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Firdavs [7]
2 years ago
12

a box with a square base and a top is to be constructed from 10 square meters of material. find the dimensions which will maximi

ze the volume that the box can hold.
Mathematics
1 answer:
Butoxors [25]2 years ago
4 0

A box with a square base and a top is to be constructed from 10 square meters of material. 40 square meters will maximize the volume that the box can hold.

<h3>What is volume?</h3>

LSD use among secondary school understudies is a specific concern. More Volume is a proportion of consumed three-layered space. It is frequently evaluated mathematically utilizing SI inferred units or by different supreme units. Volume is characterized as the space involved inside the limits of an article in three-layered space. It is otherwise called the limit of article. Volume is a proportion of consumed three-layered space. It is frequently measured mathematically utilizing the SI determined unit, the cubic meter. The volume of a compartment is by and large comprehended to be the limit of the compartment, how much liquid (gas or fluid) that the holder could hold, instead of how much space the actual holder dislodges. Three layered numerical shapes are additionally relegated volumes.

Learn more about volume, refer:

brainly.com/question/28027357

#SPJ4

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Paul polled his classmates about their favorite color. He drew this circle graph to show his data.
ss7ja [257]

Answer:

he most popular color is .

blue

The least popular color is .

purple

There are 30 students in Paul’s class.

That means that  students voted for green. 3

Step-by-step explanation:

its right ,i did it.

4 0
3 years ago
write and equation of the line parallel to the line  2 x + 4 y = 20 2 x + 4 y = 20 and containing the point  ( −
MAXImum [283]

Answer:

Step-by-step explanation:

The equation of a straight line can be represented in the slope intercept form as

y = mx + c

Where

m represents the slope of the line

c represents the y intercept

The equation of the given line is

2x + 4y = 20

4y = - 2x + 20

Dividing through by 4, it becomes

y = - x/2 + 5

Comparing with the slope intercept form, slope = - 1/2

If two lines are parallel, it means that they have the same slope. Therefore, the slope of the line passing through (- 6, 3) is - 1/2

To determine the y intercept, we would substitute m = - 1/2, x = - 6 and y = 3 into y = mx + c. It becomes

3 = - 1/2 × - 6 + c

3 = 3 + c

c = 3 - 3 = 0

The equation becomes

y = - x/2

4 0
3 years ago
8. Is the following statement true or false? Justify your conclusion. If a and b are nonnegative real numbers and a + b =0, then
atroni [7]

Answer:

If a + b = 0 then a = 0 and b =0

a  | b | a + b (answer)

0 | 0 | 0

0 | 1  | 1

0 | 2 | 2

1  | 0 | 1

2 | 0 | 2

1  | 1  | 2

2 | 1  | 3

 

Step-by-step explanation:

Considering the following conditions for the real numbers:

a\geq 0\\b\geq 0

Following the rules of these in-equations, it is possible to deduce:

a + b \geq 0

Then, if the proposed statement is:

a + b = 0

The conditions above shall comply the requirements established, but first, analyzing the statement:

If a \geq 0 and b \geq 0 then a + b \geq a, a + b \geq b and a + b \geq 0.

If a = 0 and b a non negative real number, then a + b \geq b, but because to a = 0, then a + b = b. Due to the commutative property of sums, the same behavior will be presented if b = 0 and a a non negative real number.

According to that, if  a + b = 0, then a = 0 and b = 0.

7 0
3 years ago
If y=32, then 86y+25−78y =
FrozenT [24]

Answer:

281

Step-by-step explanation:

plug y value into expression

86(32) + 25 - 78(32)

pemdas says we must multiply first

2752 + 25 - 2496

2777 - 2496

281

4 0
3 years ago
PLEASE HELP ME!! I can’t figure this out
DochEvi [55]
Hello!

The problem has asked that we write a point-slope equation of the line in the image above. Point-Slope Form uses the following formula:

y – y_{1} = m(x – x_{1})

In this case, M represents the slope while X_{1} and Y_{1} represent the corresponding X and Y values of any given point on the line.

We are given that the slope of the line is -\frac{5}{7}. We also know that any given point on a graph takes the form (x,y). Based on the single point provided in the image above, we can determine that X_{1} is equal to 6 and Y_{1} is equal to 2. Now insert all known values into the point-slope formula above:

y – 2 = -\frac{5}{7}(x – 6)

We have now successfully created an equation based on the information given in the problem above. Looking at the four possible options, we can now come to the conclusion that the answer is C.

I hope this helps!

7 0
3 years ago
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