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konstantin123 [22]
3 years ago
11

Not a hard question i just don't get it. I really need some help here, its the final

Mathematics
1 answer:
Greeley [361]3 years ago
5 0

Start with

\dfrac{1}{\sin^2(x)}=4

Invert both sides:

\sin^2(x) = \dfrac{1}{4}

Consider the square root of both sides with double sign:

\sin(x) = \pm\sqrt{\dfrac{1}{4}} = \pm\dfrac{1}{2}

We have

\sin(x) = \dfrac{1}{2} \iff x = \dfrac{\pi}{6}\ \lor\ x = \dfrac{5\pi}{6}

and

\sin(x) = -\dfrac{1}{2} \iff x = \dfrac{7\pi}{6}\ \lor\ x = \dfrac{11\pi}{6}

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A robot moving forward at a constant speed takes 2.5 hours to travel 1 kilometer. Moving forward at this same constant speed, it
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Answer:

The length of the hallway is 10 m.

Step-by-step explanation:

Given:

Time taken to cover 1 km = 2.5 hours

Distance covered in 2.5 hours = 1 km

Therefore, speed of robot = \frac{\textrm{Distance}}{\textrm{TIme}}=\frac{1}{2.5}=0.4\ km/h

Now, speed is constant.

Now, time taken to cover the length of hallway = 90 s

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Converting 0.4 km/h to m/s, we multiply by the factor \frac{5}{18}. This gives,

0.4\times \frac{5}{18}=\frac{1}{9}\ m/s

Now, distance of the hallway is equal to the product of speed and time. So,

Distance of hallway = Speed \times Time

Distance of hallway = \frac{1}{9}\times 90=\frac{90}{9}=10\ m

Therefore, the length of the hallway is 10 m.

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Step-by-step explanation:

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