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SCORPION-xisa [38]
3 years ago
9

Which statements about this prism partially packed with unit cubes are true? Check all that apply.

Mathematics
2 answers:
Firlakuza [10]3 years ago
6 0

Answer:

We have that the dimensions are:

height = 3

length = 3

width = 4

so in each layer of cubes, we have 3*4 = 12 cubes, and we have 3 layers.

1) The middle layer of cubes is missing 7 unit cubes.

In this layer, we have 5 cubes, and in each layer, we should have 12.

12 - 5 = 7

so this statement is true.

2) There are 9 unit cubes stacked in the prism.

Only in the bottom layer, we have 9 cubes, 5 in the second and 2 in the third one, a total of 16 cubes. this statement is false.

3) There are 7 unit cubes that are hidden from view inside the prism.

We have 16 cubes inside, and we can see 9 of them, so the ones we can not see are:

16 - 9 = 7

This statement is true

4) The volume of the prism can be found by because there are 12 cubes in each layer and there are 3 layers of cubes.

This is true, the volume of the prism is equal to 3*12 = 36 cubes

5) The volume of the prism can be found by doubling the number of cubes in the prism because it is half full.

inside the prism, we have 16 cubes, and the full prism would have 36 cubes, so it is not half full, this statement is false.

mars1129 [50]3 years ago
4 0

Answer:

The middle layer of cubes is missing 7 unit cubes

There are 7 unit cubes that are hidden from view inside the prism

The volume of the prism can be found by because there are 12 cubes in each layer and there are 3 layers of cubes.

Step-by-step explanation:

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Dennis_Churaev [7]
The probability is 0.08.

The probability that the first roll is a 4 is 1/6, since there is one 4 out of six total possibilities.
The probability that the second roll is an even number is 3/6, since there are 3 even numbers out of 6 possibilities.

Together, we have 1/6(3/6) = 3/36 = 0.08
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Find, corrrect to the nearest degree, the three angles of the triangle with the given vertices. D(0,1,1), E(-2,4,3), C(1,2,-1)
Sholpan [36]

Answer:

The three angles of the triangle given above are 23, 73 and 84 correct to the nearest degree. The concept of dot product under vectors was applied in solving this problem. The three positions forming the triangle were taken as positions vectors. The Dot product also known as scalar product is a very good way of finding the angle between two vectors. ( in this case the sides of the triangle given above). Below is a picture of the step by step procedure of the solution.

Step-by-step explanation:

The first thing to do is to treat the given positions in space as position vectors which gives us room to perform vector manipulations on them. Next we calculate the magnitude of the position vector which is the square root of the sun of the square of the positions of the vectors along the three respective axes). Then we calculate the dot product. After this is calculated the angle can then be found easily using formula for the dot product.

Thank you for reading this and I hope it is helpful to you.

4 0
4 years ago
1. How many ways are there to make an octagon with 19 different sticks when order DOESN’T matter?
Phantasy [73]

Answer: 1. 75582 2. 3047466240

Step-by-step explanation: 1.  If order does not matter, this is a combination problem.  You are choosing 8 sticks from a set of 19. (Octagons have 8 sides.) The formula for combinations of n things chosen r at a time "n choose r" is

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A rectangle I'd formed by placing two identical squares side by side. The area of the rectangle is two centimeters squared. What
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Answer:

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let x represent that

making 2x length of the rectangle

area of a rectangle=length x width

2cm²=2x×x

2cm²=2x²

2cm²/2=2x²/2

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1√cm²=√x²

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