Step-by-step explanation:
m< AOC = 90°
m< AOB +m<BOC = 90°
6x-12+3x +30 = 90°
9x +18° = 90°
9x = 90- 18° = 72°
x = 8°
m<AOB =6(8)-12 = 48-12 = 36°
Answer:
2) distance = 4 km
Displacement = 4 km east
3) distance = 35 km
Displacement = 5 km north
Step-by-step explanation:
2. He runs for 3 km in the east direction and then stops.. He now runs another 1 km in the same direction then stops.. Thus,
Total distance covered = 3 + 1 = 4 km
Total displacement is how far he is from his starting point = 3 + 1 = 4 km east
3) Runs 20km north and then runs 15 km back from starting point.
Thus;
Total distance covered = 20 + 15 = 35 km
Total displacement is distance from starting point = 20 - 15 = 5 km north
Subtracted because an opposite direction was taken after the 20km back to her starting point.
Answer:
67.5 pages
Step-by-step explanation:
45 divided by 2 is 22.5, so you would do 3x22.5=67.5
Hope this helped!
Answer:
8 positive integers.
Step-by-step explanation:
One value of n would be 15 because 225 = 15^2.
Other values are 225 * n where 15n <= 1000 and n is a perfect square.
So n = 4 gives us 225* 4 = 900 which is a perfect square and 15*4 = 60.
n = 9 gives us 225 * 9 which is a perfect square and 15*9 = 135.
n = 16 gives us 225*16 and 15*16 = 240 , so OK.
n = 25 gives a perfect square and and 15*25 = 375 - so OK.
n = 36 gives a perfect square and 15*36 = 540 - so OK.
n = 49 gives a perfect square and 15*49 = 735 - so OK.
n = 64 gives a perfect square and 15*64 = 960 - so ok.
n = 81 gives a perfect square and 15 * 81 = 1215 so NOT ok.
