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Vlad [161]
3 years ago
10

If cosθ =1/3 , then sinθ = _____.

Mathematics
2 answers:
DedPeter [7]3 years ago
7 0
We are given:  cos theta = 1/3.  Thus, adj side = 1 and hyp = 3.  Using the Pythagorean Theorem to find the length of the opposite side, represented by x.  

1^2 + opp^2 = 3^2, or 1 + x^2 = 9, or x^2 = 8.  Here, x could be either sqrt(8) or -sqrt(8):  sqrt(8) if angle theta is in QI, and -sqrt(8) if in QIV.

Thus, the sine of angle theta could be either sqrt(8)/3 or -sqrt(8)/3.
bonufazy [111]3 years ago
7 0

Answer:

I'm pretty sure the answer for this is ±\frac{2\sqrt{2} }{3}

Step-by-step explanation:

I did the assignment.

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Someone please help me!!!!!
jolli1 [7]

Here is your answer wish you good luck

6 0
3 years ago
Simplify the following expression by combining like terms and factoring. 2(x-6)+4(2x+1)+3
Shkiper50 [21]

Answer:

5(2x - 1)

Step-by-step explanation:

Given

2(x - 6) + 4(2x + 1) + 3 ← distribute both parenthesis

= 2x - 12 + 8x + 4 + 3 ← collect like terms

= (2x + 8x) + (- 12 + 4 + 3)

= 10x + (- 5)

= 10x - 5 ← factor out 5 from each term

= 5(2x - 1) ← in factored form

4 0
3 years ago
Suppose 72 gallons of water came out of a pipe in 8 minutes.
Masteriza [31]

Answer:

9 gallons of water per minute

Step-by-step explanation:

First identify what you know:

1) The pipe was flowing water for eight minutes.

2) In that eight minutes, 72 gallons of water came out.

So, if 72 gallons of water came out in eight minutes, how many gallons flowed out in a single minute? Well, assuming that the flow rate was consistent, then simply divide the total number of gallons that flowed out, by the number of minutes the pipe was open!

72/8 = 9

The pipe released 9 gallons of water per minute, thus resulting in 72 gallons of water in 8 minutes!

Hope this helps! :)

4 0
3 years ago
pls help.... Natalie plans to run 5 miles every week for 3 weeks. The first day of the first week she ran 1 1/5 miles. How mant
yarga [219]

Answer:

3 4/5

Step-by-step explanation:

If Natalie runs 5 miles each week and she already ran 1 1/5 then she will need to run 3 4/5.

5 - 1 1/5 = 3 4/5

7 0
2 years ago
Find the distance between the points. Round to the nearest tenth.<br> (1, 3) and (5.0)
Anna35 [415]

Answer:

1,2. 6.0

Step-by-step explanation:

That is the answer

5 0
3 years ago
Read 2 more answers
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