Answer:
BC ≈ 14.7 m
Step-by-step explanation:
Using the Sine rule in Δ ABC
= 
To find ∠ A subtract the 2 given angles from 180°
∠ A = 180° - (90 + 28)° = 180° - 118° = 62°
Then
= 
( cross- multiply )
BC × sin28° = 7.8 × sin62° ( divide both sides by sin28° )
BC = 
≈ 14.7 m ( to 3 significant figures )
Here is how to work 2, 3 , and 4.
B² - 4ac
= 8² - 4*(-2)*(-9)
= 64 - 72
= -8
Answer:
about 78 years
Step-by-step explanation:
Population
y =ab^t where a is the initial population and b is 1+the percent of increase
t is in years
y = 2000000(1+.04)^t
y = 2000000(1.04)^t
Food
y = a+bt where a is the initial population and b is constant increase
t is in years
b = .5 million = 500000
y = 4000000 +500000t
We need to set these equal and solve for t to determine when food shortage will occur
2000000(1.04)^t= 4000000 +500000t
Using graphing technology, (see attached graph The y axis is in millions of years), where these two lines intersect is the year where food shortages start.
t≈78 years
After you cut off 6 pieces, the rope is 18.25 inches long
