Answer:
7/9
Step-by-step explanation:
If the chances of an outcome are 2/9, the odds against it can be found by subtracting that from 1.
1 - 2/9
= 7/9
So, the odds against that outcome are 7/9
Answer:
C
Step-by-step explanation:
The center of inscribed circle into triangle is point of intersection of all interior angles of triangle.
The center of circumscribed circle over triabgle is point of intersection of perpendicular bisectors to the sides.
Circumscribed circle always passes through the vertices of the triangle.
Inscribed circle is always tangent to the triangle's sides.
In your case angles' bisectors and perpendicular bisectors intesect at one point, so point A is the center of inscribed circle and the center of corcumsribed circle. Thus, these circles pass through the points X, Y, Z and G, E, F, respectively.
Answer:
9.765625×10^6
Step-by-step explanation:
Simplify the following:
5^2×5^9/5
Hint: | Express 5^2×5^9/5 as a single fraction.
5^2×5^9/5 = (5^2×5^9)/5:
(5^2×5^9)/5
Hint: | For all exponents, a^n/a^m = a^(n - m). Apply this to (5^2×5^9)/5.
Combine powers. (5^2×5^9)/5 = 5^(9 + 2 - 1):
5^(9 + 2 - 1)
Hint: | Evaluate 9 + 2.
9 + 2 = 11:
5^(11 - 1)
Hint: | Subtract 1 from 11.
| 1 | 1
- | | 1
| 1 | 0:
5^10
Hint: | Compute 5^10 by repeated squaring. For example a^7 = a a^6 = a (a^3)^2 = a (a a^2)^2.
5^10 = (5^5)^2 = (5×5^4)^2 = (5 (5^2)^2)^2:
(5 (5^2)^2)^2
Hint: | Evaluate 5^2.
5^2 = 25:
(5×25^2)^2
Hint: | Evaluate 25^2.
| 2 | 5
× | 2 | 5
1 | 2 | 5
5 | 0 | 0
6 | 2 | 5:
(5×625)^2
Hint: | Multiply 5 and 625 together.
5×625 = 3125:
3125^2
Hint: | Evaluate 3125^2.
| | | 3 | 1 | 2 | 5
× | | | 3 | 1 | 2 | 5
| | 1 | 5 | 6 | 2 | 5
| | 6 | 2 | 5 | 0 | 0
| 3 | 1 | 2 | 5 | 0 | 0
9 | 3 | 7 | 5 | 0 | 0 | 0
9 | 7 | 6 | 5 | 6 | 2 | 5:
Answer: | 9765625 = 9.765625×10^6
Answer:
y = 2
Step-by-step explanation:
3y - 4 = 6 - 2y
5y = 10
y = 2
Answer:
Step-by-step explanation:
10a + 9b = 3c
Subtract 9b to isolate the variable a.
10a = 3c - 9b
Now we need a singular a, so divide equation by 10.
So that's how you do it.
