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SSSSS [86.1K]
3 years ago
9

Tiles identical to the one shown below are piled up one on top of another to form a tower of volume 1830 cm3. What is the height

of the tower (in cm)?
A18.3 B30.5
C183 D Can not say unless the number of tiles used is given.

Mathematics
1 answer:
Snezhnost [94]3 years ago
4 0

Answer:

B

Step-by-step explanation:

In the figure attached, the tile is shown.

Data:

  • Volume of the tower: 1830 cm³
  • Area of the base of the tower: 60 cm²

Volume of the tower: height of the tower * area of the base of the tower

Replacing with data:

height of the tower = 1830/60 = 30.5 cm

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A farmer has 520 feet of fencing to construct a rectangular pen up against the straight side of a barn, using the barn for one s
Setler [38]

Answer:

310\text{ feet and }210\text{ feet}

Step-by-step explanation:

GIVEN: A farmer has 520 \text{ feet} of fencing to construct a rectangular pen up against the straight side of a barn, using the barn for one side of the pen. The length of the barn is 310 \text{ feet}.

TO FIND: Determine the dimensions of the rectangle of maximum area that can be enclosed under these conditions.

SOLUTION:

Let the length of rectangle be x and y

perimeter of rectangular pen =2(x+y)=520\text{ feet}

                                                x+y=260

                                               y=260-x

area of rectangular pen =\text{length}\times\text{width}

                                       =xy

putting value of y

=x(260-x)

=260x-x^2

to maximize \frac{d \text{(area)}}{dx}=0

260-2x=0

x=130\text{ feet}

y=390\text{ feet}

but the dimensions must be lesser or equal to than that of barn.

therefore maximum length rectangular pen =310\text{ feet}

                              width of rectangular pen =210\text{ feet}

Maximum area of rectangular pen =310\times210=65100\text{ feet}^2

Hence maximum area of rectangular pen is 65100\text{ feet}^2 and dimensions are 310\text{ feet and }210\text{ feet}

5 0
3 years ago
What is 60,000 10 times as much
Veseljchak [2.6K]
6000 would be your answer 
7 0
3 years ago
Help me pweasee
lorasvet [3.4K]

Answer:

211 / 41 = 5 hours

Step-by-step explanation:

the total was 211 dollars, so you can add 25 dollars and 16 dollars together. That gives us 41 dollars. 211 divided by 41 is approximately 5 hours.

Hope it helps!

8 0
3 years ago
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Use the distributive property to expand this expression: 4(2z + 3y) =
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Answer:

8z+12y

Step-by-step explanation:

hope this helps

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2 years ago
Find the value of b.<br> A 57<br> B 50 <br> C 123<br> D 61.5
pychu [463]

Answer: The answer is 50

Step-by-step explanation:

I did the test

4 0
2 years ago
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