madison and centerville are 6 cm apart on a map that has a scale of 1 cm : 11km. how far apart are the real cities

Mathematics

2 answers:

Anastasy [175]3 years ago

6 0

Answer:

66 km

Step-by-step explanation:

6 * 11 = 66

vredina [299]3 years ago

4 0

The two cities are 66 km apart

You might be interested in

For circle H, JN = x, NK = 2, LN = 3, and NM = 6. Solve for x. circle H with chords JK and LM intersecting at N inside the circl

vredina [299]

Answer:

x=9

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

$JN*NK=LN*NM$ ----> by intersecting chords theorem

substitute the given values

$(x)(2)=(3)(6)$

solve for x

$x=18/2\\x=9$

4 0

3 years ago

Read 2 more answers

What will be the value of

madreJ [45]

The expression as given doesn't make much sense. I think you're trying to describe an infinitely nested radical. We can express this recursively by

$\begin{cases}a_1=\sqrt{42}\\a_n=\sqrt{42+a_{n-1}}\end{cases}$

Then you want to know the value of

$\displaystyle\lim_{n\to\infty}a_n$

if it exists.

To show the limit exists and that $a_n$ converges to some limit, we can try showing that the sequence is bounded and monotonic.

Boundedness: It's true that $a_1=\sqrt{42}\le\sqrt{49}=7$ . Suppose $a_k\le 7$ . Then $a_{k+1}=\sqrt{42+a_k}\le\sqrt{42+7}=7$ . So by induction, $a_n$ is bounded above by 7 for all $n$ .

Monontonicity: We have $a_1=\sqrt{42}$ and $a_2=\sqrt{42+\sqrt{42}}$ . It should be quite clear that $a_2>a_1$ . Suppose $a_k>a_{k-1}$ . Then $a_{k+1}=\sqrt{42+a_k}>\sqrt{42+a_{k-1}}=a_k$ . So by induction, $a_n$ is monotonically increasing.