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MaRussiya [10]
3 years ago
11

Find the midpoint of the line segment.

Mathematics
1 answer:
Alik [6]3 years ago
8 0

Answer:

(1, 3)

Step-by-step explanation:

The first endpoint (the one on the left) is (-3, 2). The second endpoint (the one on the right) is (5, 4). To find the midpoint, find the middle of both x and y. To do that, add the values of x and y respectively and divide by 2:

for x-value of midpoint:

(x-value of first endpoint + x-value of second endpoint) / 2

= (-3 + 5) / 2

= 2 / 2

= 1

for y-value of midpoint

(y-value of first endpoint + y-value of second endpoint) / 2

= (2 + 4) / 2

= 6 / 2

= 3

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Volume and surface area are often compared by manufacturers in order to maximize how much of something can go inside of a packag
notka56 [123]
We have no dimensions to work with. I'll pick some and try and comply with the conditions of the problem. 

Suppose you have an object that is 14 by 22 by 27 cm. These three numbers have no common factor so they cannot be reduced any further, which is helpful for this problem.

Find the Volume
Volume

l = 27 cm
w = 14 cm
h = 22 cm

V = 27 *14 * 22
V = 8316 cm^3

Find the surface area
SA = 2*l*w + 2*l*h  + 2*w*h
SA = 2*27*14  +  2*27*22   +  2*14*22
SA = 756 + 1188 + 616
SA = 2558

Just looking at these numbers The surface area is about 1/3 of the volume. I don't think this is always true.


 \frac{SA}{V} =  \frac{2*L*W  + 2*L*H + 2*W*H}{L*W*H} 

Another way to do this is to consider a cube which might give you a more useful result. 

s = L = W = H all three dimensions are equal in a cube.
The volume of a cube is s*s*s = s^3
The surface area of a cube is 2*s*s + 2*s*s + 2s*s = 6s^2

\frac{SA_cube}{V_cube} =  \frac{6s*s}{s*s*s}
\frac{SA}{V} =  \frac{6}{s}

That means whatever the side length, the Surface Area to volume = 6/the side length which is kind of an interesting result.


4 0
3 years ago
What is the answer to all of these?
4vir4ik [10]
810000\\
0.000621\\
3040000000\\
0.0000043\\
0.00172\\
58100000\\
0.0965\\
6083
3 0
3 years ago
Find the length of side x in simplest radical form with a rational denominator.
Sauron [17]

Answer:

\frac{11\sqrt{2}}{2}} or 5.5√2

Step-by-step explanation:

We can see that this is a 45-45-90 triangle

refer to the image below to see what that means

we can see that (in the image) 11=x√2

which means that x= 11/√2

to rationalize this fraction we mulitply both sides by √2 to get

\frac{11\sqrt{2}}{2}} or 5.5√2

3 0
3 years ago
Read 2 more answers
At the local bakery, Ariel bought 2 oatmeal cookies for $1.50. Mei bought 1/2 dozen oatmeal cookies for $4.50. Becky bought 8 oa
elena55 [62]

Answer: Yes. The cookies are $ .75 each. The total cost is proportional to the number of cookies purchased.

T = $.75 × c

Step-by-step explanation:

4 0
2 years ago
27% of what number is 162?
Leno4ka [110]
Take it like this
27% of x = 162
27/100 * x = 162
x = 162*100/27
x=600

Therefore, 27% of 600 is 162
5 0
3 years ago
Read 2 more answers
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