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ch4aika [34]
2 years ago
5

If a bus traveled 200 miles in 4 hours, what was the average speed of the bus in miles per hour?

Mathematics
2 answers:
netineya [11]2 years ago
7 0

Answer:

ure def not in high school but elemantarty. Its 50 mph bc 20 divided by 4= 5

Step-by-step explanation:

Pavel [41]2 years ago
5 0

Answer:

that means it traveled 50 miles in a one hour or 50 mph

Hope This Helps!!!

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First, AB = CD = CG + GF + FD, so FG = 2.

By the Pythagorean theorem, in triangle AFD we get

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and in triangle BCG,

2^2+3^2=BG^2\implies BG=\sqrt{13}

Angles AFD and EFG form a vertical pair, so they are congruent and have measure

m\angle EFG=\tan^{-1}3

Similarly, angles BGC and FGE are congruent and have measure

m\angle FGE=\tan^{-1}\dfrac32

Then the remaining angle in triangle EFG has measure

m\angle FEG=\pi-\tan^{-1}3-\tan^{-1}\dfrac32

We can solve for the lengths of FE and GE exactly by applying the law of sines:

\dfrac{\sin\left(\pi-\tan^{-1}3-\tan^{-1}\frac 32\right)}2=\dfrac{\sin\left(\tan^{-1}3\right)}{GE}=\dfrac{\sin\left(\tan^{-1}\frac32\right)}{FE}

\implies GE=\dfrac{2\sqrt{13}}3,FE=\dfrac{2\sqrt{10}}3

Let s be the semiperimeter of triangle ABE, so that

s=\dfrac{AB+BE+EA}2

Then according to Heron's formula, the area of triangle ABE is

\sqrt{s(s-AB)(s-BE)(s-EA)}=\dfrac{25}2

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