This is the concept of areas of solid materials; the surface area of the cylinder whose radius is 2.5 cm and lateral area is 20 pi cm^2 will be: Surface area of cylinder is given by:
SA=(area of cyclic sides)+(lateral area)
SA=2πr^2+πrl
Area of the cyclic sides will be:
Area=2πr^2
=2*π*2.5^2
=12.5π cm^2
The lateral area is given by:
Area=20π cm^2
Therefore the surface area of cylinder will be:
SA=(12.5π+20π) cm^2
SA=32.5π cm^2
The answer is 32.5π cm^2
The answer is the second one. 5.2 repeating.
If Ike does not want more than 20 pounds in his backpack, this means he wants less than or equal to 20 pounds in his backpack. Because each paper costs 1/3 pound, this can be used as the rate of change and we can set up the following inequality:
1/3x < 20
To solve this inequality, we should divide both sides of the equation by 1/3.
x < 60
Because this inequality means that x is less than or equal to 60, the answer is that Ike can carry 60 papers in his backpack.
Hope this helps!
Week 1-2 so it would be week one
Answer: 2(3x + 2y) and 6x + 4y
Step-by-step explanation:
Hi, to answer this question we have to solve the expression.
2(2x + 4y + x − 2y)
First we have to simplify the expression within the brackets.
2 (2x + x +4y -2y)
We have the first equivalent expression. Now to obtain the second expression we apply distributive property:
2 (3x) + 2 ( 2y)
In conclusion 2(3x + 2y) and 6x + 4y are equivalent expressions to 2(2x + 4y + x − 2y).
Feel free to ask for more if it´s necessary or if you did not understand something.
