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kobusy [5.1K]
3 years ago
10

If sin theta= 2/3 and tan theta<0, what is the value of cos theta

Mathematics
2 answers:
Sergeeva-Olga [200]3 years ago
8 0
Cos
θ
=
√
5
3

or it could be cos
θ
=
√
5
−
3

Explanation:
Since sin
θ
is negative, it can be in the third or fourth quadrant
Drawing your right-angled triangle, place your
θ
in one of three corners. Your longest side will be 3 and the side opposite the
θ
will be -2. Finally, using Pythagoras theorem, your last side should be
√
5

Now, if your triangle was in the third quadrant, you would have
cos
θ
=
√
5
−
3
since cosine is negative in the third quadrant
But if your triangle was in the fourth quadrant, you would have
cos
θ
=
√
5
3
since cosine is positive in the fourth quadrant
PilotLPTM [1.2K]3 years ago
6 0

Answer: - sqrt 5 / 3

Step-by-step explanation:

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Alexa has, 2 nickels, 1 quarter, and 3 pennies. How much money does she have?
UkoKoshka [18]

Answer:

38 cents

Step-by-step explanation:

quarter= 25

nickles= 5

pennies= 1

5+5+25+3= 38

6 0
3 years ago
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A bag contains 7 red marbles, 3 blue marbles and 5 green marbles. If three marbles
worty [1.4K]

Answer:

3.7%

Step-by-step explanation:

We know that from this situation, the probability of drawing a single green marble is 1/3. However, to find the probability of drawing 3 green marbles, we will need to do:

P= \frac{1}{3}* \frac{1}{3}*\frac{1}{3}

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P= \frac{1}{27}

This converts to a percentage of:

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We get a percentage of 3.7%

8 0
3 years ago
Find the product or type<br> "impossible"<br> [6 ]I-1<br> 1 11<br> (-5<br> -5 3
ValentinkaMS [17]

Answer:

"impossible"

Step-by-step explanation:

I think.  :/

4 0
3 years ago
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(3x3 + 2x2 − 5x) − (8x3 − 2x2).
uranmaximum [27]
My answer -

-5x^3+4x^2-5x

P.S

Have an AWESOME!!! LBGT Day :)


3 0
3 years ago
Read 2 more answers
The formula below, Newton's law of cooling, allows us to calculate the temperature of an object as it cools. T = R + (T0 − R)e-k
trasher [3.6K]
The Newton`s law of cooling:
T = R + ( To - R ) * e ^(-kt )
We know that: T = 32° F ( the water freezes at 32° F ), To = 55° F, R = 5° F
and the cooling rate is:  k = 0.012.
33° F = 5° F + ( 55° F - 5° F ) · 2.72^(-0.012 t )
33 - 5 = 50 · 2.72^(-0.012 t)
27 = 50 · 2.72^(-0.012 t)
2.72^(-0.012 t) = 27/50
1 / 2.72^(0.012 t) = 0.54
2.72^( 0.012 t ) = 1 : 0.54 = 1.85
0.012 t = log(base e) 1.85 = ln 1.85 = 0.6
t = 0.6 : 0.012 = 50
Answer: It would take 50 minutes.
 

7 0
3 years ago
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