Answer:
m<2 = 4x - 26 = 4(30) - 26 = 94 degrees
m<3 = 3x + 4 = 3(30) + 4 = 94 degrees
Step-by-step explanation:
Congruent angles are equal, so m<2 = m<3
4x - 26 = 3x + 4
x = 30
m<2 = 4x - 26 = 4(30) - 26 = 94 degrees
m<3 = 3x + 4 = 3(30) + 4 = 94 degrees
Surface area of a cone = π{rs+r²}<br /> =πr{s+r}<br />part 1:if π is 6 units and s is 4 units then r would be 3.14 ×6 {4+6}<br /><br />part 2: area of a cone = 3.14 ×6×10<br /> =31.4×6<br /> = 188.4 units²<br />the surface area = 188.4 <br />units²<br /> hope i helped
Answer:
Step-by-step explanation:
The population of a city is 250,000 and the annual growth rate is 2.2%
General equation for exponential growth is
Where y is final population and P is the initial population
'r' is the rate of growth and x is the number of years
p = 25000 and r= 2.2%= 0.022. Replace all the values in the general equaiton
Use binomial distribution, with p=0.20, n=20, x=3
P(X=x)=C(n,x)p^x (1-p)^(n-x)
P(X>=3)
=1-(P(X=0)+P(X=1)+P(X=2))
=1-(C(20,0)0.2^0 (0.8)^(20-0)+C(20,1)0.2^1 (0.8)^(20-1)+C(20,2)0.2^2 (0.8)^(20-2))
=1-(0.0115292+0.057646+0.136909)
=1-0.206085
=0.793915
