Answer:
diameter = 4√17;
radius = 2√17; and
center: (4,6)
Step-by-step explanation:
The end points J (12,4) and K(-4,8) define the diameter of a circle, as well as the radius and center.
Using the distance formula to find the diameter, d, we get:
d = √ ( (12+4)^2 + (4-8)^2 ) = √ ( 256 + 16 ), or √272 = √(8)(34)
= √(17)(2^4)) = 4√17
and the radius is half that, or 2√17. The coordinates of the center can be found using the midpoint rule: ( [12-4]/2, [4+8]/2 ), or (4, 6).
Answer: The sum of the series is 2,548.
In a geometric series, the values are being multiplied by a constant rate. In this series, we are started at 7 and multiplying by 3.
Our series would be:
7 21 63 189 567 1701
If we add up those values, we have a total of 2,548.
Answer:
section A holds 23,500 Section B holds 11,750 And Section C holds 11,750
Step-by-step explanation:
Section A is half of the stadium so divide 47,00 by 2 you get 23,300 so that is Section A than b and c are the other half for divide 23,500 by 2 and you get 11,750
Answer:
g = 15
Step-by-step explanation:
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
7*g+8*(6*g+3)-(849)=0
Step by step solution :
Step 1 :
Step 2 :
Pulling out like terms :
2.1 Pull out like factors :
6g + 3 = 3 • (2g + 1)
Equation at the end of step 2 :
(7g + 24 • (2g + 1)) - 849 = 0
Step 3 :
Step 4 :
Pulling out like terms :
4.1 Pull out like factors :
55g - 825 = 55 • (g - 15)
Equation at the end of step 4 :
55 • (g - 15) = 0
Step 5 :
Equations which are never true :
5.1 Solve : 55 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation :
5.2 Solve : g-15 = 0
Add 15 to both sides of the equation :
g = 15
Hope this helps
Answer:
The probability that Kelly will place 1st and Andy will place 2nd is 1/90, or 1.11%.
Step-by-step explanation:
Since Kelly Slater and Andy Irons are in a surf competition among 10 competitors, to determine, if all surfers are at an equal surfing level, then what is the probability that Kelly will place 1st and Andy will place 2nd, the following calculation must be performed:
1/10 x 1/9 = X
0.1 x 0.11 = X
0.01111 = X
1/90 = 0.011111 = X
Therefore, the probability that Kelly will place 1st and Andy will place 2nd is 1/90, or 1.11%.
