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zheka24 [161]
3 years ago
5

Mario`s company makes unusually shaped imitation gemstones. One gemstone had 12 faces and 10 vertices. How many edges did the ge

mstone have? . A) 23 B) 22 C) 25 D) 20
Mathematics
2 answers:
Anastaziya [24]3 years ago
8 0
Out of the choices given, the gemstones had approximately 20 edges. This correct answer is D, 20. The answer can be figured out by using " Euler's Polyhedral Formula." The correct formula for this particular question is shown here; <span>F = 12, V = 10 V - E + F = 2 10 - E + 12 = 2 -E + 22 = 2 -E = -20 E = 20. I hope that helps you. </span>
Dennis_Churaev [7]3 years ago
7 0

Answer:

20 edges

Step-by-step explanation:

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Cherie is jogging around a circular track. She
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Answer:

Measure of minor angle JOG is 95.5^{\circ}

Step-by-step explanation:

Consider a circular track of radius 120 yards. Assume that Cherie starts from point J and runs 200 yards up to point G.  

\therefore m JG = 200 yards, JO=120 yards.  

Now the measure of minor arc is same as measure of central angle. Therefore minor angle is the central angle \angle JOG = \theta.

To calculate the central angle, use the arc length formula as follows.  

Arc\:Length\left(s\right) = r\:\theta  

Where \theta is measured in radian.

Substituting the value,

200=120\:\theta  

Dividing both side by 120,

\dfrac{200}{120}=\theta  

Reducing the fraction into lowest form by dividing numerator and denominator by 40.

\therefore \dfrac{5}{3}=\theta  

Therefore value of central angle is \angle JOG = \theta=\left(\dfrac{5}{3}\right)^{c}, since angle is in radian

Now convert radian into degree by using following formula,

1^{c}=\left(\dfrac{180}{\pi}\right)^{\circ}

So multiplying \theta with \left(\dfrac{180}{\pi}\right)^{\circ} to convert it into degree.

\left(\dfrac{5}{3}\right)^{c}=\left(\dfrac{5}{3}\right) \times \left(\dfrac{180}{\pi}\right)^{\circ}

Simplifying,

\therefore \theta = 95.49^{circ}

So to nearest tenth, \angle JOG=95.5^{circ}

8 0
3 years ago
The cost of a school banquet is 75$ plus 15$ per person.
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Answer:

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Step-by-step explanation:

4 0
2 years ago
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Answer:

The equation of the line is;

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Step-by-step explanation:

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y = mx + c

y = 3x + c

To get c, we use any of the points

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