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:
Final answer is 
Step-by-step explanation:
given that AB is parallel to NP
then ratio of corresponding segments must be equal
Cross multiply
Hence final answer is
Answer:
(f • g)(x) = log (-x + 1)
Step-by-step explanation:
Here is a composite function
What we simply have to do here is to make a substitution
the substitution we are going to make is that we will substitute the value of x in f(x) with the entirety of g(x)
This simply mean that we replace every x we find in f(x) with the entire equation of g(x)
we have this as;
f(g(x)) = log (-x + 1)
Answer:
Step-by-step explanation:
HI there!
From the question;
Principal (p) = 300
Annual rate (r) = 3%
Time (t) = 4 yrs
Now;
Interest (I) = 
I = 
I = 
Therefore the interest earned is 36.
Again;
New balance (A) = principal + interest
= 300+36
Therefore, the new balance is 336.
Hope it helps!
Answer:
boys = 9 ( eighth grade ) + 1 ( seventh grade) = 10 boys
girls = 3 (eight grade) + 9 ( seventh grade) = 12
probability = 22÷ 2
= 1/11
