<span>Use the Pythagorean Theorem to solve. This will be a right triangle:
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Let the slope = the hypotenuse = c
Let one side = a=8
Let the other side =b =15
Plug-in the values and solve for the c-term
Check you answer by plugging the value of "c" back into the orignial equation and solve.
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17=c
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Check by plugging into the original equation and solve.
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289=289 [checks out]</span>
Answer:
37
Step-by-step explanation:
1+36=37
Radius = diameter/2
35/2 = 17.5
Lets write as an equation the info provided in the problem:
original area = 200*300 = 60000 squared meters
Adding x meters to the length is: 300 + x
Adding x meters to the width is: 200 + x
If the area doubles in size we have: 2*<span>60000
Now writing as a single equation all info:
(300 + x)(200 + x) = 120000
We have to make the operations and solve:
60000 + 300x + 200x + x^2 = </span><span>120000
x^2 + 500x - 60000 = 0
This is a squared trinomial, to solve it we need two numbers that subtracted give us 500 and multiplied -60000:
(x + 600)(x -100) = 0
So there are two solutions, x = -600 and x = 100, we choose the positive one:
x = 100
thererefore the value of x is 100 meters</span>
25 percent of x is equal to $1631.24
.25*4 is equal to 100 percent
Substitute
1631.24*4=x
x=6524.96