The surface area of the pentagonal prism is 648 square inches.
Step-by-step explanation:
Step 1:
The surface area of a shape is the sum of all the areas of all the external surfaces.
The pentagonal prism has a total of 7 sides i.e. 2 pentagonal sides and 5 rectangular sides.
The total surface area of the prism is the sum of the individual areas of the 7 sides.
Step 2:
The area of the 2 pentagonal sides
square inches.
The area of each rectangular side is 80 square inches. So
The area of 5 rectangular sides
square inches.
The total surface area of the prism
square inches.
The surface area of the pentagonal prism is 648 square inches.
Answer:
(x-1)(x-9)
Step-by-step explanation:
Answer/Step-by-step explanation:
x + 74° + 20° = 180° (sum of interior angles of a triangle)
x + 94° = 180°
x = 180° - 94° (subtraction property of equality)
x = 86°
y = 74° + 20° (exterior angle theorem of a triangle)
y = 94°
y + z + 32° = 180° (sum of interior angles of a ∆)
Plug in the value of y
94 + z + 32 = 180
z + 126 = 180
z = 180 - 126
z = 54°
Answer:
4x² + 41x - 33
Step-by-step explanation:
- F in foil stands for 'first'; take the first value in each bracket and multiply them together. So 4x × x = 4x²
- O in foil stands for 'outside'; take the outermost values from each bracket and multiply them together. So 4x × 11 = 44x
- I in foil stands for 'inside'; take the innermost values for each bracket and multiply them together. So -3 × x = -3x
- Finally, L in foil stands for 'last'; take the last value in each bracket and multiply them together. So -3 × 11 = -33
- Now, we can put this all together and simplify: 4x² + 44x - 3x - 33 → 4x² + 41x - 33.
Hope this helps!
What is the irregular shape supposed to be