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.
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HELP HELP HELP HELP HELPPPP.
Answer:
letter d
................
Answer:
I think the answer is D - 0.6
What is the measure of angle x?
Enter your answer in the box.
Answer:
x = 48º
Step-by-step explanation:
x = 90 -42
x = 48º
will give more p0ints if correct
Answer:
REVENGE
Step-by-step explanation:
Answer:
Answer is im not sure
Plz stop deleting my questions! This is a urgent!!plz help meee!,
Answer:
B
Step-by-step explanation:
Its really not hard. Just look at the chart. Find the 96 in the chart. What is it under? Flowers ordered. Which flower? Petunias. So its B. I'm sure you could have figured that out on your own. Not being rude, just telling you.
i need help pls!
this test is about angles, and i am having trouble with it.
Answer:
alternate exterior angles
if you are to measure the following figure for real,what tool(ruler or meter stick) and unit of measur(m, cm, in,) will you use..........
help me guys plsss
Why is 5992 divisible by 6
Answer:
Because its 9987 * 6
Step-by-step explanation:
Well, you could use simple math.
6:
1,6
2,3
I'm sorry if this is what you weren't looking for.
PLEASE HELP! (No links!)
What is the volume of the salt shaker??
Answer:
10
Step-by-step explanation:
How much shorter of a kiloliter is 498 Litre?
Answer:
hi
Step-by-step explanation:
Answer:498000
Step-by-step explanation:
solve for x 9.2, 16.5, x
Answer:
152
Step-by-step explanation:
A bag contains 56 marbles: 7 red, green, 11 yellow, 17 brown, and 13 blue.
If a marble is chosen at random, what is the probability that the marble is green?
Answer:
8/56
Step-by-step explanation:
Add up all other marble colors then find the difference from the total.
Answer:
1/7
Step-by-step explanation:
there are 8 green marbles out of 56 so the probability would be 8/56 which simpliefies to 1/7 or 14.285714%
give your answer as a mixed number
will someone show me how
to work out questions like this in the pictures step but step
Answer:
The value of given expression is 13 / 3
Step-by-step explanation:
Given expression in the form of improper fraction;
17/3 - [tex]1\frac{1}{3}[/tex]
Find;
The value of given expression
Computation:
⇒ 17/3 - [tex]1\frac{1}{3}[/tex]
Step 1 ;
Change mixed fraction into simple fraction
⇒ 17/3 - 4/3
Step 2 ;
By taking LCM of denominators;
⇒ [17 - 4] / 3
Step 3 ;
Subtract 17 from 3
⇒ [13] / 3
The value of given expression is 13 / 3
Carlos va a comprar un televisor que tiene un costo de c doláres. El impuesto gubernamental
de valor añadido es del 16%. ¿Cuál es la ecuación que MEJOR modela el pago total en
dólares, p, que hará Carlos en está en esta compra? *
Answer:
b
Step-by-step explanation:
There are 67 rabbits in the garden. Round 67 to the nearest 10.
Answer:
70
Step-by-step explanation:
1-4 rounds down
5-9 rounds up
How many million bacteria were in the dish at 10 a.m.?
Answer:
Fraction form: 1/4
Exponential form: 2^-2
Expanded form: 1/4 (Not sure if thats correct)
Step-by-step explanation:
Answer:
Its 1/4 he was right
Step-by-step explanation:
Write a sine function that has an amplitude of 5, a midline of 2 and a period of 8pi/5.
Answer:
f(x) = 5*sin( (5/4)*x) + 2
Step-by-step explanation:
A general sine function can be written as:
f(x) = A*sin(w*x) + M
Where:
A is the amplitude
w is the frequency of the function
M is the midline
Here we know that we want to have:
An amplitude of 5. Then, A = 5
A midline of 2, then M = 2
And a period of (8/5)*pi
For now, we can write our function as:
f(x) = 5*sin(w*x) + 2
Now, we know that for a function of period T, is always true that:
f(x) = f(x + T)
here, the period is T = (8/5)*pi
knowing that sin(0) = sin(2*pi)
Then we must have:
sin(0) = sin(w*0) = sin(w*( 0 + (8/5)*pi)) = sin(2*pi)
Then the arguments of the third and fourt parts must be the same, thus:
w*(8/5)*pi = 2*pi
We can solve this for w now:
w*(8/5) = 2
w = 2*(5/8) = (5/4)
Then the function is:
f(x) = 5*sin( (5/4)*x) + 2
In a plane, line b is parallel to line f, line f is parallel to line g, and line h is perpendicular to line b. Which of the following cannot be true?
Answer: f is Parralel to g
Step-by-step explanation:
Answer:
You gave us no choices
Step-by-step explanation:
h is not parallel f
Suppose you invest $200 at a 7% annual rate for one year. How much interest would you earn?
24 mi
32 mi
c
What is the length of the hypotenuse?
c =
miles
Answer:
40 mi
Step-by-step explanation:
a² + b² = c²
24² + 32² = c²
1600 = c²
√1600 = c
c = 40
Help me please this is very hard i got 8ft but it said I was wrong!?
Answer:
is the answer 200/3 Or 66.667 ft
One pipe fills an empty tank in 3 hours. A second pipe fills the same tank in 6 hours. A third pipe can empty the full tank in 5 hours. If all three valves were left open, how long would it take to fill the empty tank?
The value of a car is decreasing by 12% per year. If the car is worth $11,000 today, what will it be worth in two years?
Answer:
$8518.40
Step-by-step explanation:
FV = PV(1+r)^n
FV = future value
PV = present value
r = rate
n = # of years
Value in 2 yrs = 11,000 x (1 - 0.12)^2 = 8518.4
Order from greatest to least: 12, -4,8, -3, 0.
Answer:
-4,-3,0,8,12 its backwards my bad
Step-by-step explanation:
because it is
Answer:
12, 8, 0, -3, -4
hope it helps
HELP. LIKE- WHICH ONE IS THE ANSWER? ALSO EXPLAIN A BIT
Answer:
perpendicular lines are when two lines intercect in a right angle. so it would be A then
Step-by-step explanation:
A has a right degree angle where the two lines cross, so this is the answer
B that is not a right angle it has acute and obtuse angles
C does not even have two lines that touch
D the two lines don't cross at all
E is an acute angle
B, C,D, and E are not the answers
In ΔMNO, the measure of ∠O=90°, OM = 69 feet, and NO = 16 feet. Find the measure of ∠N to the nearest tenth of a degree.
9514 1404 393
Answer:
76.9°
Step-by-step explanation:
The relevant trig relation is ...
Tan = Opposite/Adjacent
tan(N) = OM/ON
N = arctan(OM/ON) = arctan(69/16)
N ≈ 76.9°
solve for x if 2(1+3x) =3
Answer:
x is 5
Step-by-step explanation:
Given the following regression output, what is the expected value for the change in daily circulation (the dependent variable) if a newspaper had 35 winners and finalists between 2004 and 2014 and 14 winners and finalists between 1990 and 2003?
Model parameters (Change in Daily Circulation, 2004-2013):
Source Value Standard error t Pr > |t| Lower Upper
bound (95%) bound (95%)
Intercept -0.328 0.042 -7.890 <0.0001 -0.412 -0.244
Pulitzer Prize
Winners and
Finalists,
1990-2003 -0.015 0.008 -1.873 0.067 -0.030 0.001
Pulitzer Prize
Winners and
Finalists,
2004-2014 0.024 0.008 2.837 0.007 0.007 0.040
Pulitzer Prize
Winners and
Finalists,
1990-2014 0.000 0.000
Answer:
0.512 ; - 0.538
Step-by-step explanation:
Using the standard linear regression relation :
y = bx + c
b slope ; c = intercept ; y = dependent ; x = independent variable.
For finalist between 2004 - 2014 ;
y = 0.024x - 0.328
x = 35
y = 0.024(35) - 0.328
y = 0.512
For finalist between 1990 - 2014 ; with 14 winners ; change in daily circulation :
y = -0.015x - 0.328
x = 14.
y = -0.015(14) - 0.328
y = - 0.538
A rectangular yard has dimensions 10 meters by 8 meters. In the middle of the yard is a rectangular pond of 8 square meters, leaving a uniform walkway around the pond. Write a quadratic equation in standard form to find the width of the walkway.
hahahaha i had this same question in my grade
For every 1000 videos a channel gets it makes £2.50 from ad revenue. How many videos will the channel need to make £1
Answer: 400 videos
Step-by-step explanation:
1000/1 x 1/2.5 = 400
50 points! Can you please be honest and answer these 3 questions.
Answer:
1. 5/10
2. 0.54
3. √3 and -1/16????
I think
sorry if I wrong