Answers
We can divide the large polygon into 3 smaller known polygons
1 square and 2 rectangles
The dimensions of the square will be:
width: 3 units
length: 3 units
The dimensions of the 1st rectangle will be:
width: 4 units
length: 7 + 13 = 20 units
The dimensions of the 2nd rectangle will be:
width: 5 units
length: 13 units
The area formula of square is (side)²
A = (6)² = 36 units²
The area formula of a rectangle is (length x width)
A (1st) = 4 x 20
= 80 units²
A(2nd) = 5 x 13
= 65 units²
Now, we add all the areas to get the final area
Area total = 36 + 80 + 65
= 181 unit²
Your final answer will be option D
Related Questions
△JKL∼△QRS , JK is 8 centimeters, QR is 12 centimeters, and RS is 9 centimeters.
What is KL ?
Enter your answer in the box.
Answers
Answer:
The measure of KL is 6 centimeters.
Step-by-step explanation:
It is given that △JKL∼△QRS.
The corresponding sides of two similar triangles are proportional.
[tex]\frac{JK}{QR}=\frac{KL}{RS}[/tex]
[tex]\frac{8}{12}=\frac{KL}{9}[/tex]
[tex]8\times 9=KL\times 12[/tex]
Divide both sides by 12.
[tex]KL=\frac{72}{12}[/tex]
[tex]KL=6[/tex]
Therefore we can say that if △JKL∼△QRS, then the measure of KL is 6 centimeters.
Answer:
6
Step-by-step explanation:
He did too much math lol, a simple way of this is by dividing both sides initially.
12/9 = 1.5
9/1.5 = 6
Math question help :)
Answers
Use corresponding parts of the two triangles.
If two triangles are similar, then the lengths of corresponding parts are proportional.
The small triangle has a vertical side that measures 6 ft. That side corresponds to the height of the tree, h, in the large triangle.
The small triangle has a horizontal side that measures 10 ft. That side corresponds to the side of the large triangle that measures 40 ft.
6 ft corresponds to h
10 ft corresponds to 40 ft
[tex] \dfrac{6}{h} = \dfrac{10}{40} [/tex]
Answer:
Step-by-step explanation:
I think its D.
how many fluorine atoms are found in 1.92 grams of AsF3?
Answers
The molar mass of AsF3 is 131.918 g/mole so
1.92 g * (1 mole)/(131.918g) = .0146 moles AsF3
Each mole of AsF3 has 6.02 x10^23 molecules of AsF3 and each molecule of AsF3 has 3 flourines, so you need to convert from moles to molecules AsF3 to atoms of F
0.146 moles AsF3 * (6.02 x 10^23 molecules AsF3)/(1 mole AsF3) * (3 atoms F)/(1 molecule AsF3) = 2.64 x 10^22 atoms F
Which pair of measurements is equivalent?
8,600 mg, 86 g
2,500 g, 250 kg
3.4 kg, 3,400 g
480 g, 4.8 mg
Answers
8,600 mg = 86,000 mg; So now, the first one is not equivalent.
2,500 g = 250,000 g; Not that one either.
3.4 kg = 3.4 kg; This one is correct. We can check by checking the last pair.
480 g = .0048 g; Nope.
So 3.4 kg, 3400 g would be the correct answer.
Answer:
3.4 kg, 3,400 g
A rectangle is 1/2 feet long and 3/4 feet wide. What is the area of the rectangle?
Answers
The area of the rectangle having a length of 1.2 feet and a width of 3/4 feet is 3/8 sq feet.
What are the area and perimeter of a rectangle?We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.
We know the area of a rectangle is (length×width).
Given, A rectangle is 1/2 feet long and 3/4 feet wide.
Therefore, The area of this rectangle is,
= (1/2×3/4) sq feet.
= 3/8 sq feet.
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Tiny's Tattoo Parlor sold 389 tattoos this month. 43 of those tattoos were arm tattoos. Based on this data, what is a reasonable estimate of the probability that the next customer does not get an arm tattoo?
Answers
Answer:
346/389
Step-by-step explanation:
correct on khan academy!
The reasonable estimate of the probability that the next customer does not get an arm tattoo is 346/389.
What is Probability?
Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1.
Here, Based on the given conditions, formulate
Probability = Favorable outcome / Total outcome
Calculate the sum or difference: (389-43)/389
get the result: 346/389
Thus.the reasonable estimate of the probability that the next customer does not get an arm tattoo is 346/389.
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a basketball player made 27 free throws in her last 45 tries. what is the experimental probability that she will make her next free throw?
Answers
Bess ur day.
Using the graph below, what is the 10th term of the arithmetic sequence?
A.a10 = 26
B.a10 = 31
C.a10 = 30
D.a10 = 436
Answers
The 10th term of an arithmetic sequence can be found using the formula an = a1 + (n - 1)d, where an is the nth term, a1 is the first term, n is the term number, and d is the common difference. Without the graph or additional information, we cannot compute the 10th term for the given sequence.
Explanation:The question asks us to determine the 10th term of an arithmetic sequence using a provided graph. Unfortunately, the actual graph is not provided in the question. An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant, known as the common difference. To find the 10th term of an arithmetic sequence, we would use the formula:
an = a1 + (n - 1)d
where an is the nth term of the sequence, a1 is the first term, n is the term number, and d is the common difference. However, without the graph or additional information such as the first term or the common difference, we cannot accurately determine the 10th term, and any answer from the provided options would be purely a guess.
To find the 10th term of an arithmetic sequence, we need to use the formula an = a1 + (n-1)d, where an is the nth term, a1 is the first term, n is the position of the term, and d is the common difference. In this case, the common difference is -3. Substituting the values into the formula, the 10th term is -24.
Explanation:To find the 10th term of an arithmetic sequence, we need to identify the common difference and use the formula:
an = a1 + (n-1)d
where an is the nth term, a1 is the first term, n is the position of the term, and d is the common difference.
In this case, the given sequence is 3; 14; 11; 5; 16; 17; 28; 41; 31; 18. By comparing the terms, we can see that the common difference is -3.
Substituting the values into the formula:
a10 = 3 + (10-1)(-3) = 3 - 27 = -24
The 10th term of the arithmetic sequence is -24.
PLEASE HELP ME QUICKLY!!!
BRAINLIEST AVAILABLE TO CORRECT ANSWER
Answers
Reggie currently has a square rug in his living room. He is moving soon and has determined that for his new living room, he will need a rug that has a width that is two feet shorter than his current rug and a length that is five feet longer than his current rug. Let x represents the side measure of Reggie's current rug, in feet. Determine the equation that represents the area, y, in square feet, of the rug needed for his new living room.
y = x2 + 3x - 10
y = x2 - 7x + 10
y = x2 - 3x - 10
y = x2 + 7x + 10
Answers
y = x² + 3x - 10
Explanation:
Reggie's current rug has a square shape.
This means that:
length of rug = x ft
width of rug = x ft
For the new rug:
1- the length is 5 ft longer than the current rug. This means that:
new length = x + 5 ft
2- the width is 2 ft shorter than the current rug. This means that:
new width = x - 2 ft
The area of the new rug can be calculated as follows:
area of new rug = new length * new width
area of new rug = (x + 5)(x - 2)
area of new rug = x(x) - 2(x) + 5(x) - 5(2)
area of new rug = x² - 2x + 5x - 10
area of new rug = x² + 3x - 10 ft²
Hope this helps :)
Answer:
C. y = x² + 3x - 10
Step-by-step explanation:
Reggie's current rug has a square shape.
This means that:
length of rug = x ft
width of rug = x ft
For the new rug:
1- the length is 5 ft longer than the current rug. This means that:
new length = x + 5 ft
2- the width is 2 ft shorter than the current rug. This means that:
new width = x - 2 ft
The area of the new rug can be calculated as follows:
area of new rug = new length * new width
area of new rug = (x + 5)(x - 2)
area of new rug = x(x) - 2(x) + 5(x) - 5(2)
area of new rug = x² - 2x + 5x - 10
area of new rug = x² + 3x - 10 ft²
Just took the test <3.Analyze the key features of the graph of the quadratic function f(x) = -x2 + 2x + 10. A. Does the parabola open up or down?
B. Is the vertex a minimum or a maximum?
C. Identify the axis of symmetry, vertex and the y-intercept of the parabola.
Answers
the parabola open down
the vertex is a maximum
the axis of symmetry is the y axis
the y-intercept of the parabola.is the point (0,10)
SOS
Answer
A: Down
B: Max
C:
AOS: x = 1Vertex: (1, 11)Y-Int: (0, 10)Step-by-step explanation:
A: If the leading coefficient (a) is positive, the graph opens UP. If it is negative, the graph opens DOWN.
B: Anytime the graph goes UP, there's a minimum. Anytime the graph goes DOWN, there's a maximum
C:
AOS: [tex]x = \frac{-b}{2a}, a=-1, b=2, c=10[/tex]
Vertex: [tex](\frac{-b}{2a}, y)[/tex]
Y-INT: let x=0 and solve for y. The coordinate of the y-intercept is (0, y).
Hope this helps!!
A $4,000.00 principal earns 5% interest, compounded annually. After 4 years, what is the balance in the account?
$500,000.00
$4,862.03
$4,600.00
$20,250.00
24.
A $6,000.00 principal earns 8% interest, compounded semiannually. After 35 years, what is the balance in the account?
$22,800.00
$39,600.00
$88,712.07
$93,429.71
25.
A tractor costs $15,450.00 and depreciates in value by 14% per year. How much will the tractor be worth after 3 years? $22,889.85
$15,408.00
$8,451.28
$9,827.07
Answers
6000(1+ .08/2)^35(2)=$93429.71
15450(.86)³=$9827.07
the second one is b
the third is a
I need to spend exactly £200, how?
Answers
One of the factors of 6x3 − 864x is
A. 4
B. X^2
C. X + 12
D. X - 8
Answers
Consider the expression [tex]6x^3-864x.[/tex] This expression consists of two terms: [tex]6x^3[/tex] and [tex]-864x.[/tex]
These two terms have common factors 6 and x, because:
[tex]6x^3=6x\cdot x^2;[/tex][tex]-864x=6x\cdot (-144).[/tex]Then
[tex]6x^3-864x=6x(x^2-144).[/tex]
You know that [tex]144=12^2.[/tex] Use the formula for the difference of squares:
[tex]x^2-144=x^2-12^2=(x-12)(x+12).[/tex]
Therefore,
[tex]6x^3-864=6x(x-12)(x+12).[/tex]
Answer: correct choice is C.
The domain of f(x) is the set of all real values except 7, and the domain of g(x) is the set of all real values except –3. What describes the domain of (gºf)(x)?
Answers
Therefore the Domain you are looking for in words is every x that can be put into f(x) and that gives you a value y that can be put in g(y).
Mathematically:
Dom (g°f) = {x ∈ Dom(f) | f(x) ∈ Dom(g)}
In your case:
Dom (g°f) = { x ∈ R - {7} | f(x) ∈ R - {-3} }
Suppose that F(x) = x^3 and G(x) = (4x)^3 − 5. Which statement best compares the graphs of F(x) and G(x)?
A.The graph of G(x) is the graph of F(x) stretched vertically and shifted 5 units down.
B.The graph of G(x) is the graph of F(x) stretched horizontally and shifted 5 units down.
C.The graph of G(x) is the graph of F(x) compressed vertically and shifted 5 units down.
D.The graph of G(x) is the graph of F(x) compressed horizontally and shifted 5 units down.
Answers
The graph of G(x) is the graph of F(x) stretched horizontally by a factor of 4 and shifted 5 units down.
Explanation:Comparing the functions [tex]F(x) = x^3[/tex] and [tex]G(x) = (4x)^3 - 5[/tex]reveals the relationship between their graphs. G(x) is a horizontal stretch of F(x) by a factor of 4 due to the presence of "4x." Additionally, the constant term "-5" shifts the graph downward by 5 units. Consequently, G(x) can be accurately characterized as a horizontal stretching of F(x) and a vertical shift downward by 5 units, altering the shape and position of the original cubic function F(x).
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helppppppppppppppppppppppp
Answers
log base 2 of 100 is about 1/4 the value of log base 6 of 20
Explanation:
We will get the value of each of them separately and then compare these values.
log base 2 of 100 = 6.6438
log base 6 of 20 = 1.6719
Comparing these values, we will find that:
log base 2 of 100 is about 1/4 the value of log base 6 of 20
Hope this helps :)
What are the solutions to the equation?
n^2−8n+16=25
Enter your answers in the boxes.
n1=
n2=
Answers
The equation becomes,
n^2-8n-9 = 0
Factoring the equation now gives you (n-9)(n+1) = 0.
In order to find the solutions to this equation, find values of 'n' that make the equation equal to 0.
In this case, if n is 9 or -1, we get the answer 0.
Proof: (9-9)(n+1) => (0)(n+1) = 0
or (n-9)(-1+1) => (n-9)(0) = 0.
Hope this made sense! If it didn't, please ask questions!
Answer:
help
Step-by-step explanation:
a cylinder has a circumgerence of 12pi cm and a height that is half the radius. what is the total surface
Answers
and surely you know how much that is.
help me please asap and plz be correct :)
Answers
.. AI = BI
.. 3x +7 = 5x -11
.. 18 = 2x
.. 9 = x
Then
.. AI = 3x +7
.. = 3*9 +7
.. = 34
AI = 34
Suppose that an individual has a body fat percentage of 16.4% and weighs 153 pounds. how many pounds of her weight is made up of fat? round your answer to the nearest tenth.
Answers
So multiply 0.164 times 153 to get 25.1lbs of fat.
What is the interior angle if the outside equals 110?
Answers
algebra 2 unit 2 question. connexus.
Answers
Next, lets convert those decimals into fractions by adding a denominator 1 to each decimal and multiply both its numerator and denominator by a power 10 that lets us get rid of the decimal point:
[tex]( \frac{-2.5}{1} )( \frac{10}{10} )= \frac{-25}{10} =- \frac{5}{2} [/tex]
[tex]( \frac{0.5}{1} )( \frac{10}{10} )= \frac{5}{10} = \frac{1}{2} [/tex]
[tex]( \frac{1.5}{1} )( \frac{10}{10} )= \frac{15}{10} = \frac{3}{2} [/tex]
Since we know that each one of those points is a zero of the function ([tex]x=0[/tex]), we can replace each value into our [tex]x=0[/tex], and work backwards to get our binomials:
[tex]x=- \frac{5}{2} [/tex]
[tex]2x=-5[/tex]
[tex]2x+5=0[/tex]
So, our first binomial is [tex](2x+5)[/tex]
[tex]x= \frac{1}{2} [/tex]
[tex]2x=1[/tex]
[tex]2x-1=0[/tex]
So, our second binomial is [tex](2x-1)[/tex]
[tex]x= \frac{3}{2} [/tex]
[tex]2x=3[/tex]
[tex]2x-3=0[/tex]
So, our next binomial is [tex](2x-3)[/tex]
Now lets put all together to find the equation of our function:
[tex]y=(2x+5)(2x-1)(2x-3)[/tex]
And of course, we can rewrite it in a different order:
[tex]y=(2x-1)(2x-3)(2x+5)[/tex]
We can conclude that the equation that most likely represents the graph of the function is [tex]y=(2x-1)(2x-3)(2x+5)[/tex]
The subject of this question is Mathematics, specifically Algebra 2.
Explanation:The subject of this question is Mathematics, specifically Algebra 2.
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Choose the correct box of the best buy available.
a .a box of cookies for $1.89
b. two boxes of cookies for $3.69
Answers
Jenna throws a stone off a pier and into the ocean. The graph models how the height of the stone, above sea level, changes over time.
Select from the drop-down menu to interpret the decreasing interval of the graph.
The stone was falling toward the water from
https://static.k12.com/nextgen_media/assets/8090396-NG_AL1_O_07_012_Quiz_05.png
Answers
This should get you a hundred on the 4.11 quiz. :)
You have a cd-rw drive that advertises speeds of 32x/12x/48x. what is the read speed of the drive?
Answers
Knowing this we can tell that our CD-RW drive has:
32x of writing speed
12x of rewriting speed
48x of reading speed
We can conclude that the reading speed of our CD-RW drive is 48x
How could you find an equation of a quadratic function with the zeroes of -3 and 1?
Answers
The simpliest quadratic function is y=(x+3)(x-1)
or y=x²+2x-3
△ABC∼△LMN , AB is 8 inches, BC is 14 inches, and LM is 12 inches.
What is MN ?
Answers
We setup a proportion using the given information.
AB/LM = BC/MN
8/12 = 14/MN
8(MN) = 12 * 14
8(MN) = 168
MN = 168/8
MN = 21
BRAINLIESTTT ASAP!!!!!!!!!
Answers
the answer would be -3.5 and -0.5
the first choice is the correct one
Today a car is valued at $42000. The value is expected to decrease at a rate of 8% each year. Choose the equation that can be used to solve the problem.
A.) y=42000(1+.08)^6
B.) y=42000(1+6)^8
C.) y=42000(1−.08)^6
D.) y=42000(1−.8)^6
And then: What is the value of the car expected to be 6 years from now?
This is the only question I don't understand, someone help please!
Answers
C.) y=42000(1−.08)^6
as for what it will cost in six years:
25466.91
not sure if you have to include the decimal or round it.
Answer:
Option (c) is correct.
[tex]y=42000(1-0.08)^6[/tex] equation that can be used to solve the given problem and the value of the car expected to be 6 years from now is $25466.91
Step-by-step explanation:
Given : Today a car is valued at $42000. The value is expected to decrease at a rate of 8% each year.
We have to choose the equation that can be used to solve the given problem.
We know
Depreciation formula given as,
[tex]A=P(1-\frac{r}{100} )^n[/tex]
Where A is the amount value after depreciation.
P is present value
r is depreciate rate.
n is time period.
Given : P = 42000 and r= 8% also given time period is 6.
Substitute , we have,
[tex]y=42000(1-\frac{8}{100} )^6[/tex]
Simplify , we have,
[tex]y=42000(1-0.08)^6[/tex]
Simplify we get,
[tex]y=25466.91[/tex]
Thus, [tex]y=42000(1-0.08)^6[/tex] equation that can be used to solve the given problem and the value of the car expected to be 6 years from now is $25466.91