how to calculate perimeter

Answers

Answer 1

Answer:

To calculate perimeter add all the sides of the particular shape.

Answer 2

I hope this helps!

Square perimeter formula: P = 4a

Rectangle perimeter formula: P = 2(a + b)

Triangle perimeter formulas:

P = a + b + c or

P = a + b + √(a² + b² - 2ab * cos(γ)) or

P = a + (a / sin(β + γ)) * (sin(β) + sin(γ))

Circle perimeter formula: P = 2πr

Circle sector perimeter formula: P = r(α + 2) (α is in radians)

Ellipse perimeter formula: P = π(3(a + b) - √((3a + b) * (a + 3b)))

Quadrilateral / Trapezoid perimeter formula: P = a + b + c + d

Parallelogram perimeter formulas:

P = 2(a + b) or

P = 2a² + √(2e² + 2f² - 4a²) or

P = 2(b + h/sin(α))

Rhombus perimeter formulas:

P = 4a or

P = 2√(e² + f²)

Kite perimeter formula: P = 2(a + b)

Annulus perimeter formula: P = 2π(R + r)

Regular polygon area formula: P = n * a


Related Questions

Charlie deposits $600 into an account that pays simple interest at a rate of 2% per year. How much interest will he be paid in the first 3 years?

Answers

Answer:

Step-by-step explanation:

rounded to the nearest cent his answer would be $212.24

The probability of event X is 30%. The probability of event Y is 40%. If events X and Y are mutually exclusive, what is the probability of event X or Y

Answers

The probability of event X or Y is P = 0.7, or, in percentage form, the probability is 70%.

How the get the probability of event X or Y?

First, two events are mutually exclusive if these events can't happen at the same time.

This means that if happens X, with a 30% of probability, then Y can't happen.

If happens Y, with a 40% of probability, then X can't happen.

Then the probability of X or Y (the probability that one of these two events happens, not both) is just the addition of the two individual probabilities.

Then we have:

P(X or Y) = 0.3 + 0.4 = 0.7

Or, in percent form, we get:

P(X or Y) = 70%

The probability of event X or Y is just 70%.

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N=
Help me please thanks :))

Answers

The measure of n of the sector with the given area is: 100°

What is the Area of a Sector?

The area of a sector of a circle = ∅/360 × πr².

We are given that:

Area of the sector = 40π

Radius (r) = 12 units

∅ = n°

Plug in the values and solve for n

40π = n/360 × π(12²)

40π = n/360 × π144

Divide both sides by 144π

40π/144π = n/360 × 144π/144π

40/144 = n/360

40(360) = n(144)

14,400/144 = n

n = 100°

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a nickel has 5 grams what is the mass of a nickel in milligrams

Answers

The mass of the same nickel which is 5 grams in milligrams is 5,000 milligram.

Weight

1 gram = 1000 milligram

Weight of a nickel = 5 gram

Weight of same nickel in milligram = 5 grams × 1000

= 5,000 milligram

Therefore, the mass of the same nickel is 5,000 milligram

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Simplify

32x^8 ÷ 8x^32

Answers

Hello,

[tex] \frac{32 {x}^{8} }{8x {}^{32} } = \frac{4 \times 8 \times x {}^{8} }{8x {}^{32} } = \frac{4x {}^{8} }{x {}^{32} } = 4x { }^{8 - 32} = 4x {}^{ - 24} [/tex]

Answer:

[tex] \red{4 {x}^{ - 24} }[/tex]

Step-by-step explanation:

We know that,

[tex] {a}^{m} \times {a}^{m} = {a}^{m + n} \\ \\ \frac{ {a}^{m} }{ {a}^{n} } = {a}^{m - n} \: \: \: \: \: \: \: \: \: \: \: \\ \\ ({a}^{m})^{n} = {a}^{mn} \: \: \: \: \: \: \: \: \: \: [/tex]

Now using the above knowledge let us solve the sum.

[tex] \frac{32 {x}^{8} }{8 {x}^{32} } \\ ( \frac{32}{8} ) \times ( \frac{ {x}^{8} }{ {x}^{32} } ) \\ 4 \times {x}^{8 - 32} \\ 4 \times {x}^{ - 24} \\ = 4 {x}^{ - 24} [/tex]

5[tex]5x-3y=34\\x-2y=4[/tex]

Answers

the correct answer is 4 as it is equaled when added

Can someone help me

Answers

Answer:

1. y = 0

2. f(x) has a horizontal asymptote at y=3/2

I hope this helps and that you can give a brainliest!

Step-by-step explanation:

There is a horizontal asymptote at y = 0 because the degree of the x value in the denominator is greater than the degree of the numerator (since it doesn't exist in the numerator, it counts as 0).

The second question does not have a slant asymptote.

The degree of both numerator and denominator are equal, so the horizontal asymptote is the quotient of the leading coefficients. So, it's 3 divided by 2.

Graph the quadratic function by transforming the graph of f(x) = x^2. Give the minimum or maximum
vertex value and the equation for the axis of symmetry.

Answers

Answer: the maximum is (-2,5 )and the equation for the axis of symmetry is  x = -2

Explanation if you want:

for the min and max:  when a quadratic has a maximum point, that is the largest point that it will ever be at.  When it has a minimum, that is the smallest.

the +5 tells us that we have an upward movement of 5. The +2 means we actually move to the point -2.  bc: (x+2)=0 = -2so, from our initial function, those are the changes.

for the axis of symmetry: basically, this is the line that splits the graph into two equal parts.

it is the line that goes through the vertex (which we already know is (-2,5).

there u go

What is the solution to 9|x + 8| > 45?

Answers

The solution to the inequality is x > -3 or x < -13

How to solve the inequality?

The inequality is given as:

9|x + 8| > 45

Divide through  by 5

|x + 8| > 5

Split the inequality

x + 8 > 5 or x + 8 < -5

Solve for x

x > -3 or x < -13

Hence, the solution to the inequality is x > -3 or x < -13

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Find the interest on 16,100 for 4 years and 6months at 10% compounded quarterly.

Answers

25,110.51 is the total amount accrued over the course of 4.5 years, principle plus interest, on a principal of 16,100.00.

Compound interest calculation

We may employ the compound interest future value formula provided by:

[tex]A=P(1+r/n)^{nt}[/tex]

Where A is the final amount, P stands for the current value,

r=interest rate, n represents how many times interest is compounded annually, and t represents the number of years.

In this case,

P= 16100

r = 10%

t = 4 years and 6 months=4.5 years

n=4

So, A=[tex]16100(1+0.1/4)^{4*4.5}[/tex]

A= [tex]16100(1+0.025)^{18}[/tex]

A= 25110.51

So, 25,110.51 is the total amount accrued over the course of 4.5 years, principle plus interest, on a principal of 16,100.00 at a rate of 10 percent per year compounded four times each year.

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Find the common ratio for the geometric sequence defined by the formula: an=40(2‾√)n−1 a n = 40 ( 2 ) n − 1

Answers

The ratio of the geometric sequence 40[tex]2^{n-1}[/tex] is 2.

Given that geometric sequence is 40*[tex]2^{n-1}[/tex] and we have to find the common ratio of all the terms.

Geometric sequence is a sequence in which all the terms have a common ratio.

Nth termof a GP is a[tex]r^{n-1}[/tex] in which a is first term and r is common ratio.

Geometric sequence=40*[tex]2^{n-1}[/tex]

We have to first find the first term, second term and third term of a geometric progression.

First term=40*[tex]2^{1-1}[/tex]

=40*[tex]2^{0}[/tex]

=40*1

=40

Second term=40*[tex]2^{2-1}[/tex]

=40*[tex]2^{1}[/tex]

=40*2

=80

Third term=40*[tex]2^{3-1}[/tex]

=40*[tex]2^{2}[/tex]

=40*4

=160

Ratio of first two terms=80/40=2

Ratio of next two terms=160/80=2

Hence the common ratio of geometric sequence is 2.

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Given the sequence 4, 8, 16, 32, 64, ..., find the explicit formula.

Answers

Answer:

[tex]\sf 2^{(n+1)}[/tex]

Step-by-step explanation:

Explicit formula is used to represent all the terms of the geometric sequence using a single formula.

  [tex]\sf \boxed{\bf t_n=ar^{(n-1)}}[/tex]

Here, a is the first term.

r is the common ratio.

r = second term ÷ first term

4, 8,16,32,64,.....

    a = 4

    r = 8 ÷4 = 2

[tex]\sf t_n =4*2^{(n-1)}[/tex]

    [tex]\sf = 4*2^n * 2^{(-1)}\\\\ = 4*2^n*\dfrac{1}{2}\\\\ = 2*2^n[/tex]

   [tex]\sf = 2^{(n+1)}[/tex]

There are 24 students in a class. if 16 are boys, what fraction of the students are boys?

Answers

Answer:

2/3 is the fraction of students who are boys.

Step-by-step explanation:

First of all, a fraction consists of two parts: The denominator and the numerator. The denominator is the whole, while the number is a part of the whole (and sometimes above).

1. Since in your question, there are 24 students in total in the class, the denominator will be 24.

2. You said that 16 of them are boys, so 16 is the numerator.

3. In a fraction, it will be 16/24.

4. 16/24 can be simplified into 2/3 since both 16 and 24 can be divided by 8.

So our final answer is 2/3.

The average age of the members of a country club is 54 years old. If there are ten 36-year-olds, fifty 60-year-olds, and twenty other members all of the same age, what is the age of the twenty other members

Answers

The age of twenty other members is 48 years.

Given that the average age of the members of a country club is 54 years old and if there are ten 36-year-olds, fifty 60-year-olds, and twenty other members all of the same age.

The average is defined as the sum of a set of values divided by n, where n is the total set of values. A mean is another name for an average.

The average age is given by=(Sum of ages)/(Number of members (n))

Let x be the age of other twenty members.

Given A=54  years and n=10+50+20=80

So, now, we will substitute the values in the formula, we get

[tex]\begin{aligned}54&=\frac{10\times 36+50\times 60+20\times x}{10+50+20}\\ 54&=\frac{360+3000+20x}{80}\\ 4320&=3360+20x\end[/tex]

Further, subtract 3360 from both sides, we get

4320-3360=3360+20x-3360

960=20x

Furthermore, we will divide both sides with 20, we get

960/20=20x/20

48=x

Hence, the age of the twenty other members when average age of the members of a country club is 54 years old is 48 years.

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Match the vocabulary word with the correct definition.

1. a line segment where two faces meet
edge
2. a three-dimensional figure with one circular base
dimensions
3. to separate something into its basic parts
area
4. units used to measure the volume of a three-dimensional figure
cube
5. a three-dimensional figure with two parallel, congruent, circular bases and a curved surface
decompose
6. a three-dimensional figure made of six congruent squares
composite figure
7. a geometric figure that is made up of two or more basic shapes
base
8. the length of a plane figure; or, a special face of a solid figures
cone
9. the measurement of the space inside a plane figure
cylinder
10. measurements indicating the size and shape of an object, such as length and width
cubic units

Answers

Answer:

1. edge

2. cone

3. decompose

4. cubic units

5. cylinder

6. cube

7. composite figure

8. base

9. area

10. dimensions

can someone please help mee

Answers

Answer:

I think that this answer is 22

1 x/3 - 3/4 = 5/12
solve for x!

Answers

The value of x is 7/2

How to solve for x?

The equation is given as:

x/3 - 3/4 = 5/12

Multiply through by 12

4x - 9 = 5

Add 9 to both sides

4x = 14

Divide by 4

x = 7/2

Hence, the value of x is 7/2

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Someone help me solve these two problems having trouble solving them

Answers

The first equation is 5x² - 20x + 27 and the second equation will be y = 3x² + 6x + 15.

How to compute the equation?

It should be noted that an equation simply means a formula that's used to express the equality of two expressions that are given in Mathematics.

It should be noted that before solving the equations, it's important to expand the functions that are squared and then solve accordingly. This will be illustrated below.

The first equation that's given is:

y = 5(x - 2)² + 7

= 5(x - 2)(x - 2) + 7

= 5(x² - 2x - 2x + 4) + 7

= 5(x² - 4x + 4) + 7

= 5x² - 20x + 20 + 7

= 5x² - 20x + 27

The second equation given is illustrated as:

y = 3(x + 1)² + 12

y = 3(x + 1)(x + 1) + 12

y = 3(x² + 2x + 1) + 12

y = 3x² + 6x + 3 + 12

y = 3x² + 6x + 15

In conclusion, writing the equations in form of y = ax² + bx + c will be y = 5x² - 20x + 27 and y = 3x² + 6x + 15.

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About 70% of Australia's population are of British descent. If Australia's population is 25
million how many people are of British descent?

Answers

Answer:

17,500,000 people

Step-by-step explanation:

70% can be rewritten as 0.7 time 25 million

0.7*25,000,000 = 17,500,000

NEED HELP ASAP
Factor the trinomial: x² +22x + 72. Explain your steps.

Answers

I got you, bro

Answer:

(x+4)(x+18)

Explanation

Let's factor x2+22x+72

x2+22x+72

The middle number is 22 and the last number is 72.

Factoring means we want something like

(x+_)(x+_)

Which numbers go in the blanks?

We need two numbers that...

Add together to get 22

Multiply together to get 72

Can you think of the two numbers?

Try 4 and 18:

4+18 = 22

4*18 = 72

Fill in the blanks in

(x+_)(x+_)

with 4 and 18 to get...

(x+4)(x+18)

Answer:

(x+4)(x+18)

Answer:

(x+4)(x+18)

Step-by-step explanation:

Using the factorisation method :

We need 2 numbers that multiply to give +72 and add to give +22 :

To find these numbers we write out all the factors of 72 :

1, 72

2 , 36

3 , 24

4 , 18    ----> These must be the numbers as 4+18 = 22

Now we split +22x into +4x and +18x :

x² + 4x + 18x + 72

Factor the first 2 terms together and the last two terms :

x(x+4) + 18(x+4)

Keep 1 bracket and terms outside the brackets collect them into one:

(x+4)(x+18)

This is our final answer

Hope this helped and have a good day

Which ordered pair is a solution to the system of linear equations? 2x 3y= 6 –3x 5y = 10

Answers

The given system of equations has the solution, x = 0, and y = 2, giving the ordered pair (0, 2). Hence, the first option is the right choice.

In the question, we are asked for the ordered pair, which is the solution to the system of equations:

2x + 3y= 6 ... (i)

–3x + 5y = 10 ... (ii).

To solve for the solution to the system of equations, we use the elimination method.

We multiply (i) by 3, and (ii) by 2, and then add the resultant equations to eliminate x as follows:

 6x + 9y = 18 {(i) * 3}

-6x + 10y = 20 {(ii) * 2}

_____________

19y = 38,

or, y = 38/19 = 2.

Substituting, y = 2, in (i), we get:

2x + 3y = 6,

or, 2x + 3(2) = 6,

or, 2x + 6 = 6,

or, 2x = 6 - 6 = 0,

or, x = 0/2 = 0.

Thus, the given system of equations has the solution, x = 0, and y = 2, giving the ordered pair (0, 2). Hence, the first option is the right choice.

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The complete question is:

"Which ordered pair is a solution to the system of linear equations?

2x + 3y= 6

–3x + 5y = 10

(0,2)

(2,0)

(3,2)

(2,3)"

During a pumpkin launching contest, two pumpkins are launched at the same time. the path of pumpkin a is modeled by the equation y = –0.01x2 0.32x 4. the path of pumpkin b is modeled by the equation y = –0.01x2 0.18x 5. if x represents the distance the pumpkin traveled in feet and y represents height of the pumpkin in feet, what does the intersection point of the equations represent?

Answers

The distance at which pumpkins are the same height.

What do you mean by X and Y coordinates?

The X and Y coordinates are an address that help locate a point in two dimensions of space. The coordinates (x, y) are used to represent any point in the coordinate plane. The x value indicates the point's position in regard to the x-axis, and the y value indicates its position in relation to the y-axis.

Solution

Both equations' graphs would be at an intersection, which would indicate that their x and y coordinates are identical. The same y coordinate would indicate being at the same height at that precise distance since y refers to the pumpkin's height.

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Answer:

D). the horizontal distance of the pumpkins from the launch site when their heights are the same

Step-by-step explanation:

I took the flipping test nickle

If 0 is greater than f but less than or equal to 90, and cos(22f-1) = sin(7f+4), what is the value of f?

Answers

The value of f from the given expression is 3

Sine and cosine function

Given the expression below

cos(22f-1) = sin(7f+4),

This can also be expressed

cos(22f-1) = cos(90-7f-4)

cos(22f-1) = cos(86-7f)

22f - 1 = 86 - 7f

Collect the like terms

22f+7f = 86 + 1

29f = 87

f = 3

Hence the value of f from the given expression is 3

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The sum of two numbers is 140, and their difference is 20. What are the two numbers?

Answers

Answer:

60 and 80.

Step-by-step explanation:

If the numbers are x and y:

x + y = 140

x - y = 20     Adding:

2x = 160

x = 80

So y =  140 - 80 = 60.

Answer:

80 and 60

Step-by-step explanation:

Expressing the Word Problem mathematically.

Let the first number be X.

Let the second number be Y.

From the question,

[tex]x + y = 140 - - - - - (1) \\ x - y = 20 - - - - - (2) \\ From \: equation \: (2) \\ x = 20 + y - - - - - - (3) \\ Substitute \: equation \: 3 \: into \: 1 \\ 20 + y + y = 140 \\ 20 + 2y = 140 \\ 2y = 140 - 20 \\ 2y = 120 \\ Dividing \: bothsides \: by \: 2 \\ \frac{2y}{2} = \frac{120}{2} \\ y = 60 \\ Substitute \: y \: into \: quation \: 3 \\ x = 20 + 60 \\ x = 80 \\ Therefore, \: x = 80 \: and \: y = 60[/tex]

The two numbers are 80 and 60

One ticket to a ride of the merry-go-round ​at the Sunday Fair costs $2.

Jenny and her friends have $36 with them. If, after buying tickets to the merry-go-round, they want to be left with no less than $15 , find the maximum number of tickets that they can buy.

Answers

Considering the definition of an inequality, the maximum number of tickets that they can buy is 10.

Definition of inequality

An inequality is the existing inequality between two algebraic expressions, connected through the signs:

greater than >.less than <.less than or equal to ≤.greater than or equal to ≥.

An inequality contains one or more unknown values ​​called unknowns, in addition to certain known data.

Solving an inequality consists of finding all the values ​​of the unknown for which the inequality relation holds.

Maximum number of tickets that they can buy

In this case, you know that

One ticket to a ride of the merry-go-round ​at the Sunday Fair costs $2.Jenny and her friends have $36 with them.After buying tickets to the merry-go-round, they want to be left with no less than $15.

So, they want to spend on the purchase of tickets for the merry-go-round a value less than or equal to $36 - $15= $21.

Being "x" the maximum number of tickets that they can buy, the inequality that expresses the previous relationship is

2x≤ 21

Solving:

x≤ 21÷2

x≤ 10.5

Then, the maximum number of tickets that they can buy is 10.

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Jack is in a helicopter and looking down at two friends’ homes. The angle of depression to the first home is 72°. The angle of
depression to the second home is 49°. If the homes are 420m apart, what is the distance between the helicopter and the first
home?

Answers

The distance between the helicopter and the first home is 369. 87 m

How to solve the distance using the angle of depression?

The distance between the helicopter and the first home can be found using sine law,

Therefore,

180 - 72 - 49 = 59 degrees.

Hence,

420 / sin 59 = A / sin 49°

where

A  = distance form the first home to the helicopter.

cross multiply

420 sin 49 = A sin 59°

A = 420 sin 49 / sin 59

A = 316.978023694 / 0.8571673007

A = 369.869339199

A = 369. 87 m

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PLEASE HELP ASAP!!!!!!!
Given TU is parallel to XW

Prove XW = 8

Which step is missing?

Answers

The missing step in the proof is: D. Statement: XW/UT = XV/UV, Reason: Corresponding sides of similar triangles are proportional.

What are Similar Triangles?

When two triangles are proven to be similar to each other, their corresponding angles would be congruent while their corresponding sides will be proportional to each other.

In the proof given, both triangles are proven to be similar by the AA similarity theorem, therefore their corresponding sides will be proportional. This implies that: XW/UT = XV/UV.

The answer is D.

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If point E is the midpoint of and point D is the midpoint of , which expression represents the value of s

Answers

The length of ED is half the length of AB.

What is the length?Distance is measured by length. Length is a quantity with the dimension distance in the International System of Quantities. Most measurement systems use a base unit for length from which all other units are derived. The meter is the foundation unit of length in the International System of Units.

Reasons:

The given parameters are;

In ΔABC, point E is the midpoint of AC

The midpoint of BC is the point D

Segment ED = s

Segment CE = p

Segment EA = r

Segment CD = q

Segment DB = t

Segment ED = s

Segment AB = u

Required:

The expression that represents the value of [tex]s[/tex].

Solution:

CE = 0.5 × AC Definition of midpoint

CD = 0.5 × CB Definition of midpoint

Therefore, we have;

[tex]\frac{CE}{AC} =\frac{CD}{CB} =0.5[/tex]

Therefore, given that ∠C ≅ ∠C, by the reflexive property, we have;

ΔABC is similar to ΔCDE by Side-Angle-Side similarity

Which gives;

[tex]\frac{CE}{AC} = \frac{CD}{CB} = \frac{ED}{AB} =0.5=\frac{1}{2}[/tex]

ED = s and AB = u which gives;

[tex]\frac{ED}{AB}=\frac{s}{u} =0.5=\frac{1}{2}[/tex]

[tex]\frac{s}{u} =\frac{1}{2}[/tex]

Which gives:

[tex]s=\frac{1}{2} *u[/tex]

The expression that represents the value of s is; s = one-half u

Therefore, the length of ED is half the length of AB.

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The question you are looking for is here:

If point E is the midpoint of segment AC and point D is the midpoint of segment BC, which expression represents the value of s? triangle CAB, point E is on segment AC between points A and C and point D is on segment BC between points B and C, creating segment ED, CE equals p, EA equals r, CD equals q, DB equals t, ED equals s, and AB equals u s equals p over q s = one half s equals q over p s = 2u

Find the value of x. Circles!!

Answers

Answer:

98.5 degrees

Explanation:

According to the 'angles inside the circle theorem,' do

(101+96)/2 = 98.5

Have a blessed day!

Answer:

Step-by-step explanation:

Formula

<x = 1/2 (arc 1 + arc2)

This is the basic angle formula for the way two chords intersect.

Givens

arc1 = 96

arc2 = 101

Solution

<x = 1/2 (arc1 + arc2)                 Substitute values

<x = 1/2(96 + 101)

<x = 1/2(197)

<x = 98.5

Answer

x = 98.5

The blue dot is at what value on the number line?

Answers

Answer:

blue dot have value of -6 in y inverse axis

Other Questions
The inventory valuation method that identifies the invoice cost of each item in ending inventory to determine the cost assigned to that inventory is the: Group of answer choices First-in, first-out method. Weighted average inventory method. Specific identification method. Last-in, first-out method. Cost accounting method. Cesarean sections are medically indicated for approximately _______ percent of births. The function of sigma factor in bacteria is replaced by that of _____ in eukaryotes. In a movie theater, the number of seats in a row is 8 greater than the total number of rows. How many rows are in the movie theater, if the total number of seats in the theater is 884? Find the x and y intercepts on the graph of the line, if they exist.3x + 4y = 24 If a researcher wants to complete an initial assessment of a group of participants, this is referred to as: PLS HELP I WILL GIVE YOU 100 POINTS Question 4 (True/False Worth 4 points)(07.07)True or False?When temperature rises, the number of people who go to the beach increases. Temperature is the independent variable in this situation.TrueFalse Is the great debaters a true story? The ________ takes into account such costs as deteriorated customer relations and lost sales The grim realities of street life belies the traditional romantic notions of adventure found in the novels of Mark Twain or Charles Dickens. Your assignment in Journalism 101 is to research hypnosis. Which of the following statements would be most ACCURATE to include in your report The small spherical planet called "Glob" has a mass of 7.881018 kg and a radius of 6.32104 m. An astronaut on the surface of Glob throws a rock straight up. The rock reaches a maximum height of 1.44103 m, above the surface of the planet, before it falls back down. Initial speed of the rock = 1.92101 m/s. (Glob has no atmosphere, so no energy is lost to air friction. G = 6.6710-11 Nm2/kg2.)A 36.0 kg satellite is in a circular orbit with a radius of 1.45105 m around the planet Glob. Calculate the speed of the satellite. Help me out on this, ASAP!!! (Geometry)Write formal proofs using the HL Theorm. 3. What is the molar mass of Li2SO4? (2 points)O 54.9 g/mol103.0 g/molO109.9 g/molO 206.1 g/mol A nurse is performing a venipuncture on an older adult client whose veins are difficult to locate. Which of the following actions should the nurse take The members of a cooking club are making cakes, which they will sell at a street fair for $8 apiece. It cost $30 for a booth at the fair, and the ingredients for each cake cost $2. At some point, the club members will sell enough cakes so that their sales cover their expenditures. How many cakes will they have sold? Which types of attacks are thwarted by complex passwords that are combinations of upper and lower case letters, numbers, and special characters What were the two rules ALL of the Italian states agreed upon prior to the invasion of Charles All of the following are considered phases of the management process except ________. planning directing controlling executing If an i/o psychologist is employed by a company that appears to be discriminating against hispanics, is it ethical for her to stay with the company? what ethical obligations does she have?