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Molodets [167]
3 years ago
11

Let u be an angle in the 4th quadrant with cos u=8/9 Then sin u=

Mathematics
1 answer:
lutik1710 [3]3 years ago
5 0
To solve for the last side of the triangle, use the Pythagorean Theorem:
(8)^2 + x^2 = (9)^2
x = sqrt of 17
However, this is a NEGATIVE sqrt 17 because the terminal side is in quadrant 4, meaning that this side is under the X-axis and therefore negative.
Now that you know the side opposite of u in the triangle, do opposite/hypotenuse.
sin u = -(sqrt 17)/9
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Cound someone please help me on this, I'm stuck. ​
Katyanochek1 [597]

Negative exponents work like this:

a^{-b}=\dfrac{1}{a^b}

So, in order to evaluate a negative exponent, you simply have to invert the base, and then raise to the positive equivalent of the exponent.

As an example, here are the first three exercises:

8^{-3}=\dfrac{1}{8^3}=\dfrac{1}{512}

(-4)^{-5}=\dfrac{1}{(-4)^5}=-\dfrac{1}{1024}

2k^{-4}=\dfrac{2}{k^4}

You can work out the rest applying this logic.

5 0
3 years ago
Please help
MrRa [10]

Answer:

About 99.7% of births would be expected to occur within 51 days of the mean pregnancy​ length

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Standard deviation = 17.

About what percentage of births would be expected to occur within 51 days of the mean pregnancy​ length?

51/17 = 3.

So, within 3 standard deviations of the mean.

About 99.7% of births would be expected to occur within 51 days of the mean pregnancy​ length

4 0
3 years ago
I really need help with this. can someone please help me
Andreyy89
Michael owns a small paper company called Michael Scott Paper Co.  He has 5 clients and needs to sell them each a specific amount of paper.  They have each ordered 3 3/10 worth of boxes.  He has to find out how many paper boxes he has to sell and how much extra paper (in tenths) he has total.

IF you want to turn it into a question, add:

How many paper boxes is he selling?
5 0
3 years ago
A coin is tossed 8 times. Which of the following represents the probability of the coin landing on heads all 8 times?
ElenaW [278]

Answer:

\large\boxed{\large\boxed{Probability=1/256\approx  0.0039}}

Explanation:

Since, there are two possible outcomes for every toss (head or tail), the sample space for<em> a coin tossed 8 times</em> is 2×2×2×2×2×2×2×2 = 2⁸ = 256.

<em>Landing on heads all 8 times</em> is just one of the possible outcomes: HHHHHHHH ⇒ 1.

Hence, the <em>probability </em>is calculated from its own definition:

Probability = number of favorable outcomes / number of possible outcomes

  • Probability=1/256\approx  0.0039\text{         }\leftarrow answer

8 0
3 years ago
¿Cuál es la probabilidad de que al lanzar un dado se obtenga un número impar y menor que 5?
NemiM [27]

Answer:

4/6 or 66.67 percent

Step-by-step explanation:

5 0
2 years ago
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