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Goryan [66]
3 years ago
11

My assigned ratio is: 2:5 Give Two examples of ratios that are equivalent to my ratio:

Mathematics
1 answer:
horrorfan [7]3 years ago
5 0

Answer:

4:10 and 6:15 are equivalent to 2:5

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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
Which logaritnmic equation equivalent to the exponential equation below 5c=125
nataly862011 [7]
I assume you meant to write 5^c = 125. The equivalent logarithmic expression for this would be ㏒₅125=c.
3 0
3 years ago
What is the area of a square rug that measures 6 feet on a side
erastovalidia [21]

Answer:

36

Step-by-step explanation:

A square has equal sides.

Area= lenth * width

6*6=36

4 0
3 years ago
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A jar contains 11 brown and 18 blue marbles. A marble is drawn at random. What is the probability that the marble is not blue?
fgiga [73]

Answer:

E

Step-by-step explanation:

7 0
3 years ago
36 is the same as _____ radians.
Over [174]
The formula is (degree)x(pi÷180)
36 x pi ÷ 180
0.63 rad
6 0
3 years ago
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