Answer:
110
Step-by-step explanation:
There is a theorem that says "The measure of an angle formed by a secant and a tangent drawn from a point outside the circle is HALF the difference of the intercepted arcs "
Hence we can say:

We can say:

Also, we know that circle's degree measure is 360, thus we can say:

To find Arc AB, we can use the two equations and add, thus we get:

Thus, arc AB = 360 - 250 = 110
2nd answer choice is right.
Answer: D
Step-by-step explanation:
c = 1.5 x 6 +5 = 14 USD
<u>The minimum distance is 492 meters from the house (500 - 8 = 492), and the maximum distance is 508 meters from the house (500 + 8 = 508). The dog may be slightly closer to the house, depending on how long the dog is, or if Morgan is using a leash extender.</u>
Answer:
Step-by-step explanation:
a) Mean = (17 + 11 + 15 + 14 + 16)/5 = 14.6
Standard deviation = √(summation(x - mean)²/n
n = 5
Summation(x - mean)² = (17 - 14.6)^2 + (11 - 14.6)^2 + (15 - 14.6)^2 + (14 - 14.6)^2 + (16 - 14.6)^2 = 21.2
Standard deviation = √(21.2/5 = 2.06
Approximating to 1 decimal place, s = 2
The new data set is
68, 44, 60, 56, 64
Mean = (68 + 44 + 60 + 56 + 64)/5 = 58.4
Summation(x - mean)² = (68 - 58.4)^2 + (44 - 58.4)^2 + (60 - 58.4)^2 + (56 - 58.4)^2 + (64 - 58.4)^2 = 339.2
Standard deviation = √(339.2/5 = 8.24
c) The standard deviation of the new data is 4 times the standard deviation of the previous data
In general, multiplying each data value by the same constant c results in the standard deviation being |c| times as large.
d) s = 2.1 miles
Since 1 mile = 1.6 kilometers, the constant with which we would multiply the given standard deviation is 1.6. Therefore, converting to kilometers, it becomes
1.6 × 2.1 = 3.36 km
Answer:
the answer is
(x + 3, y – 5)
Step-by-step explanation:
problem solving