X is a variable to find it you need to isolate it(get it by itself)
Answer:
1) 8.9 cm
2) 44.5 cm^2
Step-by-step explanation:
a) we want to calculate the length of the arc
Mathematically, we use the formula for the length of an arc
That will be ;
theta/360 * 2 * pi * r
theta = central angle = 51
r is radius = 10 cm
so we have ;
51/360 * 2 * 22/7 * 10 = 8.9 cm
2) The area of the sector is;
theta/360 * pi * r^2
51/360 * 22/7 * 10^2
= 44.5 cm^2
Answer:
Step-by-step expThis is the concept of trigonometry, the value of x will be calculated as follows;
sin theta=[opposite]/[hypotenuse]
theta=x
opposite=16 units
hypotenuse=21 units
thus;
sin x=16/21
hence;
x=arcsin(16/21)
x=49.63
x=50 (to the nearest degrees)
Answer:
D because 0.75 in fraction form is 3/4 and 3/4 is greater then 2/3 which is the graphs rate of change.
Step-by-step explanation:
Since, population of species A is represented by : 
Let us find the population of species A, at the end of week 1:
i.e., x = 1
i.e., 
i.e., 
i.e., 
Also, since population of species B is represented by : 
Let us find the population of species B, at the end of week 1:
i.e., x = 1
i.e., 
i.e., 
i.e.,
Thus, at the end of 1 week, species A and species B will have the same population.
Hence, option D is correct.
