what is the area of the pentagon shown below a.27 square feet b. 58.5 c.85.5 d.117

Explain why.

9514 1404 393

Answer:

  7

Step-by-step explanation:

The number of red apples (r) in terms of the number of days (d) is ...

  r = 20 -2d

The number of yellow apples (y) in terms of the number of days (d) is ...

  y = 28 -3d

Using the first equation to write and expression for d, we can substitute into the second equation.

  r -20 = -2d

  (20 -r)/2 = d . . . . from the first equation

Then ...

  y = 28 -3(20 -r)/2 = 28 -30 +3/2r = (3/2)r -2

For 6 red apples left, the number of yellow apples left is ...

  y = (3/2)(6) -2 = 7

7 yellow apples will be left when 6 red apples are left.

Answer:

Coordinates:

(-3, 5)

(2, 5)

(-3, 10)

(2, 10)

Step-by-step explanation:

Perimeter formula:

length + width + length + width

Insert known value(s):

l + w + l + w = 20

Squares must have the same value for all 4 sides, so what number × 4 will equal 20? 5.

5 + 5 + 5 + 5 = 20

This means coordinates will be 5 units apart:

(-3 + 5, 5) = (2, 5)

(-3, 5 + 5) = (-3, 10)

Mark these coordinates on your grid as you go to double check the shape turns becomes a square:

(2, 5 + 5) = (2, 10)

Counting between them should equal 5 units for each side: I checked using the desmos graphing calculator online.

Answer:

Step-by-step explanation:

Overall probability = Probability1 *Probability2

Using the data you already have, you can fill it in as

0.35 = 0.48 * P2

Rearrange to isolate P2, by dividing both sides by 0.48, so

0.35/0.48 = P2

P2 = 0.7291666..., which rounded to two d.p is 0.73

So d)0.73 is correct

Answer:

full length would be 56 and width 42

Step-by-step explanation:

The required length and width of the envelope are given as 12cm and 6cm respectively.

Given that,
An envelope is 6 cm longer than it is wide. The area is 72 cm squared.

Surface area is defined as the measure of a region or surface is called as surface area.

Here,
Let the width of the envelope be x,
According to the question,
Length of the envelope = x + 6
Area of the envelope = (x + 6)x
(x + 6)x = 72
x² + 6x -72 = 0
(x + 12)(x - 6) = 0
x = 6 and x = -12
We consider x = 6 because the measure of length is always positive,
Length  = x + 6 = 6 + 6 = 12

Thus, the required length and width of the envelope is given as 12cm and 6cm.

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Answer:

0.8629

Step-by-step explanation:

Given :

Number of trials, n = 400

p = 0.25

q = 1 - p = 1 - 0.25 = 0.75

With the information given, we could use a binomial probability relation to solve :

Recall : P(x = x) = nCx * p^x * q^(n-x)

Therefore, the probability that between 75 (inclusive) and 95 (inclusive) can be interpreted as :

P(75≤X≤90) = P(X ≥ 75) - P(X ≤ 90)

Using a binomial probability calculator :

P(X ≥ 75) = 0.9987

P(X ≤ 90) = 0.1358

0.9987 - 0.1358 = 0.8629

Answer:

Sterling Corporation

a. Arguments to support the minority shareholders' claim include:

1. If there is a provision to this effect in the Shareholders' agreement,

2. If the minority shareholders can prove that Wilcox oppressed the minority shareholders by selling off his shares in the corporation, and

3. If the Shareholders' agreement forbids Wilcox from selling off his shareholdings.

b. The arguments to reject the minority shareholders' claim include:

1. As the majority shareholder, Wilcox dictates the direction of firm until the sale-off.

2. Wilcox is within his rights to sell his shares to Conrad.

3. Wilcox does not oppress the minority shareholders with the sale to Conrad.

c.  Wilcox should prevail.  Apparently, he did not act illegally or contrary to agreement.

Step-by-step explanation:

Shareholding of Wilcox (chief executive officer and chairman of the BOD) = 60%, which is > 50%.

Shareholding of Minority shareholders = 40%, which is <50%

Market price per share of Sterling Corporation = $22

Selling price of Wilcox's shares = $29

Excess of the market price = $7 ($29 - $22)

Answer:

the displayed green time for the traffic movement is 30 seconds

Step-by-step explanation:

Given the data in the question;

Cycle length; C = 70 seconds

Displayed all-red time; AR = 2 seconds

Displayed yellow time; Y = 5 seconds

Effective red time; r = 37 seconds

total lost time per cycle; [tex]t_L[/tex] = 4 seconds

the displayed green time for the traffic movement; G = ?

First we determine the Effective green time ( g );

Effective red time; r = Cycle length; C - Effective green time ( g )

so,

Effective green time ( g ) = C - r

we substitute

Effective green time ( g ) = 70 seconds - 37 seconds

Effective green time ( g ) = 33 seconds

Now,

Effective green time ( g ) = displayed green time; G + Displayed yellow time; Y + Displayed all-red time; AR - total lost time per cycle; [tex]t_L[/tex]

i.e

g = G + Y + AR - [tex]t_L[/tex]

we substitute

33 = G + 5 + 2 - 4

33 = G + 3

G = 33 - 3

G = 30 seconds

Therefore, the displayed green time for the traffic movement is 30 seconds

Answer:

25 tables

Step-by-step explanation:

140-15=125

after the big table is filled 125 people are left

small tables fit 5 people

125÷5=25

1 big table and 25 small tables are needed to seat everyone

range{-2,00)

Step-by-step explanation:

In the graph the domain is {-3, -1, 0, 1, 2} and range is {-2, 1}

A relation is a function if it has only One y-value for each x-value.

The domain and range are defined for a relation and they are the sets of all the x-coordinates and all the y-coordinates of ordered pairs respectively.

If the relation is, R = {(2, 1), (1, 1), (0, 1), (-1, -2), (-3, -2)}, then:

Domain = the set of all x-coordinates = {-3, -1, 0, 1, 2}

Range = the set of all y-coordinates = {-2, 1}

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Answer:

(4.31 ; 9.27)

Step-by-step explanation:

Given :

Sample size , n = 9

Mean, x = 6.79

Standard deviation = 2.2175

The confidence interval :

Xbar ± Margin of error

Margin of Error = Zcritical * s/√n

Zcritical at 99% ; df = n - 1 = 9 - 1 = 8 = 2

Zcritical at 99% = 3.355

Margin of Error = 3.355 * 2.2175/√9 = 2.480

Lower boundary = 6.79 - 2.480 = 4.31

Upper boundary = 6.79 + 2.480 = 9.27

(4.31 ; 9.27)

Answer:

0

Step-by-step explanation:

Given

a² ÷ a - b + b² ÷ b - a ← perform the division calculations

= a - b + b - a ← collect like terms

= 0

Answer:

0

Step-by-step explanation:

=a^2/a-b+b^2/b-a

=here denominator which divides a^2 and b^2 gets cancelled

=a-b+b-a

=+a-a and +b -b gets cancelled

and answer is 0

Answer:

x = 23

Step-by-step explanation:

7x - 11 = 4x + 58

(7x - 4x) - 11 = (4x - 4x) + 58

3x - 11 = 58

3x (- 11 + 11) = 58 + 11

3x = 69

3x/3 = 69/3

x = 23

m≠0, m must not be zero. I hope this helps!

Answer:

Sin T = 0.28

Step-by-step explanation:

Here in this question

Hypotenuse = 25

Base = 24

The third vertex of the triangle is Sqrt (25*25 - 24*24) = 7

SinT = Perpendicular/Hypotenuse

SinT = 7/25

Sin T = 0.28

Answer:

STN = 65 Completing the 180 degrees

115+m(STN)=180

m(STN)=65

mNTR=115

because The NTR and MTS meet theyself

mRTM=65

same The NTR and MTS

because RTM ans STN meet theyself

hopefully you understand it

i am trying hard to explain the question when i solve it but my engilish is not helping to handle it

Answer:

( x + 2 ) and ( x - 11 )

Step-by-step explanation:

x² - 9x - 22 = 0

x² + 2x - 11x - 22 = 0

x ( x + 2 ) - 11 ( x + 2 ) = 0

( x + 2 ) ( x - 11 ) = 0

Factors of x² - 9x - 22 are ( x + 2 ) and ( x - 11 ).

Answer:

( x - 11 ) ( x + 2 )

Step-by-step explanation:

x² - 9x - 22 = 0

→ Write 2 factors which multiply to -22 and add to -9

-11 and 2

→ Put the factors into brackets

( x - 11 ) ( x + 2 )

Answer:

1, 2, 4, 7, 14, 28, 49, 98, and 196.

Step-by-step explanation:

Answer:

A and C

Step-by-step explanation:

5+(-5) is the same thing as 5-5 so the answer is 0. If you went to the right of number five you would get ten. The answer is 0 so you have to go left of 5 to get to zero.

Answer: 2 mi = 3520.00 yd

Answer:

2 mi= 3520 yd

Step-by-step explanation:

To convert a mile measurement to a yard measurement, multiply the length by the conversion ratio.

1 mile is equal to 1,760 yards

multiply the length value by 1760 to get your answer

2 x 1760 = 3520

Answer:

Independent sample t test

Step-by-step explanation:

The Independent sample t test could be explained as a statistical test carried out in other to establish or examine if significant difference exists between two independent samples. That is the outcome of the samples do not depend on one another. Using the scenario described above, the difference between the same variable is measured for two different groups which is the ideal set up for an independent sample t test. The difference between test score for two independent samples (those who attended the workshop and those who did not) is being compared.

Answer:

right angle triangles with ninty degree

Answer:

its b i had this same thing in classkick

Step-by-step explanation:

Answer:

5.397*10^11

Step-by-step explanation:

2.63*10^11

0.978*10^11

1.789*10^11

--------------

5.397*10^11

Answer:

71 ( C ).

Step-by-step explanation:

The impossible case is the third case i.e.71

because there is only one reading on the span gas hence it is impossible to carry out a t-test on just one valid reading in an experiment.