Answer:
let z=3-i
|z|=square root 10 r=square root 10
Ø=-pi/6
z=sqr 10 × e^i×pi/6
z=sqr 10(cos(-pi/6) +isin(-pi/6))
Answer:
B,D,and F
Step-by-step explanation:
I hope this helps you
The ordered pair that would represent a ratio that is equivalent to those shown is (8, 12)
<h3>Ratio and proportions</h3>
From the given diagram, we can create two coordinate points which are (2, 3) and (4, 6)
We need to determine the ordered pair would represent a ratio that is equivalent.
Multiplying the coordinate by a scale factor of 4 will give
A(2, 3) = A'(4(2), 4(3)) = (8, 12)
Hence the ordered pair that would represent a ratio that is equivalent to those shown is (8, 12)
Learn more on coordinate pair here: brainly.com/question/1528681
To determine which statement is true, first find the measure of the third interior angle. You can do that by subtracting the two known interior angle measures from 180, since interior angle measures of all triangles add to equal 180 degrees.
180 - 65 - 57 = 58
The measure of the third interior angle is 58°.
Now, the largest side of triangle is opposite its largest interior angle; that means the largest side of this triangle is the side opposite the angle that measures 65° - the side representing swim distance. This is true for the middle and smallest sides as well - they're opposite the middle and smallest interior angles. The following shows the sides from largest to smallest as they correspond to angle measures from largest to smallest.
65° = swim
58° = bike
57° = run
Now to finally determine which statement is true.
Statement A is false because run distance is the smallest distance of all three distances.
Statement B is false because, as we've said, run distance is the smallest distance.
Statement C is false because swim distance is greater than bike distance.
That means that the correct answer is D - the bike distance is greater than the run distance.