Answer:
The length of each side of the city is 250b
Step-by-step explanation:
Given
--- tree distance from north gate
--- movement from south gate
--- movement in west direction from (b)
See attachment for illustration
Required
Find x
To do this, we have:
--- similar triangles
So, we have the following equivalent ratios
Where:
Substitute these in the above equation
Express as fraction
Cross multiply
Open bracket
Rewrite as:
Expand
Factorize
Factor out x + 284
Split
Solve for x
x can't be negative;
So:
Answer:
Step-by-step explanation:
a) Pythagorean theorem,
altitude² + base² = hypotenuse²
h² + (w² - 1)² = (w² + 1)²
h² = (w² + 1)² - (w² - 1)²
{Compare with (a + b)² - (a -b)² = 4ab where a =w² & b = 1}
h² = 4*w²*1
h² = 4w²
b) Area of triangle = 
c) w =2
Area of triangle = 3w = 3*2 = 6
1/1000 of a liter is a milliliter, so a.
1 milliliter is equal to 1 cm^3, so b
10 1/2 is the answer.
Steps:
Change the fraction to improper fractions.
Multiply
Reduce
Change to proper fraction
Steps(Another Way):
Change the fraction to improper fractions.
Reduce by crossing it(5 and 15 reduced to 1 and 3; 4 and 14 reduced to 2 and 7.)
Change answer to proper fraction.
