Calculate 7.30•1.63 and round to the correct number of significant digits

1 answer:

4 0

7.30×1.63=11.899
You only need 2 significant numbers because 7.30 only has 2, the 0 past the decimal without a number doesn't count.
The answer is 12

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A train averages a speed of 90 miles per hour across the plains and 37.5 miles per hour through the mountains. If a trip of 300

densk [106]

Let p and m represent the numbers of miles in the plains and mountains, respectively.
.. p + m = 300 . . . . . . . the whole trip was 300 miles

time = distance/speed, so the trip time can be written as
.. p/90 + m/37.5 = 3 48/60
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You can solve these two equations by any of several means. The variable p can be eliminated by subtracting 5 times the first from the second.
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Half Angle Formula

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Answer:

$\cos \frac{\theta}{2}=-\sqrt[\square]{\frac{6-\sqrt[\square]{11}}{12}}$

Checking:

$\begin{gathered} \frac{\theta}{2}=\cos ^{-1}(-\sqrt[\square]{\frac{6-\sqrt[\square]{11}}{12}}) \\ \frac{\theta}{2}=118.22^{\circ} \\ \theta=236.44^{\circ}\text{ (3rd quadrant)} \end{gathered}$

Also,

$\csc \theta=\frac{1}{\sin\theta}=\frac{1}{\sin (236.44)}=-\frac{6}{5}\text{ QED}$

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