Answer:
The area of a label is 
Step-by-step explanation:
we know that
The lateral area of a cylinder (label of the can) is equal to

we have that
A can is 4 inches wide
so
The diameter of the can is 4 inches
----> the radius is half the diameter
----> height of the label
substitute in the formula

Part 1) we have that
volume smaller solid=512 cm³
volume larger solid=2197 cm³
we know that
volume larger solid=[scale factor]³*volume smaller solid
scale factor=∛[volume larger solid/volume smaller solid]
scale factor=∛[2197/512]-----> scale factor=1.625
Part 2)
the ratio of the surface areas is equal to [scale factor]²
1.625²-------> 2.64
Part 3)
surface area smaller solid=960 cm²
then
surface area larger solid=scale factor²*surface area smaller solid
surface area larger solid=[1.625]²*960-----> 2535 cm²
surface area larger solid is 2535 cm²
Answer:
137
Step-by-step explanation:
because you have to add the nubers
Answer:
One Triangle = 2.09 in²
Two Triangles = 4.18 in²
Rectangle = 17.48 in²
Total area of whole trapezoid = 21.66 in²
Step-by-step explanation:
Since it was not clarified which region is shaded we will just find the area of each individual part of the shape.
Let's start with the triangles.
1. To find the area of a triangle, the formula is
. It is given that the base of one triangle is equal to 1.1 in and the height is equal to 3.8 in., so in the equation, it would look like:
in²
2. So now that we know one triangle is equal to 2.09 in², we now know that the other triangle is equal to the same area. To find the total of the two triangles you need to multiply the area by 2:
in²
Moving on to the rectangle...
1. To find the area of the rectangle we need to use the formula base times height or b x h. It is given that the height is 3.8 in while the length is 4.6 in. So in the equation it would look like:
in²
Now to find the total area of all shapes combined...
1. To do this, we just need to add up all the areas we found, so...
17.48 + 4.18 = 21.66 in²
9514 1404 393
Answer:
4·10 +4·5 = 6·12 -6·2
Step-by-step explanation:
Each outside factor multiplies each inside term.
4(10 +5) = 6(12 -2)
4·10 +4·5 = 6·12 -6·2