Answer:
Step-by-step explanation:
1. 10² + 7² = x²
149 = x²
x = √149
2. x² + 19² = 21²
x² = 21² - 19² = 80
x = √80 = 4√5
3. x² + 16² = 27²
x² = 27² - 16² = 473
x = √473
4. 5.3² + 12.8² = x²
191.93 = x²
x = √191.93
5. 9² + 20² = x²
481 = x²
x = √481
6. 31 = x + 2√(19²-17²) = x + 2·6√2 = x + 12√2
x = 31 - 12√2

First, I would multiply the last two fractions because they're smaller and easier to work with:

Now that we've simplified it, we could multiply these terms and simplify. An easier method, however, would be to cancel out any common factors among the numerators and denominators before multiplying:

We can now multiply these terms:

The <span>product of 8/15, 6/5, and 1/3 is B, 16/75.</span>
<span>Its speed is 18.05 m/s</span>
Let
be the number of days spent at Tahoe and San Francisco, respectively.
We don't know the values of
and
yet, but we know that the holiday lasted 9 days:

We also know that each day spent in Tahoe costed 350 and each day spent in San Francisco costed 475. So, the total cost of the holiday is the sum of the number of days muliplied by their cost:

If we put the two equations together, we have the system

Which yields
