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Svet_ta [14]
3 years ago
11

Which is the best approximation of 90? A.9.5 B.11.4 C.7.6 D.11.1

Mathematics
2 answers:
yan [13]3 years ago
5 0

Answer:

9.5

Step-by-step explanation:

square root 90 and you get 3 square root of 10 which is around 9.486

ohaa [14]3 years ago
4 0

Answer:

A.) 9.5

Step-by-step explanation:

The best approximation would be 9.5

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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
3 years ago
Hi there just wondering does my work look good <br><br> The teacher says it need to look perfect
Artist 52 [7]
Yea I think it looks good
4 0
3 years ago
Read 2 more answers
7/9+5/6·1/3<br> write it in simplest form
Talja [164]

Answer:

19/18

Step-by-step explanation:

simplify x/3

simplify 5/6

simplify 7/9

8 0
3 years ago
Allentown got 2 feet less than twice the amount of snow Georgetown got . Allentown got 3 feet more snow than Georgetown. How man
Mandarinka [93]


x=2y-2

x=y+3

Substitute the second equation into the first

y+3=2y-2

solve for y

y=5

plug into original

x=y+3=5+3=8 or x=2(5)-2=8

Allentown got 8 ft of snow, Georgetown got 5 ft of snow.

4 0
3 years ago
Read 2 more answers
Help don't forget to put the work thank you
marysya [2.9K]

Answer:

<em>(J) </em>

Step-by-step explanation:

If the scale factor of dilation is greater than 1, the image is an enlargement.

If the scale factor of dilation is between 0 and 1, the image is a reduction.

6 0
3 years ago
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