Trevor folded a corner of a rectangular piece of paper to form a pentagon, as shown below. What is the area of the shaded pentagon? A. 84.5 square inches B. 75.5 square inches c. 39.5 square inches D. 35 square inches.
PLEASE HELP I WILL GIVE BRAINLIEST.
Answers
Answer:
B. 75.5 square inches
Step-by-step explanation:
Area (pentagon) = Area (rectangle) - Area (triangle)
= length x width - 1/2 x breadth x height
= 10 x 8 - 1/2 x 3 x 3
= 80 - 4.5
= 75.5 square inches
Solution :-
B. 75.5 square inches
Answer:
B) 75.5 in²
Step-by-step explanation:
Area of rectangle = width × length
⇒ area of rectangle = 8 × 10 = 80 in²
Area of triangle = 1/2 × base × height
⇒ area of triangle = 1/2 × 3 × 3 = 4.5 in²
Area of pentagon = area of rectangle - area of triangle
= 80 - 4.5
= 75.5 in²
Related Questions
To save money you set aside $50. For each following month you set aside 10% more than the previous month.How much money will you save in a year? Explain each step.
Answers
(16/81
[tex](16 \div 81)1 \div 4[/tex]
Answers
(fraction)
PLEASE HELP!
Casey has 48 red peppers and 16 yellow peppers.
If Casey wants to put the peppers into baskets so that each basket has the same number of red peppers and the same number of yellow peppera, what is the greatest number of baskets he can make? How many of each type of pepper will be in each basket?
Answers
Answer:
Casey should use 16 baskets and put 4 red peppers 1 yellow pepper into each one of them.
Step-by-step explanation:
Greatest Common Divisor (GCD)
The GCD of x and y is the maximum possible number that evenly divides both of them.
For example, GCM(36,48) is 12 because 36/12 is a whole number and 48/12 is also a whole number and 12 is the greatest of all possible candidates. Note that 6 is also a common divisor (36/6 and 48/6 are whole numbers), but it's not the maximum.
Casey has 48 red peppers and 16 yellow peppers. Since he wants to put them into baskets in such a way that each basket has the same number of red peppers and the same number of yellow peppers, we must find the greatest divisor for both numbers to maximize the number of baskets.
The GCM(48,16) is 16. Number of red peppers per basket=48/16=4. Number of yellow peppers per basket=16/16=1, thus:
Casey should use 16 baskets and put 4 red peppers 1 yellow pepper into each one of them.
According to a study done by a university student, the probability a randomly selected individual will not cover his or her mouth when sneezing is . Suppose you sit on a bench in a mall and observe people's habits as they sneeze. (a) What is the probability that among randomly observed individuals exactly do not cover their mouth when sneezing? (b) What is the probability that among randomly observed individuals fewer than do not cover their mouth when sneezing? (c) Would you be surprised if, after observing individuals, fewer than half covered their mouth when sneezing? Why? (a) The probability that exactly individuals do not cover their mouth is nothing. (Round to four decimal places as needed.) (b) The probability that fewer than individuals do not cover their mouth is nothing. (Round to four decimal places as needed.) (c) Fewer than half of individuals covering their mouth ▼ would would not be surprising because the probability of observing fewer than half covering their mouth when sneezing is nothing, which ▼ is is not an unusual event. (Round to four decimal places as needed.)
Answers
Complete Question
The complete question is shown on the first uploaded image
Answer:
a
[tex]P(X = 8) = 0.0037[/tex]
b
[tex]P(X < 5) = 0.805[/tex]
c
[tex]P(X > 6) = 0.0206[/tex]
I would be surprised because the value is very small , less the 0.05
Step-by-step explanation:
From the question we are told that
The probability a randomly selected individual will not cover his or her mouth when sneezing is [tex]p = 0.267[/tex]
Generally data collected from this study follows binomial distribution because the number of trials is finite , there are only two outcomes, (covering , and not covering mouth when sneezing ) , the trial are independent
Hence for a randomly selected variable X we have that
[tex]X \ \ \~ \ \ { B ( p , n )}[/tex]
The probability distribution function for binomial distribution is
[tex]P(X = x ) = ^nC_x * p^x * (1 -p) ^{n-x}[/tex]
Considering question a
Generally the the probability that among 12 randomly observed individuals exactly 8 do not cover their mouth when sneezing is mathematically represented as
[tex]P(X = 8) = ^{12} C_8 * (0.267)^8 * (1- 0.267)^{12-8}[/tex]
Here C denotes combination
So
[tex]P(X = 8) = 495 * 0.000025828 * 0.28867947[/tex]
[tex]P(X = 8) = 0.0037[/tex]
Considering question b
Generally the probability that among 12 randomly observed individuals fewer than 5 do not cover their mouth when sneezing is mathematically represented as
[tex]P(X < 5 ) =[P(X = 0 ) + \cdots + P(X = 4)][/tex]
=> [tex]P(X < 5 ) =[ ^{12} C_0 * (0.267)^0 * (1- 0.267)^{12-0} + \cdots + ^{12} C_4 * (0.267)^4 * (1- 0.267)^{12-4} ][/tex]
=> [tex]P(X < 5 ) = 0.02406 + 0.10516 + 0.21067 + 0.25580 + 0.20964[/tex]
=> [tex]P(X < 5) = 0.805[/tex]
Considering question c
Generally the probability that fewer than half(6) covered their mouth when sneezing(i.e the probability the greater than half do not cover their mouth when sneezing) is mathematically represented as
[tex]P(X > 6) = 1 - p(X \le 6)[/tex]
=> [tex]P(X > 6) = 1 - [P(X = 0) + \cdots + P(X =6)][/tex]
=> [tex] P(X > 6)=1 - [^{12} C_0 * (0.267)^0 * (1- 0.267)^{12-0}+ \cdots + ^{12} C_4 * (0.267)^6 * (1- 0.267)^{12-6} ][/tex]
=> [tex] P(X > 6)= 1 - [0.02406 + \cdots + 0.0519 ][/tex]
=> [tex]P(X > 6) = 0.0206[/tex]
I would be surprised because the value is very small , less the 0.05
(a )randomly observed individuals exactly do not cover their mouth when sneezing
[tex]P[x=8]=0.0037[/tex]
(b) randomly observed individuals fewer than do not cover their mouth when sneezing
[tex]P[x < 5]=0.805[/tex]
(c) fewer than half covered their mouth when sneezing
[tex]P(x > 6)=0.0206[/tex]
What will be the probability?It is given in the question that
The probability a randomly selected individual will not cover his or her mouth when sneezing is
[tex]P=0.267[/tex]
Generally, data collected from this study follows binomial distribution because the number of trials is finite, there are only two outcomes, (covering, and not covering mouth when sneezing ), the trial is independent
The probability distribution function for binomial distribution is
[tex]P(x=8)=n C_X\times p^x\times (1-p)^{n-x}[/tex]
Generally, the probability that among 12 randomly observed individuals exactly 8 does not cover their mouth when sneezing is mathematically represented as
[tex]P(x=8)=12c_8\times (0.267)^8\times (1-0.267)^{12-8}[/tex]
[tex]p(x=8)=495\times 0.000025828\times 0.2886794[/tex]
[tex]p(x=8)=0.0037[/tex]
Generally, the probability that among 12 randomly observed individuals fewer than 5 do not cover their mouth when sneezing is mathematically represented as
[tex]p(x < 5)=[p(x=0)+......+p9x=4)][/tex]
[tex]p(x < 5)=[12c_0\times(0.267)^0\times(1-0.267)^{12-0}+........+12c_4\times(0.267)^4\times (1-0.267)^{12-4}[/tex]
[tex]p(x < 5)=0.02406+0.10516+0.21067+0.25580+0.20964[/tex]
[tex]p(x < 5)=0.805[/tex]
Generally the probability that fewer than half(6) covered their mouth when sneezing(i.e the probability the greater than half do not cover their mouth when sneezing) is mathematically represented as
[tex]p(x > 6)=1-p(x\leq 6)[/tex]
[tex]p(x > 6)=1-[p(x=6)+......+p(x=6)][/tex]
[tex]p(x > 6)=1-[12c_0(0.267)^0\times(1-0.267)^{12-0}+....+12c_4\times(0.267)^6\times(1-0.267)[/tex]
[tex]p(x > 6)=1-[0.02406+.....+0.0519][/tex]
[tex]p(x > 6)=0.0206[/tex]
Thus
(a )randomly observed individuals exactly do not cover their mouth when sneezing
[tex]P[x=8]=0.0037[/tex]
(b) randomly observed individuals fewer than do not cover their mouth when sneezing
[tex]P[x < 5]=0.805[/tex]
(c) fewer than half covered their mouth when sneezing
[tex]P(x > 6)=0.0206[/tex]
To know more about probability follow
https://brainly.com/question/25839839
Carol and Linda are both selling cookies.
Carol sells her cookies for $1.25 per box, and she
already made $64.00. Linda sells her cookies for
$220 per box, and she already made $45.00. If both
of them sell the same number of boxes of cookies,
which one of the following inequalities can help you
find the least possible value of b, the number of
boxes of cookies Linda must sell so she will make
more money than Carol?
Answers
Answer:
This inequality is impossible. Assuming this is realistic, Linda cannot sell part of a box of cookies and therefore cannot make less than $220.
Step-by-step explanation:
Six of 8 stores have power drinks on sale saturday. In simplest form, what fraction of the stores has power drinks on sale saturday?
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Ten times a number is 36 more than four times that number. Find the number.
Answers
Answer:
6
Step-by-step explanation:
10x=36+4x
6x=36
x=6
An object’s speed and direction is its ________.
Answers
Hope this helps :)
-Rae
How could you describe the maximum the LCM between two numbers could be?
Answers
Answer:
the product of the two numbers
Step-by-step explanation:
The LCM of two numbers is their product, divided by their GCF. If their GCF is 1, then the LCM will be their product. That is the most it can be.
__
We assume you're concerned with whole numbers. For rational numbers, the GCF may be a fraction, so the LCM may be larger than the product of the numbers.
LCM(5, 6) = 5·6/GCF(5, 6) = 5·6/1 = 30
LCM(1/2, 3/4) = (1/2)(3/4)/GCF(1/2, 3/4) = (3/8)/(1/4) = 3/2
Put these numbers in order from least to greatest.
Answers
Answer:
[tex]\sqrt{1}[/tex], 1.23, 5/4, [tex]\sqrt{3}[/tex], 1.9, 11/3
Step-by-step explanation:
5/4 = 1.25
11/3 = 3.67
[tex]\sqrt{3} =1.73[/tex]
[tex]\sqrt{1} =1[/tex]
1.23
1.9
Numbers from least to greatest:
[tex]\sqrt{1}[/tex], 1.23, 5/4, [tex]\sqrt{3}[/tex], 1.9, 11/3
Sean is comparing dog food prices.At pet foods store,the total weight of a bag of dog food varies directly with the number of bags.Each bag costs $46.04.another store Healthy Pets sells dog food in 50 lb bags. Each bag costs $88.45. How much would Sean save by buying a 150 lb of dog food from Pet Foods instead of Healthy pets?
Answers
Answer:
Step-by-step explained :
will he take the job direct speech into indirect speech
Answers
Will he take the job?
Indirect Speech:He asked whether he would take the job.
Hope it helps.ray4918 herePlease pass this on... ( #helpsavelives )
Whoever is reading this:
I love u.
U matter.
The world needs u
hang in there ik it may be bad but u deserve the world <3
ur beautiful no matter ur shape, size, color, gender.. anything
don't give up I need u to live.
I wish I could take everyone's problems so yall wouldn't have to have em but I can't so just know ily and if anyone needs to talk u can talk to me
Please, pass this on. Everyone deserves to know this.❤❤
just copy and paste its not hard pls this could save someone's life
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Answer:
Ive seen lots of these and just saw this one too but this actually really does help so thankyou for passing it on ily too<3
Step-by-step explanation:
Washington Middle School has the annual musical production this weekend. Of the 900 tickets sold, 45 percent are for the Friday night performance. How many tickets were sold for the Friday night performance?
Answers
Answer:
405 tickets
Step-by-step explanation:
Answer:
45% of 900=900(0.45)=405. The third answer Is correct.
Step-by-step explanation: i took a quiz with this
Given the graph of the absolute value function below write the function in the form?
Answers
Answer:
g(x)=|(2)(x+4)|-2
Step-by-step explanation:
B=0.5
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Simplify the expression using the following values:
w=−4; v=5; u=2
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Answers
Given:
w=-4v=5u=2Step by step explanation:
Step 1:
[tex]4w² − v + 3u[/tex]
Step 2:
[tex] = {4( - 4)}^{2} - 5 + 3 \times 2[/tex]
Step 3:
[tex] = 4(16) - 5 + 6[/tex]
Step 4:
[tex] = 64 - 5 + 6[/tex]
Step 5:
[tex] = 64 + 1[/tex]
Step 6:
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Grady is excavating the foundation of a house. If the hole will be
40 feet long, 24 feet wide, and 4 feet deep, how many cubic feet
of dirt must be removed from the site?
Answers
Answer:
3,840 cubic feet
Step-by-step explanation:
V=LWH
V= 40X24X4
V=3,840 cubic feet
Simplify this expression 1/2k^2+g-3+1/2k^2-3+2g
Answers
Step-by-step explanation:
the answer is 4 there are these steps you need to do this but I am not going to sit hee for an hour and tell you how to solve this answer so that is the answer
Answer:
THE CORRECT ANSWER IS A.
Step-by-step explanation:
PLS HELP :(
Solve the inequality and graph the solution on the line provided.
Answers
Answer:
[tex]x\leq -1[/tex]
Step-by-step explanation:
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2.[tex]7x\leq -7[/tex]
3. divide both sides by 7
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Answers
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What is the simplified form of square root of 45?
Answers
Answer:
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Paul is training for a bike race and is attempting to improve his average speed. With his old trainer, Paul averaged a pace of 20 MPH. With his new trainer, he rode at an average speed of 27 MPH. By what percent did his average speed increase?
Answers
Answer:
5.4%
Hope This Helps!
HELP QUICK WILL GIVE BRAINLIEST
Answers
Step-by-step explanation:
What is the value of g? 18g+7=g
Answers
Answer:
The model below represents an equation. Which value of x makes the value true?
x=
Step-by-step explanation:The model below represents an equation. Which value of x makes the value true?
x=
a seed company has a test plot in which it is testing the germination of a hybrid seed, They plant 50 rows of 40 seeds per row. After a two week period, the researchers count how many seed per row have sprouted. They noted that least number of seeds to germinate was 33 and some rows had all 40 germinate. The germination data is given below in the table. The random variable x represents the number of seed in a row th
Answers
Answer:
Mean =[tex]\sum x P(x) = 36.86[/tex]
Standard deviation =[tex]\sum x^2P(X)=1360.9[/tex]
Step-by-step explanation:
x P(x) [tex]x \times P(x)[/tex] [tex]x^2 \times P(x)[/tex]
33 0.02 0.66 21.78
34 0.06 2.04 69.36
35 0.1 3.5 122.5
36 0.2 7.2 259.2
37 0.24 8.88 328.56
38 0.26 9.88 375.44
39 0.1 3.9 152.1
40 0.02 0.8 32
1 36.86 1360.9
We are supposed to find mean and standard deviation
Mean =[tex]\sum x P(x) = 36.86[/tex]
Standard deviation =[tex]\sum x^2P(X)=1360.9[/tex]
what is the answer of the question I need urgent answer please
Answers
Step-by-step explanation:
therefore the answer is 25/9
in which quadrant is the point (4,- 2) located
Answers
Answer:
4
Step-by-step explanation:
what is - 5/6 divided by 9/10?
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- 25/27
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Answers
Answer
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Step-by-step explanation:
How many 3/4
cups of juice can be poured from 6 cups of juice?
Answers
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Step-by-step explanation: 4x6=28
28 divided by 4 = 8
The city has granted you a low property tax rate on your new hotel, and you will be paying $302,850 in taxes in the first year. After the first year, the tax you pay will then increase by 2% per year for the next 3 years. What will you pay in taxes at the end of the third year?
Answers
Answer:
the answer is $332135 for this question