Based on the right angle triangle and the given parameters, cos K = 5/13
<h3>Trigonometric ratios</h3>
- sin = opposite / hypotenuse
- cos = adjacent / hypotenuse
- Tan = opposite / adjacent
Given parameters:
- Hypotenuse = 13
- Adjacent = 5
- Opposite = 12
Therefore,
cos K = adjacent / hypotenuse
cos K = 5/13
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Answer:
B. <u>the distributive property</u>
Step-by-step explanation:
<u>Distributive </u><u>property</u> can be used to expand the expression -2(3/4x+7).
When that property is used, we need to distrubute the monomial to the binomial which is the two terms.

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10
A composite number is a positive integer. which is not prime (i.e., which has factors other than 1 and itself). The first few composite numbers (sometimes called "composites" for short) are 4, 6, 8, 9, 10, 12, 14, 15, 16, ... (OEIS A002808), whose prime decompositions are summarized in the following table.
Answer:
a=223.57
c=181.43
Step-by-step explanation:
a=405-c
substitute for a in the equation :
12a+5c=3590
12(405-c)+5c=3590
4860-12c+5c=3590
-7c=3590-4860
-7c=-1270
c=1270/7=181.43
a=405-1270/7
a=1565/7=223.57
Answer:
The solutions to the quadratic equations are:

Step-by-step explanation:
Given the function

substitute y = 0 in the equation to determine the zeros

Switch sides

Add 4 to both sides

Simplify

Rewrite in the form (x+a)² = b
But, in order to rewrite in the form x²+2ax+a²
Solve for 'a'
2ax = -6x
a = -3
so add a² = (-3)² to both sides


Apply perfect square formula: (a-b)² = a²-2ab+b²


solve

Add 3 to both sides

Simplify

now solving

Add 3 to both sides

Simplify

Thus, the solutions to the quadratic equations are:
