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avanturin [10]
2 years ago
5

This graph represents the positions of two turtles in a race.On the same axes, draw a line for a third turtle that is going half

as fast as the turtle described by line g.
Mathematics
1 answer:
brilliants [131]2 years ago
3 0

Answer:

step g

Step-by-step explanation:

it axis is giong up more than other turtle which makes more sense.

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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 fraction can be represented with a repeating decimal?<br> 3/20<br> 12/5<br> 7/16<br> 4/11
Dmitry [639]

Answer:

Thanks for asking!

Step-by-step explanation:

The answer would be 4/11. 3/20 in decimal form is 0.15. 12/5 is 2.4. 7/16 is 0.4375. 4/11 is 0.36 repeating.

8 0
3 years ago
Read 2 more answers
Solve for the roots in the equation below. x4 + 3x2 - 4 = 0
fgiga [73]
First, you need to rewrite the expression into binomial form, so you are working with two terms (as you world with a quadratic):
(x²)²-3(x²)-4=0
Now, you can place the x²s into brackets as the coefficient is now 1:
(x²  )(x²  )
Next, find out two numbers that add together to give you -3 and multiply to give -4 (these are the leftover integers after removing the x²s). These two numbers are -4 and 1.
Place the -4 and 1 into the brackets:
(x²-4)(x²+1)=0
Notice that the x²-4 is a difference of two squares, so can be further factorised into (x+2)(x-2)
This leaves you with a final factorisation of:
(x+2)(x-2)(x²+1)=0
Now we handle each bracket individually to obtain our four solutions for x:
x+2=0
x=-2
x-2=0
x=2
x²+1=0
x²=1
x=<span>±1</span>

8 0
3 years ago
What is 13/169 in simplest form?
PolarNik [594]
The answer is 1/13, because 13 goes into 169 13 times
3 0
3 years ago
Large balloons are sold in packages of 12. Select the expressions that can represent the total number of balloons in p packages
hammer [34]

Answer: For C and D you put the same answer but its D. P/ 12 which stands for p divided by 12.

Step-by-step explanation:

5 0
2 years ago
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