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mafiozo [28]
3 years ago
15

What is the radius of the sun?

Mathematics
1 answer:
Harrizon [31]3 years ago
5 0
432,288 miles.
Google something like this lol
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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
Please help me with this??
Ludmilka [50]

Answer:

c, d and f are rational numbers

Step-by-step explanation:

c) 3\sqrt{5}*2\sqrt{5}=3*2*\sqrt{5*5} = 3*2*5 = 30\\\\\\d)  \dfrac{3\sqrt{5}}{2\sqrt{5}}= \dfrac{3}{2}\\\\\\f)  \dfrac{2\sqrt{5}}{3\sqrt{5}}= \dfrac{2}{5}

6 0
2 years ago
The volume of the triangluar block is 4 cubic inches. What is the approximate length of y?
Artist 52 [7]

The volume of the triangluar block is 4 cubic inches. What is the approximate length of y? -- 2.8 inches

3 0
3 years ago
You answer 12 emails in 15 minutes. How many emails can you answer in 2 hours?
Marysya12 [62]

Answer:

96

Step-by-step explanation:

you divide 60 min by 15 to get 4 then u multiply 12 × 4 =48 then multiply 48 × 2=96

8 0
3 years ago
What is the first step for multiplying decimal numbers?
dimulka [17.4K]
Read the question correctly
4 0
3 years ago
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