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4vir4ik [10]
3 years ago
5

If the greatest value of n is 9, which inequality best shows all the possible values of n?

Mathematics
1 answer:
zvonat [6]3 years ago
3 0
N is less than or equal to 9

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The net of a pyramid is shown below:
Shalnov [3]

Answer:

Step-by-step explanation:

height of pyramid = √(10²-(5/2)²) = √93.75

volume of pyramid = ⅓b²h = ⅓·5²√93.75 ≅ 80.69 in³

lateral area = 2×5×10 = 100 in²

base area = 5² = 25 in²

surface area = 100+25 = 125 in²

6 0
2 years ago
find the angle between the vectors. (first find the exact expression and then approximate to the nearest degree. ) a=[1,2,-2]. B
SashulF [63]

Answer:

\theta = cos^{-1} (\frac{10}{\sqrt{9} \sqrt{25}})=cos^{-1} (\frac{10}{15}) = cos^{-1} (\frac{2}{3}) = 48.190

Since the angle between the two vectors is not 180 or 0 degrees we can conclude that are not parallel

And the anfle is approximately \theta \approx 48

Step-by-step explanation:

For this case first we need to calculate the dot product of the vectors, and after this if the dot product is not equal to 0 we can calculate the angle between the two vectors in order to see if there are parallel or not.

a=[1,2,-2], b=[4,0,-3,]

The dot product on this case is:

a b= (1)*(4) + (2)*(0)+ (-2)*(-3)=10

Since the dot product is not equal to zero then the two vectors are not orthogonal.

Now we can calculate the magnitude of each vector like this:

|a|= \sqrt{(1)^2 +(2)^2 +(-2)^2}=\sqrt{9} =3

|b| =\sqrt{(4)^2 +(0)^2 +(-3)^2}=\sqrt{25}= 5

And finally we can calculate the angle between the vectors like this:

cos \theta = \frac{ab}{|a| |b|}

And the angle is given by:

\theta = cos^{-1} (\frac{ab}{|a| |b|})

If we replace we got:

\theta = cos^{-1} (\frac{10}{\sqrt{9} \sqrt{25}})=cos^{-1} (\frac{10}{15}) = cos^{-1} (\frac{2}{3}) = 48.190

Since the angle between the two vectors is not 180 or 0 degrees we can conclude that are not parallel

And the anfle is approximately \theta \approx 48

3 0
2 years ago
Which expression represents the inverse of y = 12x - 3
a_sh-v [17]
<span>y = x + 3 / 12
This is your answer.</span>
4 0
3 years ago
Read 2 more answers
Belle runs 16 times around a track that measures 1/4 mile long.
Darina [25.2K]
16/4 which could be simplified to be the whole number 4
5 0
2 years ago
Carmen has 240 action figures she wants to display in 4 bookcases. Each bookcase has 5 shelves, and each shelf gets the same num
Levart [38]

Answer:

60 books in one bookcase

12 books in one shelf

plz mark brainliest

Step-by-step explanation:

figures is one bookshelf =240/4

figures in each shelf=240/4*5

7 0
2 years ago
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