Answer:
A=920 ft.
Step-by-step explanation:
Using the formulas
A=2AB+(a+b+c)h
AB=s(s﹣a)(s﹣b)(s﹣c)
s=a+b+c
2
Solving for A
A=ah+bh+ch+1
2﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4=8·20+17·20+15·20+1
2·﹣84+2·(8·17)2+2·(8·15)2﹣174+2·(17·15)2﹣154=920
Answer:
Step-by-step explanation: if you want to obtain the probability that x<em> </em>-3 , then you need to add the probability for the cases x=-3 and x=-5.
p=0.13+0.17= 0.3
answer=0.3
Answer:
y = 5/6x -2
Step-by-step explanation:
Subtract 5x and divide by -6:
-6y = -5x +12 . . . .subtract 5x
y = 5/6x -2 . . . . . divide by -6
Answer:
Explanation:
The th term of an arithmetic sequence is explicitly defined as where is the first term of the sequence and is the the common difference.
From the given first five terms of the sequence we can see that the first term is so .
The common difference, , can be calculated by so we'll find the common difference of the given sequence by letting
.
Now let's plug everything we know.
Answer:
x = 3/2 + sqrt(17)/2 or x = 3/2 - sqrt(17)/2
Step-by-step explanation:
Solve for x over the real numbers:
x/x - 1 = x - 3 - 2/x
x/x - 1 = 0:
0 = x - 3 - 2/x
0 = x - 3 - 2/x is equivalent to x - 3 - 2/x = 0:
x - 3 - 2/x = 0
Bring x - 3 - 2/x together using the common denominator x:
(x^2 - 3 x - 2)/x = 0
Multiply both sides by x:
x^2 - 3 x - 2 = 0
Add 2 to both sides:
x^2 - 3 x = 2
Add 9/4 to both sides:
x^2 - 3 x + 9/4 = 17/4
Write the left hand side as a square:
(x - 3/2)^2 = 17/4
Take the square root of both sides:
x - 3/2 = sqrt(17)/2 or x - 3/2 = -sqrt(17)/2
Add 3/2 to both sides:
x = 3/2 + sqrt(17)/2 or x - 3/2 = -sqrt(17)/2
Add 3/2 to both sides:
Answer: x = 3/2 + sqrt(17)/2 or x = 3/2 - sqrt(17)/2