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Vika [28.1K]
3 years ago
12

Pete has 4 packs of gum balls. Each pack has 5 gum balls. If Pete gives the same number of gum balls to 6 friends, how many gum

balls will each friend get?
Please help ASAP!!​
Mathematics
1 answer:
Elanso [62]3 years ago
5 0

Answer:

Each freind would get 3 1/3 of gumballs

Step-by-step explanation:

Pete has 4 packs of gum balls. Each pack has 5 gum balls. If Pete gives the same number of gum balls to 6 friends, how many gum balls will each friend get?

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If cos θ= 12 /13 and θ is located in the Quadrant I, find sin (2 θ ), cos(2 θ ), tan(2 θ )
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Answer:

\cos 2 \theta = \dfrac{119}{169}\\\\\sin2 \theta  = \dfrac{120}{169}\\\\\tan 2\theta = \dfrac{120}{119}

Step-by-step explanation:

\text{Given that,} \cos \theta = \dfrac{12}{13}\\ \\\text{Now,}\\\\\cos 2 \theta = 2 \cos^2 \theta - 1\\\\\\~~~~~~~~~=2 \left( \dfrac{12}{13} \right)^2 - 1\\\\\\~~~~~~~~~=2 \left( \dfrac{144}{169} \right) - 1\\\\\\~~~~~~~~~=\dfrac{288}{169}-1\\\\\\~~~~~~~~~=\dfrac{119}{169}

\sin 2\theta = 2 \sin \theta \cos \theta\\\\\\~~~~~~~~=2\sqrt{1 -\cos^2 \theta} \cdot \cos \theta~~~~~~~~~~~;[\text{In quadrant I, all ratios are positive.}]\\\\\\~~~~~~~~=2 \sqrt{1- \left( \dfrac{12}{13} \right)^2} \cdot \left(\dfrac{12}{13} \right)\\\\\\~~~~~~~~=\left( \dfrac{24}{13} \right) \sqrt{1- \dfrac{144}{169}}\\\\\\~~~~~~~~=\dfrac{24}{13}\sqrt{\dfrac{25}{169}}\\\\\\~~~~~~~=\dfrac{24}{13} \times \dfrac{5}{13}\\\\\\~~~~~~=\dfrac{120}{169}

\tan 2 \theta = \dfrac{\sin 2\theta}{\cos 2\theta}\\\\\\~~~~~~~~~=\dfrac{\tfrac{120}{169}}{ \tfrac{119}{169}}\\\\\\~~~~~~~~~=\dfrac{120}{169} \times \dfrac{169}{119}\\\\\\~~~~~~~~~=\dfrac{120}{119}

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2 years ago
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I think i would be the third one
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m, m+1,\ m+2,\ m+3,\ m+4,\ m+5,\ m+6-\text{seven consecutive numbers}\\\\\text{The sum}\\\\m+(m+1)+(m+2)+(m+3)+(m+4)+(m+5)+(m+6)=7m+21

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