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Taya2010 [7]
3 years ago
12

Please show your work

Mathematics
1 answer:
kondaur [170]3 years ago
6 0

Answer:

7.848

Step-by-step explanation:

  • Multiply the 6 and 8 to get 48

Since 48 is greater than 9, you'll have to carry the 4

  • Multiply the 3 and 8 to get 24.
  • And, add the carried 4 to get 28.
  • Since 28 is greater than 9, you'll have to carry the 2.

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The distance from the ground of a person riding on a Ferris wheel can be modeled by the equation d equals 20 times the sine of t
kodGreya [7K]

We have the function d, representing the distance from the ground of a person riding on a Ferris wheel:

d(t)=20\sin (\frac{\pi}{30}t)+10

If we consider the position of the person at t = 0, which is:

d(0)=20\sin (\frac{\pi}{30}\cdot0)+10=20\cdot0+10=10

This position, for t = 0, will be the same position as when the argument of the sine function is equal to 2π, which is equivalent to one cycle of the wheel. Then, we can find the value of t:

\begin{gathered} \sin (\frac{\pi}{30}t)=\sin (2\pi) \\ \frac{\pi}{30}\cdot t=2\pi \\ t=2\pi\cdot\frac{30}{\pi} \\ t=60 \end{gathered}

Then, the wheel will repeat its position after t = 60 seconds.

Answer: 60 seconds.

7 0
2 years ago
This table shows a value that represents an exponential function what is the average rate of change for this function for the in
aliya0001 [1]

Answer:

Option A is correct, i.e. 12.

Step-by-step explanation:

Given is the table of x&y relationship which represents an exponential function.

The average rate of change for a function can be found using the following formula:-

F_average = { f(b) - f(a) } / (b-a)

Given a = 3 and b = 5.

From the table, f(3) = 8 and f(5) = 32.

So, F_average = (32-8)/(5-3)

F_average = 24/2 = 12.

Hence, option A is correct, i.e. 12.

4 0
3 years ago
What is the intercept form of the quadratic function below?<br><br> f(x) = x2 + 5x + 4
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Algebraically, find the zeroes (x-intercepts) of each quadratic .A quadratic function is shown in the table below Which of the ... Consider the quadratic function whose equation is f(x) = x2 + 2x -8. ... y = 4x – 5 and y = 2x2 – 5x-10 ..X-4=0. Xx2zo. Factored. +2. ) (x-ulzo. ) who form. X-4x+3x-&co x²-2x 8-0

4 0
3 years ago
Which ordered pair is the best estimate for the solution of the system of equations?
gtnhenbr [62]
The ordered pair is 5/2
7 0
3 years ago
Read 2 more answers
PLZ HELP WITH THIS QUESTION PLZ CORRECT ANSWERS!!! LOVE YOU THNX
iogann1982 [59]

Answer:

1) The value of x= 0.0642

2) sin\theta=\frac{P}{H}=\frac{24}{25}

cos\theta=\frac{B}{H}=\frac{7}{25}

tan\theta=\frac{P}{B}=\frac{24}{7}

cosec\theta=\frac{H}{P}=\frac{25}{24}

cot\theta=\frac{B}{P}=\frac{7}{25}

Step-by-step explanation:

1) Given : A right angle triangle with sides x and 10 and angle is 50°

To find : Value of x

Solution : Since, it is a right angle triangle

Therefore, we apply cos\theta=\frac{B}{H}

Where Base = x, Hypotenuse= 10, angle = 50°

cos(50)=\frac{x}{10}

0.642=\frac{x}{10}

0.0642=x

The value of x= 0.0642

2) Given : sec\theta=\frac{25}{7}

To find : Value of sin\theta,cos\theta,tan\theta,cosec\theta,cot\theta

Solution : We have given sec\theta=\frac{25}{7}

sec\theta=\frac{H}{B}

so, B= 7 , H=25

By Pythagoras theorem,

H^2=P^2+B^2

25^2=P^2+7^2

625-49=P^2

\sqrt{576}=P^2

P=24

Now, P=24, B=7, H=25

sin\theta=\frac{P}{H}=\frac{24}{25}

cos\theta=\frac{B}{H}=\frac{7}{25}

tan\theta=\frac{P}{B}=\frac{24}{7}

cosec\theta=\frac{H}{P}=\frac{25}{24}

cot\theta=\frac{B}{P}=\frac{7}{25}



5 0
3 years ago
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