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mel-nik [20]
3 years ago
14

I’m a right triangle which of the following is the definition of the cosine ratio?

Mathematics
1 answer:
velikii [3]3 years ago
8 0
Option d) is correct answer
You might be interested in
How do compare ratios then simplify to find the answer
gogolik [260]

"Compare ratios" covers a lot of territory. If all you want to do is find which one is larger, you can subtract or divide.

(a/b) - (c/d) > 0 . . . . means a/b is larger

(a/b) / (c/d) > 1 . . . . means a/b is larger

These operations with fractions are done using the methods of arithmetic with fractions that you have been taught.

____

"Simplify" when applied to ratios usually means common factors are removed from each of the terms.

For example, the ratio 2:12 is a ratio of even numbers, so we know both numbers have a factor of 2. (2 is a factor common to both numbers.) When we divide them both by 2, we have the reduced ratio 1:6. That is, 2:12 simplifies to become 1:6.

(It is helpful to have a good working knowledge of multiplication tables when you approach problems in simplifying ratios.)

= = = = = = = = = =

In "quick and dirty" terms, you can do the subtraction ...

\dfrac{a}{b}-\dfrac{c}{d}=\dfrac{ad-bc}{bd}

That is, you really only need to find out if (ad) > (bc) to determine if (a/b) > (c/d). A similar result is obtained when you consider division ...

\displaystyle\frac{\left(\frac{a}{b}\right)}{\left(\frac{c}{d}\right)}=\frac{a}{b}\cdot\frac{d}{c}=\frac{ad}{bc}

This will be greater than 1 if (ad) > (bc), signifying that (a/b) > (c/d).

_____

Here's an example with numbers.

... Compare 6/7 to 43/50.

... The relationship of interest will be revealed by the products 6·50 = 300 and 7·43 = 301.

... Since 300 < 301, these tell us 6/7 < 43/50.

_____

We say the above methods are "quick and dirty" because the results may need to be simplified when you're done.

For example, subtracting 1/6 from 1/2 gives

... 1/2 - 1/6 = (1·6 - 2·1)/(2·6) = 4/12

Here, numerator and denominator have a common factor of 4. Removing that gives 4/12 = 1/3.

Even if you do this by the method of common denominators, you still need to reduce the result.

... 1/2 - 1/6 = 3/6 - 1/6 = (3-1)/6 = 2/6

This must be reduced to 1/3 by removing a common factor of 2 from numerator and denominator.

3 0
2 years ago
What is the 4th term in the sequence b(n)=1(-2)^n-1
mel-nik [20]
b(n)=1(-2)^n-1

When n = 4, 
b(4)=1(-2)^4-1

b(4)=16-1

b(4)=15

-------------------------------------------------------------

b(n)=1(-2)^{n-1}

When n = 4
b(4)=1(-2)^{4-1}

b(4)=1(-2)^3

b(4)=1(-8)

b(4)=-8

8 0
3 years ago
Hlp me plz i will give you guys 25 points
mart [117]
(A4+a2) hoped this helps
6 0
3 years ago
PLEASE HELP ASAP!!!!
ASHA 777 [7]

Answer:

(8+24)÷(12x4) the correct answer is B

7 0
3 years ago
Read 2 more answers
Robert wears a suit o work every day. In his closet, he has 3 blazers, 5 button-up shirts, 12 bow ties, 6 pairs of pants, and 3
mars1129 [50]

Answer: 3

Step-by-step explanation:

He can put 3 different outfits together

3 0
3 years ago
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