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Mrrafil [7]
3 years ago
13

="absmiddle" class="latex-formula">
Mathematics
1 answer:
inn [45]3 years ago
5 0

Step-by-step explanation:

({ \sqrt{x} }^{2})  = 16 \\  \sqrt{x } =  \sqrt{16}   \\  \\ sqrt \: root  \: will \: be \: cancelled \\ so \:  \\ x \: \:  = 16

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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
1 year ago
Help with a few questions pleaseeeeee
mel-nik [20]
29.99 * 3 =89.97 89.97 with 30% off = 62.98 and 5% of 62.98 =3.15 so 62.98 + 3.15 = 66.13$ 


180.00 + 14.95 + 8.95 = 203.09 - 15% = 173.44 + 4% = 180.38


5.65 + 5% of 5.65 = 5.93 

i think this is all right you might want to check my work!
3 0
3 years ago
What is 239901 rounded to the nearest ten thousand
AfilCa [17]
The answer is 240,000
3 0
3 years ago
Dan and barney are members of different video game libraries. Dan pays a membership fee of $35, and he pays $4 for every video g
ella [17]
Dan pays $5 more than Barney because his membership fee is $35, while Barney's is only $30.

The answer is $5.
5 0
3 years ago
Read 2 more answers
Rachel is collecting donations for the local animal shelter. So far she has collected $245, which is 70% of what she hopes to co
Nata [24]

Answer:

The money Rachael plan to collect for the shelter is <u>$350</u>.

Step-by-step explanation:

Given:

Rachel is collecting donations for the local animal shelter.

So far she has collected $245, which is 70% of what she hopes to collect.

Now, to find the money Rachael plan to collect for the shelter.

Let the total amount Rachael plan to collect be x.

Amount she collected = $245.

Percentage of amount she collected = 70%.

Now, to get the amount Rachael plan to collect we put an equation:

70\%\ of\ x=\$245.

⇒ \frac{70}{100} \times x=245

⇒ 0.70\times x=245

⇒ 0.70x=245

<em>Dividing both sides by 0.70 we get:</em>

⇒ x=\$350.

Therefore, the money Rachael plan to collect for the shelter is $350.

4 0
4 years ago
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