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:
5ft
explanation:
9ft - 4ft = 5ft
Answer:
<h3>300 minutes </h3>
Step-by-step explanation:
cause 100 cats can catch 100 bunnies in 300 min
Answer:
their distance is increasing at the rate of 41.6 miles/hr
Step-by-step explanation:
Given the data in the question;
first we determine the distance travelled by the first boat in 10 min when the second boat was crossing its path;
⇒ ( 30/60 ) × 10 = 5 miles
so as illustrated in the diagram below;
y² = x² + ( x + 5 )²
2y
= 2x
+ 2(x+5)
y = ( 2x + 5 ) ]
= [( 2x + 5 )/y ] ------ let this be equation 1
Now, given that, = 30 miles/hr, when x = 10
so
y = √( 10² + 15² ) = √325
so from equation 1
= [( 2x + 5 )/y ]
we substitute
= [( 2(10) + 5 ) / √325 ]30
= [ 25 / √325 ] × 30
= 41.6 miles/hr
Therefore, their distance is increasing at the rate of 41.6 miles/hr
