Answer: The correct answer is a 72% discount.
Step-by-step explanation: The way to solve this problem is to calculate the amount of the discount and then calculate what percentage it is of the original price.
The steps to complete this:
$129.99 - $35.99 = $94 discount
$94 discount divided by $129.99 = 72.3% discount
-3pi/2 is the same thing as pi/2
the terminal point on the unit circle for pi/2 is (0,1)
so that means the terminal point for -3pi/2 is also (0,1).
Answer:
<h3>13 reams</h3>
Step-by-step explanation
Given
Total number of pages to complete the packet = 6400 pages
If each ream contains 500pages, then:
Total number of reams needed = Total pages/number of pages per ream
Total number of reams needed = 6400/500
Total number of reams needed = 12.8
<em>Hence you will need about 13 reams for all the packets</em>
Answer:
The answer will be -12 because you are multiplying 2x and -6
Answer:
m∠K = 37° and n = 31
Step-by-step explanation:
A lot of math is about matching patterns. Here, the two patterns we want to match are different versions of the same Law of Cosines relation:
- a² = b² +c² -2bc·cos(A)
- k² = 31² +53² -2·31·53·cos(37°)
<h3>Comparison</h3>
Comparing the two equations, we note these correspondences:
Comparing these values to the given information, we see that ...
- KN = c = 53 . . . . . . . . . . matching values 53
- NM = a = k . . . . . . . . . . . matching values k
- KM = b = n = 31 . . . . . . . matching values 31
- ∠K = ∠A = 37° . . . . . . . matching side/angle names
Abby apparently knew that ∠K = 37° and n = 31.
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<em>Additional comment</em>
Side and angle naming for the Law of Sines and the Law of Cosines are as follows. The vertices of the triangle are labeled with single upper-case letters. The side opposite is labeled with the same lower-case letter, or with the two vertices at either end.
Vertex and angle K are opposite side k, also called side NM in this triangle.
