Answer:
The Bill of Rights was added to the Constitution in the form of amendments. The chief purpose of the amendments was to protect the rights of individuals from the government's interference. They guarantee rights such as religious freedom, freedom of the press, and trial by jury to all American citizens.
Step-by-step explanation:
Answer:
f(g(x)) = 4x² - 12x + 9
Step-by-step explanation:
Substitute x = g(x) into f(x) , that is
f(g(x))
= f(2x - 3)
= (2x - 3)² ← expand using FOIL
= 4x² - 12x + 9
15/9 = 1.6666... (where 6 repeats infinitely)
If we're rounding to 2 decimal places, 6 will round up to 7
Therefore, B. 1.67 is your answer
Answer:
The measure of the angles are 61° and 119°
Step-by-step explanation:
Let the first angle = x°
let the second angle = y°
The sum of two supplementary angles = 180°
x° + y° = 180° ----- equation (1)
based on the given question; "the difference of two supplementary angles is 58 degrees."
x° - y° = 58° ------- equation (2)
from equation (2), x° = 58° + y°
Substitute the value of x into equation (1)
(58° + y°) + y° = 180°
58 + 2y = 180
2y = 180 -58
2y = 122
y = 122 / 2
y = 61°
The second angle is given by;
x° = 58° + y°
x = 58° + 61°
x = 119°
Thus, the measure of the angles are 61° and 119°
We know that
circumference=2*pi*r-------> r=circumference/(2*pi)
circumference=30 in
r=circumference/(2*pi)------> 30/(2*pi)-----> 4.7746 in
the radius of a <span>standard basketball is 4.77 in
</span>
<span>the distance between the ball and the rim is equal to
</span>radius of a basketball rim minus radius of a a standard basketball
radius of a basketball rim =18/2------> 9 in
radius of a a standard basketball=4.77 in<span>
</span>
the distance between the ball and the rim=[9-4.77]------> 4.23 in
the answer is
4.23 in
