If 3b - 4 = 2, then 3b = 6, or b = 2. If b = 2, then 2a + 3(2) = 12 2a + 6 = 12 2a = 6 and then a = 3.
The exact volume of this cylinder is equal to 225π cubic centimeters.
<h3>How to calculate the volume of a cylinder.</h3>
Mathematically, the volume of a cylinder is given by this formula:
<u>Where:</u>
<u>Given the following data:</u>
Height of cylinder = 9 cm.
Diameter of cylinder = 10 cm.
Radius = 
Substituting the given parameters into the formula, we have;
Volume = 
Read more on volume of a cylinder here: brainly.com/question/21367171
The pythagorean theorem is used to calculate the lengths of a right triangle
The hypotenuse of the triangle is 6.5 cm
<h3>How to determine the hypotenuse of the triangle?</h3>
From the complete question, we have the following side lengths
- Opposite = 5.7 cm
- Adjacent = 3.2 cm
The hypotenuse of the triangle is then calculated as:
Hypotenuse^2 = Opposite^2 + Adjacent^2
This gives
Hypotenuse^2 = 3.2^2 + 5.7^2
Evaluate the sum
Hypotenuse^2 = 42.73
Take the square root of both sides
Hypotenuse = 6.5
Hence, the hypotenuse of the triangle is 6.5 cm
Read more about hypotenuse at:
brainly.com/question/654982
By Newton's second law, the net force on the object is
∑ F = 10.0 N + F = (7.0 kg) (1.0 m/s²)
where F is the unknown force. Since the object is accelerating to the east, F must be acting in the same or opposite direction as the known force that is also directed eastward. Solve for F :
10.0 N + F = 7.0 N
⇒ F = - 3.0 N
which is to say, F has magnitude 3.0 N and points toward the west.
