The answer is x=5. This is because you need to simplify both sides and then isolate the variable.
Answer:
area = 779.4 cm²
Step-by-step explanation:
divide it into 6 equal equilateral triangles. Each corner of a triangle will be 60°.
tan 60° = 15/x
1.7321 = 15/x
x = 8.66 (this is one-half of the base of the triangle)
base = 17.32 cm
area of one triangle = 1/2(17.32)(15) = 129.9 cm²
129.9(6) = 779.4 cm² (because 6 triangles make up the hexagon)
Answer:
the probability is 0.125
Step-by-step explanation:
The number of ways in which the mouse can move in the 4 turns is calculated using the rule of multiplication as:
<u> 2 </u>* <u> 2 </u> * <u> 2 </u>* <u> 2 </u> = 16
1st turn 2nd turn 3rd turn 4th turn
Because the mouse can take two options at every turn, right or left.
Now, from the 16 possibilities of movements, a mouse will find an exit in just two options:
1. right-right-left-left
2. left-right-right-left
So, the probability that a mouse will find an exit is:

Because, there are 16 possibilities and a mouse will find an exit using 2 of them.