Answer:
To see how these fractions are equal, I divided the numerators by the denominators. For instance, you could have 4 over 5 (4/5) and divide 4 by 5 (4/5) to get 0.8. Now you'll do the same thing for the fractions given
24/45=0.533...
8/15=0.533...
48/90=0.533...
5/9=0.5556
As you can see, the only fraction that doesn't equal 0.53, or the outlier, is 5/9 or 0.5556
Step-by-step explanation:
Answer:
x = 
Step-by-step explanation:
If both the triangles ΔABC and ΔBCD are congruent,
Corresponding sides of both the triangles will be proportional.
5x(4x + 3) = (5x - 2)(3x + 10)
20x² + 15x = 15x² + 50x - 6x - 20
20x² + 15x = 15x² + 44x - 20
20x² - 15x² = 44x - 15x - 20
5x² = 29x - 20
5x² - 29x + 20 = 0
5x² - 25x - 4x + 20 = 0
5x(x - 5) - 4(x - 5) = 0
(5x - 4)(x - 5) = 0
All the numbers are tilted at a 90 degree angle, except for the number 4 which it tilted at an angle of 89 degrees, hoped this helps
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
EG and FH are diagonals of the rhombus and the bisect each other at the centre to for a righ angle triangle with the side of the rhombus as the hypothenus.
By pythagoras theorem,
