Answer:
Step-by-step explanation:
Total number of red disk=6
Total number of yellow disk=2
Total disk=6+2=8
Odd number=1,3,5,7=4
Odd number on red disk=1,3,5=3
Probability,
Using the formula
The probability of getting odd number disk=
The probability of getting odd numbered red disk=
The probability of selecting a red disk,given that an odd numbered disk is selected=
Using conditional probability
Answer:
>
Step-by-step explanation:
|x|=absoulte value of x which means whatever x is, make it positive
so first solve any division/multiplication
the only one is 12/46=6/23
so we do the absoulte value signs
-3+45-(-14)
-(-14)=+14
-3+45+14=56
absoulute value of 56=56
56+(-|-87+6/23|)
-87+6/23=-86 and 17/23
absoulte value of -86 and 17/23=86 and 17/23
there is a negative sign in front of the absoulte vaulue so make it negative
56-86 and 17/23=-30 and 17/23 or about -30.73913
There is a little-known theorem to solve this problem.
The theorem says that
In a triangle, the angle bisector cuts the opposite side into two segments in the ratio of the respective sides lengths.
See the attached triangles for cases 1 and 2. Let x be the length of the third side.
Case 1:
Segment 5cm is adjacent to the 7.6cm side, then
x/7.6=3/5 => x=7.6*3/5=
4.56 cm
Case 2:
Segment 3cm is adjacent to the 7.6 cm side, then
x/7.6=5/3 => x=7.6*5/3=
12.67 cmThe theorem can be proved by considering the sine rule on the adjacent triangles ADC and BDC with the common side CD and equal angles ACD and DCB.
Answer:
a + b + c + d = 230
Step-by-step explanation:
So first, I am going to write down everything that I can find out from the picture.
a + b = 115
c + d + (180 - a) + (180 - b) = 360
Now, I can use a + b = 115 to simplify c + d + (180 - a) + (180 - b) = 360.
c + d + (360 - (a + b)) = 360
c + d + (360 - 115) = 360
c + d +245 = 360
c + d = 115
Now I know that:
a + b = 115
c + d = 115
Now I can find a + b + c + d
a + b + c + d = (a + b) + (c + d) = 115 + 115 = 230
a + b + c + d = 230
