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Romashka [77]
3 years ago
8

A ship travels 200 miles due west, then adjusts its course 30° north of west. The ship continues on this course for 30 miles. Ap

proximately how far is the ship from where it began?
Mathematics
1 answer:
earnstyle [38]3 years ago
5 0

Answer:

The answers D on Edg

Step-by-step explanation:

Just finished the test

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Consider a circle centered at C(-2,-4). If the point P(1,-1) lies on the circle, then which of the following points also lies on
Aliun [14]

Answer:

Consider a circle centered at C(-2,-4). If the point P(1,-1) lies on the circle, then which of the following points also lies on the circle?

<h3>A. (-2, -√18)</h3>

B. (-2+√18, -4)

C. (√18, -4)

D. (-2, 4+√18)

Step-by-step explanation:

  • If the distance is greater than the radius, the point lies outside. If it's equal to the radius, the point lies on the circle. And if it's less than the radius, you guessed it right, the point will lie inside the circle.

hope it's help you

7 0
2 years ago
What are all values of x for which the series shown converges? ​
adoni [48]

Answer:

One convergence criteria that is useful here is that, if aₙ is the n-th term of this sequence, then we must have:

Iaₙ₊₁I < IaₙI

This means that the absolute value of the terms must decrease as n increases.

Then we must have:

\frac{(x -2)^n}{n*3^n} > \frac{(x -2 )^{n+1}}{(n + 1)*3^{n+1}}

We can write this as:

\frac{(x -2)^n}{n*3^n} > \frac{(x -2 )^{n+1}}{(n + 1)*3^{n+1}} = \frac{(x -2)^n}{(n + 1)*3^n} * \frac{(x - 2)}{3}

If we assume that n is a really big number, then:

n + 1 ≈ 1

And we can write:

\frac{(x -2)^n}{n*3^n} > \frac{(x -2)^n}{(n)*3^n} * \frac{(x - 2)}{3}

Then we have the inequality

1 > (x - 2)/3

And remember that this must be in absolute value, then we will have that:

-1 < (x - 2)/3 < 1

-3 < x - 2 < 3

-3 + 2 < x < 3 + 2

-1 < x < 5

The first option looks like this, but it uses the symbols ≤≥, so it is not the same as this, then the correct option will be the second.

5 0
2 years ago
How do you write a linear equation given the slope and a point that
Serga [27]

Answer:

point slope form

Step-by-step explanation:

hi! we can use point slope form:

y-y1=m(x-x1)

where m is the slope, x1 is the x-coordinate of the given point, and y1 is the y-coordinate of the given point.

example:

slope is 4

ordered pair is (2,3)

y-3=4(x-2)

y-3=4x-8

y=4x-5

hope this helps!

6 0
3 years ago
Please helppp!!!!!!!
rjkz [21]

Answer:

66

Step-by-step explanation:

5 0
2 years ago
Equivalent ration of <br> b/40=9/10<br> b=____ ?
NARA [144]

Answer:

The correct answer is <em>b = 36</em>

Step-by-step explanation:

In order to find out what b is, you must find out what 9/10 is.

9/10 is 0.9. This will later be used to check our answer.

Now, solve by using cross-multiplication

b * 10 = 9 * 40.

Then use the commutative property to reorder the terms

10b = 9 * 40

Now Multiply 9 * 40 = 360

10b = 360

Now divide both sides of the equation by 10

<em>b = 36</em>

7 0
2 years ago
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