Answer: A. (-2,8)
Step-by-step explanation:
We know that the rule for rotation of
is given by :-
, where (x,y) is the point of pre-image and (-y,x) is a point of image.
The given point of pre-image : A(8,2)
Then after rotation of
, we have the image point as :-

Hence, the image point of A(8,2) is (-2,8) .
You need to use the law of sines.
First, we find the measures of the angles x.
x + x + 100 = 180
2x + 100 = 180
2x = 80
x = 40
Now we set up an equation based on the law of sines.

We know one angle (100 deg) and its opposite side (750,000 miles).
Then we know another angle (40 deg) and need to find the opposite side (d).

Now we solve for d. Multiply both sides by sin 40.

Answer: The first choice.
Answer: 410526 books
Step-by-step explanation:
Let x equal the total number sold.
x × 0.076 = 31,200
x = 410526 books
1. D: The overlap of the two sets represents the intersection, which is the set of elements common to both sets <em>M</em> and <em>C</em>. In this case, it's the set {4, 5, 6}.
2. D: <em>P</em> is the set of the first 100 multiples of 8 (8*1 = 8, 8*2 = 16, and so on)
3. C: <em>n</em>(<em>A</em>) represents the number of elements in the set <em>A</em>. When

that means the sets <em>A</em> and <em>B</em> are disjoint, represented by the two circles with no overlap.
4. E:
is the set of elements belonging to either set <em>A</em> or <em>B</em>. The three elements of <em>A</em> are all in <em>B</em>, so <em>A</em> is a subset of <em>B</em>. This means
.
Because <em>A</em> is a subset of <em>B</em>, we have
.
is the complement of
, which refers to the set of elements *not* belong to
. These are all the numbers in <em>U</em> that are not in this union, which would be
.
Because we know
, we have
.
Answer:
<em>Buffalo's snowfall rate is 1.83</em>
Step-by-step explanation:
<u>Rate of change</u>
It usually refers to how fast one quantity changes with respect to another, frequently time.
In our problem, we are given the information on two snowfall rates, one during the winter of 2012–2013 in Buffalo, New York, and the other in Oswego, New York. Buffalo received 22 inches of snow in 12 hours. It means the rate of change or ratio of snowfall in time is:

The snowfall rate received by Oswego is:
