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Darya [45]
3 years ago
10

Convert 108° to radians, give your answer in terms of pi​

Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
6 0

Answer:

339.292006π = 339.29π to 2 dp

Step-by-step explanation:

108 / 57.2957796  = 1.88495559   1.88495559×180°/π = 107.99999988°  and 1.88495559×180° = 339.292006 π

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In an auditorium, a charity show is conducted in order to raise at least $3,750. The auditorium can accommodate up to 180 specta
Maksim231197 [3]

Answer:

See explanation

Step-by-step explanation:

Let x,\ x\ge 0 be the number of students and y,\ y\ge 0 be the number of adults on the show.

1. Tickets cost $15 for students, so x student tickets cost $15x.

Tickets cost $25 for adults, so y adult tickets cost $25y.

Total cost of all tickets is $(15x + 25y).

The charity show is conducted in order to raise at least $3,750, thus

15x+25y\ge 3,750

2. The auditorium can accommodate up to 180 spectators, hence

x+y\le 180

3. We get the system of inequalities:

\left\{\begin{array}{l}x\ge 0\\y\ge 0\\x+y\le 180\\15x+25y\ge 3,750\end{array}\right.

Plot all solutions sets to each inequality and the common region is the solution set to the system of inequalities. This region is not empty, so the charity will reach its goal. For example, if they sell 50 students tickets and 125 adult tickets, they will raise \$(15\cdot 50+25\cdot 125)=\$3,875

8 0
3 years ago
Does anyone know what this is?
KIM [24]

Answer:

45°

Step-by-step explanation:

90÷2 = 45

8 0
3 years ago
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The diameter of a circle is 16 centimeters. How would you calculate the area?
Y_Kistochka [10]

Answer: 201.06

Step-by-step explanation:

To find the area of a circle with the radius, square the radius, or multiply it by itself. Then, multiply the squared radius by pi, or 3.14, to get the area. To find the area with the diameter, simply divide the diameter by 2, plug it into the radius formula, and solve as before.

Hope this helps!

6 0
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It took Hannah 38 minutes to run 8 laps. write this statement as a rate.
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Simply divide the minutes by laps.

38 / 8 = 4.75

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umka21 [38]

<em>The</em><em> </em><em>answer</em><em> </em><em>is</em><em> </em><em>8</em><em>/</em><em>7</em>

<em>pl</em><em>ease</em><em> see</em><em> the</em><em> attached</em><em> picture</em><em> for</em><em> full</em><em> solution</em>

<em>Hope </em><em>it</em><em> helps</em>

<em>Good</em><em> </em><em>luck</em><em> on</em><em> your</em><em> assignment</em>

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