 years ago
8

Type the correct answer in each box. Spell all words correctly, and use numerals instead of words for numbers. If necessary, use

decimals instead of fractions. Waylan has two cardboard boxes that are rectangular prisms. Each cardboard box has the same height, h, but the square bases of each cardboard box have different side measurements, w. He wants to find the amount of space, S, inside each box. Considering that each box has a square base, he decides to use the formula below for his calculation. The square base on Box A has a side measurement of 2 feet, and the square base on Box B has a side measurement of 0.75 of a foot. Each box has a height of 4 feet. Box A contains cubic feet of space, and Box B contains cubic feet of space. Box A contains cubic feet more space than Box B. NextReset
Mathematics
2 answers:
Firlakuza [10]3 years ago
8 0
Given:
2 rectangular prism.
same height
square bases


                                    Box A     Box B
Square Base side          2 ft        0.75 ft
Height                            4 ft        4 ft

Solving for the space inside each rectangular prism, we need to find its volume.

Volume of a rectangular prism = length * width * height

Box A: 
Volume = 2 ft * 2 ft * 4 ft = 16 cubic feet

Box B:
Volume = 0.75 ft * 0.75 ft * 4 ft = 2.25 cubic feet

Box A - Box B = difference in space

16 cubic feet - 2.25 cubic feet = 13.75 cubic feet

Box A contains 13.75 cubic feet more space than Box B. 
shepuryov [24]3 years ago
7 0

Answer:

box b is smaller because, box a has 16 cubic feet but box b has 2.25 cubic feet

Step-by-step explanation:

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Range is between -7 and 8

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Step-by-step explanation:

Range means series of number between lowest and highest output(y-axis) of a function.

Notice on the graph, the lowest y you can get is -7 and highest is 8. Other numbers are in between.  

Thus,  the range is in between of -7 and 8.

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Gemiola [76]

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Step-by-step explanation:

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In triangle ABC, AB=5cm, AC = 10cm, and BC = 12 cm<br>Determine the size of the largest angle.​
avanturin [10]

Answer:

The largest angle is <B.

Because, AC is the longest and largest side of ∆ABC. Therefore, the angle opposite the largest side is also the largest.

This is a property in geometry.

Step-by-step explanation:

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3 years ago
The sum of the digits in a two digit number is 14. If you reverse and double the original number, and then add the result to the
gtnhenbr [62]

Answer:

Step-by-step explanation:

Let the two digits be x and y, where x is the tens digit and y is the units (ones) digit.

Then the number is 10x + y.

From the question,

The sum of the digits in a two digit number is 14,

That is, x + y = 14 ....... (1)

Also, from the question,

If you reverse and double the original number, and then add the result to the original number, the sum is 222

If the number is reversed, the new number will be 10y + x; and if this is doubled, we will get 2(10y + x).

Now, if this is added to the original number (10x + y), the sum is 222.

That is,

2(10y + x) + (10x + y) = 222

Then,

20y + 2x + 10x + y = 222

12x + 21y = 222 ........ (2)

Now, we will bring the two equations together and solve simultaneously.

x + y = 14 ....... (1)

12x + 21y = 222 ........ (2)

From equation (1)

x + y = 14

Then, x = 14 - y ...... (3)

Substitute the value of x in equation (3) into equation (2)

12x + 21y = 222

12(14 - y) + 21y = 222

168 - 12y + 21y = 222

168 + 9y = 222

9y = 222 - 168

9y = 54

∴ y = 54/9

y = 6

To determine x, substitute the value of y into equation (3)

x = 14 - y

∴ x = 14 - 6

x = 8

∴ x = 8 and y = 6

Recall that, the two digits are x and y, where x is the tens digit and y is the units (ones) digit.

Hence, the original number is 86.

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3 years ago
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kow [346]

Answer:

Step-by-step explanation:

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