What is the perimeter of the plot of land rounded to the nearest tenth of a foot?
Answers
Applying the distance formula, the perimeter of the plot of land, rounded to the nearest tenth, is: 482.8 ft.
What is the Distance Formula?Distance formula is given as: [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex].
Name the coordinates of the plot of and as follows:
A (0, 120)
B (140, 100)
C (140, 20)
D (0, 0)
Perimeter of the plot of land = AB + BC + CD + AD
AD = |120 - 0| = 120 ft
BC = |100 - 20| = 80 ft
Use the distance formula to find AB and CD:
AB = √[(140−0)² + (100−120)²]
AB = √20000
AB = 141.4 ft
CD = √[(140−0)² + (20−0)²]
CD= √20000
CD = 141.4 ft
Perimeter of the plot of land = 141.4 + 141.4 + 120 + 80 = 482.8 ft.
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Related Questions
In which function is x = 2 mapped to 32?
O 5x)=-3x4-4
O g(x) = 4(X+3)2-68
• A(x) = 3x
O Jx) = 2x-62
Answers
Option B
Verification:-
Find g(2)
4(x+3)²-684(2+3)²-684(5)²-684(25)-68100-6832Verified
The average cost of 2 storybooks was 2.45. One of the books cost 2.80. Find the cost of the other book
Answers
Answer:
The answer is simply 26,25/3 which gives that each book costed 8,75 dollars assuming of course that all books have the same price.
Someone please help me?
Answers
Answer:
43
Step-by-step explanation:
80-37 = 43
Which best describes the relationship between the lines with equations -9x+9y=1 and 7x+2y=4
Answers
Using the slope of each of the lines, the best statement that describes the their relationship is that they are: neither perpendicular nor parallel.
What is the Slope of Parallel and Perpendicular Lines?The slope of parallel lines are the same, while that of perpendicular lines are negative reciprocals.
Given the two lines with the following equations:
-9x+9y=1
7x+2y=4
Rewrite both in slope-intercept form as y = mx + b to determine the slope of each line:
-9x + 9y = 1
9y = 9x + 1
y = 9x/9 + 1/9
y = x + 1/9 (slope = 1)
7x + 2y = 4
2y = -7x + 4
y = -7x/2 + 4/2
y = -7/2x + 2 (slope = -7/2).
The slope of both lines are different, so they are not parallel. So also, their slopes are not negative reciprocals.
Therefore, they are neither perpendicular nor parallel.
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In this equation f(x) = 3x -15, what is y if x is 9?
*
Answers
Answer:
y = 12
Step-by-step explanation:
To solve this equation... The function is basically:
y = 3x - 15
So by substituting in x=9:
y = 27 - 15 = 12.
y = 12
Hope this helps.
Answer:
y = 12
Step-by-step explanation:
f(x) = y, so to find y, we jut need to substitute 9 for all the x-values in the equation:
f(9) = 3(9) - 15
Simplify:
f(9) = 27 - 15
f(9) = 12
Since f(x) = y
y = 12 when x is 9
Hope this helped!
A square with a length of 4 inches is cut in half diagonally. What is the area of each triangle formed by this cut?
Answers
You can come to this conclusion by finding that the area of your square is 16 sq. inches, divide that by 2 and you get 8 sq. inches!
Please help with work shown will give accommodations!!!
Answers
Answer:
(E) < BDE = 2x + y.
Step-by-step explanation:
As triangle ABC is isosceles the 2 base angles are equal.
Therefore m < BAC = x.
Consider triangle ABD:
m < BDE = m < BAC + m < ABD ( external angle of a triangle theorem)
So < BDE = x + x + y = 2x + y.
HELPPPPPPPPPPPPPPPPP
Answers
Length=5
Width=4
Height=2
Solution
A=2(wl+hl+hw)=2·(4·5+2·5+2·4)=76
A salesman earns $4 commission on all the merchandise that he sells. Last month he sold $9000
worth of merchandise. How much commission (in dollars) did he earn last month?
Answers
Answer:
2250
Step-by-step explanation:
In this problem, you do 9000/4 because he earns $4 commissions, and that will give you 2250.
6. Two sides of a right triangle are 8 and 12. Find the hypotenuse
Answers
Answer:
4√13 inches.
How To Solve
a2 + b2 = c2
82 + 122 = c2
64 + 144 = c2
208 = c2
√208 = √c2
√16√13 = c
4√13 inches = c
What is the solution to the given inequality? 1/2-1/4x>-1/4
Answers
-1/4 x+1/2 ≥ -1/4
Step 2: Subtract 1/2 from both sides.
-1/4 x+1/2 -1/2 ≥ -1/4 - 1/2
-1/4 x ≥ -3/4
Step 3: Multiply both sides by 4/(-1).
(4/-1)*(-1/4 x) ≥ ( 4/-1)*(-3/4)
The final answer is: x ≤ 3
Hope that helps you<3
Answer:
x ≤ 3
Step-by-step explanation:
[tex]\dfrac{1}{2}-\dfrac{1}{4}x \geq -\dfrac{1}{4}[/tex]
Subtract 1/2 from both sides:
[tex]\implies \dfrac{1}{2}-\dfrac{1}{4}x-\dfrac{1}{2} \geq -\dfrac{1}{4}-\dfrac{1}{2}[/tex]
[tex]\implies -\dfrac{1}{4}x \geq -\dfrac{3}{4}[/tex]
Multiply both sides by 4:
[tex]\implies -\dfrac{1}{4}x \cdot 4 \geq -\dfrac{3}{4} \cdot 4[/tex]
[tex]\implies -x \geq -3[/tex]
Divide both sides by -1 (remembering to flip the sign):
[tex]\implies \dfrac{-x}{-1} \geq \dfrac{-3}{-1}[/tex]
[tex]\implies x \leq 3[/tex]
The number of months a group of middle-aged men have been on a certain heart medication is normal
distributed with a mean of 8 months and a standard deviation of 2 months. Approximately what percentage
of the men have been taking the medication for between 6 to 8 months?
50%
16%
34%
68%
Answers
Answer:
34 %
Step-by-step explanation:
One standard deviation below ( 2 months) to the mean
covers approx 34.1 %
A total of 750 tickets were sold for the school play. They were either adult tickets or student tickets. There were 50 more student tickets sold than adult tickets.
How many adult tickets were sold?
1 adult tickets
х
5
?
Answers
Answer:
350 adult tickets were sold.
Step-by-step explanation:
Let's set up some values:
x = adult tickets
x + 50 = student tickets, since there were 50 more student tickets than adult tickets.
Now, let's set up our equation. If these two values add up to 750 tickets, then we can conclude the following:
(x) + (x + 50) = 750
2x + 50 = 750
2x = 700
x = 350 adult tickets. This means there were 400 student tickets sold.
The ratio of the surface areas of two spheres is 1:9.
a) What is the ratio of the lengths of their radil? What is the ratio of their volumes?
b) If the volume of the smaller sphere is 64 cubic inches, what is the volume of the larger sphere?
in3
Answers
Answer:
b
Step-by-step explanation:
After being involved in a car accident last month, Thomas' insurance company has increased his annual premium by
$398.37. Approximately what change will Thomas see on his future monthly statements as a result of the change?
Show work.
Answers
The approximate change that Thomas will see on his future monthly statements as a result of the change is; $33.1975
How to Calculate Monthly Insurance?We are told that Thomas' insurance company has increased his annual premium by $398.37.
Now, the premium above is the change in his annual premium. Thus, to find the change in his monthly premium, we just divide by 12 months to get;
Change in Monthly statements = $398.37/12
Change in Monthly statements = $33.1975
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A rectangular prism and its net are shown below.
(All lengths are in feet.)
Answers
The volume of the rectangular prism is 180 ft³, From the net of the prism, A = 10 feet, B = 4 feet, C = 6 feet and D = 3 feet.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The volume of the rectangular prism = length * width * height = 10 * 6 * 3 = 180 ft³
From the net of the prism, A = 10 feet, B = 4 feet, C = 6 feet and D = 3 feet.
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find x. not sure what it is
Answers
Answer:
x=29°
Step-by-step explanation:
angle measure of circular arc=180-122=58°
x=1/2×58=29°
Question 2 of 10
Which of the following geometric objects occupy one dimension?
Check all that apply.
A. Line
B. Triangle
C. Plane
D. Segment
E. Ray
F. Point
Answers
A. Line
D. Segment
E. Ray
Step-by-step explanation:Math dimensions include length, width, and height (in that order). The dimension that an object occupies is dependent on how many different measurements, aka dimensions, an object has.
0th Dimension
The first dimension is actually the zeroth dimension. This dimension includes objects that do not have any measurements. A point does not have a length because it only occupies one spot on a plane.
The 0th dimension includes:
Point1st Dimension
The next dimension, the 1st dimension, has only length. This means the object can travel across the x-axis, but it can only go in one direction.
The 1st dimension includes:
LineSegementRay2nd Dimension
For this question, the last dimension is the 2nd dimension. The 2nd dimension has both length and width. This means that the object occupies both the x and y-axis.
The 2nd dimension includes:
TrianglePlane3rd Dimension
The 3rd dimension is not included in the question or the answer choices but is still important. The 3rd dimension has length, width, and height. This occupies the x, y, and z-axis and cannot be graphed on a regular geometric plane. The 3rd dimension is graphed in a geometric space.
The 3rd dimension includes:
CubePrismWhat is the range -4 9 1 -9 0 0 5 3 2
Answers
The range is 18
What is the range of the given numbers?
The Range (Statistics) The Range is the difference between the lowest and highest values. Example: In {4, 6, 9, 3, 7} the lowest value is 3, and the highest is 9. So the range is 9 − 3 = 6. It is that simple!
9 - -9 = 18Therefore, The range is 18
Which statement about the graph of the quadratic function is NOT true?
Answers
Answer:
2nd option
Step-by-step explanation:
the graph has a minimum value of - 6 ( U ) not a maximum
Answer:
2nd option
Step-by-step explanation:
The graph has a minimum of -6, hence the 2nd option, which states the maximum is 3 is incorrectFind the 60th term of the following sequence.
8, 16, 24. ...
Answers
Answer:
Step-by-step explanation:
Remark
You want the 60th term of the arithmetic (?) sequence given.
Formula
L = a + (n - 1)*d
Givens
L = ?
a = 8
d = 8
n = 60
Solution
L = 8 + (60 - 1)*8
L = 8 + 60*8 - 8
L = 480
Answer
The 60th term is 480
Answer:
Step by step explanation :
As we know
[tex]\:\bf\boxed{an\:=\:a\:+\:(n\:-\:1)\:d}[/tex]
where,
an = the nth term in the sequence
n = the term
d = common difference
a = first term of the AP.
Here,
an = a60
n = 60
d = 16 - 8 = 8
a = 8
Now,
[tex]\:\mathsf{a60\:=\:8\:+\:(60\:-\:1)(8)}[/tex]
=> [tex]\:\mathsf{a60\:=\:8\:+\:(59)(8)}[/tex]
=> [tex]\:\mathsf{a60\:=\:8\:+\:472}[/tex]
=> [tex]\:\bf{a60\:=\:480}[/tex]
Therefore the 60th term of the AP is 480.
Laurie says that 2+3 x 2+3= 13. Ray says that 2+3 x 2+3= 11. Who is correct
Answers
Answer:
Ray
Step-by-step explanation:
Ray is correct . Have a nice day :)
Decide if each data set might produce one or more gaps when represented by a histogram. For each data set that you think might produce gaps, briefly describe or give an example of how the values in the data set might do so.
a. The ages of students in a sixth-grade class.
b. The ages of people in an elementary school.
c. The ages of people eating in a family restaurant.
d. The ages of people who watch football.
e. The ages of runners in a marathon.
Answers
There would be a gap in the age of people in an elementary school.
Which option would produce one or more gaps ?
There is a gap in a histogram when there is no data point represented in the data point.
There would be no gap in the ages of students in the sixth grade because their ages would have a range. There would be a gap in the age of people in an elementary school because there would be the ages of the students then the ages of teachers.
The ages of people eating in a family restaurant would have no gap because all ages would be represented. There is no age limit on those that can run a marathon, thus, the age of runners would have no gap.
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a.
16. Which expression is equivalent to
4(b + 11)
a. 4b +44
b. 4b - 44
4b + 11
d. b + 44
C.
Answers
Answer: It would be 4b+44
Step-by-step explanation:
This is the distributive property! so a(b+c)=ab+ac
In this case–4b+44!
Answer:
A. 4b + 44
Step-by-step explanation:
To simplify the expression, we can distribute the 4 to each term in the parenthesis, which means to multiply 4 be each term.
4(b) + 4(11) = 4b + 44
Therefore, the correct option is A.
hope this helps!
What have the Mars rovers discovered about Mars?
A. The crust of Mars contains 2 chemical elements never discovered before.
B. It had similar volcano activity and crust composition to Earth.
C. It has polar ice caps that could become an ocean if Mars were to warm up in the future.
D. The atmosphere of Mars is twice as thick as scientists predicted it would be.
Answers
Answer:D. The atmosphere of Mars is twice as thick as scientists predicted it would be.
Step-by-step explanation:
9 boxes of cookies cost $38.07. How many boxes did Gina buy if she spent $16.927
please help me asap
Answers
A circular swimming pool has a radius of 8
feet. Which measurement is closest to the area
of the swimming pool in square feet?
Answers
Answer: 706.5
Step-by-step explanation:
no promisees that its right
Y=4x+1 function rule table
Answers
Answer:
the table of the function is below
Step-by-step explanation:
Paul has a standard deck of cards. What is the probability that he will choose a 2?
Answers
Answer:
Step-by-step explanation:
The deck is divided into 4 different kinds of cards
clubsdiamondsHeartsSpadesEach kind of card has a 2
So there are 4 twos in a standard deck of cards.
Answer:
P(2) = 4/52P(2) = 1/13P(2) = 0.07692ctions: Write your answer in the box. Do not use spaces
What is the value of the following expression if x 22: "five times a number
decreased by 2"?
Answers
Answer:
5x - 2
Step-by-step explanation:
if x is your number its 5 lots of your number - 2
