Answer:
True
Step-by-step explanation:
The given parameters are;
Two triangles each with known measures of two sides of the triangle and a non included angle
Therefore, with the given information, each of the the triangles are undefined because the sides can be opened wider or narrowed to have two possible solutions, in the same manner a compass, having one leg at a fixed inclination to the drawing paper can have the second leg either come closer or go further than 90 degrees while the inclination of the one (first) leg remains the same.
Given:
Population in circular region = 1.15 million
Population Density = 18075 people per square kilometer
Formula Used:
We need to make use of the below formula to find the area of circular region.
![Area \; of \; Circular \; region \; = \; \frac{Population}{Density}](https://tex.z-dn.net/?f=%20Area%20%5C%3B%20of%20%5C%3B%20Circular%20%5C%3B%20region%20%5C%3B%20%3D%20%5C%3B%20%5Cfrac%7BPopulation%7D%7BDensity%7D%20%20%20)
Applying the concept:
Substituting the given information in the formula above we get...
![Area \; of \; circular \; region \; = \; \frac{1.15 \times 10^6}{18075} \\\\Area= \frac{1150000}{18075} \approx 63.6 \; km^2](https://tex.z-dn.net/?f=%20Area%20%5C%3B%20of%20%5C%3B%20circular%20%5C%3B%20region%20%5C%3B%20%3D%20%5C%3B%20%5Cfrac%7B1.15%20%5Ctimes%2010%5E6%7D%7B18075%7D%20%20%5C%5C%5C%5CArea%3D%20%5Cfrac%7B1150000%7D%7B18075%7D%20%20%5Capprox%2063.6%20%5C%3B%20km%5E2%20)
![To \; find \; radius \; of \; circle \; with \; area \; 63.6 \; square \; kilometer:\\\\Area \; of \; circle \; = \;\pi r^2\\\\\pi r^2=63.6\\\\r^2= \frac{63.6}{\pi} \\\\r^2=20.25\\\\r= \sqrt{20.25} \\\\ r \approx \; 4.5 \; km](https://tex.z-dn.net/?f=%20To%20%5C%3B%20find%20%5C%3B%20radius%20%5C%3B%20of%20%5C%3B%20circle%20%5C%3B%20with%20%5C%3B%20area%20%5C%3B%2063.6%20%5C%3B%20square%20%5C%3B%20kilometer%3A%5C%5C%5C%5CArea%20%5C%3B%20of%20%5C%3B%20circle%20%5C%3B%20%3D%20%5C%3B%5Cpi%20r%5E2%5C%5C%5C%5C%5Cpi%20r%5E2%3D63.6%5C%5C%5C%5Cr%5E2%3D%20%5Cfrac%7B63.6%7D%7B%5Cpi%7D%20%20%20%5C%5C%5C%5Cr%5E2%3D20.25%5C%5C%5C%5Cr%3D%20%5Csqrt%7B20.25%7D%20%20%5C%5C%5C%5C%20r%20%5Capprox%20%5C%3B%204.5%20%5C%3B%20km%20)
Conclusion:
The radius of the circular region rounded to the nearest tenth is 4.5 km.
There are 72 ,2 inch segments in 12 feet
Answer:
x =3.
Step-by-step explanation:
This is an isosceles triangle so the 2 sides opposite the equal angles are congruent.
So 3x + 2 = 11
3x = 9
x = 3.
Answer:
y = - 2x + 12
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 2, thus
y = - 2x + c ← is the partial equation
To find c substitute (5, 2) into the partial equation
2 = - 10 + c ⇒ c = 2 + 10 = 12
y = - 2x + 12 ← equation of line