Answer:
5089.4cm³ (rounded to 1 d.p.)
Step-by-step explanation:
Volume of cylinder =
× r² × h
Volume of cylinder =
× 9² × 20
= 1620
= 5089.4cm³ (rounded to 1 d.p.)
Answer:

Step-by-step explanation:
Let
x ----> represents the number of 3-point field goals
y ----> represents the number of 2-point field goals
we know that
The number of 3-point field goals multiplied by 3 plus the number of 2-point field goals multiplied by 2 plus the number of free throws (4) multiplied by 1, must be equal to 27 points
so
The equation that represent this situation is

Answer:
The area of square in terms of x = 16x² -24x + 9
Step-by-step explanation:
It is stated in the question that the length of a square = 4x - 3
Formula to find the area of the square is
Area = length²
Area = ( 4x - 3 )²
by using ( a - b )² = a² + b² - 2ab
here a = 4x and b = -3
So,
(4x)² + (-3)² - 2(4x)(3)
16x² + 9 - 2(12x)
16x² + 9 - 24x
16x² -24x + 9
The area of square in terms of x = 16x² -24x + 9
Both angles will equal 180, as there is a line bisecting line AB to create the two angles.
Set up the following equation to have both angles equal 180:


Combine like terms:



Subtract 12 from both sides:

Divide both sides by 2:

We now know the value of x, so plug it into the equation we set up:


An obtuse angle will have a measure above 90 degrees. The number on the left side that is above 90 degrees is 119. This would be the measure for the obtuse angle.
The obtuse angle is
119 degrees wide.