Answer:
the 8th exterior angle is 49 degrees
Step-by-step explanation:
The sum of the exterior angles of an octagon is 360 degrees
(this is true for all polygons)
42°+55°+ 39°+ 20°+ 62°+45°,+ 47+x = 360
combine like terms
311+x=360
subtract 311 from each side
311-311 +x = 360-311
x=49
Answer:
100 people
Step-by-step explanation:
<em>Population</em><em> </em><em>Of</em><em> </em><em>People</em><em>=</em><em>1</em><em>1</em><em>5</em><em>Percentage</em><em>ncrease</em><em>=</em><em>1</em><em>5</em><em>%</em>
<em>The</em><em> </em><em>New</em><em> </em><em>Population </em><em>corresponds </em><em>to</em><em> </em><em>1</em><em>1</em><em>5</em><em>%</em>
<em>(</em><em>That</em><em> </em><em>is</em><em> </em><em>1</em><em>0</em><em>0</em><em>+</em><em>1</em><em>5</em><em>)</em>
<em>We</em><em> </em><em>want</em><em> </em><em>to </em><em>find</em><em> </em><em>the</em><em> </em><em>popula</em><em>tion</em><em> </em><em>that</em><em> </em><em>corresponds</em><em> </em><em>to </em><em>100%</em><em> </em><em>that </em><em>is </em><em>the</em><em> </em><em>original</em><em> </em><em>population</em><em>.</em>
<em>Therefore</em><em> </em><em>Original </em><em>Population</em><em>;</em>
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Answer:

Step-by-step explanation:
a) Mapping the graphs
Mapping one graph (A) onto another (B) means that each vertical line through a point in A intersects the graph of the B at only one point.
In the diagram, the graph of ƒ(x) = √(x² + 9) is the blue line and the graph of g(x) = 5 + √(x² + 9) is in green.
Each vertical line through ƒ(x) intersects g(x) in only one point.
For example, a vertical line from (4, 0) intersects ƒ(x) at (4, 5) and g(x)
at (4, 10).
Every point in g(x) is five units higher than the corresponding point in ƒ(x).
Thus, mapping ƒ(x) onto g(x) is a translation of five units upward.
b) Integration

![\int_{2}^{11}{(5 + \sqrt{x^{2}+9})}dx \approx [5x]_2^{11}+65\\](https://tex.z-dn.net/?f=%5Cint_%7B2%7D%5E%7B11%7D%7B%285%20%2B%20%5Csqrt%7Bx%5E%7B2%7D%2B9%7D%29%7Ddx%20%5Capprox%20%5B5x%5D_2%5E%7B11%7D%2B65%5C%5C)


Answer:
1/2
Step-by-step explanation:
Okay so the find slope you have the put the line in y-mx+b form. In -2x+4y=16 to get 'y' by its slef you have to add 2y to each side. 4y=16+2x then you have to divide by 4 to get y alone. y=4+1/2x
Your slope is 1/2
Answer:
The upper bound for the perimeter of the rectangle = 427.76 cm
Step-by-step explanation:
To obtain the upper bound for the perimeter, we need to first obtain the upper bound for the Length and Breadth of the rectangle.
Since, these dimensions were rounded to the nearest 1 decimal place, we can write down their ranges
Length = 127.3 cm
Width = 86.5 cm
Length can range from 127.25 cm to 127.34 cm
Breadth can range from 86.45 cm to 86.54 cm
The upper bound for the Length and Breadth of the rectangle are this 127.34 cm and 86.54 cm respectively.
Perimeter = 2 (L + B)
Upper bound of the perimeter
= 2 × (127.34 + 86.54)
= 2 × 213.88
= 427.76 cm
Hope this Helps!!!