Find the scale between sides xz and gh
18/4 = 4.5
Multiply the length of fh by the scale to find x
6 x 4.5 = 27
x = 27
Well you need to do V= pi(r)h squared so Diameter of 12 divided by 2 will get you r so 6
3.14×6squared is equal to 3.15×36 which is 113.04 then times height of 4 gives you 452.4 so C)
Step-by-step explanation:
Perimeter: P=62 feet
P=2(b+h)
62=2(b+h)
Dividing both sides of the equation by 2:
62/2=2(b+h)/2
31=b+h
b+h=31 (1)
Area: A=bh (2)
Isolating h in equation (1)
(1) b+h=31→b+h-b=31-b→h=31-b (3)
Replacing h by 31-b in equation (2)
(2) A=bh
A=b(31-b)
A=31b-b^2
To maximize the area:
A'=0
A'=(A)'=(31b-b^2)'=(31b)'-(b^2)'=31-2b^(2-1)→A'=31-2b
A'=0→31-2b=0
Solving for b:
31-2b+2b=0+2b
31=2b
Dividing both sides by 2:
31/2=2b/2
31/2=b
b=31/2=15.5
Replacing b by 31/2 in equation (3)
h=31-b
h=31-31/2
h=(2*31-31)/2
h=(62-31)/2
h=31/2
The dimensions are 31/2 ft x 31/2 ft = 15.5 ft x 15.5 ft
The area with these dimensions is: A=(15.5 ft)(15.5 ft)→A=240.25 ft^2
These dimensions are not in the options
1) The first option has an area of: A=(18 ft)(13 ft)→A=234 ft^2
2) The second option has an area of: A=(19 ft)(12 ft)→A=228 ft^2
3) The third option has an area of: A=(17 ft)(14 ft)→A=238 ft^2
The third option has the largest area.
Answer: Third option
Answer:
<h3>
4.71 glasses </h3>
<u>Steps:</u>
Let say you can fill N no of 0.35 L glasses with 1.65 L.
<em><u>Then</u></em><em><u>,</u></em>
N times 0.35 =1.65
N × 0.35=1.65
N=1.65/0.35
N=4.71
It means you can fill 4 glasses completely and 71% of the 5th glass.
