Answer:
Step-by-step explanation:
The picture of the question in the attached figure
step 1
Find the value of x
Let
O ----> the center of the circle
we know that
Triangle BOC≅Triangle COD
----> by central angle
----> by central angle
therefore
substitute the given values
solve for x
step 2
Find the measure of angle BAD
we know that
The inscribed angle is half that of the arc it comprises.
so
![m\angle BAD=\frac{1}{2} [arc\ BC+arc\ CD]](https://tex.z-dn.net/?f=m%5Cangle%20BAD%3D%5Cfrac%7B1%7D%7B2%7D%20%5Barc%5C%20BC%2Barc%5C%20CD%5D)
substitute
![m\angle BAD=\frac{1}{2} [73^o+73^o]=73^o](https://tex.z-dn.net/?f=m%5Cangle%20BAD%3D%5Cfrac%7B1%7D%7B2%7D%20%5B73%5Eo%2B73%5Eo%5D%3D73%5Eo)
Tan 2° = x / 1 mile, where x is the vertical change
0.03492 = x / 1 mile
x = 1 mile · 0.03429 = 0.03492 miles
1 mile = 5,280 feet
0.03492 · 5,280 = 184.38 ft
Answer: The vertical change is 184.38 feet
Answer:
Step-by-step explanation:
Linear function:
A linear function has the following format:
In which m is the slope and b is the q-intercept.
One week you charged $4 per guest and averaged 80 guests per night. The next week you charged $10 per guest and averaged 44 guests per night.
This means that we have these following points: (4,80), (10,44).
Finding the slope:
With a pair of points, the slope is given by the change in q divided by the change in p.
Change in q: 44 - 80 = -36
Change in p: 10 - 4 = 6
Slope: 
So
Finding b:
We replace one of the points. Replacing (4,80).
So
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SR = 450
<span>S = 450/R </span>
<span>(S - 3)(R + 5) = 450 </span>
<span>(450/R - 3)(R + 5) = 450 </span>
<span>(450 - 3R)(R + 5) = 450R </span>
<span>450R + 2250 - 3R^2 - 15R = 450R </span>
<span>3R^2 + 15R - 2250 = 0 </span>
<span>R^2 + 5R - 750 = 0 </span>
<span>R^2 + 30R - 25R - 750 = 0 </span>
<span>R(R + 30) - 25(R + 30) = 0 </span>
<span>(R + 30)(R - 25) = 0 </span>
<span>R ∈ {-30,25}
</span>
<span>Only positive numbers make sense in this context, therefore R = 25.</span>
1+7 and 7+1 are the same equations. The numbers are just switched around .
Example:
1+2=3
2+1+3
<span>They add up to the same answer no matter where they are placed, therefore knowing 1+7 helps you find the sum of 7+1 (again, because they are the same) </span>
