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
108 kilometers is 108,000 meters
108,000 ÷ 60 = 1800 meters per minute
1800 ÷ 60 = 30
Answer:
26cm
Step-by-step explanation:
Pythagoras' theory
10^2 + 24^2 = c^2
100 + 576 = 676
root of 676 is 26
Answer:
a=72 and b=36
Step-by-step explanation:
A=2B
A-10-13=B+13
Given:
Consider the below figure attached with this question.
To find:
The measure of angle r by using the cosine rule.
Solution:
According to Law of Cosine,

Using the Law of Cosine, we get




On further simplification, we get






Therefore, the measure of angle r is 106.78 degrees.