Using the shoelace formula (Green’s Theorem) in counterclockwise fashion, the value of x is -8.
What is Shoelace formula ?Area of Polygon can be calculated using Shoelace formula described by Mathematician and Physicist Carl Friedrich Gauss where polygon vertices are described by their Cartesian coordinates in the Cartesian plane.
A = [tex]\frac{1}{2} |x_{1} y_{2} +x_{2} y_{3}+........x_{n-1}y_{n} +x_{n} y_{1} -x_{2} y_{1} -x_{3} y_{2} - ........-x_{n}y_{n-1}-x_{2}y_{n} |[/tex]
Shoelace formula (Green’s Theorem)
A = [tex]\frac{1}{2} |x_{1} y_{2} +x_{2} y_{3}+........x_{n-1}y_{n} +x_{n} y_{1} -x_{2} y_{1} -x_{3} y_{2} - ........-x_{n}y_{n-1}-x_{2}y_{n} |[/tex]
Where A is the area of the polygon and n is the number of sides of the polygon.
Here A = 6, n = 3, [tex]x_{1}[/tex] = 6, [tex]y_{1}[/tex] = 0, [tex]x_{2}[/tex] = 5, [tex]y_{2}[/tex] = 10, [tex]x_{3}[/tex] = [tex]x[/tex], [tex]y_{3}[/tex] = 20
A = 60 = [tex]\frac{1}{2} |(6.10)+(5.20)+(x.0)-(5.0)-(x.0)-(6.20)|[/tex]
60 = [tex]\frac{1}{2} |60+100-10x-120|[/tex]
60 = [tex]\frac{1}{2} |40-10x|[/tex]
60 = [tex]|20-5x|[/tex]
So 20 - 5x = -60
5x = 80
x = 16
20 - 5x = 60
5x = -40
x = -8
since x is a negative value,
we can know x = -8
Hence the value of x is -8.
Find out more information about green's theorem here
brainly.com/question/27549150
#SPJ2
PLEASE HELP I WILL MARK BRAINLIEST!
find the length of the third side.
Thank you!
Answer:
We use Pythagoras' theorem:
[tex] \bf {AC}^{2} = {AB}^{2} + {BC}^{2} \\ \\ \bf {AC}^{2} = ( \frac{12}{13})^{2} + ( \frac{5}{13} )^{2} \\ \\ \bf {AC}^{2} = \frac{ {12}^{2} }{ {13}^{2} } + \frac{ {5}^{2} }{ {13}^{2} } \\ \\ \bf {AC}^{2} = \frac{144}{169} + \frac{25}{169} \\ \\ \bf {AC}^{2} = \frac{169}{169} \\ \\ \bf {AC}^{2} = 1 \\ \\ \bf AC = \sqrt{1} \Rightarrow \red{ \boxed{ \bf AC = 1} } [/tex]
Answer:
AC = 1
Step-by-step explanation:
This is Pythagoras' theorem, which states that the sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse.
⇒ Th.P ⇒ AC² = AB² + BC²
<=> AC² = (12/13)² + (5/13)²
<=> AC² = 144+25/169
<=> AC² = 169/169
<=> AC² = 1
⇒ AC = √1 = 1.
Approximately 0.5% of computers in a shipment arrive broken. In a shipment of 20,000 computers, about how many will NOT be broken?
Rewrite 0.5% as a decimal by moving the decimal point 2 places to the left:
0.5% = 0.005
Multiply quantity by the decimal:
20,000 x 0.005 = 100 would be broken
20,000-100 = 19,900 would not be broken
Hi plz help, if you can ill mark you 5 starz! :)
Answer:
79 hours
Step-by-step explanation:
(5×1 )(5 1/2 ×3 )(6×4 )(6 1/2 × 3)( 7×2)= 79 hours
solve the system by substitution -4x+3y=-2 y=x-1
Answer:
Substitute y=x-1 for y in the first equation to get -4x+3(x-1)=-2
-4x+3x-3=-2
-x-3=-2
-x=1
x=-1
Step-by-step explanation:
Answer:
x = -1
y = -2
Step-by-step explanation:
If you look at the second equation, y is already isolated for us:
y = x - 1
so all we need to do is plug in the value for y into the first equation:
-4x + 3(x - 1) = -2
Next all we do is algebra:
[distribute] -4x + 3x - 3 = -2
[condense] -1x - 3 = -2
[add] -1x = 1
[divide] x = -1
Now that we have the value of x, we can use it to find y by plugging it in to either equation.
y = x - 1
[plug in] y = -1 - 1
[condense] y = -2
Answers: x = -1, y = -2
Minutes No. of Homework
Problems
2 or Less
3-4
5-6
7-8
9 or more 8
4
2
0
3
What is the number of homework problems that took less than 5 minutes in the given table?
A.
4
B.
14
C.
12
D.
8
Which graph below shows a system of equations with one solution?
1 and 2
Answer: the Second one
Step-by-step explanation:
Hope this helps you
PLEASE HELP,I WIL GIVE BRAINLIEST.
A rectangular garden has a width of 20 ft and an area of 300 ft. What is the perimeter of the figure?
Answer:
70 ft
Step-by-step explanation:
300/20 = 15
20x2=40
15x2=30
40+30=70
Answer:
70 ft
Step-by-step explanation:
20 + 20 + 15 + 15
HURRY what is 1+1 please hurry
A flashlight flashes every 45 seconds. After 10 ½ minutes, how many times does the light flash?
Answer:
14
Step-by-step explanation:
Answer:
14 flashes.
Step-by-step explanation:
1 minute = 60 seconds
x minutes = 45 seconds.
1/x = 60/45 Cross multiply
60x = 45 Divide by 60
x = 45/60
x = .75
10 1/2 minutes = 10.5 minutes.
x flashes / 10.5 minutes = 1 flash / 0.75 minutes Multiply by 10.5
x = 10.5/0.75
x = 14
Which of the following, to the nearest tenth, is a solution of f(x) = g (x) if f (x) = in (x + 5 ) - 1 and g(x) =x^3 - 2x+1
A) 0.5
B) -1.6
C) -2.3
D) 1.9
Answer:
c
Step-by-step explanation:
Double the product of 4y and 3b if y=2 and b=1.
Answer:
48
Step-by-step explanation:
Double the product of 4y and 3b
2 * ((4y) * (3b))
y = 2 and b = 1
2 * ((4 * 2) * (3 * 1))
2 * (8 * 3)
2 * 24
48
250 grams of flour cost $ 17 .00 . how muchnwill 3 bags each holding 1.5kg of flour cost
Answer:
$51.00
Step-by-step explanation:
One bag price multiply it number of price bag wanted $17.00 × 3 =$51.00
Complete the function table for each equation
Answer:
y=-32, 0, -16, -4, 16
Step-by-step explanation:
y=4(-6)-8= -32
y=4(2)-8 = 0
y=4(-2)-8 = -16
y=4(1) -8 = -4
y=4(6) -8= 16
For the given equation of the line, the complete table is attached below.
Use the concept of the equation of line defined as:
A line has length but no width, making it a one-dimensional figure. A line is made up of a collection of points that can be stretched indefinitely in opposing directions. Two points in a two-dimensional plane determine it.
The given equation of a line is,
y = 4x - x
To complete the table:
Put x = -6 in this equation,
y = (-4)(-6) - 8
y = 16
Put x = 2 in the equation,
y = (-4)(2) - 8
y = -16
Put x = -2 in the equation,
y = (-4)(-2) - 8
y = 0
Put x = 1 in the equation,
y = (-4)(1) - 8
y = -12
Put x = 6 in the equation,
y = (-4)(6) - 8
y = -32
The complete table is attached below.
To learn more about the equation of line visit:
brainly.com/question/18831322
#SPJ6
2×x×3×y
[tex]2 \times x \times 3 \times y[/tex]
Answer:
6xy
Step-by-step explanation:
A fair die is cast four times. Calculate
the probability of obtaining at least two
6's.
Round to the nearest tenth of a
percent.
[ ? ]%
Step-by-step explanation:
You can solve this using the binomial probability formula.You can solve this using the binomial probability formula.The fact that "obtaining at least two 6s" requires you to include cases where you would get three and four 6s as well.You can solve this using the binomial probability formula.The fact that "obtaining at least two 6s" requires you to include cases where you would get three and four 6s as well.Then, we can set the equation as follows:You can solve this using the binomial probability formula.The fact that "obtaining at least two 6s" requires you to include cases where you would get three and four 6s as well.Then, we can set the equation as follows: You can solve this using the binomial probability formula.The fact that "obtaining at least two 6s" requires you to include cases where you would get three and four 6s as well.Then, we can set the equation as follows: P(X≥x) = ∑(k=x to n) C(n k) p^k q^(n-k) You can solve this using the binomial probability formula.The fact that "obtaining at least two 6s" requires you to include cases where you would get three and four 6s as well.Then, we can set the equation as follows: P(X≥x) = ∑(k=x to n) C(n k) p^k q^(n-k) n=4, x=2, k=2You can solve this using the binomial probability formula.The fact that "obtaining at least two 6s" requires you to include cases where you would get three and four 6s as well.Then, we can set the equation as follows: P(X≥x) = ∑(k=x to n) C(n k) p^k q^(n-k) n=4, x=2, k=2when x=2 (4 2)(1/6)^2(5/6)^4-2 = 0.1157You can solve this using the binomial probability formula.The fact that "obtaining at least two 6s" requires you to include cases where you would get three and four 6s as well.Then, we can set the equation as follows: P(X≥x) = ∑(k=x to n) C(n k) p^k q^(n-k) n=4, x=2, k=2when x=2 (4 2)(1/6)^2(5/6)^4-2 = 0.1157when x=3 (4 3)(1/6)^3(5/6)^4-3 = 0.0154You can solve this using the binomial probability formula.The fact that "obtaining at least two 6s" requires you to include cases where you would get three and four 6s as well.Then, we can set the equation as follows: P(X≥x) = ∑(k=x to n) C(n k) p^k q^(n-k) n=4, x=2, k=2when x=2 (4 2)(1/6)^2(5/6)^4-2 = 0.1157when x=3 (4 3)(1/6)^3(5/6)^4-3 = 0.0154when x=4 (4 4)(1/6)^4(5/6)^4-4 = 0.0008You can solve this using the binomial probability formula.The fact that "obtaining at least two 6s" requires you to include cases where you would get three and four 6s as well.Then, we can set the equation as follows: P(X≥x) = ∑(k=x to n) C(n k) p^k q^(n-k) n=4, x=2, k=2when x=2 (4 2)(1/6)^2(5/6)^4-2 = 0.1157when x=3 (4 3)(1/6)^3(5/6)^4-3 = 0.0154when x=4 (4 4)(1/6)^4(5/6)^4-4 = 0.0008Add them up, and you should get 0.1319 or 13.2% (rounded to the nearest tenth)Plz help me well mark brainliest if correct.............
Answer:
Yup, 11 is the answer. because 4 -15 is 11.
What is the output for an input of "9" for "n" for the equation m=4n-6.
Answer:
so m=30
Step-by-step explanation:
4x9 is 36
36-6 is 30.
Answer:
m = 30
Step-by-step explanation:
I need helppppppppppp
Answer:
b.)36
Step-by-step explanation:
Formula for area of a trapezoid = [tex]\frac{a+b}{2} h[/tex]
where a and b = bases and h = height
The sign has the following dimensions
Base 1 = 6ft
base 2 = 12ft
height = 4ft
Using these dimensions we plug in the values into the formula
[tex]A=\frac{6+12}{2} 4\\6+12=18\\\frac{18}{2} =9\\9*4=36[/tex]
Hence the area of Mr. Wash's sign is 36 square feet.
Answer:
b) 36 sq ft.
Step-by-step explanation:
6 x 4 = 24 (multiply to find the square after splitting it)
12 - 6 = 6 x 4 = 24 / 2 = 12 (you divide by two because it's a triangle)
24 + 12 = 36
hope this helps :)
the diagram shows a parallelogram. what is the value of x
Answer:
Step-by-step explanation:
what
Answer:
where is the diagram
Step-by-step explanation:
Chelsea bought a computer on Monday for $1,300. Its value is predicted to decrease by $250 per year. Her brother George also bought a computer on Monday. The function g(x) = 1,100 – 175x predicts how the value of his computer is expected to change after x years.
Whose computer is expected to have a greater value when it is 3 years old, and how much greater will it be?
A) Chelsea’s computer is expected to have a value of $25 greater.
B) George’s computer is expected to have a value of $25 greater.
C) Chelsea’s computer is expected to have a value of $125 greater.
D) George’s computer is expected to have a value of $125 greater.
Answer:
The correct answer is B. George’s computer is expected to have a value of $25 greater.
Step-by-step explanation:
Since Chelsea bought a computer on Monday for $ 1,300, and its value is predicted to decrease by $ 250 per year, while her brother George also bought a computer on Monday, and the function g (x) = 1,100 - 175x predicts how the value of his computer is expected to change after x years, to determine whose computer is expected to have a greater value when it is 3 years old, and how much greater will it be, the following calculation must be performed:
Chelsea:
1,300 - (250 x 3) = X
1,300 - 750 = X
550 = X
George:
1,100 - (175 x 3) = X
1,100 - 525 = X
575 = X
Therefore, George’s computer is expected to have a value of $ 25 greater.
The volume of the cylinder is 13,665.28 cm³ and the height is 17 cm what is the radius
Answer:
V = π²h
r = √V/πh
r = √13,665.28cm³/(3.14)(17cm)
r =√13,665.28/53.38 cm
r = √256 cm
r = 16 cm
WHATS THE ANSWER?? answer ASAP NO FILE AT ALL
Answer:
B
Step-by-step explanation:
Answer:
The answer would be B!
Solve:
22,064 ÷ 394=
Answer: 56
394 goes into 22064 56 times.
Answer:
0.056
The Answer is 56!!!!
Step-by-step explanation:
3^4 + 3 • 5 =
(Input only whole numbers.)
Numerical Answers Expected!
Answer:
To write 3/4 as a fraction with a common denominator, multiply by 5/5
.
3/4⋅5/5+3/5
To write 3/5
as a fraction with a common denominator, multiply by 4/4
.
3/4⋅5/5+3/5⋅4/4
Write each expression with a common denominator of 20
, by multiplying each by an appropriate factor of 1
.
Tap for more steps...
3⋅52/0+3⋅42/0
Combine the numerators over the common denominator.
3⋅5+3⋅420
Simplify the numerator.
Step-by-step explanation:
Find the missing angle x
Then BAC
Answer:
Step-by-step explanation:
since arc BC is 2 time the angle of A , then
2(9x +12) = 21x +3
18x +24 = 21x + 3
21 = 3x
7 = x
x = 7
∠BAC = 9(7) +12
∠BAC = 63 +12
∠BAC = 75°
A. You work 30 hours a week. You need to earn $234 to cover your weekly expenses. Your dog-walking job pays $8 per hour and your job at the car wash pays $7.5 an hour. Write a system of linear equations to represent the situation.
Answer:
Line all of the numbers up
Step-by-step explanation:
You have $234 to cover all of your weekly expenses (bills, food, ect.) Your dog walking job pays (gives you) $8 per hour, the car wash job pays $7.50 an hour.
Problem ID: PRAFJA9
Look at this graph.
What is the slope of line k?
(I will give you the brainiest thing )(please answer quick)
Answer:
10/4
Step-by-step explanation:
What is the exponent for 4.4.4.4=?
Answer:
the answer is four to the the power of four
Step-by-step explanation:
how, well because the main number there is four and the the amount is four so there's your answer
The exponent for 4.4.4.4 = 4^4
What is exponent?An exponent of a number is the number of times the number is multiplied to itself. For example, 10 is multiplied for n times by itself can be expressed as 10^n.For any number x raised to the power n can be expressed as x^n = x.x.x....x (n times) = x^nIn x^n, x is called base and n is called exponent otherwise index or power of x.In short,Exponentation is the shortest method for repeated multiplication.It is given that 4.4.4.4
Here 4 is multiplied repeatedly by the number itself. So we use exponentation.
Base is 4 and exponent is 4
Therefore, the exponent for 4.4.4.4 is 4^4
Learn more about exponent here:
https://brainly.com/question/11975096
#SPJ2
Solve for z.
z
7
= 8
z =
Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
Exact Form:
z=0,7√8
Decimal Form:
z=0,1.34590019…
Hope this helps!
Have a great day!
- Hailey : )
Find the measure of an angle in a regular polygon with 22 sides