Answer:
117
Step-by-step explanation:
182/14=13
13x9=117
Answer:
i = 75.7°
h = 48.2°
Step-by-step explanation:
==>To find i, use the sine rule for finding angles: sin(A)/a = sin(B)/b
Where,
a = 7.2cm
sin(A) = i
b = 6.5cm
sin(B) = sin(61) = 0.8746
Thus:
sin(A)/7.2 = 0.8746/6.5
Multiply both sides by 7.2
sin(A) = (0.8746*7.2)/6.5
sin(A) = 0.969 (3 s.f)
A = i° = sin^-1(0.969) = 75.7 (3 s.f)
==>To find h, use the Cosine rule for angles:
Cos(C) = (a²+b²-c²)/2ab
cos(C) = h°, a = 4, b = 4.5, c = 3.5
a² = 16
b² = 20.25
c² = 12.25
cos(C) = (16+20.25-12.25)/(2*4*4.5)
cos(C) = 24/36
cos(C) = 0.667 (3 s.f)
C = h° = cos^-1(0.667) = 48.2° (3 s.f)
Answer:
43
Step-by-step explanation:
YZ is the diameter, so arc YZ = 360°/2 = 180°
arc XZ = 360° - arc YZ - arc YWX = 360° - 180° - 100° = 80°
∠XYZ is an inscribed angle <span>so it is equal to half the arc XZ
</span>∠XYZ = 80°/2 = 40°
Answer:
It will increase by 24 starfish
Step-by-step explanation:
The population is modeled by the following differential equation:
Which has the following solution:
In which N(0) is the initial population and r is the growth rate.
A population of 2000 starfish has a yearly per capita population growth rate of 0.012.
This means that 
By next year, how do you expect population size to have changed?
This is N(1).
2024 - 2000 = 24
So the correct answer is:
It will increase by 24 starfish
