Answer:
The area of the wall that she will paint in two rolls is <u>219.8 inches²</u>.
Step-by-step explanation:
Given:
Jenny uses a roller to paint a wall. The roller has a radius of 1.75 inches and a height of 10 inches.
Now, to find the area of the wall that she will paint in two rolls.
So, we find the lateral surface area of roller.
Radius (r) = 1.75 inches.
Height (h) = 10 inches.
So, to get the lateral surface area we put formula:



Thus, the lateral surface area of the roller = 109.9 inches².
Now, to get the area of wall that she will paint in two rolls we multiply 2 by the lateral surface area of the roller:

Therefore, the area of the wall that she will paint in two rolls is 219.8 inches².
The y-value of the vertex is positive 3, as shown by the +3 on the right hand side of the equation, and the x-value is -1, from the (x+1)^2 (remember, when the number is inside the brackets, flip the sign) The vertex would be (-1, 3)
If you are looking for a rigorous answer (calculus), we must find the mininum point of the equation: f(x) = (x+1)^2 + 3 f
f'(x) = 2(x+1) = 2x + 2
2x + 2 = 0
x = -1
f(1) = (-1 + 1)^2 + 3
f(1) = 0 + 3 = 3
(-1, 3)
Answer:
1
pages
Step-by-step explanation:
Since the concert promoter started with 2
pages of ads but had to cancel 1
, subtracting the cancelled amount from the original amount will give the amount of advertising space the promoter is now actually using:
2
= 2 
- <u>1
</u> - <u>1
</u>
1
pages
In order to subtract fractions, you need to have like denominators, so you need to convert
into an equivalent fraction with a denominator of '8'. Since 4 x 2 = 8, then you also need to multiply the numerator by the same factor: 3 x 2 = 6.
4. First find how much sauce is used for 1 person:
2 ÷ 7 = 0.285714285714286
0.285714285714286cups of sauce will make spaghetti for one person.
0.285714285714286 • 210 = 60
60 cups of sauce for 210 people.
5. Found out how much he read in one minute:
40 ÷ 50 = 0.8
0.8 • 80 = 64
In 80 minutes, she will read 64 pages.
6. Found out how much he earns after one month:
9 ÷ 6 = 1.5
1.5 • 12 = 18
18 • 2 = 36
After two years, he will have 36 days of vacationing time
Answer:
The exact volume of the cone is 
Step-by-step explanation:
we know that
The volume of the cone is equal to

we have


substitute the values
