Answer:
1 over 12 or 1/12
Step-by-step explanation:
there are 6 side on a dice. rolling a five is a 1 out of 6 chance and an even number is a 3 out of six chance. multiply them together to get 3 out of 36 simplify to get 1 out of 12
Answer:
Step-by-step explanation:
<-- Given
<-- Distributive Property
<-- Find LCD of x-terms
<-- Combine Like Terms
<-- Add 45/8 to both sides
<-- Simplify Right Side
<-- Subtract 7 on both sides
<-- Divide both sides by 289/60
Answer: B= A/(C+D)
Step-by-step explanation:
A = B(C+D)
Divide each side by B
A/B= C+D
Reciprocate both sides
B/A = 1/(C+D)
Now multiply each side by A
B = A/(C+D)
By definition, if two lines share the same gradient, they are said to be parallel. So, we know for this equation, it must have a gradient of 1/2.
Now, since the point (-6, 4) passes through the line, we know it must satisfy the equation. Since we have a gradient/slope and a point, we can use the point-gradient form:
, where
represents the points being passed through.
Answer:
The rectangular coordinates of the point are (3/2 , √3/2)
Step-by-step explanation:
* Lets study how to change from polar form to rectangular coordinates
- To convert from polar form (r , Ф) to rectangular coordinates (x , y)
use these rules
# x = r cos Ф
# y = r sin Ф
* Now lets solve the problem
∵ The point in the rectangular coordinates is (√3 , π/6)
∴ r = √3 and Ф = π/6
- Lets find the x-coordinates
∵ x = r cos Ф
∵ r = √3
∵ Ф = π/6
∴ x = √3 cos π/6
∵ cos π/6 = √3/2
∴ x = √3 (√3/2) = 3/2
* The x-coordinate of the point is 3/2
- Lets find the y-coordinates
∵ y = r sin Ф
∵ r = √3
∵ Ф = π/6
∴ y = √3 sin π/6
∵ sin π/6 = 1/2
∴ y = √3 (1/2) = √3/2
* The y-coordinate of the point is √3/2
∴ The rectangular coordinates of the point are (3/2 , √3/2)
