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snow_tiger [21]
3 years ago
8

2 Points

Mathematics
1 answer:
Keith_Richards [23]3 years ago
6 0

Answer:

lab technician

Step-by-step explanation:

science field

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Find the dimensions of the rectangular box with largest volume if the total surface area is given as 64cm^2
motikmotik
Let x =lenght, y = width, and z =height 
<span>The volume of the box is equal to V = xyz </span>
<span>Subject to the surface area </span>
<span>S = 2xy + 2xz + 2yz = 64 </span>
<span>= 2(xy + xz + yz) </span>
<span>= 2[xy + x(64/xy) + y(64/xy)] </span>
<span>S(x,y)= 2(xy + 64/y + 64/x) </span>
<span>Then </span>
<span>Mx(x, y) = y = 64/x^2 </span>
<span>My(x, y) = x = 64/y^2 </span>
<span>y^2 = 64/x </span>
<span>(64/x^2)^2 = 64 </span>
<span>4096/x^4 = 64/x </span>
<span>x^3 = 4096/64 </span>
<span>x^3 = 64 </span>
<span>x = 4 </span>
<span>y = 64/x^2 </span>
<span>y = 4 </span>
<span>z= 64/yx </span>
<span>z= 64/16 </span>
<span>z = 4 </span>

<span>Therefor the dimensions are cube 4.</span>
6 0
4 years ago
Triangle weigh 6, how much does square weigh, this is a balanced hanger
Naya [18.7K]

Answer:

9

Step-by-step explanation:

set triangles as x and squares as y

x+3y=4x+y, now plug in 6 for each triangle

6+3y=4(6)+y, solve for the weight of the squares

3y-y=24-6

2y=18

y=9, each sqaure weighs 9 units

3 0
3 years ago
What is the name of the algebraic expression​
denis23 [38]

Answer:

There are 3 main types of algebraic expressions which include: Monomial Expression. Binomial Expression. Polynomial Expression.

6 0
2 years ago
Jill has a swimming pool in her backyard. It is shaped like a rectangle and measures approximately 16.3 feet wide and 26.2 feet
balu736 [363]

Answer:

The dimensions of swimming pool are:

Length = 26.2 feet

Width = 16.3 feet

Height = 5 feet

During a few hot weeks during the summer, some water evaporates from the pool, and Jill needs to add 8 inches of water to the depth of the pool.

We will convert 8 inches o feet.

1 inch = 1/12 feet

So, 8 inch = 8/12=0.66 feet

Now we have to tell how much water will be there in 0.66 feet depth.

So, volume = 16.3\times26.2\times0.66=281.86 cubic feet.

1 cubic feet has 7.480 gallons

So, 281.86 cubic feet will have 281.86\times7.480=2108.31 gallons of water.

7 0
4 years ago
What is the arithmetic mean of the following numbers? 3, 5, 6, 7, 9, 6, 83,5,6,7,9,6,8
liubo4ka [24]

Answer:

oh wow that's giving me a headache, I dont understand

7 0
3 years ago
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