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Blababa [14]
4 years ago
7

A rectangular box is constructed in 3-space with one corner at the origin and other vertices at (1, 0, 0), (0, 4, 0), (0, 0, 2).

Find the length of the diagonal of the box.
Mathematics
1 answer:
77julia77 [94]4 years ago
7 0

The space diagonal will have length ...

... d = √(1² +4² +2²) = √(1 +16 +4) = √21

_____

This can be found using the Pythagorean theorem. A drawing can help. Find the length of any face diagonal, then use that length as the leg of a right triangle whose hypotenuse is the space diagonal and whose other leg is the edge length not used in the first calculation.

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Fofino [41]
A) 5×(-3)×(-4)=60
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C) 8×(-2)×2=-32
D) (-2)×(-4)×5=40
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7 0
3 years ago
Please help me ASAP!!!! It is greatly appreciated!!! Will mark as Brainliest!!!!
Karo-lina-s [1.5K]

Answer: 5/4

Step-by-step explanation:

6 0
3 years ago
82, 62, 95, 81, 89, 51, 72, 56, 97, 98, 79, 85 order from least to greatest find the The median of the lower half of the data an
Studentka2010 [4]

Answer:

The median of the lower half of the data was determined to be 67 while the median of the upper half of the data was determined to be 92.

Step-by-step explanation:

<u>Step 1:  Order from least to greatest</u>

51, 56, 62, 72, 79, 81, 82, 85, 89, 95, 97, 98

<u>Step 2:  Determine the median of the lower half of the data</u>

There are 12 numbers which means that there is going to be 6 numbers on both sides of the data.  So using the first 6 numbers we will be able to determine the median of the lower half of the data.

51, 56, 62, 72, 79, 81

Since there is an even amount of numbers, that means that we will need to find the middle between the 3rd and 4th number.  We can do that by adding them up together and dividing by 2.

(62 + 72) / 2 = 67

Step 3:  <u>Determine the median of the upper half of the data</u>

So using the first 6 numbers we will be able to determine the median of the upper half of the data.

82, 85, 89, 95, 97, 98

Since there is an even amount of numbers, that means that we will need to find the middle between the 3rd and 4th number.  We can do that by adding them up together and dividing by 2.

(89 + 95) / 2 = 92

Answer: The median of the lower half of the data was determined to be 67 while the median of the upper half of the data was determined to be 92.

5 0
2 years ago
What type of numbers has exactly two factors?
nlexa [21]
Rime: A number with exactly two factors; one and itself. What does this mean? This means that for us to call a number prime, only two whole numbers can divide into it without a remainder. Here are a few examples: 2, 3, 5, 7, 11<span>, </span>13<span>, </span>17<span>, </span>19<span>, </span>23<span>, and so on.</span>
7 0
3 years ago
Find the area under the standard normal curve to the left of z=1.25.
snow_tiger [21]

For quite some time now, calculators have had statistical functions built in.  Here we need to use the stat. function normalcdf, which has only two inputs when we're working with z scores instead of raw scores.

Here,

normalcdf(-100,1.25) = 0.894

This same result could be obtained using a table of z-scores.

3 0
3 years ago
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