15 points -Christina went to a soap box derby race with 12 coins in her pocket that totaled to $1.20 what could those coins be ?
1 answer:
You might be interested in
Answer:
it will take her minutes more to walk down to Raj's House
Step-by-step explanation:
It took Sheldon minutes to walk to Raj's house
It also took Sheldon minutes to use the bus.
To get the time difference between the two transport mechanisms, we subtract their different time durations.
This will be
We can convert this to Mixed fractions as shown minutes.
Therefore, it will take her minutes more to walk down to Raj's House
Answer:
11.51
Step-by-step explanation:
In general, a calculator is required to evaluate the irrational sum ...
π + √70
<h3>Calculator result</h3>The result from a readily-available online calculator is shown in the attachment.
π + √70 ≈ 11.51
__
<em>Additional comment</em>
You have probably memorized pi to several digits: 3.1416. To obtain the required estimate means you need to approximate √70 to about the same level of precision.
For a number n = a² +b, the square root can be approximated by the continued fraction ...
√n ≈ a +b/(2a +b/(2a +...))
Effectively, the root (r) can be iterated from the recursive formula ...
r' = a +b/(a +r)
For √70, we have 70 = 8² +6 ⇒ a=8, b=6
If the initial approximation of the root is r0≈a=8, then a couple of iterations gives ...
r1 = 8 + 6/(8 +r0) = 8 + 6/(8 +8) = 8 3/8
r2 = 8 + 6/(8 +r1) = 8 +6/(8 +8 3/8) = 8 48/131
This has sufficient accuracy for the purpose. The decimal equivalent of the sum then becomes ...
3.1416 +8.3664 = 11.5080 ≈ 11.51
