what is the area of the pentagon shown below a.27 square feet b. 58.5 c.85.5 d.117
Explain why.
Answers
Answer:
Option B, Area of pentagon = 58.5 Square feet
Step-by-step explanation:
The remaining part of the question is attached as image
Solution
Area of pentagon has a triangle and a trapezoid
Area of triangle = 0.5 *base *height = 0.5*9 *3 = 13.5 square feet
Area of trapezoid = Area of rectangle – 2* area of smaller triangles
= 9 ft * 6ft – ( 2 * 0.5 * 6 ft * (9 ft – 6ft) /2
= 54 – (1*6*1.5)
Area of pentagon = 13.5 + 45 = 58.5 Square feet
Hence, option B is correct
Related Questions
M drives past two traffic lights. Probability that both are red is .35 and probability that firest is red is .48. wht is probability that second light is red, given that first light is red?
Answers
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
21/100 = k/10 + 1 /100 what number is k?
Answers
Each (hypothetical) data set below represents some readings on span gas. Assume the Gauss model, with errors following the normal curve. However, bias may be present. In each case, make a t-test to see whether the instrument is properly calibrated or not. In one case, this is impossible. Which one, and why?
a. 71, 68, 79
b. 71, 68, 79, 84, 78, 85, 69
c. 71
d. 71, 84
Answers
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.
Draw a square with one vertex on the origin (-3, 5) and a perimeter of 20.
Answers
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.
Thank you for the help I need it for a test so if I could have ASAP thank you
Answers
36. Saudi Arabia has proven oil reserves of
2.63 x 1011 barrels. Kuwait has proven oil
reserves of 9.78 x 1010 barrels. Canada
has proven oil reserves of 1.789 x 1011
barrels. What are the combined proven
oil reserves of the three countries?
Answers
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
Please look at the image
Answers
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
Find the value of x that makes m || n
Answers
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
Randomly picking a green care from a standard deck of playing cards
Answers
PLEASE HELP ME I DESPERATE
Answers
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.
Suppose you are a civil engineer, specializing in traffic volume control for the City of Grand Rapids. Your department has been receiving a multitude of complaints about traffic wait times for a certain intersection in the heart of downtown. To see if these claims are valid, you want to monitor the true average wait time at that intersection. Over the course of a few months, you record the average number of minutes a car waits at the intersection between 4:00 PM and 5:00 PM. With a sample size of 9 cars, the average wait time is 6.79 minutes with a standard deviation of 2.2175 minutes. Construct a 99% confidence interval for the true average wait time for a car at the intersection between 4:00 PM and 5:00 PM.
Answers
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)
Which angles are right?
Answers
Answer:
right angle triangles with ninty degree
help with this please
Answers
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 )
A math recap workshop is provided to the first year students entering a city college. To evaluate the workshop effectiveness, a study is conducted as following: 20 students with similar math backgrounds are randomly selected for the study. Of the 20 students, 10 of them are selected to attend the workshop and the other 10 do not attend the workshop. After the workshop has taken place a test is given to all 20 students. What is the appropriate inference test to use in this situation
Answers
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.
jkajkajkamkjsjsnjjkakkamabzbnananajao
Answers
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
The Bransen Family picked 20 red apples, 28 yellow apples, and 12 bushel of green apples. Starting the following day, they ate 2 red apples and 3 yellow apples every day. When 6 red apples are left, how many yellow apples will be left?
Answers
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.
PLEASE HELP WILL GIVE BRAINLIEST
WHAT IS DIVIDED BY 196
Answers
Answer:
1, 2, 4, 7, 14, 28, 49, 98, and 196.
Step-by-step explanation:
If the function f(x)=Mx+b has an inverse function , which statement must be true
Answers
m≠0, m must not be zero. I hope this helps!
I need the answer fast pls
Answers
A building code allows a maximum of 140 people in a meeting room. There is one large table in the room, along with some small tables. When filed, the large table seats 15 people, and the small table each seat 5 people. Which of the following can be used to find t, the greatest number of small tables that can be filled when the large tables are also filled?
Answers
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
…….hope ……this helps you! …..
Wilcox, chief executive officer and chairman of the board of directors, owned 60 percent of the shares of Sterling Corporation. When the market price of Sterling’s shares was $22 per share, Wilcox sold all of his shares in Sterling to Conrad for $29 per share. The minority shareholders of Sterling brought suit against Wilcox demanding a pro rata share of the amount Wilcox received in excess of the market price. a. What are the arguments to support the minority shareholders’ claim for a pro rata share of the amount Wilcox received in excess of the market price? b. What are the arguments to reject the minority shareholders’ claim for a pro rata share of the amount Wilcox received in excess of the market price? c. Which side should prevail?
Answers
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)
What are the domain and range of the function below? domain: (-40)
range: (-2,00)
domain: (-3,0)
range: [-2.00)
domain: (-0,00
range: -2.00)
domain: [-2.00)
range
CO
Answers
range{-2,00)
Step-by-step explanation:
In the graph the domain is {-3, -1, 0, 1, 2} and range is {-2, 1}
What is a function?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}
To learn more on Functions click:
https://brainly.com/question/30721594
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[tex]a2 \div a - b + b2 \div b - a[/tex]
Answers
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
A signalized intersection has a cycle length of 70 seconds. For one traffic movement, the displayed all-red time is set to 2 seconds while the displayed yellow time is 5 seconds. The effective red time is 37 seconds and the total lost time per cycle for the movement is 4 seconds. What is the displayed green time for the traffic movement
Answers
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
An envelope is 6 cm longer than it is wide. The area is 72 cm squared, find the length and the width.
Answers
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.
Learn more about the surface area here: https://brainly.com/question/2835293
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If you know how to solve this, Please answer it. Thank You
The first one to answer the question right, will get Brainlist!
I PROMISE!!!!!
Answers
f(x) = 25
25{13(5)}= 1625
Explanation:
f{g[h(x)]}
= f{g[5]}
= f{5 + 8}
= f{13}
= 13^2
= 169
Please help me I need this asap
Answers
Answer:
its b i had this same thing in classkick
Step-by-step explanation:
What is the LCD for the given equation? 1/v^2=1/3v-2/v^2
Answers
that’s what I got.
Convert.
2 mi = _ yd
Answers
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
A company's sales force makes 400 sales calls, with 0.25 probability that a sale will be made on a call. What is the probability that between 75 (inclusive) and 95 (inclusive) sales will be made? Enter your answer as a decimal value, rounded to 4 decimal places.
Answers
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