The probability that the first random choice will be a matho-file and not a -phobe is 18/23. The probability of the second one is 17/22, and for the third one it's 16/21. The probability of all 3 is 4,896/10,626 = (18x17x16)/(23x22x21). That's 46.1% (rounded).
Answer:
15°
Step-by-step explanation:
AB is parallel to DC and AD is parallel to BC
Therefore, if you put Angle D and Angle C together it must form 180°
If Angle C = 120°, that means Angle D = 60°
Now you subtract 45 from 60 and that gives you 15.
Answer:
two dice are thrown, so S = {(1,1); (1,2); (1,3); ...;(6,5); (6,6)} ---> 36
the sum is 2, 4, 6
sum = 2 --> (1,1) ---> 1
= 4 --> (1,3); (2;2); (3,1) ---> 3
= 6 --> (1,5); (2,4); (3,3); (4;2); (5,1) ---> 5
⇒
= 9/36 = 1/4
20 jumps because 45/20 is 2.5 and 8 x 2.5 is 20.
Well I THINK triangle ABC is just a stretched out version of triangle DEF.
To find the area of a triangle, you multiply base and height, and divide by 2.
Area of DEF is 6, so that means that (4 * x)/2 = 6.
6*2 = 12....
4 * x = 12........
4 * 3 = 12.
x = 3.
Comparing DEF to ABC: ABC's base is 3 times as long as DEF's. So that means the height must be three times as long.
3*3 = 9.
(12 * 9)/2 =54