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Nutka1998 [239]
3 years ago
15

A right rectangular prism and an oblique triangular prism are both 12 centimeters tall and have the same volume. What Statement

must be true about the two solids?

Mathematics
1 answer:
Eva8 [605]3 years ago
7 0
Check the picture.

The bases of the 2 prisms are on 2 parallel planes, a and b.

Let c be a third plane, between a and b, parallel to both.

Then, 

 the cross-sections A and B , of the 2 prisms, formed by plane c, have Equal Areas,

this is by Cavalier's Principle.

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Suppose that the universal set is U={1,2,3,4,5,6,7,8,9,10}. Express each of the following subsets with bit strings (of length 10
Vladimir [108]

Answer:

0011100000

1010010001

0111001110

Step-by-step explanation:

As the question is not complete, Here is the complete question.

Suppose that the universal set is U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. Express each of these sets with bit strings where the ith bit in the string is 1 if i is in the set and 0 otherwise.

a) {3, 4, 5}

b) {1, 3, 6, 10}

c) {2, 3, 4, 7, 8, 9}.

So, we need to express a) b) and c) into bit strings.

Firstly, number of elements in the universal set represent the number of bits in the bit string.

Secondly, 1 = yes element is present in both universal set as well as in sub set.

0 = No, element is not present in sub set but present in universal set.

Hence, we have:

a) Sub set {3,4,5} = 0011100000  (As there are 3 1's which means only 3,4,5 are present in both universal set and subset.

Similarly,

b) Sub set {1, 3, 6, 10} = 1010010001

c) Sub set {2, 3, 4, 7, 8, 9} = 0111001110

5 0
3 years ago
Sheldon is making a steak for dinner. at first, the steak is at room temperature, 72°Friday. then, he places it on the grill, wh
ohaa [14]
We start qt 72 degrees,
3 1/5 = 16/5 = 3.2 x 10 minutes = 32 degrees.
72 + 32 = 104 degrees. 
Cool Time:
 4 2/7 = 30/7 = 4.28571429 x 7 minutes = 30 degrees.
104 - 30 = 74
So we went from 72 to 74 degrees, that is a 2 degree difference. 
This is what i got, i hope i understood the question correctly.v
6 0
3 years ago
Michelle already owns 26 hair bands, and additional hair bands are priced 1 for a dollar With $21 to spend on new hair bands how
Pachacha [2.7K]

Answer:

47

Step-by-step explanation:

starts off with 26 and has $21 to spend, if there each $1 then she can buy 21 more so the answer is 26+21 which = 47

8 0
4 years ago
Given right triangle XYZ, which correctly describes the
Ymorist [56]

Answer:

a is adjacent, b is opposite, c is the hypotenuse

Step-by-step explanation:

A right angled triangle must contain the opposite, the adjacent and the hypotenuse. The opposite is the side that directly faces the angle of interest. The adjacent is the side that is close to the angle of interest.

Given that the angle Y is positioned between X and Z, the point b becomes the opposite of Y. The point a becomes adjacent to angle Y while c remains the hypotenuse of the right angled triangle.

The image below typifies the explanation given above. It shows the relationship between the three sides of the right angled triangle in detail.

8 0
3 years ago
Read 2 more answers
manny buys 4 boxes of straws for his restaurant. there are 500 straws in each box. how many straws does he buy?
horrorfan [7]
4 boxes with 500 straws each one

4 x 500 = 2000
3 0
3 years ago
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