Answer:
<em>Jane traveled 8 miles farther then her trainer</em>
Step-by-step explanation:
<u>The Pythagora's Theorem</u>
In any right triangle, the square of the measure of the hypotenuse is the sum of the squares of the legs. This can be expressed with the formula:

Where
c = Hypotenuse or largest side
a,b = Legs or shorter sides
Jane's path from the Health Club to the end of her route describes two sides of a right triangle of lengths a=16 miles and b=12 miles.
Her total distance traveled is 16 + 12 = 28 miles
Her trainer goes directly from the Health Club to meet her through the hypotenuse of the triangle formed in the path.
We can calculate the length of his route as:


c = 20 miles
The difference between their traveled lengths is 28 - 20 = 8 miles
Jane traveled 8 miles farther then her trainer
Answer:
The graph will be discrete because there is no such thing as a partial person to sign up and the booth is set up once each day for sign ups.
Step-by-step explanation:
The difference between continuous and discrete graphs and functions is that a discrete function allows the variables to be only certain points in the interval, usually only integers; meanwhile, a continuous function allows the variables to be any points in the interval. Here, both variables are discrete, that is, the number of people is {0, 1, 2, 3, ...}, and days are {Monday, Tuesday, Wednesday, ...}
The answer is B.<span>1/6 turn counterclockwise.</span><span> why? well it is moving to the left and the clock moves to the right not the the left so that means it is counter clockwise. now to find out if it is 1/3 or 1/6 the circle has 360 degrees, and we already moved 60 so how much is 60 from 360 divide to find out 360/60=6. and since it is only one part it is 1/6 so B is your answer.</span>
The value of AD in triangle ABC is approximately 9 cm.
BC = 6cm
Using trigonometric ratio for triangle CBD
sin 60° = opposite / hypotenuse
0.86602540378 = DC / 6
cross multiply
DC = 6 × 0.86602540378
DC = 5.19615242271
DC = 5.20 cm
Let's find side AD as follows:
tan 60° = AD / adjacent
AD = 5.20 × tan 60°
AD = 9.00666419936
AD ≈ 9 cm
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Answer:
18x - 9
Step-by-step explanation:
Factor the common factor of 9 first which gives 
is the difference of two squares and factors into (2x + 1)(2x - 1)
The complete factorization of
is 9(2x + 1)(2x - 1).
So 9(2x - 1) = 18x - 9 is a factor of the original expression.