what's lateral surface area of a pyramid?​

Answer:

4 2/3

Answer:

Maximum length and breadth of the box is 6.32 cm and the height of the box is 3.16 cm

Step-by-step explanation:

Surface area of box

[tex]4xy+x^2=120\\\Rightarrow y=\dfrac{120-x^2}{4x}[/tex]

Volume of box is

[tex]V=x^2y\\\Rightarrow V=x^2\times \dfrac{120-x^2}{4x}\\\Rightarrow V=\dfrac{120x-x^3}{4}\\\Rightarrow V=30x-\dfrac{1}{4}x^3[/tex]

Differentiating with respect to [tex]x[/tex]

[tex]\dfrac{dV}{dx}=30-\dfrac{3}{4}x^2[/tex]

Equating with zero

[tex]30-\dfrac{3}{4}x^2=0\\\Rightarrow x^2=\dfrac{30\times 4}{3}\\\Rightarrow x^2=40\\\Rightarrow x=6.32[/tex]

Double derivative of the volume

[tex]\dfrac{d^2V}{dx^2}=-\dfrac{6x}{4}=-\dfrac{6\times 6.32}{4}=-9.48<0[/tex]

So, the volume is maximum at [tex]x=6.32[/tex]

[tex]y=\dfrac{120-x^2}{4x}=\dfrac{120-40}{4\times \sqrt{40}}\\\Rightarrow y=3.16[/tex]

So, the maximum length and breadth of the box is 6.32 cm and the height of the box is 3.16 cm.

Answer:

450cm3 or 450 cube cm.

Step-by-step explanation:

Formula = Length x Width x Height

So,

5 x 7.5 x 12 = 450cm3

Answer:

35

Step-by-step explanation:

ask beetle juice

Answer: If you have four pencils and I have 7 apples, how many pancakes will fit on the roof?

Step-by-step explanation: Purple. because aliens don't wear hats.

9514 1404 393

Answer:

  360 cm³

Step-by-step explanation:

The volume is the product of the given dimensions:

  V = LWH

  V = (12 cm)(6 cm)(5 cm) = 360 cm³

Answer: Margin of error = 1932

Step-by-step explanation: Margin of Error is the amount of variation a survey's results have. In other words, it is understood as the measure of variation one can see if the same survey was taken multiple times.

Margin of error is calculated as [tex]z\frac{\sigma}{\sqrt{n}}[/tex]

z is z-score related to the percentage of confidence, in this z = 2.576

σ is population standard deviation

n is how many individuals are there in the sample or population

With a new level of confidence of 99%:

ME = [tex]2.576.\frac{4500}{\sqrt{36}}[/tex]

ME = 2.576(750)

ME = 1932

The new margin of error would be 1932.

Answer:

14 ft

Step-by-step explanation:

Let x represent the number of segments of the divided wood beam

Let y represent the total length of the wood beam.

Given that each segment measures 3.5, the equation to express this scenario is given as

y = 3.5x

Thus, to find the length of the wood beam, substitute x = 4 into the equation.

We would have:

y = 3.5(4)

y = 14

Length of the wood beam = 14 ft

Answer:

33-6n

Step-by-step explanation:

Answer:

Let say the four number x, y, a and b

(X+y+a+b) ÷4=9 equation 1(we divide by 4 is because It says average)

So let say x=7 and so let insert this equation

(7+y+a+b)÷4=9

7+y+a+b=9×4

7+y+a+b=36(then shift 7)

Y+a+b=36-7

Y+a+b=29

So the sum of 3 number is 29

The sum of the other numbers is 29

Since the average of 4 numbers is 9. Then the total value of the numbers will be:

= 4 × 9

= 36

Since one of the numbers is given as 7, then the value of the remaining numbers will be:

= 36 - 7

= 29

In conclusion, the sum of the remaining numbers is 29. Therefore, the correct option is C.

Read related link on:

https://brainly.com/question/10930932

Answer:

The coefficient in the first term is 4

The constant is 6

There are 4 terms in this expression

The variable in the third term is y

Step-by-step explanation:

The constant is 6 because it is the only term without a variable, therefore the one term that will stay the same/remain constant.

The first term is 4x^2, the second term is -5x, the third term is 3y, and the fourth term is 6.

The variable in the first term is x^2, therefore the coefficient of x^2 is 4.

9514 1404 393

Answer:

  see below

Step-by-step explanation:

Adding 3 to x shifts the function's graph 3 units to the left. That makes the graph look like the one attached.

Answer:

94/18

Step-by-step explanation:

Answer:

quotient: 9y

sum: 4³+8

variable is y

Answer:

З x,y : ( x/y < 1, y/x < 1 )

Step-by-step explanation:

This is a bit somehow, I really do hope it doesn't confuse you. Here's your solution.

The domain in this question is one with a set of all real numbers. These real numbers needs the logical expressions of the English statements to be expressed with respect to real number. And so we're having

A) З x,y : ( x/y < 1, y/x < 1 )

B) ∀ Y : ( Y > 0 = 1/Y > 0 )

C) з x,y : ( x+y = xy )

D) ∀ x,y : [ ( x>0 ) ∧( y > 0 ) = (( x/y > 0 ) ∧ ( y/x > 0 ))

E ) ∀ y : [ ( y > 0 ) ∧ ( y < 1) = ( 1 / y > 1 )

F) n ( ( з x ∀ y ( x <y ) )

G) ∀x (( x ≠ 0 ) = ( зy ( xy = 1 ) ))

H) ∀x ( (x≠0) = ( з! y (xy = 1))

Answer:

y=4x+3

Step-by-step explanation:

y=mx+c where m is the slope and c is the intercept.

To find m, get two points and plug them into the formula (y2-y1)/(x2-x1):

(0,3) and (2,11)

m=(11-3)/(2-0)

=8/2

=4

y=4x+c

To find c, plug in one of the points, eg. (3,15)

15=4(3)+c

15=12+c

c=3

y=4x+3

Answer: 48yx^1+2y^3

Step-by-step explanation:

Answer:

78

Step-by-step explanation:

Hope this helped. Pls mark brainliest

Answer:

78

Step-by-step explanation:

3(9+13+4)

9+13+4 = 26

3(26) = 78

Answer:205

Step-by-step explanation:This is an hexogon so you would do

720-118-112-131-154

Answer and explanation:

The hedging strategy is one where an individual is able to hold two opposing positions such that he is able to protect either position from profit or loss as each move in opposite directions. For example in this situation, if Sue wants to hedge her bets here, she would need to place a bet that there will be a quiz and also place a bet that there will be no quiz. In this way she uses up to $40, $20 for no quiz and $20 for a quiz. If for instance it goes in Torik's favour and there is no quiz, Sue loses $20 but also gets that $20 back. If it goes in Sue's favour, then she makes $60

Answer:

27000

Step-by-step explanation:

Answer:

its 27,000

Step-by-step explanation:

hope it helps ;)

Answer:

3.775

Step-by-step explanation:

Answer:

3.775 OR 151/40 OR 3 31/40

Step-By-Step Explanation:

Subtract 8 2/5 by 4 5/8

Answer:

OBTUSE

Step-by-step explanation:

You would first have to figure this put via Pythagorean theroem. Basically do this (attachment)***C IS THE LARGEST NUMBER*** and know that c^2 < a^2 + b^2 (less than) = ACUTE, c^2 > a^2 + b^2 (greater than) = OBTUSE, and c^2 = a^2 + b^2 is RIGHT. If it is Right with all different numbers, it is SCALENE.

Answer:

Please check the explanation.

Step-by-step explanation:

We know that a function is a relation where each input or x-value of the X set has a unique y-value or output of the Y set.

In other words, we can not have duplicated inputs as there should be only 1 output for each input.

In our case, we need to determine the value of x so that we can have repeated or duplicated inputs or x-values because duplicated inputs mean the relation would not be a relation.

Given

{(0, 1), (x, 0), (3, 5), (2, 6)}

Now, if we put x = 3, the relation would become:

{(0, 1), (3, 0), (3, 5), (2, 6)}

Here, x = 3 is repeated twice, and we can not have duplicated inputs as there should be only 1 output for each input.

Therefore,

For the value of x = 3, the relation would not be a function.

Note: The same can be said about the values of x = 0, or x = 2 because then the the dupilcated values be x = 0 or x = 2 respectively.

Answer:

a)   [tex]S=50[/tex]

    [tex]P(X)=0.02[/tex]

b)  [tex]P(W,M,C)=8*10^-^6[/tex]

c)  [tex]P(W_2_3)=1.18*10^-^3[/tex]

Step-by-step explanation:

From the question we are told that

Sample space S=50

Sample size n=30

a)Generally the sample space S is

[tex]S=50[/tex]

The probability measure is given as

[tex]P(X)=\frac{1}{50}[/tex]

[tex]P(X)=0.02[/tex]

b)

Generally the probability that  the class hangs Wisconsin’s flag on Monday, Michigan’s flag on Tuesday, and California’s flag on Wednesday is mathematically given as

Probability of each one being hanged is

[tex]P(X)=\frac{1}{50}[/tex]

Therefore

[tex]P(W,M,C)=\frac{1}{50} *\frac{1}{50}* \frac{1}{50}[/tex]

[tex]P(W,M,C)=\frac{1}{125000}[/tex]

[tex]P(W,M,C)=8*10^-^6[/tex]

c)Generally the probability that Wisconsin’s flag will be hung at least two of the three days is mathematically given as

Probability of two days hung +Probability of three days hung

Therefore

[tex]P(W_2_3)=^3C_2 (1/50) * (1/50) * (49/50) +^3C_3 (1/50) * (1/50) *(1/50)[/tex]

[tex]P(W_2_3)=148 / 125000[/tex]

[tex]P(W_2_3)=1.18*10^-^3[/tex]

Answer: They charge the same amount.

Step-by-step explanation: