A four-sided geometric object called a trapezoid has one pair of opposing sides that run parallel to one another. Its parallel sides are represented by its two bases, while its non-parallel sides are represented by its two legs. The lateral sides of the trapezoid are another name for the legs.
We must first locate the location of the trapezoid in order to determine where the grey patch of land will be after the 3 m walkway has been built. The following formula determines the area of trapezoid:
A = (b1 + b2)/2 * h
where h is the height, and b1 and b2 are the bases' lengths.
Inputting the values provided yields:
A is equal to (150m + 100m)/2 * 52m, or 125m * 52m, or 6500m2[tex]m^{2}[/tex].
After the walkway is built, the area of the grey piece of land is equal to the trapezoid's area minus the walkway's area. The walkway is 3 m by 52 m in size, or 156 [tex]m^{2}[/tex].
Therefore, 6500[tex]m^{2}[/tex] - 156[tex]m^{2}[/tex] = 6344[tex]m^{2}[/tex] is the area of the grey patch of land once the walkway is built.
So, the area of gray patche of land after construction of the walkway is 6344[tex]m^{2}[/tex].
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What is the area of the following circle?
Either enter an exact answer in terms of 7 or use 3.14 for I and enter your answer as a decimal.
d = 14
units2
9514 1404 393
Answer:
49π units^2
Step-by-step explanation:
The area is given by the formula ...
A = πr^2 . . . . . . where r is half the diameter.
For the given circle, the area is ...
A = π(14/2)^2 = 49π . . . . square units
Independent Practice
Find the second, fifth, and ninth terms of each sequence.
an=−5+(n−1)7a subscript n baseline equals negative 5 plus left parenthesis n minus 1 right parenthesis 7
A.
–4, –1, 3
B.
7, 28, 72
C.
12, 33, 61
D.
2, 23, 51
Answer:
A.
2, 23, 51
Step-by-step explanation:
Substitute 2, 5, and 9 for n in the function and simplify in each case.
a2=−5+(2−1)(7)=2 a subscript 2 baseline equals negative 5 plus left parenthesis 2 minus 1 right parenthesis left parenthesis 7 right parenthesis equals 2
a5=−5+(5−1)(7)=23 a subscript 5 baseline equals negative 5 plus left parenthesis 5 minus 1 right parenthesis left parenthesis 7 right parenthesis equals 23
a9=−5+(9−1)(7)=51 a subscript 9 baseline equals negative 5 plus left parenthesis 9 minus 1 right parenthesis left parenthesis 7 right parenthesis equals 51
Solve for g. Make sure to use scrap paper to show your work.
( 144 + 6 x 8 ) ÷ 3 = g
Answer:
g=64
Step-by-step explanation:
(144+6×8)÷3=g
144+48/3=g
192/3=g
64=g
g=64
Answer:
g = 64
Step-by-step explanation:
(144 + 6 * 8) / 3 = g
g = (144 + 6 * 8) / 3
g = (144 + 48) / 3
g = 192 / 3
g = 64
2/10 + 6/100 = ?
A: 8/10
B: 8/100
C: 26/10
D: 26/100
Answer:
d
Step-by-step explanation:
It snowed 3.4 inches on Monday and 2.92 inches on Tuesday. How much did it snow on Monday
and Tuesday combined?
Answer:
6.32 in.
Step-by-step explanation:
2.92 + 3.4 = 6.32
Answer: 6.32 inches
.........................
solve for x
thank you
Please help, my computer is about to die and this is due in a few minutes. Will mark brainlist if correct
Answer:
x = 1.5
Step-by-step explanation:
Here, we want to get what x is
To arrive at the answer for x, we are going to use an important circle theorem equation
We have this as;
lh^2 = lj * lk
from the question;
lh = 1
lj = 0.5
lk = (0.5 + x)
Thus;
1^2 = 0.5(0.5 + x)
1 = 0.25 + 0.5x
0.5x= 1-0.25
0.5x= 0.75
x = 0.75/0.5
x = 1.5
Write an equation of the line that passes through the given point with the given slope
Answer:
B. 1x-3
Step-by-step explanation:
slope is m = 1
y-int = (0, -3)
Help me fast plsssss
Answer:
B. 78.5cm²
Step-by-step explanation:
Area of circle:
[tex]\pi[/tex]r²=[tex]\pi[/tex]10²=314.16
Area of shaded part:
314.16/4=78.54
Who can solve and attach a pic so I can write down how I got the answer
48 ? (-8) = (-6) please help with this
Answer:
Division sign
Step-by-step explanation:
The average speed of an airplane is 550 miles per hour.
Create an equation to represent the distance, d, in miles, that the airplane travels after t hours at the average speed.
Answer:
3300mi ÷ 550 mi/hr =6 hours
give me brainly or heart if it helped!
someone please help me
2\0.1 x 10\10 = it would help me a lot
Answer:
The answer is1 thank you
i need help with sum of my algebra hw assignments
Answer:
B
Step-by-step explanation:
Those lines both make up the tip of the triangle figure...
5 grams =
centigrams
Answer:
500
Step-by-step explanation:
a centigram is 100 so 5x100=500
Answer:
Its____, you multiply the mass by 100, because its twice as many centigrams-
Step-by-step explanation:
okay so 5grams times 100centigrams is 500centigrams
Theirs your awnser yw
500 is your awnser :)))))HELP HELP HELPPPPP PLEASEEE
Answer:
A
Step-by-step explanation:
1/2f
Answer:
A
the first option
Step-by-step explanation:
The radius of the Ferris wheel is shown. Which is the circumference of the Ferris wheel, rounded to the nearest foot?
Answer:
785 ft
Step-by-step explanation:
Please find attached an image of the Ferris wheel used in determining the answer to this question
The circumference of a circle can be described as the linear distance round the circle
The circumference of a circle = 2nr
n = 3.14
r = radius
2 x 3.14 x 125 = 785 ft
Solve for x. The triangles in each pair are similar.
Answer:
...............................
Hank is going on a trip. He must pack two complete outfits consisting of one shirt, one pair of pants, and one pair of shoes. In his closet, Hank has 4 shirts, 2 pairs of pants, and 2 pairs of shoes.
How many different combinations of two complete outfits can Hank pack from his closet? (Assume that the outfits have no common elements.)
A. 48
B. 13
C. 16
D. 256
Answer:
C. Is i think the answer( im not perfect dont judge)
Step-by-step explanation:
안녕하세요 나쁜 소식은 나를 위해하지 아니 아니 나를 위해 감사f요 나쁜 소식 yiu 나를 위해 하지 감사
Answer:
A. 48
Step-by-step explanation:
4x4=16
2x2=4
2x2=4
16+4+4=24
24x2=48
Therefore I think it is 48.
DISCLAIMER
(I could be wrong so this is not with 100% satisfaction)
Urban rail systems have been proposed to alleviate traffic congestion, but results in many cities have been cited as evidence that this approach to traffic management is ineffective. For example, a U.S. city that opened three urban rail branches experienced a net decline of 3,100 urban rail commuters during a period when employment increased by 96,000. Officials who favor urban rail systems as a solution to traffic congestion have attempted to counter this argument by noting that commuting trips in that city represent just 20 percent of urban travel.
The response of the officials to the claim that urban rail systems are ineffective is most vulnerable to criticism on the grounds that it
A) presents no evidence to show that the statistics are incorrect
B) relies solely on general data about U.S. cities rather than data about the city in question
C) fails to consider that commuting trips may cause significantly more than 20 percent of the traffic congestion
D) fails to show that the decline in the number of urban rail commuters in one U.S. city is typical of U.S. cities generally
E) provides no statistics on the use of urban rail systems by passengers other than commuters
Answer:
C) fails to consider that commuting trips may cause significantly more than 20 percent of the traffic congestion
Step-by-step explanation:
The correct option is - C) fails to consider that commuting trips may cause significantly more than 20 percent of the traffic congestion
Reason -
Option A is incorrect because the statistics can not be incorrect.
Option B is incorrect because they are not talking about the city.
Option C is correct because Urban rail reduces congestion.
Option D is incorrect because the opposers cited the example of one city and the supporters are presenting evidence in the case of that city itself.
Option E is incorrect because they are providing an explanation for why the commuters data given by opposers is not relevant. The opposers talked about commuters.
A ladder leans against a building that has a wall slanting away from the ladder at an angle of 96 degrees with the ground. If the bottom of the ladder is 23 feet from the base of the wall and it reaches a point 52 feet up the wall, how tall is the ladder to the nearest foot?
Please quick and work shown
Answer:
hm? is there any picture that they gave you or no?
Step-by-step explanation:
help me please this is due in a couple minutes
Answer:
v=0.79x+3.99
f=1.89x+5.49
combined cost: 2.68×+9.48
Nate downloaded a free virus detection program, which reported that his computer is infected with a virus. The editors of a tech magazine reviewed the effectiveness of the free program by running it on 500 computers, with 8% of those computers known to be virus-infected. Their findings are summarized in the two-way table. Virus Reported Virus not Reported Infected 28 12 Not Infected 94 366 Which statement is supported by the data? A. The magazine's review suggests Nate should trust the program's report because the probability that the scan result is a false positive is only 7.11%. B. The magazine's review suggests Nate should use a different detection program because the probability that the scan result is a false positive is 77.05%. C. The magazine's review suggests Nate should use a different detection program because the probability that the scan result is a false positive is 22.95%. D. The magazine's review suggests Nate should use a different detection program because the probability that the scan result is a false positive is 92.89%.
Answer: 77.05%
Step-by-step explanation:
.
The magazine's review suggests Nate should use a different detection program because the probability that the scan result is a false positive is 77.05%.
From the question we are told that:
Sample size n=500
Know Virus infection r=8\%
The data can be represented in the Table below a
[tex]\begin{tabular}{lllll}S/N & Reported & Not reported & Total \\Infected & 28 & 12 & 40 \\Not Infected & 28 & 36&460\\Total &122&378&500\\\end{table}[/tex]
Therefore the False Positive can be Mathematically represented as
[tex]FP=\frac{94}{122}[/tex]
[tex]FP=0.7705[/tex]
[tex]FP=77.05\%[/tex]
In conclusion we can say that The magazine's review suggests Nate should use a different detection program because the probability that the scan result is a false positive is 77.05%
Therefore
Option B is correct
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A magician showed a magic trick where he picked one card from a standard deck. Determined what the probability is that the card will be a red color or a queen card?
Answer:
7 / 13
Step-by-step explanation:
The number of cards in a standard deck = 52
Number of red cards in a deck = 26
Number of queens in a deck = 4
Selecting a card at random ;
Probability of picking a red card ;
P(red card) = number of red cards / number of cards in deck
P(red card) = 26 / 52
P(queens card) = number of queens / number of cards in deck
P(queens card) = 4 / 52
Number of red queen cards = (red n queen) = 2
P(red or queens card) = P(red) + P(queens) - P(red n queen)
P(red or queens card) = 26/52 + 4/52 - 2/52
= (26 + 4 - 2) / 52
= 28 /52
= 7 / 13
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Answer:
the equation used to determine male and female athletes can be C.x+y=127
x=y+23
Answer:
c
Step-by-step explanation:
a class of 225 students,80 of them study Arabic only and 125 study french only. How many study both subjects.(venn diagram)
Answer:
20
Step-by-step explanation:
225-80=145
145-125=20
3(x+6)=24 I need help to find x
Answer:
[tex]\boxed{\bold{x \ = \ 2}}[/tex]Explanation:
3(x + 6) = 24
Simplify both sides of the equation3(x + 6) = 24
(3)(x) + (3)(6) = 24 (Distribute)
3x + 18 = 24
Subtract 18 from both sides3x + 18 − 18 = 24 − 18
3x = 6
Divide both sides by 33x / 3 = 6 / 3
[tex]\bold{x \ = \ 2}[/tex]Answer:
x = 2
Step-by-step explanation:
Remeber this rule: PEMDAS
Even though parantheses comes first, we must take away 3 By dividing (since 3 is currently multiplying with x+6). Picture it like a ‘tail,’ and you must take the tail away first. so it would look like this:
3 ÷ 3 (x+6) = 24÷3
3 ÷ 3 cancels out, and 24 ÷ 3 equals 8, so now your equation becomes:
x + 6 = 8
now, we subtract 6 (since it is adding with x)
x + 6 - 6 = 8 - 6
positive 6 and negative 6 (aka 6-6) cancel out, and 8 - 6 = 2, so x = 2
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55 Points | Giving Brainliest To Correct Answer | Please Give Explanation | Reporting Incorrect Answers
Answer:
numbef 1 false because one dot equals two students
number 2 flase because all the dots add up to 21 and for eight students there are 4
number 3 true because the amount is eight students and on 7 inches the are four students
you have on your own or just share your thoughts about it in the comments then i can come up with something.
Answer: the answer is A
Step-by-step explanation:
PLEASE GIVE ME A GOOD ANSWER FOR THIS PAGE THIS WILL BE 25 PT AND HOPEFULLY IF SOMEONE IS NICE ENOUGH to put a second answer so I can give a brainliest ^-^
Answer:
Wait where's the question?