State the quadrant in which the terminal side of each angles lies. 480^\circ

Step-by-step explanation:

Use only a non-collapsible compass and a straight-edge (not a ruler), construct a square with sides AB.

1. Have the compass length as AB.

2. Draw a straight line XY with a straight edge of length much greater than AB.

3. Now mark a point P on XY.

4. With P as center cut an arc on line XY for Q. Now PQ = AB.

5. With P as center cut two arcs on either side of line XY.

6. With Q as center cut two arcs on either side of line XY, so that they make two points with the arcs drawn with P as center.

7. Mark those points as R and S.

8. Now join P, R, Q, S.

9. Now we have a parallelogram PRQS. PR = RQ = QS = SP parallelogram with all sides equal is a rhombus.

10. The Diagonals of the rhombus are perpendicular to each other

11. Now Draw a line UV with points R ans S.

12. Now mark the point at which RS cuts PQ as A.

13. With A as center cut an arc on UV to get the point C.

14. With A as center cut an arc on XY to get the point B.

15. With B as center cut an arc on one side of XY.

16. With C as center cut an arc which cuts the ac drawn with B as center to get the point D.

17. Now ABCD is the required Square with side AB.

or

use compass and ruler

1.

Draw a line from the left side of your paper to the right using a ruler. Draw and label two endpoints. End point A will be on the left and end point B on the right. The distance from point A and point B will be labeled r. Distance r will be the length of each side of your square. Extend the line further to the right from point B to help in finding a new line that will be perpendicular to Line AB.

2.

Draw a perpendicular line upwards from point B. Using distance r, mark and label a new end point C. This will be the second side of the square at an exact 90 degree angle.

3.

Draw an arc with end point A as the center and r as the distance using a compass. Draw a second arc using end point C as the center and r as the distance. Mark and label where these two arcs meet as point D. This is the final corner for your square.

4.

Connect end point A to point D with your ruler. Connect end point C to point D.

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.

66.666666667%

step-by-step explanation:

divide 150 by 100

divide 100 by 1.5

there you go!

decreased by 33.333333334%