Answer:
To make the cup 64.57 square inches of plastic were used.
Step-by-step explanation:
A cup has the format of a cylinder with a open top. The surface area of the cup is given by the area of it's base (a circle) and the area of it's walls, wich can be seen as rectangle where the width is the length of the circle at the base and the height is the height of the cylinder. So we have:
area of the base = pi*r^2 = 3.14*(1.75)^2 = 3.14*3.0625 = 9.616 square inches
area of the walls = 2*pi*r*h = 2*3.14*(1.75)*5 = 54.95 square inches
surface area of the cup = area of the base + area of the walls = 9.616 + 54.95
surface area of the cup = 64.57 square inches
To make the cup 64.57 square inches of plastic were used.
Answer: 6x squared minus 17x minus 14
Given:
The function is:
To find:
The steps of finding the inverse function 
.
Solution:
We have,
The steps of finding the inverse function are:
Step 1: Substitute 
.
Step 2: Interchange x and y.
Step 3: Taking square on both sides, we get
Step 4: Adding 21 on both sides, we get
Step 5: Divide both sides by 7.
Step 6: Substitute 
.
, where 
.
Therefore, the inverse of the given function is 
and the arrangement of steps is shown above.
Answer:
Step-by-step explanation:
The given statement is "I think of a number, add seven then divide by five".
Let the unknown number be x.
Now, add 7 to the number = x+7
If we divided them by 5, .
So, the required algebraic notation is .
Answer:
4(x - 1) = 6(x + 3)
x = -11
Step-by-step explanation:
x represents “the number” so we would substitute this with a variable.
(I hope this helps! Have a great day AND STAN BTS)
