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3241004551 [841]
3 years ago
14

Carlos find the absolute value of -5 3/10 and then find is the opposite of his answer Jason finds the opposite of -5 3/10 and th

en explain the absolute value of his answer who is the final value is greater explain
Mathematics
1 answer:
a_sh-v [17]3 years ago
4 0

we know that

5 \frac{3}{10}= \frac{5*10+3}{10} = \frac{53}{10}

Step 1

<u>Carlos's method</u>

1) <u>Find the absolute value of -\frac{53}{10}</u>

\left|-\frac{53}{10}\right|=\frac{53}{10}

2) <u>Find the opposite</u>

opposite=-\frac{53}{10}

Step 2

<u>Jason's method</u>

1) <u>Find the opposite of  -\frac{53}{10}</u>

opposite=\frac{53}{10}

2) <u>Find the absolute value </u>

\left|\frac{53}{10}\right|=\frac{53}{10}

Step 3

<u>Compare the answers</u>

\frac{53}{10} > -\frac{53}{10}

therefore

<u>The answer is</u>

The greater value is obtained with the method of Jason

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14. Find the distance between (7,217pi/180 ) and (5,-23pi/36 ) on the polar plane.
irina [24]

Answer: the distance is  3.49 units

Step-by-step explanation:

There are some ways to find the exact distance, i will calculate the distance in rectangular coordinates.

When we have a point (R, θ) in polar coordinates, we can transform it into rectangular coordinates as:

x = R*cos(θ)

y = R*sin(θ)

Then we have:

(7,217pi/180 )

R = 7

θ = (217/180)*pi

x = 7*cos( (217/180)*pi) = -5.59

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So this point is (-5.59, -4.21) in rectangular coordinates.

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So this point is (-2.11, - 4.53)

Then the point distance between those points is:

D = I (-2.11, -4.53) - (-5.59, -4.21) I

D = I (-2.11 + 5.59, -4.53 + 4.21) I

D = I (3.48, -0.32) I = √( (3.48)^2 + (-0.32)^2) =  3.49

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3 years ago
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Answer:

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Step-by-step explanation:

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Answer:

A. (3, -2)

Step-by-step explanation:

A 180° rotation about the origin places an object in the quadrant diagonal to the one it started in.  Moving the object two 90° turns, will place it in a coordinate that will make the values of 'x' and 'y' opposite to the initial value.  In this case, vertex A has an initial point of (-3, 2), so after a 180° rotation, it would be (3, -2).

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