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aev [14]
3 years ago
9

Alexis uses toy blocks to build a model of a building each toy block is 1 cubic inch The first three floors of the model are Mad

e up of six rows of four blocks floors four through eight are made up of 4 rows of 4 blocks what is the volume of the model
Mathematics
1 answer:
Alenkinab [10]3 years ago
8 0

Answer: The volume is 40 cubic inches

Step-by-step explanation: Each toy block is 1 cubic inch, which means each toy block is a cube with all sides (Length, width and height) measuring 1 inch. That makes the volume of each cube or block to be derived as;

Volume = L x W x H

Volume = 1 x 1 x 1

Volume = 1 cubic inch

The first 3 floors are made up of six rows of four blocks. This means, the first 3 floors has six by four blocks, that is, six times four blocks and that gives us 24 blocks.

The fourth to eighth floors are made up of four rows of four blocks. This also means four by four blocks, that is, four times four blocks and that gives us 16 blocks.

Having determined the amount of blocks used in the total model building as

1st - 3rd = 24 blocks

4th - 8th = 16 blocks

The total number of blocks used is 24 plus 16 which equals 40. Having been told that each block has a volume of 1 cubic inch, the volume of the model building equals 40 cubic inches.

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A basketball court is 94 feet by 50 feet. Eight fans ca
IgorC [24]

Answer:

The entire floor can contain approximately 4178 fans

Step-by-step explanation:

The first step is to calculate the area of the basketball floor.

we can do this by multiplying the length by the breadth as such 94 X 50 = 4700 square feet.

The second step is to calculate the area occupied by 8 of the fans. We can do this by multiplying 3 ft by 3ft = 9 square feet.

From this, it will be easier to estimate the area occupied by only one fan. This can be got by dividing 9 square feet by 8.  

This is = 1.125 square feet.

To get the number of students it can occupy, we divide the total area of the court by the area occupied by one student.

4700/ 1.125 =4177.8 \approx 4178 fans

4 0
3 years ago
Travels 150 miles in 3 hours.
BaLLatris [955]

Answer:

y=3x

Step-by-step explanation:

8 0
2 years ago
41=12d-7 can someone help me?​
OverLord2011 [107]

Answer:

d = 4

Step-by-step explanation:

41 = 12d - 7

48 = 12d

d = 4

6 0
4 years ago
Read 2 more answers
(X+h)^3-3(x+h)-(x^3-3x) over h
adelina 88 [10]
X^3 + h^3 - 3x-3h - x^3 +3x              h^3 - 3h              h^2 - 2h
-------------------------------------   =  ------------------   =
                h                                         h
4 0
4 years ago
Little help please? and thank you​
Aneli [31]

Answer:

45.7

Step-by-step explanation:

Hello there!

We can calculate the missing angle using trigonometry

here are the trigonometric ratios

sin = opposite over hypotenuse

cos = adjacent over hypotenuse

tan = opposite over adjacent

We are given x's opposite side length (8) and x's adjacent side length (7.8)

we are given the information to use the trigonometric ratio tangent

so now we create an equation (remember tan - opposite over tangent)

tan(x)=\frac{8}{7.8}

now we solve for x

\frac{8}{7} =1.025641026

we're left with

tan(x) =1.025641026

finally we want to get rid of the tan

To do so we take the inverse of tan (arctan^-1) and apply it to each side

arctan^-^1tan(x)=x\\arctan^-^1(1.025641026)=45.7252243

so x = 45.7252243

finally we round to the nearest tenth and get that the answer is

45.7

4 0
3 years ago
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