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babymother [125]
3 years ago
5

What is the sine value of 5 pi over 3 ? (5 points)

Mathematics
1 answer:
allsm [11]3 years ago
3 0

Answer: The result can be shown in multiple forms.

Exact Form:

− √ 3 /2

Decimal Form:

− 0.86602540 …

Step-by-step explanation:

Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because sine is negative in the fourth quadrant.

− sin ( π/3 )

The exact value of  

sin ( π /3 )  is  √ 3 /2 .

− √ 3 /2

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How do you simplify 3 1/4 x 3/5 someone please help me
kifflom [539]

Answer:

We want to simplify:

(3 + 1/4)*(3/5)

The first step is to write the first term as a single rational number.

We know that:

3*1 = 3

and 4/4 = 1

then:

3*1 = 3*(4/4) = (3*4)/4 = 12/4

We do this because we want to have the same denominator in both numbers, so we can directly add them.

Then we get:

(3 + 1/4)*(3/5) = (12/4 + 1/4)*(3/5) = (13/4)*(3/5)

And remember that in the multiplication of rational numbers the numerator are multiplied together and the same for the denominators, then we get:

(13/4)*(3/5) =  (13*3)/(4*5)

If we solve the multiplications we get:

(13*3)/(4*5) = (39/20)

Now, we can notice that in the numerator we have two prime numbers, 13 and 3.

And in the denominators, we have a 4 (which is equal to 2*2) and a 5.

So the prime numbers in the numerator and the denominator are all different, this means that we can not simplify it furthermore.

Then we have:

(3 + 1/4)*(3/5) = (39/20)

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Minchanka [31]
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3 years ago
I’m really bad at proofs like really bad can someone help with 20 and 21
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Step-by-step explanation:

20.

In each proof, start by looking at what you're trying to prove.  We want to prove that two triangles are congruent.  To do that we use one of the following: SSS, SAS, ASA, or AAS.

To decide which one to use, look at the information given.  We're given two pairs of congruent sides, so we can narrow the strategy down to either SSS or SAS.  We aren't told anything about the third pair of sides, but we <em>can</em> see that ∠JNK and ∠MNL are vertical angles.  We'll use this to show the triangles are congruent by SAS.

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3. NK ≅ NL, Given

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21.

Repeat the same steps as 20.  Again, we're trying to prove two triangles are congruent, so we have 4 strategies to choose from.  Just like before, we're given two pairs of congruent sides, so we'll use either SSS or SAS.  And again, we aren't told anything about the third pair of sides, but we can see that both triangles are right triangles.  So we'll use SAS again.

1. MN ≅ PQ, Given

2. ∠LMN ≅ ∠NQP, Right angles are congruent

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Answer:

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Step-by-step explanation:


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