Answer:
If you roll two dices, you can get as results all numbers from 2 to 12. Among these, the prime numbers are 2, 3, 5, 7, 11. The probability you get each of them is: 2: you can get it only as 1+1, so one combination over 36 possibility. Probability: 1/36. 3: you can get it as 1+2 or 2+1, so two combinations over 36 possibility. Probability: 2/36. 5: you can get it as 1+4, 2+3, 3+2, 4+1, so four combinations over 36 possibility. Probability: 4/36. 7: you can get as 1+6, 2+5, 3+4, 4+3, 5+2, 6+1, so six combinations over 36 possibility. Probability: 6/36. 11: you can get it as 5+6 or 6+5 so two combinations over 36 possibility. Probability: 2/36. The total probability of getting a prime number is the sum of the probabilities, which is 15/36. So m=15, n=36 and 10m+n=150+36=186.
Look at one of the vertices of the heptagon where two squares meet. The angles within the squares are both of measure 90 degrees, so together they make up 180 degrees.
All the angles at one vertex must clearly add up to 360 degrees. If the angles from the squares contribute a total of 180 degrees, then the two remaining angles (the interior angle of the heptagon and the marked angle) must also be supplementary and add to 180 degrees. This means we can treat the marked angles as exterior angles to the corresponding interior angle.
Finally, we know that for any convex polygon, the exterior angles (the angles that supplement the interior angles of the polygon) all add to 360 degrees (recall the exterior angle sum theorem). This means all the marked angles sum to 360 degrees as well, so the answer is B.
Answer:
Step-by-step explanation:
Given that:
Distance to friends's house = 1.8 miles
Time taken = 12 minutes
Since the rate is constant :
The rate Is related to distance and time :
The two variable equation which represents the equation is :
Speed = Distance / time
Answer:
x = -1 and y = 6
Step-by-step explanation:
using x = -b/2a
x = -4 / 2(2)
x = -1
y = 2(-1)² + 4(-1) + 8
y = 2 - 4 + 8
y = 10 - 4
y = 6
Depends how strong the bomb is. If the bomb is weak then you would most likely go up 20-30 floors. If the bomb is in the middle go to the stair case and prepare for impact. If the bomb is strong go down 40 floors if possible. If none of this is possible to do and you don't know what to do about it then you must do the following:
Cut all of the wires in the bomb. Get the bomb near of a wall or a window. If it is a window then throw the bomb out of the window. If it is a wall put it as close to the wall as possible gather all your coworkers and run off of the floor.
Hope this helps!
