Answer:
D) 1/36
Step-by-step explanation:
You are trying to roll a 3 the first time, and then a 5 the second time. This means that order matters.
It is given to you, that you are rolling a standard die (6-sides). The dice is ordered in the following: 1, 2, 3, 4, 5, 6
The first time, you are rolling for a 3. Note that there is only one 3 in the sequence, so your chance of rolling a 3 is 1 out of 6: 1/6.
The second time, you are rolling for a 5. Note that there is only one 5 in the sequence, so your chance of rolling a 5 is 1 out of 6: 1/6.
Next, multiply the two fractions together to find the probability of rolling a 3 and then a 5:
1/6 x 1/6 = (1 x 1)/(6 x 6) = 1/36
D) 1/36 is your answer.
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What we have here is called INTERSECTING CHORDS IN A CIRCLE.
The equation is:
10 times x = 7 times 7
10x = 49
x = 49/10
x = 4.9
Answer:
Step-by-step explanation:
For the first problem, we can plug in the slope of 
for 
:
To solve for 
, we plug in the given point 
:
This gives us the equation:
For the second problem, we can plug in the slope of 
for :
To solve for , we plug in the given point 
:
This gives us the equation:
Answer:
125.6 cm²
Step-by-step explanation:
the area of sector = 225/360×3.14×8²
= ⅝ × 3.14 × 64
= 3.14 × 40
= 125.6 cm²
