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tatuchka [14]
3 years ago
15

3. Find cos(A). Show your work and reduce the ratio if necessary.

Mathematics
1 answer:
anygoal [31]3 years ago
5 0

Answer:

cosA = \frac{3}{5}

Step-by-step explanation:

cosA = \frac{adjacent}{hypotenuse} = \frac{AB}{AC} = \frac{30}{50} = \frac{3}{5}

You might be interested in
Simplify<br> a(cube)-1000b(cube)<br> 64a(cube)-125b(cube)
Elanso [62]

The simplification of a³ - 1000b³ and 64a³ - 125b³ is (a - 10b) × (a² + 10ab + 100b²) and 4a - 5b) • (16a² + 20ab + 25b²) respectively.

<h3>Simplification</h3>

Question 1: a³ - 1000b³

a³ - b³

= (a-b) × (a² +ab +b²)

  • 1000 is the cube of 10
  • a³ is the cube of a¹
  • b³ is the cube of b¹

So,

(a - 10b) × (a² + 10ab + 100b²)

Question 2: 64a³ - 125b³

a³ - b³

= (a-b) × (a² +ab +b²)

  • 64 is the cube of 4
  • 125 is the cube of 5
  • a³ is the cube of a¹
  • b³ is the cube of b¹

So,

(4a - 5b) • (16a² + 20ab + 25b²)

Learn more about simplification:

brainly.com/question/723406

#SPJ1

8 0
2 years ago
What is the meaning of mathematics ​
Nonamiya [84]

Answer:

mathematics is the study of numbers shapes and patterns

6 0
3 years ago
G(x) = x to the power of 2 - 6 over 3x + 10 &amp; g(4) = what over what
dalvyx [7]

Answer:

We have that:

g(x) = \frac{x^2 - 6}{3*x + 10}

And we want to find the value of g(4)

Then we are evaluating the function g(x) in x = 4, this means that we need to locate all the "x" in g(x), and replace them by 4.

If we do that, we get:

g(4) = \frac{4^2 - 6}{3*4 + 10}

Now we can just solve this to get:

g(4) = \frac{4^2 - 6}{3*4 + 10} = \frac{16-6}{12-10} = \frac{10}{2}  = 5

8 0
3 years ago
Michael's babysitting is 20 years old. Michael is 8 years old. How much older is his babysitter than Micheal?​
iogann1982 [59]

Answer:

12 years

Step-by-step explanation:

20-8=12

Micheal's babysitter is 12 years older than Micheal.

8 0
2 years ago
How many solutions exist for the given equation? 0.75(x 40) = 0.35(x 20) 0.35(x 20) zero one two infinitely many
zimovet [89]

Answer:

One solution

Step-by-step explanation:

0.75 (x + 40) = 0.35 (x + 20) + 0.35 (x + 20)

0.75x + 30 = 0.35x + 7 + 0.35x + 7

0.75x + 30 = 0.7x + 14

0.05x + 30 = 14

0.05x = -16

x = -320

Hope this helps!

7 0
2 years ago
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