Answer:
3a^2 - 6b + 2ab
Step-by-step explanation:
Put all the like terms together
(4a^2 - a^2) - (7b + b) + 2ab
then simplify
(4a^2 - a^2) = 3a^2
(-7b + b) = -6b
then rewrite
3a^2 - 6b + 2ab
For this case we have that the volume of the figure is composed of the volume of a prism and the volume of a pyramid:
The volume of the prism is given by:
Where:
: It is the area of the base
h: It's the height
Substituting:
The volume of the pyramid is given by:
Where:
It is the area of the base
h: It's the height
Substituting:
We add and we have:
ANswer:
Option D
Answer:
Option 4, 64 cm^2
Step-by-step explanation:
The polygon in the shape of a star can be made to be easier to find the area of by cutting it into triangle. For all the "point edges" of the star, we can cut them in half from the vertex to create two right-angled triangles at each edge.
The formula of the area of a triangle is bh/2: the height is given as 6cm, the base is 4cm /2 (after you cut it in half) and so is 2 cm. Since the edges can be cut into two, there are 8 right angled triangles at the edges in total.
To find the area of them:
A=8(bh/2)=8(2*6/2)=48 cm^2
However, we are still missing the part at the centre we haven't found the area of, the square. The area of a square is given by the square of the side length(4cm). Thus, A=4*4=16cm^2
Adding the areas of all the edges and the square:
48 + 16 = 64cm^2
Hence, the area of the polygon is 64cm^2
I'll help you but I;m not just going to give you the answer
Answer:
Its Not C or B, tried em and got em wrong
Step-by-step explanation:
