Answer:
the actual distance is 1800 ft.
Step-by-step explanation:
Proportion states that the two fractions or ratios are equal.
Let x be the actual distance.
As per the statement:
Reggie was looking at a map of the school the scale shows that 1 inch equals 150 ft.
⇒1 inch = 150 ft.
if the distance between his classroom in the cafeteria measures 12 in on the map.
by definition of proportions we have;
By cross multiply we have;
ft
Therefore, the actual distance is 1800 ft.
the perimeter of the triangle=14.38
The coordinates of the triangle (4,1),(2,5),(1,-1);
In geometry, the perimeter of a shape is defined as the total length of its boundary.
The perimeter of the triangle is the sum of all the sides of the triangle =a+b+c (assuming a,b, and c are the sides of the triangle)
By using the distances formula find the length of the sides of the triangle:√[(x₂ - x₁)² + (y₂ - y₁)²],
where (x₁,y₁),(x₂,y₂) are the coordinates ,
a=√[(4 - 2)² + (1- 5)²] = =4.7
b=√[(2 -1)² + (5 -(-1))²]==6.08
c=√[(1 -4)² + ((-1)-1)²]==3.60
the perimeter of the triangle=a+b+c=4.7+6.08+3.60=14.38
hence ,perimeter of the triangle=14.38
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