Answer:
(2, 4.5)
Step-by-step explanation:
The midpoint is the average of the end points.
M = (A + B)/2
= ((4, 4) + (0, 5))/2
= ((4+0)/2, (4+5)/2)
= (2, 4.5)
The improperfraction of 3 7/9 is 33/9.
A fraction that has the numerator higher than or equal to the denominator is said to be inappropriate.
When the numerator (upper number) exceeds the denominator, the fraction is said to be improper (bottom number).
Given:
We have to change 3 7/9 as an improper fraction.
As, we know that improper fraction have
So, 3 7/9
= ( 9 x 3 +7) /9
= (27 + 7)/ 9
= 33/ 9
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Answer:
C) 48.786, 152°
Step-by-step explanation:
To add the vectors u, v and w, we first need to rewrite each vector in component form (where vectors are represented using the unit vectors i and j along the x and y axes).
The (x, y) components of a vector, given its magnitude (r) and direction (θ), are (r cos θ, r sin θ), where θ is measured in the anticlockwise direction from the positive x-axis.
Every vector in two dimensions is made up of horizontal and vertical components, so any vector can be expressed as a sum of i and j unit vectors. Therefore, the i + y form of a vector is:
So, the component form of the given vectors are:
Sum the vectors:
Calculate the magnitude of the resultant vector ||R||:
The direction θ can be found by finding the angle with the horizontal, which is given by:
As the resultant vector is in quadrant II (since the i component is negative and the j component is positive), we need to add 180° to the value of tan⁻¹(y/x). Therefore:
Therefore: