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Mathematics

1 answer:

lawyer [7]3 years ago

6 0

Answer:

Step-by-step explanation:

since the tan is opposite over adjacent

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In a class of 30 students, 6 have a brother and 12 have a sister. There are 14 students who do not have any siblings. What is th

NeTakaya

Answer:

32 siblings from the class theres a possibility that some students had more siblings and not everyone has one

Step-by-step explanation:

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3 years ago

Identify the middle line for the function: f (t) = 5sec(3t − π) + 1

sergiy2304 [10]

Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.

(t) = 0 gives
-24t + 60 = 0
t = 2.5
For this t, the second derivative s"(t) = -24 is negative. And so, s(t) is maximum for t = 2.5.
Maximum height is S = -12(2.5)^2 + 60(2.5) +8 = 233ft

6 0

3 years ago

Solve the following equation. X cubed minus 6X squared plus 6X equals zero

anyanavicka [17]

We have to solve this equation:

$x^3-6x^2+6x=0$

Third degree polynomials like this one are not easily solved, but this one has a root at x = 0. The let us factorize this polynomial as x times a second degree polynomial:

$\begin{gathered} x^3-6x^2+6x=0 \\ x(x^2-6x+6)=0 \end{gathered}$

Now we can find the roots of the quadratic polynomial as:

$\begin{gathered} x=\frac{-(-6)\pm\sqrt[]{(-6)^2-4\cdot1\cdot6}}{2\cdot1} \\ x=\frac{6\pm\sqrt[]{36-24}}{2} \\ x=\frac{6\pm\sqrt[]{12}}{2} \\ x=\frac{6\pm\sqrt[]{4\cdot3}}{2} \\ x=\frac{6\pm2\sqrt[]{3}}{2} \\ x=3\pm\sqrt[]{3} \\ x_1=3-\sqrt[]{3} \\ x_2=3+\sqrt[]{3} \end{gathered}$

Then, the solutions to the equation are:

x = 0

x = 3 - √3

x = 3 + √3

4 0

1 year ago

9/15 is equal to what

Aleonysh [2.5K]

9/15 is equal to 3/5

9/3 = 3

15/3 = 5

So your answer is 3/5.