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faltersainse [42]
3 years ago
9

What is the diameter of a CD with a circumference of 36 centimeters?

Mathematics
1 answer:
olya-2409 [2.1K]3 years ago
5 0

Answer:

29.10626 cm

Step-by-step explanation:

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Abby used the law of cosines for TriangleKMN to solve for k.
torisob [31]

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:

  • a = k
  • b = 31
  • c = 53
  • A = 37°

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.

__

<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.

5 0
2 years ago
What is the sign of the product (–5)(–3)(–8)(–6)?
Likurg_2 [28]
The correct answer is B

EXPLANATION

Let us do the first product,

We have;

(-5)\times (-3)

We can re-group the sign and the numbers to obtain;

(-\times -)(5\times 3)

But we know that; negative times negative is positive. So the product becomes,

+(5\times 3)

Similarly for the second product,

We have;

(-8)\times (-6)

We can again re-group the sign and the numbers to obtain;

(-\times -)(8\times 6)

But we know that; negative times negative is positive. So the product becomes,

+(8\times 6)

Putting all together gives,

+(5\times 3) \times +(8\times 6)

Finally, positive times positive will also give positive. That is,

+(5 \times 3)(8 \times 6)
4 0
3 years ago
Read 2 more answers
Which inequality is true for x equals 20
lyudmila [28]

Answer:look up on google

Step-by-step explanation: is why we can see what the store says on this one because the article is a very good summary of the sentence and article took a sentence in the sentence.

5 0
3 years ago
I HATE MATH SM ITS NOT FUNNY, HELP ME (please)
a_sh-v [17]

Answer:

11) 2

12) 1

13) 6

14) 6

15) m<1=58°

m<2=122°

m<3=58°

m<5=122°

m<6=58°

m<7=122°

m<8=58°

Step-by-step explanation:

11) 2

12) 1

13) 6

14) 6

15) m<1=58°

m<2=122°

m<3=58°

m<5=122°

m<6=58°

m<7=122°

m<8=58°

4 0
3 years ago
Write an equation to match the situation below. Then, use your equation to solve for the variable.
MakcuM [25]
The equation is:
13.25h = 278.25

Solve for h in this case by dividing 278.25 by the 13.25 dollars per hour.

The answer will be:
21 hours
7 0
3 years ago
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