Solution
- The question gives us a composite figure made up of a cylinder and a cube.
- We are required to find the volume of the cylinder and the cube and then use the results to find the volume of the composite figure.
- The formulas needed for this calculation are:
- With the information above, we can proceed to solve the question
Volume of the Cylinder:
Volume of Cube:
Volume of Composite Figure:
Final Answer
The volume of the composite shape is 842.04 cm³
If you want to round to the nearest tenth the answer would be 80• and 51•
First, solve for each of the angles. Since it is a right triangle, one of the angles is 90 degrees. Knowing that the sum of the angles of a triangle are always equal to 180 degrees, you can write an equation for the triangle.
Angle1+ angle2+angle3=180.
Which means that 90+(x+15)+2x=180.
After finding the value of x, which is 25 in this case, solve for each angle.
X+15=25+15=40.
2x=25*2= 50
The value of the smallest angle is 40 degrees.
Answer:
2.2 × 10³ mm³
Step-by-step explanation:
We have a triangular prism with the following dimensions:
Altitude: 20.5 millimeters
Base: 16 millimeters
Height: 13.3 millimeters
We can calculate the volume of a triangular prism using the following expression.
V = (1/2 × Altitude × Base) × Height
where,
(1/2 × Altitude × Base) is the area of the base
V = (1/2 × Altitude × Base) × Height
V = (1/2 × 20.5 mm × 16 mm) × 13.3 mm = 2.2 × 10³ mm³
Answer:
x Superscript 9 Baseline (RootIndex 3 StartRoot y EndRoot)
OR x^9/(∛y)
Step-by-step explanation:
Given the indicinal equation
(x^27/y)^1/3
To find the corresponding expression, we will simplify the equation as shown:
(x^27/y)^⅓
= (x^27)^⅓/y⅓
= {x^(3×9)}^⅓/y⅓
= x^9/y⅓
= x^9/(∛y)
The right answer is x Superscript 9 Baseline (RootIndex 3 StartRoot y EndRoot)
