Answer:
66°
Step-by-step explanation:
An exterior angle of a triangle is equal to the sum of the opposite interior angles.
x + y = z
5n − 19 + n + 7 = 144 − 6n
6n − 12 = 144 − 6n
12n = 156
n = 13
m∠z = (144−6n)°
m∠z = (144−6×13)°
m∠z = 66°
The rate of increase of population of Hermitville is given by:
PR=(Present Population-Past Population)/(Past population)*100
PR=(186480-142340)/142340×100
PR=31.01%
The population increase in Hermitville is 31.01;
This implies that it's population growth is faster than that of Crabville by a factor of
31.01/26=1.19.
The answer is B
Answer:
Area : 114.25 in^2
Perimeter : 47.7 in
Step-by-step explanation:
In this problem when finding the perimeter you have a normal triangle and a semi-circle. so you add the 2 sides of the triangle and find the circumference of a semi-circle with a radius of 5.
17 + 15 + {(3.14)[2(5)]}/2 =
32 + {(3.14)[10]}/2 =
32 + 31.4/2 =
32 + 15.7 =
47.7
When finding the are you have to make the shapes as easy as possible. In this case you divide it to be triangle and semi-circle. Then add the 2 areas together.
[15(10)]/2 + {(3.14)[(5)^2]}/2
150/2 + {(3.14)[25]}/2
75 + 78.5/2
75 + 39.25
114.25
The answer is option c.
That is, the wrong step in step 6. It was written that the center of the circunference is the point (2.1). However, the general equation of a circumference is:
(X- (a)) ^ 2 + (Y- (b)) ^ 2 = r ^ 2
Where the point (a, b) is the center of the circle.
So for this case the point for the center is: (-2, -1)
The length of an arc in a circle is radius x the angle (Ф).
Mind you angle Ф should be in radian.
1st let's convert 36° into radian
36/180 = x/π===> x=(π x 36)/180 ==> x = 2π/5 = 1.257 radian
so the arc length = 0.628 x 2 =5.585