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Viktor [21]
3 years ago
6

Solve for c : 6/13=3/c

Mathematics
1 answer:
nexus9112 [7]3 years ago
7 0
Cross mutiply and the answer would be 13/2 or 6.5
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Find the area of a 120° sector of a circle whose radius is 6.
katrin [286]
First, determine the area of the whole circle by the equation, A = πr². Substituting,
                             A = π(6²) = 36π
Then, multiply this value with the ratio of the given angle to the whole revolution,
                            A(sector) = 36π x (120° / 360°)
The area of the sector is therefore 12π units².
3 0
3 years ago
Find the ratio of:<br> (a) 5 km to 400 m<br> (b) 2 hours to 160 minutes
aleksandr82 [10.1K]

Answer:

Answer - a) 1:80

               b) 1:80

Step-by-step explanation:

All the ratio should be written in lowest form. these are the answers for both the questions.

Pls Mark Brainliest !!!!!!!!!!!!!!

6 0
2 years ago
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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
2 years ago
Johnny rode his bike 4/7 of a mile from his house to the lake on a straight path. then, he turned around and rode his bike 3/1/8
iren [92.7K]
I hope this helps you



3 1/8=3.8+1/8=25/8


25/8-4/7


25.7/8.7-4.8/7.8


175-32/56


143/56

2 31/56

7 0
3 years ago
Read 2 more answers
22 ft.<br> 5 ft.<br> 13 ft.\<br><br> i think you have to multiply im not sure
NemiM [27]
110 that's the answer I think
6 0
3 years ago
Read 2 more answers
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