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Mariana [72]
3 years ago
14

If a fair die is rolled 3 times, what is the probability, to the nearest thousandth, of getting exactly 0 twos?

Mathematics
1 answer:
julsineya [31]3 years ago
5 0
The answer is .578 you just do 5/6 due to the fact that there are 6 sides on a die and 1 side is a 2 so if you don’t get a two there is 5 sides left so you do 5/6 to the power of 3 leaving you with .578 and some
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sergejj [24]
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number 3 says,"If u and v are the measures of complementary angles such that sin u =2/5 and tan v =(square root of 21) 21/2, lab
vodomira [7]

Answer and Explanation:

Using trig ratios, we can express the given values of sin u and tan v as shown below

\begin{gathered} \sin u=\frac{opposite\text{ of angle u}}{\text{hypotenuse}}=\frac{2}{5} \\ \tan v=\frac{opposite\text{ of angle v}}{\text{hypotenuse}}=\sqrt[]{21} \end{gathered}

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We can find the value of u as shown below;

\begin{gathered} \sin u=\frac{2}{5} \\ u=\sin ^{-1}(\frac{2}{5}) \\ u=23.6^{\circ} \end{gathered}

We can find v as shown below;

\begin{gathered} u+v+90=180\text{   (sum of angles in a triangle)} \\ v+23.6+90=180 \\ v=180-113.6 \\ v=66.4^{\circ} \end{gathered}

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1 year ago
Triangle ABC is similar to triangle FGH. What is the value of x?
salantis [7]

Answer:

22.5

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find the scale factor

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or

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Answer:

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~~~~~~~~~~~~~~~~~~~~~~

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