Answer:
Step-by-step explanation:
Height of wall = 10ft
Length of ladder = 12ft
Angle of elevation be x
Sin x = opp/hyp
Sin x = wall height/length of ladder
Sin x = 10/12
Sin x = 0.83
X = Sin-¹ (0.83)
X = 56.44°
Answer:
426
Step-by-step explanation:
6(
)
= 453 - 6 * 4
= 453 - 27
= 426
Answer:
B) 9 cm
Step-by-step explanation:
Just look at the triangle and use Pythagoras theoreum.
a² + b² = c²
a = 9 9 - 4.9 = 5
b = ?
c = 10
5² + b² = 10²
b² = 100 - 25
b² = 75
b = + - SQRT( 75 )
{Only the positive term has a meaning here.}
b = 8.66 rounded that is 9, which is answer B.
Answer:
1 5/8
Step-by-step explanation:
2 7/8 - 1 1/4 = 1 5/8.
hope this helps :)
Answer:
Step-by-step explanation:
Given the populations P (in thousands) of a certain town in North Carolina, from 2006 through 2012 modeled by
P = 5.5e^kt,
If in 2008, the population was 7000. then;
at t = 2, P = 7000
7 = 5.5e^2k
7/5,5 = e^2k
1.2727= e^2k
Apply ln to both sides
ln 1.272 = lne^2k
ln 1.272= 2k
0.2411 = 2k
k = 0.2411/2
k = 0.1206 (to 4dp)
By 2018, the time t = 12 (2006-2018)
Substitute
P = 5.5e^(0.1206)(12)
P = 5.5e^(1.4468)
P = 5.5(4.2495)
P = 23.3722
P = 23372
Hence the population after 12 years is approx 23,372 populations
