Answer:
63
Step-by-step explanation:
use tangent formula
Answer:2/pi
Step-by-step explanation:
First, name the points. Top Left will be A, Top Right will be B, Bottom Right will be C, and Bottom Left will be D. Now, the area of ABCD is 4. Then, we have to find the area of the circle. The center to the midpoint of AB is 1. The length of the midpoint of AB to B is 1. So, using the Pythagorean Theorem, it will be 1^2 + 1^2 = 2, then it will be sqrt2. Finding the area of the circle will be easy now that we have the radius. sqrt2*sqrt2*pi = 2pi. So, it will be 4/2pi, and simplified, it will be 2/pi.
I really don’t remember how to do these
In a circle, the measure of an inscribed angle is half the measure of the intercepted arc.
m∠B = arc AC/2 = 110/2 = 55°
Answer:
The linear model means that there is a uniform increase and in this case of US population from 92 million people in 1910 to 250 million people in 1990
.
This means an increase of 250
−
92
=
158 million in 1990
-1910
=
80 years or
158
80
=
1.975 million per year and in x years it will become 92
+
1.975
x million people. This can be graphed using the linear function 1.975
(
x
−
1910
)
+
92
,
graph{1.975(x-1910)+92 [1890, 2000, 85, 260]}
The exponential model means that there is a uniform proportional increase i.e. say p
% every year and in this case of US population from 92 million people in 1910 to 250 million people in 1990
.
This means an increase of 250
−
92
=
158 million in 1990
−
1910
=
80 years or
p
% given by 92
(
1
+
p
)
80
=
250 which gives us (
1
+p
)
80
=
250
92 which simplifies to p
=
(
250
92
)
0.0125
−
1
=
0.0125743 or 1.25743
%
.
This can be graphed as an exponential function 92
×
1.0125743
(
x
−
1910
)
, which gives population in a year y and this appears as
graph{92(1.0125743^(x-1910)) [1900, 2000, 85, 260]}
Step-by-step explanation:
Hope this helps
