I think 725 would be the correct answer
The prism has 6 faces.
Each pair of opposite faces is congruent.
The front and back faces are rectangles that measure 10 cm by 5 cm.
The right and left faces are rectangles that measure 5 cm by 3 cm.
The top and bottom faces are rectangles that measure 10 cm by 3 cm.
Now we find the area of each rectangle.
The front and back faces are rectangles that measure 10 cm by 5 cm.
Each face:
A = 10 cm * 5 cm + 50 cm^2
The right and left faces are rectangles that measure 5 cm by 3 cm.
Each face:
A = 5 cm * 3 cm = 15 cm^2
The top and bottom faces are rectangles that measure 10 cm by 3 cm.
Each face:
A = 10 cm * 3 cm = 30 cm^2
There are two faces shaped like each rectangle above, so we multiply each rectangle's area by 2, and we add them together.
total surface area = 2 * 50 cm^2 + 2 * 15 cm^2 + 2 * 30 cm^2
total surface area = 100 cm^2 + 30 cm^2 + 60 cm^2
total surface area = 190 cm^2
Answer: x=-2
Step-by-step explanation:
Given
f(x)=2(3x+7)-4(x-2)
f(x)=18
Use substitution method
2(3x+7)-4(x-2)=18
Expand parenthesis
6x+14-4x+8=18
Combine like terms
2x+22=18
Subtract 22 on both sides
2x+22-22=18-22
2x=-4
Divide 2 on both sides
2x/2=-4/2
x=-2
Hope this helps!! :)
Please let me know if you have any questions
Answer:
Zero
Step-by-step explanation:
We are to find
Here the integral is of the form x varying from negative to positive
And negative limit = positive limit in dimension
Let us assume
A function is odd if f(x) = -f(-x) and even if f(x) = f(-x)
Let us check f(-x) = -f(x)
So f is an odd function.
As per properties of integration, we have
=0 if fis an odd function.
Our function f is odd and a = infinity
So we can apply this rule to find out the
integral value is zero.