Answer: 15° and 70°
Step-by-step explanation:
The sum of angles of a triangle is 180.
One of the angle is given to be 95°, this means that the sum of the remaining two angles will be ;
180 - 95 = 85°
The ratio of the two sides is given to be 3 : 14
Calculating the angles of each ,the angle with the ratio 3 will be
3/17 x 85 = 15°
The angle with the ratio 14 will be
14/17 x 85 = 70°
Therefore : the measures of the two angles are : 15° and 70°
Answer:
therefore the correct options are:
B. the equation is an exponential decay equation.
F. $28000 represents the initial cost of an automobile that depreciates 27% per year over the course of t years.
Step-by-step explanation:
i) the cost of an automobile is given by the equation is
C(t) =
, where C(t) represents the cost and t represents the time in years
ii) the above equation is an exponential decay equation. It is a decay equation because growth rate is 0.73 which is less than 1 and greater than zero.
ii) when t = 0 then the cost is C(0) = 28000 represents the initial cost.
iii) from the equation in i) we can understand that the cost depreciates 27% per year over the course of t years.
therefore the correct options are:
B. the equation is an exponential decay equation.
F. $28000 represents the initial cost of an automobile that depreciates 27% per year over the course of t years.
F(x) =x² - 10x, f⁻¹(x) =?
1st find the missing square of x²-10x, ==> (x-5)² - 25
y= (x-5)² - 25; replace x by y and v0ce versa: x= (y-5)² -25
or
(y-5)² = x+25
y-5 = √(x+25) and y = √(x+25) -5
Domain = {x∈R: X>= 25} AND Range ={y∈R: y>= 5}
Answer:
(a) the median grade lies between 76 and 84
(b) the Median grade is greater than the mean grade.
(d) the median grade is a B
Step-by-step explanation:
consider the histogram carefully and answer.
R = 8
h = 15
a = r^2 * pi
a = 64pi = 201.06 sq.in.
201.06 * 15 = 3015.9 cubic inches.