Answer:
11 units
Step-by-step explanation:
Length of side PS can be calculated using the distance formula, 
Where,
(the coordinate of P is gotten from the graph)
(given)
<span>P(At least one sum of 8) = 1 - P(No sums of 8)
P(At least one sum of 8) = 1 - (1 - 5/36)^2
P(At least one sum of 8) = 1 - (31/36)^2
P(At least one sum of 8) = 1 - 961/1296
P(At least one sum of 8) = 335/1296
So the answer is choice B
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Answer:
y = -1
Step-by-step explanation:
((3 • (5y + 2)) - y) - 2 • (y - 3) = 0
Step 2 :
Equation at the end of step 2 :
(3 • (5y + 2) - y) - 2 • (y - 3) = 0
Step 3 :
Step 4 :
Pulling out like terms :
4.1 Pull out like factors :
12y + 12 = 12 • (y + 1)
Equation at the end of step 4 :
12 • (y + 1) = 0
Step 5 :
Equations which are never true :
5.1 Solve : 12 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation :
5.2 Solve : y+1 = 0
Subtract 1 from both sides of the equation :
y = -1
One solution was found :
y = -1
24) mari=320
jen=160
25) David= 160 Aaron=55
26)Chaya= 65 Angelica=69 Jon=62
27) 8 in one group, 16 in the other
Answer:
0
Step-by-step explanation:
Let's define 3 areas:
- S = area of semicircle with radius 6 in (diameter AB)
- T = area of quarter circle with radius 6√2 in (radius AC)
- U = area of triangle ABC (side lengths 6√2)
The white space between the "moon" and the triangle has area ...
white = T - U
Then the area of the "moon" shape is ...
moon = S -white = S -(T -U) = S -T +U
The area we're asked to find is ...
moon - triangle = (S -T +U) -U = S -T
__
The formula for the area of a circle of radius r is ...
A = πr²
So, ...
S = (1/2)π(6 in)² = 18π in²
and
T = (1/4)π(6√2 in)² = 18π in²
The difference in areas is S -T = (18π in²) -(18π in²) = 0.
There is no difference between the areas of the "moon" and the triangle.
