Answer:

Step-by-step explanation:
Kindly refer to the image attached in the answer region for labeling of triangle.
<em>AB </em><em>= 16
</em>
<em>BC </em><em>= 19</em>
<em>AC </em><em>= 15
</em>

We have to find the <em>angles </em><em>x</em> and <em>y</em> i.e.
.
Formula for <em>cosine rule</em>:

Where
<em>a</em> is the side opposite to
,
<em>b</em> is the side opposite to
and
<em>c</em> is the side opposite to
.

Similarly, for finding the value of <em>y:</em>

Hence, the values are:

right 3 units down 5 units

right 3 units = (3,0)
down 5 units = (0,-5)
vertex = (h,k) therefore.

Then convert the vertex form into standard form for the equation in the choice.

Thus, the answer is B.
Since there is no repetition allowed, there are 10 possibilities for the 1st digit, 9 for the 2nd, 8 for the 3rd, and 7 for the 4th. This gives a total of (10)(9)(8)(7) = 5040 four-digit codes.
For all odd digits to be used, there are 5 possibilities for the 1st digit (1,3,5,7,9), 4 for the 2nd, 3 for the 3rd, 2 for the 4th. This gives a total of (5)(4)(3)(2) = 120 codes that only use odd digits.
Therefore there are 5040 - 120 = 4920 codes that do not consist of all odd digits. The probability is 4920/5040 = 41/42.
The expression that represent the area of the cut off part is 81π / 4
<h3>How to find area?</h3>
The area of the cut off part can be found as follows:
Area of a circle = πr²
where
Therefore, the cut off part is like 1 / 4th of a circle.
Hence,
area of the cut off region = πr² / 4
r = 9 inches
area of the cut off region = π9² / 4
area of the cut off region = 81π / 4
learn more on area here: brainly.com/question/15403474
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Answer:
61/18
Step-by-step explanation:
Make the mixed fraction an improper fraction first. So instead of 1 1/3, it'll be 4/3.
Now in a rectangular prism, there's two of each congruent sides (three pairs in total).
You'll need to multiply (4/3)(3/4) by 2 because there's two of them.
This gives you (1)(2) which equals 2.
Next, take another set --> (4/3)(1/3)(2) again because there's two of them.
This gives you (4/9)(2) which equals 8/9.
Last, take the last set --> (3/4)(1/3)(2)
This gives you (1/4)(2) which equals 1/2.
Now that you have all the areas of the rectangles, add them all together.
2+8/9+1/2 which equals 61/18 inches squared.