Answer:
x = 17 ft ... ( nearest 10th of a foot )
Step-by-step explanation:
Given:-
- The side length of inner square = x ft
- The side length of outer square = 20 ft
Find:-
Find the side length of the inner square that would make the area of the inner square equal to 75% of the total area of the garden.
Solution:-
- Compute the area of the inner square (A_i) using side length (x):
A_i = side length ^2
A_i = x^2 ft^2
- The area of the entire garden is the area (A_o) of the outer square with side length equal to 20 ft.
A_o = side length ^2
A_o = 20^2
A_o = 400 ft^2
- The 75% of the entire garden is :
(75 / 100)*A_o
(75 / 100)*400
300 ft^2
- The area of the inner square is 75% of the entire garden the mathematical expression for it is:
A_i = 300 ft^2
x^2 = 300 ft^2
- The side length required for the inner square is the solution to the quadratic equation above:
x = √300
x = 17.320508ft.
x = 17 ft ... ( nearest 10th of a foot )
Answer:
44 miles per hour
44 miles per 60 minutes
44/4 miles per 60/4 minutes
11 miles per 15 minutes
Answer:
9
Step-by-step explanation:
All triangles (3 sided polygons) have angles added up to 180, so we can do the following:
(7x-1) + (7x+8) + (5x+2) = 180° <em>- equation</em>
7x-1 + 7x+8 + 5x+2 = 180° <em>- "distribute"</em>
19x - 1 + 8 + 2 = 180°<em> - combine the x terms</em>
19x + 9 = 180° <em>- combine the integer terms</em>
19x = 171 <em>- subtract 9 form both sides</em>
x = 9 <em>- divide both sides by 19</em>
We just need to substitute in 6 whether we see an x:
(7*6) - 4*(6-6) + 12
= 42 - 4*0 + 12
=54
