The total area of the figure is equal to 192 square meters. The correct option is A.
What is an area?The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.
Calculate the area of the rectangle by the formula written below,
Area of the rectangle = L x W
Area of the rectangle = 8 x 18
Area of the rectangle = 144 square meters
The area of the triangle will be calculated by the formula written as,
Area of triangle = 1/2 x B x H
Area of triangle = 1/2 x ( 18 - 6 ) x 8
Area of triangle = 1 / 2 x 12 x 8
Area of triangle = 48 square meters
Total area = 144 + 48
Total area = 192 square meters
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Janet plans to save $22.50 each week until she has enough to buy a $180 bicycle. After how many weeks will she have enough money for a bicycle.
Answer:
Step-by-step explanation:
8weeeks bc 22.50*8=180
solve the system by elimination 4x-y=2 and x+3y=7
Answer:
x=1 y=2
Step-by-step explanation:
Isolate x for 4x -y=2: X=2+y/4
Substitute x= 2+y/4
(2+y/4 )+3y=7
simplify 2+13y/4=7
Isolate y for 2+13y/4=7
y=2
Forx= 2+y/4
Substitute y = 2
x= 2+2/4
Simplify
X=1
Given f(x) and g(x) = f(x) + k, use the graph to determine the value of k. Graph of two lines. f of x equals 1 over 3 x plus 2 and g of x equals 1 over 3 x plus 5. 2 3 4 5
i believe its b but im not sure i just took the test waiting on teahers
feadback
GED Problem
Dan can ship up to 4 pounds for $10. The contents of
a package weigh 2.8 pounds. How many more pounds
can Dan add to the package without paying more for
shipping?
(A) 0.2
(B) 1.2
(C) 6.8
(D) 7.2
Help pls George is building a fence around a rectangular dog run. He is using his house as one side of the run. The area of the dog run will be 240 square feet. The length of the run is 30 feet, and the width is (30 minus x) feet. The diagram below shows his plan.
Recall the formulas for area and perimeter: A = lw and P = 2l + 2w.
The width of the dog run is 20 feet.
In the given problem, the length of the dog run is given as 30 feet.
The area of the dog run is also given as 240 square feet.
Using the formula for the area of a rectangle (A = lw), we can solve for the width (w).
Rearranging the formula, we have w = A / l.
Plugging in the values, we get w = 240 / 30 = 8 feet.
Since the width is given as (30 minus x) feet, we can set up an equation:
30 - x = 8. Solving for x, we find x = 22.
Therefore, the width of the dog run is 20 feet (30 - 22 = 8).
In this problem, the length and width of the dog run are defined by the dimensions of the fence being built around it.
The area of the dog run is given as 240 square feet.
By using the formula for the area of a rectangle, we can solve for the width. We are also given that the length is 30 feet.
Setting up an equation with the given width (30 minus x) and solving for x, we find that x is equal to 22.
This means that the width of the dog run is 8 feet. The main answer to the problem is that the width of the dog run is 20 feet (30 - 22 = 8).
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If a tree in a 1 in.: 5ft scale drawing is 12 inches tall, how tall is the actual tree?
Nia plans to put enough money in the bank each week for 100 weeks so that the amount in the bank is always proportional to the week number. On week 8, she had $20.00. On week 12, she had $30.00. How much money will be in the savings account on week 100?
Answer:
$40
Step-by-step explanation:
2 1/2 times the week
8 x 2.5 = 20
12 x 2.5 = 30
40 x 2.5 = 100
Answer:
40$
Step-by-step explanation:
because 30.00 and 20.00 equal 50$ and you would subtract the quations and get 40$
A vacant lot is being converted into a community garden. The garden and a walkway around its perimeter have an area of 648 square feet. Find the width of the walkway if the garden measures 12 feet wide by 15 feet long.
The width cannot be negative, the width of the walkway is 6 feet. The total area of the garden and the walkway is given as 648 square feet. We know the area of the garden is length multiplied by width, which in this case is 12 feet by 15 feet, so the garden area is\(12 \times 15 = 180\) square feet.
To find the area of the walkway, we subtract the garden area from the total area. Therefore, the area of the walkway is 648 - 180 = 468 square feet.
The walkway surrounds the garden on all sides, so its length and width will be greater than the corresponding dimensions of the garden.
To calculate the width of the walkway, we can use the formula for the area of a rectangle, which is length multiplied by width. In this case, the length is 12 + 2x (twice the width of the walkway) and the width is 15 + 2x.
So, we have the equation\((12 + 2x) \times (15 + 2x) = 468\).
Expanding and rearranging the equation, we get\(4x^2 + 54x - 228 = 0.\)
Solving this quadratic equation using factoring, completing the square, or the quadratic formula, we find that x = 6 or x = -9/2.
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Completing the square can be used to transform x²-6x+8=0 into the form (x - p)²= 9
What are the values of p and q?
Answer:
x² - 6x + 8 = 0
or, x² - (4+2)x + 8 = 0
or, x² - 4x - 2x + 8 = 0
or, x(x-4) -2(x -4)= 0
or , (x-4) (x-2) = 0
either,
x - 2 = 0
x = 2
OR,
x - 4 = 0
x = 4
next ,
x-p = 9
or, 2-p = 9
p= -7
either,
x-p = 9
or, 4 - p = 9
or, p= -5
hope this will help you
Please help solve this for me
Answer:
i believe the answer would be option D
Step-by-step explanation:
what's the range of 7,5,7,8,6
Answer:
3
Step-by-step explanation:
Define the range of a list of numbers.
I'm not %100 percent certain because I learned that a long time ago.
Answer: 3
Step-by-step explanation:
The range is the difference between the largest and smallest numbers. The midrange is the average of the largest and smallest number.- source
SOO the first thing we have to do is find the smallest and largest numbers : 5 (smallest), 8 (largest).
Then we have to substract5 from 8 (8-5= 3)
The range is 3!
If you need extra help you can go to the site khanacademy as they give educational videos and practice on how to do the standards. Ever since I started using it I have become an A students.
I hope this helps and may God bless you! Have a nice day, bye!
Is the proportion true or false? Why? 3/6=4/8
To check if a proportion is true, we simply have to use "cross-multiplication", that is in our case multiply the second denominator times the first numerator, and the second numerator by the first denominator, and see if we get an equality:
3 / 6 = 4 / 8
Then cross multiplying:
3 * 8 = 4 * 6
24 = 24
We can confirm that this proportion is TRUE because we got the same value on the left and on the right of the equal sign.
1) A student has a Math placement of Math 111, Math 100 and Math 102+. What course should the student first start with according to their placement results to then continue to get to Math 103E?
The placement results provided, the student should start with Math 100.
The placement results indicate that the student has placements for Math 111, Math 100, and Math 102+. Math 111 typically corresponds to a higher-level course than Math 100, and Math 102+ implies a placement beyond Math 102.
To progress towards Math 103E, it is essential to follow the recommended course sequence. Usually, Math courses are designed to build upon previously learned concepts and skills. Starting with Math 100 would provide the foundational knowledge necessary to succeed in subsequent courses.
Therefore, the student should first start with Math 100, and upon successful completion, they can proceed to Math 103E. It is important for the student to consult with their academic advisor or the mathematics department at their institution for specific course placement and sequencing information to ensure they are following the appropriate path.
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A job has a normal time of 12 minutes, a performance rating of 0.80, and an allowance of 20 percent of job time. The standard time for this job in minutes is:_______
a. 11.52.
b. 12.
c. 14.4.
d. 15.
e. depends on the number of cycles observed.
Solution :
The standard time for doing a job in minutes is given by :
Standard time = Normal time + normal time x allowance factor.
Here, it is given that ,
Allowance factor = 20%
= 0.20
Normal time of doing a a job = 12 minutes.
Therefore,
Standard time = Normal time + normal time x allowance factor
Standard time = 12 + 12 x 0.20
= 12 + 2.4
= 14.4
Thus, the standard time for doing the job is 14.4 minutes.
Investors are buying a studio apartment for $320,000. Of this amount, they have a down payment of $80,000. Their down payment is what percent of the purchase price?
Answer:
25%
Step-by-step explanation:
This dot plot is not symmetric, and the data set has two
extreme values.
.
2
3
4
6
7
8
9 10
What is the best measure of center for this dot plot?
A. The median
B. The mean
C. The mean absolute deviation (MAD)
D. The interquartile range (IQR)
Answer:
um sorry if I'm wrong....C?
Step-by-step explanation:
Solve |x+4|=9. ..............
In a random sample of 1500 Arts majors who are graduating from the University of Western Cape this summer (2021), we observe that 1380 have already found a job.
What is the proportion of students that have already NOT found a job (rounded off to two decimals)? [3]
The proportion of Arts majors who have not found a job is 8%, rounded off to two decimal places.
To find the proportion of Arts majors who have not found a job, we first need to calculate the total number of students who have not found a job.
The total number of students who have not found a job would be 1500 - 1380 = 120.
To calculate the proportion of students who have not found a job, we can divide the number of students who have not found a job by the total sample size:
The proportion of students who have not found a job = 120 / 1500 = 0.08 or 8%.
Therefore, the proportion of Arts majors who have not found a job is 8%, rounded off to two decimal places. This suggests that a majority of the graduating Arts majors from the University of Western Cape have found employment before their graduation.
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a new social media sit is increasing its user base by approximately 4% per month. If the site currently has 35.930 users, what will the approximate user base be 10 months from now?
Answer:
The approximate user base of the social media site 10 months from now would be approximately 52,374.
Step-by-step explanation:
To calculate the approximate user base of the social media site 10 months from now, considering a 4% increase per month, we can use the following steps:
1. Calculate the monthly growth factor: 1 + (4% / 100) = 1 + 0.04 = 1.04
2. Apply the growth factor to the current user base for each month:
Month 1: 35,930 * 1.04 = 37,387.2 (approx.)
Month 2: 37,387.2 * 1.04 = 38,868.49 (approx.)
...
Month 10: Previous Month * 1.04
By repeating this calculation for each month, we can determine the approximate user base 10 months from now.
Month 1: 37,387.2
Month 2: 38,868.49
Month 3: 40,391.33
Month 4: 41,957.61
Month 5: 43,569.34
Month 6: 45,228.24
Month 7: 46,936.32
Month 8: 48,695.44
Month 9: 50,507.45
Month 10: 52,374.40 (approx.)
Therefore, the approximate user base of the social media site 10 months from now would be approximately 52,374.
a valley is 94 feet below sea level. what is the absolute value of the elevation difference between the valley and the sea level?
The absolute value of the elevation difference between the valley and sea level is 94 feet.
The absolute value of a number is the distance of that number from zero on the number line. It represents the magnitude or size of a quantity without considering its direction. In the given scenario, we are dealing with the elevation difference between a valley and sea level.
The valley is described as being 94 feet below sea level. To find the absolute value of the elevation difference, we need to ignore the negative sign and consider the magnitude of the difference.
In this case, since the valley is below sea level, the elevation difference is negative. However, when we take the absolute value, we disregard the negative sign and focus solely on the numerical value of the difference.
By applying the absolute value to the elevation difference of -94 feet, we remove the negative sign and consider only the magnitude. Thus, the absolute value of -94 is simply 94.
Therefore, the absolute value of the elevation difference between the valley and sea level is 94 feet. It indicates that the valley is 94 feet away from sea level in terms of elevation, regardless of the direction (above or below sea level). The absolute value provides a measure of the magnitude of the difference while disregarding the direction or sign associated with it.
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21.5 sq. Cm
43 sq. Cm
100 sq. Cm
68.6 sq. Cm
\( \large \boxed{ \boxed{ \mathrm{21.5 \: \: cm {}^{2}} }}\)
Solution :By Observing the Above figure, we can conclude that the area of shaded region is equal to the Area of Square minus the sum areas of two equal semicircles (since their diameters are equal)
let's solve for area of square :
\(\longrightarrow \: \mathrm{side {}^{2} }\)
\(\longrightarrow10 {}^{2} \)
\(\longrightarrow \mathrm{100 \: cm {}^{2} }\)
Now,
Radius of the both semicircles measure :
\(\longrightarrow \dfrac{10}{2} \)
\(\longrightarrow5 \: cm\)
now, let's solve for their area
\( \longmapsto 2 \times \dfrac{\pi {r}^{2} }{2} \)
(Since, there are two semicircles)
\(\longrightarrow3.14 \times 5 \times 5\)
\(\longrightarrow78.5 \: cm {}^{2} \)
Area of Shaded region = Area of Square - Area of Semicircles, that is
\(\longrightarrow100 - 78.5\)
\(\longrightarrow \mathrm{21.5 \: cm {}^{2} }\)
\(\large\mathfrak{{\pmb{\underline{\orange{hope \: it \: helps \: you \: }}{\orange{.....}}}}}\)
Divide (x2 + 8x + 1) ÷ (x – 4) using synthetic division.
Answer:
I'm sorry i cant help you rn, download symbolab or math solver, I'm sure you will find your answer g
When you barter, you must ______ in order to buy something ?
Answer: exchange
Step-by-step explanation:
Answer:
Trade it for something else.
Step-by-step explanation:
when bartering, you trade for items you want, and give away items you don’t want. You should also consider if the item you are trading for works. Be skeptical about the things you are trading Or giving. And make sure to also to get a good trade, and not blame others for them doing a bad trade.
Hope this helps!- Artistsani
What is the Recursive relation of 1,1,5,17,71,247…
The recursive relation of the data distribution a(n) = a ( n - 1 ) x n - ( n - 1 ).
How to find the recursive relation ?A sequence of values is defined by a mathematical equation termed as a recursive relation, also known as recursive relation. It derives current value(s) through specified initial value(s) and previous value dependent rule(s). In essence, it generates numeric sequences.
Note that every individual unit can be derived by multiplying the preceding one with a rising integer, and subsequently subtracting a descending integer:
1 x 1 - 0 = 1
1 x 2 - 1 = 1
1 x 3 - 2 = 5
5 x 4 - 3 = 17
17 x 5 - 4 = 71
71 x 6 - 5 = 247
We can deduce the relation of a(n) = a ( n - 1 ) x n - ( n - 1 ).
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all graphs range from -10 through 10 ;)
Answer:B
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
First, we want to find out what is X.3x = -6 ---> x = -2
X is -2 so we want the graph point to start at -2 and from there go down to -10.Need help ASAP I’m about to go to sleep
Answer:
A. $1852.50
Step-by-step explanation:
Principal amount= P= $3, 900
Rate= r = 19% = 0.19
Time (in years) = t = 2.5
Amount after 2.5 years (A)
\(A = P(1+r t )\)
\(A = 3900 (1+ (0.19) 2.5)\)
\(A = 5,752.5\)
Total interest in 2.5 years = A-P = 5752.5 - 3900 = 1852.50
Find the lateral surface area of the figure below. Round the the nearest tenths place.
help please !
Anna is in a cave 42 feet below the cave entrance. She descends 10 feet, then ascends 15 feet. Find her new position relative to the cave entrance.
Answer:
Her new position is 37 feet below the cave entrance
Step-by-step explanation:
Let us solve the question
∵ The cave entrance is the zero position
∵ Anna is in 42 feet below the cave entrance
→ Below zero means negative
∴ Anna is in -42 feet
∵ She descends 10 feet
→ Descend means negative
∴ She is in -42 + -10 = -52 feet
∵ She ascends 15 feet
→ Ascend means positive
∴ She is in -52 + 15 = -37 feet
→ -37 means she is in below the cave entrance by 37 feet
∴ Her new position is 37 feet below the cave entrance
The product of two positive integers is 20. Find the two numbers
Answer:
1 and 20 or 2 and 10 or 4 and 5
Step-by-step explanation:
the divisors of 20 are 1 , 2 , 4 , 5 , 10 , 20
Then
20 = 1 × 20
= 2 × 10
= 4 × 5
Find the result if 24,312 is increased by 22,211.
Answer:
Step-by-step explanation:
To find the result of increasing 24,312 by 22,211, you would simply add the two numbers:
24,312 + 22,211 = 46,523
So, the result of increasing 24,312 by 22,211 is 46,523.
Answer: 46,523
Step-by-step explanation:
Line up the two numbers by their number places (making sure to put the larger number on top). The add the digits that are on top of each other until you get your answer.