let's recall that the sum of all interior angles in a triangle is 180°.
an equi-lateral, equal sides, triangle has all sides that are equal.
sides that are equal will yield an equal opposite angle.
so if all sides are equal, all angles are equal, for a sum of 180°, that's only possible with 60°, 60° and 60° angles, and all of them are acute, none obtuse.
Answer:
168.7602 miles
Step-by-step explanation:
One way to solve this problem is by using an equation that describes the listening radius of the station, and another for the road, then the points where this two-equation intersect each other will represent when the driver starts and stops listening to the station, and the distance between the points is the miles that the driver will receive the signal.
The equation for the listening radius (the radio station is at (0,0)):
The equation for the road that past through the points (-120,0) and (80,100) (Collinsville and Harmony respectively):
Substitutes the value of y in the equation of the circle:
The formula to solve second-degree equations:
Using the values in x to find the values in y:
The distance between the points (51.4718,85.7359) and (-99.4718,10.2641) :
Answer:
Step-by-step explanation:
sin(45) x sin(60) = 1 -
This equation is false...
sin(45) * sin(60) = 0.612372435
1 - = -0.456475315
Answer:
(B)1059.265 deer per square mile
Step-by-step explanation:
Population Density in Clinton County = 23 deer per sq. mile.
Area of state of Pennsylvania = 46.055 sq miles
Since the population density of deer in the entire state of Penn. is the same as in Clinton County.
Population Density of deer in Pennsylvania = 23 deer per sq. mile.
Population Density = Number of Deers/Area of the Region
23 = x/46.055
Cross Multiplying
x=23 X 46.055
=1059.265 deer per square mile
There are 1059.265 deer per square mile in Pennsylvania.