Based on the information given, the computation shows that the distance between them is 2.47 miles.
<h3>
Solving the distance.</h3>
Since one has bearing 41°45', this will be: = 41° + (45/60) = 41° + 0.75 = 41.75°.
The other has bearing 59°13'. This will be:
= 59° + (13/60) = 59° + 0.22 = 59.22°.
The difference of the angles will be:
= 59.22° - 41.75°
= 17.47°
Let the distance between them be represented by c. Therefore, we'll use cosine law to solve the question. This will be:
c² = a² + b² - 2ab cos 17.47°
c² = 20² + 20² - (2 × 20 × 20 × 0.19)
c² = 6.07459
c = 2.47
Learn more about distance on:
brainly.com/question/2854969
The distance from the center to where the foci are located exists 8 units.
<h3>How to determine the distance from the center?</h3>
The formula associated with the focus of an ellipse exists given as;
c² = a² − b²
Where c exists the distance from the focus to the center.
a exists the distance from the center to a vertex,
the major axis exists 10 units.
b exists the distance from the center to a co-vertex, the minor axis exists 6 units
c² = a² − b²
c² = 10² - 6²
c² = 100 - 36
c² = 64

c = 8
Therefore, the distance from the center to where the foci are located exists 8 units.
To learn more about the Pythagorean theorem here:
brainly.com/question/654982
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Answer:

Step-by-step explanation:
<u>Ratios
</u>
We are given the following relations:
![a=\sqrt{7}+\sqrt{c}\qquad \qquad[1]](https://tex.z-dn.net/?f=a%3D%5Csqrt%7B7%7D%2B%5Csqrt%7Bc%7D%5Cqquad%20%5Cqquad%5B1%5D)
![b=\sqrt{63}+\sqrt{d}\qquad \qquad[2]](https://tex.z-dn.net/?f=b%3D%5Csqrt%7B63%7D%2B%5Csqrt%7Bd%7D%5Cqquad%20%5Cqquad%5B2%5D)
![\displaystyle \frac{c}{d}=\frac{1}{9} \qquad \qquad [3]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bc%7D%7Bd%7D%3D%5Cfrac%7B1%7D%7B9%7D%20%5Cqquad%20%5Cqquad%20%5B3%5D)
From [3]:

Replacing into [2]:

We can express 63=9*7:

Taking the square root of 9:

Factoring:

Find the ration a:b:

Simplifying:

Answer:
Exact Form: x
=(
1
±
√
11)
/2
It's the first one.
Step-by-step explanation:
Solve the equation for x by finding a
, b
, and c of the quadratic then applying the quadratic formula.