Answer:
Zb=62
Step-by-step explanation:
Two angles are complementary when they add up to 90 degrees.
90-28=62
A. x-6=6
if u plug in 12, you get 12-6=6 which is true
all the other ones would be false if you plugged in 12
9514 1404 393
Answer:
increasing 7/24 ft per week
Step-by-step explanation:
An expression for the length of the base can be written from the Pythagorean theorem relation between the sides of the triangle.
If the height is 7-x, where x is the number of weeks after the height is 7 feet, then the base length is ...
b = √(25^2 -(7-x)^2) = √(625 -(49 -14x +x^2)) = √(-x^2 +14x +576)
Then the rate of change of b with respect to x is ...
b' = (-2x +14)/(2√(-x^2 +14x +576))
When x=0, the rate of change of the base is ...
b' = 14/(2√576) = 7/24
The base is increasing 7/24 ft per week when the height is 7 ft.
Answer:
6n(n - 1)(n^2 - 3n - 3).
Step-by-step explanation:
The GCF = 6n.
6n^4 - 24n^3 + 18n
= 6n(n^3 - 4n^2 + 3)
Putting n = 1 in the expression in the parentheses:
(1)^3 - 4(1)^2 + 3 = 0 so n - 1 is a factor.
Dividing:
n - 1 ) n^3 - 4n^2 + 0n + 3 ( n^2 - 3n - 3
n^3 - n^2
-3n^2 + 0n
-3n62 + 3n
- 3n + 3
-3n + 3
So the factors are 6n(n - 1)(n^2 - 3n - 3).
Answer:
7.722 cm^2.
Step-by-step explanation:
The area required is 1/4 of the difference of the area of the square and the circle.
The radius of the circle = 1/2 * 12 = 6 cm.
The area required = 1/4 * (12^2 - 3.142 * 6^2)
=7.722 cm^2.
