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Monica [59]
3 years ago
7

A middle school took all of its 6th grade students in a field trip to see a ballet at a theater that has 4200 seats. The student

s filled 84 percent of the seats in the theater. How many 6th graders went on the trip?
Mathematics
1 answer:
Simora [160]3 years ago
7 0

630 students when on the trip
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ivanzaharov [21]

Answer:

9.6 seconds

Step-by-step explanation:

The equation for projectile motion in feet is h(t)=-16t^2+v_0t+h_0 where v_0 is the initial velocity in ft/s and h_0 is the initial height in feet.

We are given that the initial upward velocity is v_0=150ft/sec and the initial height is h_0=35ft. Thus, plugging these values into our equation, we get h(t)=-16t^2+150t+35 as our equation for the situation.

The firework will land, assuming it doesn't explode, when h(t)=0, thus:

h(t)=-16t^2+150t+35\\\\0=-16t^2+150t+35\\\\t=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\ \\t=\frac{-150\pm\sqrt{150^2-4(-16)(35)}}{2(-16)}\\ \\t=\frac{-150\pm\sqrt{22500+2240}}{-32}\\\\t=\frac{-150\pm\sqrt{24740}}{-32}\\\\t=\frac{-150\pm2\sqrt{6185}}{-32}\\ \\t=\frac{75\pm\sqrt{6185}}{16}\\\\t_1\approx-0.2\\\\t_2\approx9.6

Since time can't be negative, then the firework will land after 9.6 seconds, assuming it doesn't explode at the time of landing.

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What is your question? Could you further explain what you are asking?

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astraxan [27]

Answer:

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