Answer:
First option: True.
Step-by-step explanation:
To know if the volume of this cylinder is 496.21 ft³, you need to use the formula for calculate the volume of a cylinder:
Where "r" is the radius and "h" is the height.
You can observe in the figure that the radius of the cylinder is 4.5 feet and the height is 7.8 feet.
Then, knowing this, you can substitute these values into the formula.
Therefore, the volume of this cylinder is:
Then the answer is: True.
Answer:
<em>Both equal sides have a length of 29 cm.</em>
<em>The third inequal side is 9 cm.</em>
Step-by-step explanation:
<u>System of Equations</u>
With the data provided in the problem, we can form a system of two equations with two unknowns.
Let's call x to each equal side of the isosceles triangle and y to the other side. One condition states that each equal side is 2 cm more than three times the other side. It can be written as:
We also know the perimeter of the triangle is 67 cm. Since we have to equal sides to x:
Let's put together both equations:
To solve the system, we can use the x from the first equation and replace it into the second equation:
Operating:
Joining like terms:
Solving for y:
The third inequal side is 9 cm. Now find the value of x.
Both equal sides have a length of 29 cm.
