The length and width of the rectangular garden is estimated as-
Length = 68 ft width= 60 ftHow to calculate perimeter of the rectangle?A rectangle's perimeter is the total length and distance of its border across all sides. The perimeter of a rectangular box is a linear measurement that is expressed in meters, feet, cm, or yards. Let us first examine the two primary characteristics of a rectangle.
A rectangle's four angles are all 90°.A rectangle's opposite sides are of equal length.The perimeter of the rectangle is given as-
Perimeter = 2(length + width)
perimeter= 256
Let the width of the rectangle be x.
Length is 8 feet longer than width, Thus,
length = x+8
Substitute the values in the formula of perimeter;
256 = 2( x+ 8+ x)
256 = 2( 2x + 8)
128= 2x + 8
120= 2x
x=60
Thus, width = 60 ft.
Length = 60 + 8 = 68 ft.
Therefore, the length and width of the rectangular garden is estimated.
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The complete question is -
A rectangular garden is fenced on all sides with 256 feet of fencing. The garden is 8feet longer than it is wide. Find the length and width of the garden.
Make a mapping diagram for the relation.
{(-3, 4), (1, 1), (3, -6), (4, -1)}
Check the picture below.
gabriel types 3 1/5 pages in 1/2 of an hour how many pages can he type in one hour
Answer:
6 2/5 pages
Step-by-step explanation:
Since we know how much he can type in half an hour, for a full hour you simply add two of the same value:
3 1/5 + 3 1/5
3+3 = 6, and 1/5 + 1/5 = 2/5
So the final answer would be 6 2/5 pages
I hope this helps :)
Aiyana draws figures JKLM and PQRS on the grid.
PART A Aiyana dilates figure JKLM to form image JK'L'M'. She uses a scale
factor of 1 and point J as the center of dilation. How are the original figure and
its image related?
(I also need help placing JK’L’M’
The relationship between the figure JKLM and it's image, J'K'L'M' following a dilation by a scale factor of 1 is that JKLM and J'K'L'M' have the same dimensions, and location
J'K'L'M' should be placed at the same lol as JKLMWhat are scale factors?Scale factors are numbers that are used to multiply a quantity to scale it by a given rate.
Part A
In order to easily describe the relationship between the image J'K'L'M' and the original figure JKLM, the point J can be taken as the origin such that the image vertices are obtained by dilating the points on the original figure in their original direction relative to J using the specified scale factor.
The coordinates of the vertices of JKLM relative to J are;
J(0, 0), K(6, 0), L(6, -6), M(0, -6)
Distance of K from J = 6 - 0 = 6 units to the right of K
Therefore, using a scale factor of 1;
Distance of K' from J = 1 × 6 units = 6 units to the rightThe distances of the vertices of square J'K'L'M' from point J are the same and in the same direction as the distances of the vertices of square JKLM from point J.
JKLM and J'K'L'M' have the same dimensions following the dilation of JKLM by a scale factor of 1The vertices of J'K'L'M' using a scale factor of 1 are therefore located at the same coordinates as the vertices of square JKLM
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Look at the simultaneous equations below.
(1)
x - 2y = 15
(2) x = 3 = 4y
a) Rearrange equation (2) to make x the
subject.
b) Using your answer to part a), solve the
simultaneous equations using substitution.
Answer:
x_2y=15
x_4y=_3
_6y=12
divide both sides by 6
y=_2
substitute y for x
In equation 1
x_2y=15
x_2 (_2)=15
x+4=15
x=15_4
x=11
can someone answer 2 1/8 x 1 7/9 =
Answer:
Exact Form: 34/9
Mixed-Number Form: 3 7/9
Step-by-step explanation:
Hope this helps.
Answer:
3 7/9
Step-by-step explanation:
2 1/8
convert mixed numbers to improper fractions
2x8+1/8 = 17/8
1 7/9
1x7+9/9 =16/9
17/8 x 16/9
Factor the number 16=8x2
17x8x2/8x9
cancel the common factor =8
=17x2/9
=34/9
convert improper fractions to mixed numbers
34/9 =3 remainder of 7
34/9 = 3 7/9
how many area codes (abc) would be possible if all three digits could be any value 1-9? question 5 options: 27 30 729 1,000
Answer:729
Step-by-step explanation:someone else said it
part a a wall is covered with 6 wood panels. each panel is a square with a side length of x feet. write an expression to represent the total area, in square feet, covered by the wood panels.
The expression that represent the total area in square feet covered by the wood panels is: 6x² feet²
The formula and procedure to solve this geometry exercise is:
A = s²
Where:
A = area of the squares = sideProblem information:
A = ?s = x feetNo. panels= 6Using the formula of the square area we get the area of 1 panel:
A(1 panel) = s²
A(1 panel) = (x feet)²
A(1 panel) = x² feet²
Calculating the total area of the 6 wood panels we get:
A(total): No. panels * A(1 panel)
A(total): 6x² feet²
What is the area?Is the measure of the space occupied by a body bounded by an environment called perimeter, the same is expressed in units of squared side. Example: ft2, m2
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Jason uses 3 1/2 cups of uncooked pasta to make a pot of macaroni and cheese. if he has 18 1/2 cups of pasta, how many pots of macaroni and cheese can jason make?
He can make 5 pots of macaroni and cheese.
What is Unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given:
Jason uses 3 1/2 cups of uncooked pasta.
He has= 18 1/2 cup of pasta
So, the numbers pots he can make
=18 1/2 ÷ 3 1/2
=37/2 ÷ 7/2
=37/2*2/7
=37/7
=5.28
= 5 pots
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83. Which statement must be true if x is a whole number greater than 1?
Determine the general solution of cos(x-30°) = 2 sin x.
Answer:
I’m not sureee
Step-by-step explanation:
Marissa says that lines a and d will eventually intersect. is she correct? explain. yes, because they are on the same plane yes, because they are perpendicular no, because they are parallel no, because they are skew
Marissa says that lines a and d will eventually intersect is a wrong statement as they are skew lines. Therefore option D is correct.
What are skew lines?A and D are both in different planes, skew lines are line that will never intersect because they are noncoplanar, meaning they are never in the same plane. If they aren't in the same plane, they can't intersect.
Two or more lines that doesn't have any intersections but they are not parallel.
Skew lines are also called as agonic lines. Since two lines in a plane must be parallel or intersect ,skew lines can only exist in three dimensions or more dimensions.
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Is the mixed number 1 1/6 rational or irrational?
Answer:
rational
Step-by-step explanation:
1 1/6 can also be expressed in the form 7/6
any number that can be expressed in a form of a/b is a rational number
Help me pleasee
Questions r in picture
[tex] \large \bf\implies\frac{12}{61} [/tex]
Step-by-step explanation:Given :[tex] \tt \frac{8}{101} , \frac{9}{91} , \frac{10}{81} , \frac{11}{71} ...[/tex]
To Find :nth termSolution :We have to add 1 in numerator and -10 in denominator because
[tex] \tt \frac{8}{101} , \frac{9}{91} , \frac{10}{81} , \frac{11}{71} ...[Given][/tex]
[tex] \frac{8 \: + \: 1}{101 \: - \: 10} = \frac{9}{91} \\\\ \frac{9 + 1}{91 - 10} = \frac{10}{81} \\ \\ \frac{10 + 1}{81 - 10} = \frac{11}{71} \\ \\ \frac{11 + 1}{71 - 10} = \frac{12}{61} ...[/tex]
The difference is 1 in numerator so we add 1 and the difference is -10 in denominator so we subtract -10.
Insert three arithmetic means between
22
and
34
.
Answer:
22,25,28,31
N=5
A1= 22
an= 35
22-34
d= 5-1
22+3=25
25+3=28
28+3=31
31+3=34
mwheheheheh
HELP, find the domain.
the domain of the graphed function is D: [-5, 3]
How to identify the domain of the function?
For a function f(x), we define the domain as the set of the inputs of the function.
So, to identify the domain, we need to look a the horizontal axis.
Doing that, we can see that the first value in the horizontal axis is x = -5, and the last value is x = 3.
Notice that in both cases we have solid dots, which means that these values do belong to the domain.
Then the domain of the graphed function is D: [-5, 3]
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If 6x/7 = 10y/9 then what dose x/y =
Answer:
x = 35y/27
y = 27x/35
. A drawing of a tree and a wall are in the image below.
24 fl
What is the height of the tree?
A. 1 foot
C. 36 feet
B. 16 feet
D. 22 feet
Height of the tree is 16ft
There is a tree and a wall.
height of the wall = 4ft
Base of the wall = 6ft
tanθ for wall = height of the wall/Base of the wall
= 4/6
= 2/3
Height of the tree be h
base of the tree = 24ft
tanθ for tree= h/24
tanθ for wall = tanθ for tree
2/3 = h/24
h=(2/3)(24)
= 16ft
Height of the tree is 16ft.
Height, altitude, and elevation all refer to the vertical distance between something's top and bottom or between a base and something above it. Height is something measured vertically, whether it is high or low.
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Simplify 4(11 - 6) + 2
Step-by-step explanation:
Distribution first y=44-24+2
Simplify y=22
Hope this helps!
If you have any other questions feel free to ask!
Answer:
22
Step-by-step explanation:
Hey there!
To solve this, you need to follow PEMDAS
We do Parenthesis first:
44 - 24 + 2
Now we can simplify:
20 + 2
22
40 . a guest orders a drink that contains 4 ½ ounces of 80-proof liquor. approximately how many drinks does this beverage contain?
Number of drinks = 3
From the question we are told that:
Ordered drink 4 1/2 ounces of 80-proof liquor
Generally,
80-proof liquor contains 40\% alcohol
Giving the drink a standard 1.5 ounce of distilled spirit
Therefore,
Number of drinks = 4.5 / 1.5
So, Number of drinks = 3
What do you mean by ounces?A number of distinct units of mass, weight, or volume are derived from the uncia, an ancient Roman unit of measurement, including the ounce, which is almost unmodified. The avoirdupois ounce, or precisely 28.349523125 g, is 116 of an avoirdupois pound and is used in both the United States and the United Kingdom. Although it is frequently used outside of the Anglosphere, it is predominantly employed in the United States to measure packaged foods and food portions, postal items, the areal density of fabric and paper, boxing gloves, and other items. Although the avoirdupois ounce is the standard unit of mass for most applications.
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38) "the quotient of a number and 2, increased
by 9 is -15"
Answer: x=48
i know the answer bc i just did it
Meri paid $19.24 for 10.5 gallons of
gas. What was the cost of one
gallon?
eight congruent equilateral triangles, each of a different color, are used to construct a regular octahedron. how many distinguishable ways are there to construct the octahedron? (two colored octahedrons are distinguishable if neither can be rotated to look just like the other.)
There are 1680 ways to construct the octahedrons.
Here,
Eight congruent equilateral triangles, each of a different color, are used to construct a regular octahedron.
An octahedron has 8 equilateral triangles.
We have to find number of ways to construct the octahedron.
What is Regular octahedron?
An octahedron is a polyhedron with eight faces. The term is most commonly used to refer to the regular octahedron, a Platonic solid composed of eight equilateral triangles, four of which meet at each vertex.
Now,
An octahedron has 8 equilateral triangles.
We have to fix 2 faces before applying the colors.
So, the first face that can be fixed for any of the 8 faces but each faces are similar.
Hence, there are 8/8 ways.
And, When we fix one face, three adjoining faces are similar.
So, we have 7 colors for the second face.
Hence, 7/3 ways
Now, we can place any color anywhere, it will be different arrangement.
So, 6! ways.
Hence, Total number of ways = (8/8) * (7/3) * 6! = 7 * 6 * 5 * 4 *2 = 1680
So, There are 1680 ways to construct the octahedrons.
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B is the midpoint of AC and E is the midpoint of BD. If A(-9, -4), C(-1, 6), and E(-4, -3), find the coordinates or D
The coordinates of point D is (- 3, - 7).
How to determine the coordinates of a endpoint of a line segment divided by a midpoint
A midpoint is a point that partitions a line segment in two parts of equal length. First, we must find the coordinates of point B by using the midpoint formula:
B(x, y) = 0.5 · A(x, y) + 0.5 · C(x, y)
B(x, y) = 0.5 · (- 9, - 4) + 0.5 · (- 1, 6)
B(x, y) = (- 4.5, - 2) + (- 0.5, 3)
B(x, y) = (- 5, 1)
And the location of point D is found by using the midpoint formula again:
E(x, y) = 0.5 · B(x, y) + 0.5 · D(x, y)
(- 4, - 3) = 0.5 · (- 5, 1) + 0.5 · D(x, y)
(- 4, - 3) = (- 2.5, 0.5) + 0.5 · D(x, y)
(- 8, - 6) = (- 5, 1) + D(x, y)
D(x, y) = (- 8, - 6) - (- 5, 1)
D(x, y) = (- 3, - 7)
The coordinates of point D is (- 3, - 7).
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Which set of numerical values represents the lower quartile, the median, and the upper quartile, in that order, of the box plot of this data set? 11, 12, 12, 13, 14, 15, 16, 18, 19, 19, 20
For the given data set the lower quartile is 12 , the median is 15 and the upper quartile is 19 .
In the question ,
the data det is given as {11, 12, 12, 13, 14, 15, 16, 18, 19, 19, 20}
the median is the central value , that is 15.
For lower and upper quartile ,
the set is divided into two halves ,
the lower half is {11,12,12,13,14}
the median of the lower half (lower quartile) = 12
the upper half is {16,18,19,19,20}
the median of the upper half(upper quartile) = 19.
Therefore , for the given data set {11, 12, 12, 13, 14, 15, 16, 18, 19, 19, 20}, the lower quartile is 12 , the median is 15 and the upper quartile is 19 .
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Julie is making a punch for her birthday party. First, she pours a 2-liter bottle of ginger ale into her punch bowl. Then, she adds two 750-milliliter bottles of grape juice. How many liters of punch does Julie make in all?
Julie will make 3.5 litres of punch
How to calculate the amount of litres ?Julie is making a punch for her birthday
She first pours 2 litres if ginger ale
She then adds 750 millilitres of grape juice
Convert 750 millilitres to litres
750/1000
= 0.75 × 2
= 1.5
Total number of litres= 1.5 + 2
= 3.5 litres
Hence Julie makes 3.5 litres of punch
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Describe the pattern, then list the next three numbers in the sequence.
4.5, 7, 12, 22, 42 __, __, __
Answer:
82 , 162, 322
Step-by-step explanation:
So basically add the number by two and then subtract that number by 2. 4.5(2)=9 9-2=7 and 7(2)=14 14-2=12 and so on
i need help on 7 and 8.
Answer:
7 is 48b-4 and 8 is mn+4m
Step-by-step explanation:
in a random sample of 77 residents of the state of california, the mean waste recycled per person per day was 1.71.7 pounds with a standard deviation of 0.360.36 pounds. determine the 99�% confidence interval for the mean waste recycled per person per day for the population of california. assume the population is approximately normal.
A simple random sample is a subset of a statistical population in which each member of the subset has an equal probability of being chosen. A simple random sample is meant to be an unbiased representation of a group.
Random sampling, or probability sampling, is a sampling method that allows for the randomization of sample selection, i.e., each sample has the same probability as other samples to be selected to serve as a representation of an entire population.
Simple random sampling is the randomized selection of a small segment of individuals or members of a whole population. It provides each individual or member of a population with an equal and fair probability of being chosen. The simple random sampling method is one of the most convenient and simple sample selection techniques.
Simple random samples are determined by assigning sequential values to each item within a population, then randomly selecting those values.
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Create an equivalent expression for 1.5 cubed over 1.3 raised to the fourth power all raised to the power of negative six.
15 points to whoever can answer this pleeease help
Answer:
1.3^24 / 1.5)^18
Step-by-step explanation:
[1.5^3 / 1.3^4]^-6
= 1.5^(3*-6) / 1.3^(4*-6)
= 1.5^(-18) / 1.3^(-24)
= 1.3^24 / 1.5)^18
suppose that a water fountain produces a stream of water that follows the shape of a parabola. assigning the origin of a coordinate system to the point where the water stream emerges from the fountain, a measurement shows that the maximum height of the stream occurs at the point (6, 5). use symmetry to identify a third point and find a quadratic regression equation for the stream of water.a.y
Quadratic equation for stream of water; (x-6)² = -36/5(y-5)
Using symmetry;
if (0,0) is taken as origin and maximum height is reached by stream at (6,5); the stream will strike the ground at (12,0);
Equation of a parabola whose mouth is open toward negative y- axis;
x² = -4ay
Parabola vertex shifted from (0,0) to (6,5);
(x-6)² = -4a(y-5);
Put x = 0, y = 0, as it lies on parabola;
36 = -4a(-5);
36 = 20a;
a = 36/20;
Quadratic equation for stream of water; (x-6)² = -36/5(y-5);
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