Answer:
Step-by-step explanation:
Left hand column
-780 works. The arm swings around the origin like a clock twice which makes - 720. You have - 60 left over so that one works.
- 420 works. The clock hand swings around the origin once clockwise. The arm still has -60 to go . - 60 is what you want.
300 will wind up in the same place as - 60. Both are in the 4th quad in the same place.
660 will do the same thing as 300. 660 - 360 = 300. Both 300 and -60 have same terminal arm.
-1020 looks like it works, but it does not. The clock hand swings around the origin twice. That's - 720. You still have - 300 to go. That puts you in the 1st quadrant not the 4th.
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Right hand column
You have to be careful with this one. The reasoning is just slightly different.
145 degrees is in the second quadrant. If you have - 215, the arm will wind up in the same place as 145 (in the second quadrant). What you are looking for is something that is either 145 or - 215
-575 = one revolution around (360) with a remainder of -215 so this one works.
-215 works. See introductory statement for this problem.
505 works. 505 - 360 = 145. The arm swings around the +x axis once and the remainder is 145.
865 works. The terminal arm swings around the + axis twice and gives 865 - 2*360 = 865 - 720 = 145.
There are 90 fifth-graders, and each student gives the teacher $9.25.
9.25 × 90 = 832.5
They gave a total of $832.50 to the teacher.
Admission for all of the students will cost $315
832.50 - 315 = 517.5
They have $517.50 left over for lunch.
Each student will get an equal amount of $ to spend on lunch.
517.50 ÷ 90 = 5.75
Each student will get $5.75.
Answer:
$24.20
Step-by-step explanation:
Multiply and add.
There are 7 colors, so the probability of drawing any color is 1/5 on the first draw. After the first draw, there are 34 marbles left, and 4 blue marbles left. So the probability of drawing a blue marble on the second draw is 4/34 or 2/17. After the second draw, there are 33 marbles left and 3 blue marbles left. The probability of drawing a blue marble on the third draw is 3/33 or 1/11. The total probability of drawing 3 marbles in a row is (1/5) * (2/17) * (1/11) which is equal 2/935.
You would want the fourth point to be (2, -2) so it can form a rhombus.