Answer:
Part (a)
36
Part (b)
Find the filled table in the attachment
Part (c)
1/36
Step-by-step explanation:
The total number of possible outcomes using the multiplicative rule is given by;
6*6 = 36.
There are 6 possible outcomes in rolling each die, we simply find the product.
The probability of rolling double sixes is given by;
pr(6 and 6) = pr(6) * pr(6) = 1/6 * 1/6 = 1/36
The probability of rolling double sixes represents independent events and thus we employ the multiplicative rule of probability.
Answer:
Step-by-step explanation:
first find the area of the rectangle, which would be 
yd²
then find the arc length of the sector, which is about 30.6yd
use the arc length to find the area of the sector, which is about 199.09yd²
add together the area of the rectangle and sector:
199.09 + 208 ≈ 407
Answer:
x = 10
y = 3
Step-by-step explanation:
Given
2x - 6y = 2
x + 6y = 28
Add both equations
2x + x -6y + 6y = 2 + 28
3x = 30
Divide both sides by 3
x = 30/3
x = 10
Substitute 10 for x in either equations to get y
Using equation 2 , we have
x + 6y = 28
10 + 6y = 28
Subtract 10 from both sides
10 - 10 + 6y = 28 - 10
6y = 18
Divide both sides by by 6
y = 18/6
y = 3
Therefore
x = 10
y = 3
Answer:
24
Step-by-step explanation:
BD=DC
5x-26=2x+1
5x-2x=1+26
3x=27
x=9
BC=2x+1
=2*9+1
BC =19
so AB=AC-BC
AB=43-19
AB=24
Answer:
6 cos Θ
Step-by-step explanation:
sin Θ cot Θ + 5 cos Θ =
= sin Θ × cos Θ / sin Θ + 5 cos Θ
= cos Θ + 5 cos Θ
= 6 cos Θ
