Answer:
3/4ths of a mile
Step-by-step explanation:
Just devide 3 by 4 because there are 4 people and 3 miles
The answer to the question is 3 8/33
The required probability is found as follows:
The answer is 0.113
Answer:
x=69.41860973
Step-by-step explanation:
We can use the law of sines
sin x sin 55
------------- = -----------
4 3.5
Using cross products
3.5 sin x = 4 sin 55
Divide each side by 3.5
sin x = 4/3.5 sin 55
Take the inverse sin of each side
x = sin ^-1 ( 4/3.5 sin 55)
x=69.41860973
Answer to part A: x = 8
Answer to part B: 30.80624847
The answer to part B is approximate. Round it however you need to
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Work Shown for part A
Because the triangles are similar, we can form the proportion shown below
ED/BC = AD/AC
Then using substitution, we can say
ED/BC = AD/AC
x/(x+4) = 10/(x+7)
Cross multiply and solve for x
x/(x+4) = 10/(x+7)
x(x+7) = 10(x+4)
x^2+7x = 10x+40
x^2+7x-10x-40 = 0
x^2-3x-40 = 0
(x-8)(x+5) = 0
x-8 = 0 or x+5 = 0
x = 8 or x = -5
Since ED = x, this means that x must be positive. Negative lengths don't make any sense.
So x = 8 is the only practical solution
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Work Shown for part B
Triangle AED is the smaller triangle with the legs
AD = 10
ED = x = 8
The hypotenuse is AE which is unknown for now. Let's call it y
AE = y
Use the pythagorean theorem to find the value of y
(AD)^2 + (ED)^2 = (AE)^2
10^2 + 8^2 = y^2
100 + 64 = y^2
164 = y^2
y^2 = 164
sqrt(y^2) = sqrt(164) ... "sqrt" stands for "square root"
y = sqrt(164)
y = 12.80624847 ... use a calculator to compute the square root of 164
Therefore AE is roughly 12.80624847 units long
Now that we know the three sides of triangle AED to be
AD = 10
ED = 8
AE = 12.80624847
Simply add up the three sides to get the perimeter
P = side1 + side2 + side3
P = AD + ED + AE
P = 10 + 8 + 12.80624847
P = 30.80624847
The perimeter is approximately 30.80624847
Round this value however you need to