Answer:
x = 15
y = 12
z = 20
Step-by-step explanation:
For right angle x^2 + z^2 = (9 + 16)^2 => x^2 + z^2 = 625
then z^2 = y^2 + 16^2 => y^2 = z^2 - 256
and x^2 = y^2 + 9^2 => y^2 = x^2 - 81
so z^2 - 256 = x^2 - 81
z^2 = x^2 + 175
replace z^2 = x^2 + 175 into the first equation
x^2 + (x^2 + 175) = 625
2x^2 = 450
x^2 = 225
x = 15
If x = 15 => 15^2 + z^2 = 625 => z^2 = 400 => z = 20
y^2 = z^2 - 256 => y^2 = 400 - 256 = 144
then y = 12
14 - 12 = 2 dollars left over to buy containers. They each got one container each.
C is the answer for this question
Answer: 21.994 cm²
Step-by-step explanation:
Area of the shaded region = Area of the bigger circle - the areas of the two smaller circles.
Formula for finding area of a circle = πr² where π is a constants . It has value of 22/7 or 3.142
Now area of the bigger circle = 3.142 x 3²
= 3.142 x 9
= 28.278 cm² Now are of the two smaller triangle = 3.142 x 1² x 2
= 6.284 cm².
Therefore are of the shaded region = 28.278 - 6.284
= 21.994 cm²
Answer:
Part 1) 
Part 2) 
Step-by-step explanation:
we know that
A composite function is a function that depends on another function. A composite function is created when one function is substituted into another function
we have
Part 1) Determine f(g(x))
To find f(g(x)) substitute the function g(x) as the variable in function f(x)
so
Part 2) Determine g(f(x))
To find g(f(x)) substitute the function f(x) as the variable in function g(x)
so
For x=5
