<span>The right information from the figure is:
AU = 20x + 108,
UB = 273,
BC = 703,
UV = 444,
AV = 372 and
AC = 589
The similarity of the two triangles leads to:
[AB] / [AC] = [AU] / [AV]
[AB] = [AU] + [UB] = 20x + 108 + 273 = 20x + 381
=> (20x + 381) / (589) = (20x + 108) / 372
Now you can solve for x.
(372)(20x + 381) = (20x + 108)(589)
=> 7440x + 141732 = 11780x + 63612
=> 11780x - 7440x = 141732 - 63612
=> 4340x = 78120
=> x = 18
Answer: x = 18
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Answer:
The correct answer is Option 1: s = 4/9pi feet
Step-by-step explanation:
Given that
The radius of circle is 8 feet
r = 8
Central angle is:10°
The arc length is denoted by s and is calculated by the formula:
Here x is the central angle
Putting the known values we will get:
The arc length is 4/9 pi feet.
Hence,
The correct answer is Option 1: s = 4/9pi feet
Answer as a fraction = 1/720
Answer in decimal form (approximate) = 0.001388
Answer in percent form (approximate) = 0.1388%
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Explanation:
Let A = 1 to indicate the number of ways to get the names to line up in alphabetical order.
There are B = 6*5*4*3*2*1 = 720 different ways to arrange the six people. Notice how I started at 6 and counted my way down to 1, multiplying all along the way. This can be shortened to factorial notation to say 6! = 720. Or you could use the nPr permutation formula to get the same result (use n = 6 and r = 6).
Once you have the values of A and B, we form the fraction A/B = 1/720 which is the probability of getting the names in alphabetical order.
If you need the answer in decimal form, then use your calculator to find
1/720 = 0.001388
which converts over to 0.1388%
Equation:
f(x) = 2.10x + 5
Paid $49.10
2.1x + 5 = 49.10
2.1x = 44.1
x = 21
The distance between airport and Ann's home = 21 miles
Answer: The first option.
Step-by-step explanation:
If you square you get
x=0