Just help, my brain shutdown and its currently 9:51, so help me asap. <3
(05.05) Polygon ABCD has the following vertices:
A(−5, 4), B(1, 4), C(6, −4), and D(−5, −4)
Calculate the area of the polygon.
A) 48 units squared
B) 53 units squared
C) 68 units squared
D) 88 units squared
Answers
Answer:
B hope this helps!
Step-by-step explanation:
Trust <3
Answer:
The first thing you should do is draw the points in the Cartesian plane and then join them to find the polygon.
The searched polygon can be seen in the attached image.
The area of the polygon will be the area of the square plus the area of the triangle.
At = (6) * (8) + (1/2) * (5) * (8) = 68
At = 68
answer
the area of the polygon is 68units ^ 2
Related Questions
How would you solve problems like this
Answers
The curve
[tex]y = \sqrt{x - 3} [/tex]
has a tangent with gradient
[tex] \frac{1}{2} [/tex]
at point N.
Find the coordinates of N.
Answers
Answer:
Point N(4, 1)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Coordinates (x, y)FunctionsFunction NotationTerms/CoefficientsAnything to the 0th power is 1Exponential Rule [Rewrite]: [tex]\displaystyle b^{-m} = \frac{1}{b^m}[/tex] Exponential Rule [Root Rewrite]: [tex]\displaystyle \sqrt[n]{x} = x^{\frac{1}{n}}[/tex]Calculus
Derivatives
Derivative Notation
Derivative of a constant is 0
Basic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹Derivative Rule [Chain Rule]: [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle y = \sqrt{x - 3}[/tex]
[tex]\displaystyle y' = \frac{1}{2}[/tex]
Step 2: Differentiate
[Function] Rewrite [Exponential Rule - Root Rewrite]: [tex]\displaystyle y = (x - 3)^{\frac{1}{2}}[/tex]Chain Rule: [tex]\displaystyle y' = \frac{d}{dx}[(x - 3)^{\frac{1}{2}}] \cdot \frac{d}{dx}[x - 3][/tex]Basic Power Rule: [tex]\displaystyle y' = \frac{1}{2}(x - 3)^{\frac{1}{2} - 1} \cdot (1 \cdot x^{1 - 1} - 0)[/tex]Simplify: [tex]\displaystyle y' = \frac{1}{2}(x - 3)^{-\frac{1}{2}} \cdot 1[/tex]Multiply: [tex]\displaystyle y' = \frac{1}{2}(x - 3)^{-\frac{1}{2}}[/tex][Derivative] Rewrite [Exponential Rule - Rewrite]: [tex]\displaystyle y' = \frac{1}{2(x - 3)^{\frac{1}{2}}}[/tex][Derivative] Rewrite [Exponential Rule - Root Rewrite]: [tex]\displaystyle y' = \frac{1}{2\sqrt{x - 3}}[/tex]Step 3: Solve
Find coordinates
x-coordinate
Substitute in y' [Derivative]: [tex]\displaystyle \frac{1}{2} = \frac{1}{2\sqrt{x - 3}}[/tex][Multiplication Property of Equality] Multiply 2 on both sides: [tex]\displaystyle 1 = \frac{1}{\sqrt{x - 3}}[/tex][Multiplication Property of Equality] Multiply √(x - 3) on both sides: [tex]\displaystyle \sqrt{x - 3} = 1[/tex][Equality Property] Square both sides: [tex]\displaystyle x - 3 = 1[/tex][Addition Property of Equality] Add 3 on both sides: [tex]\displaystyle x = 4[/tex]y-coordinate
Substitute in x [Function]: [tex]\displaystyle y = \sqrt{4 - 3}[/tex][√Radical] Subtract: [tex]\displaystyle y = \sqrt{1}[/tex][√Radical] Evaluate: [tex]\displaystyle y = 1[/tex]∴ Coordinates of Point N is (4, 1).
Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Derivatives
Book: College Calculus 10e
SOMEBODY PLEASE HELP‼️I'll give you the brainliest‼️
find the area of a circle that has a radius of 5 rounded to the nearest tenth
1) 25
2) 10
3) 78.5
4) 78.6
Answers
Answer: 78.5
Step-by-step explanation: Assuming you use 3.14 for pi, then 5^2 times 3.14 equals to 78.5. If you use the real number for pi, then it is going to be 78.54/
HELP ILL GIVE BRAINLIEST
Answers
Answer:
in fractions: 0, 1/5, 2/5, 3/5, 4/5, 1 (5/5)
in percents: 0%, 20%, 40%, 60%, 80%, 100%
Step-by-step explanation:
all the fractions line up with the percents
Answer:
This is the model i made
HELP ME IM STUCK PLEASE QUICK
Answers
Answer:
C) 24>x
Step-by-step explanation:
The inequality is just turned around. 24>x is thw same thing as x<24.
Hope this helped :)
Answer:
D
Step-by-step explanation:
x+3≥12
<=> x≥8
so 8 is less than x
x is less than 24 means 24>8 but in this case we must follow a model so x is less than 24 can be write 24≥x (read x is less than 24 or is equal to 24)
Find the value of -8 - 12 - (-20).
24
-40
16
0
Answers
Answer:
it's = 0
you have to use the steps of maths
Hope that helped!
What is the height of the cone below?
Answers
The height of the cone is h = 27
Formula:-
Step 1:-
The volume of the cone is V=\frac{1}{3} (base)(height)V=31(base)(height)
Given volume is V= 45 in^ 3
Given base of the cone is B= 5 in^2
Step 2:-
by using formula, we get solution
45 = \frac{1}{3} (5)(h)45=31(5)(h)
cross multiplication, we get
\frac{45 x 3}{5} =h545x3=h
now simplification, the height of the cone is h = 27
sauce: brainly
Answer:
27 in.
Step-by-step explanation:
Firstly, let's look at what we do know. We need to find the height of a cone and we know the area of the base (B) and we know the volume of the cone.
The first step is to determine the radius of the base, which we can use later.
The area of a circle is A = π r^2, so when we plug in the given information
5 = π r^2
And now we can solve for the radius
5/π = r^2
√(5/π) = r
r = 1.26
Now that we have the radius of the base, we can find the height of the cone using the volume formula.
V = π r^2 (h/3)
45 = π (1.26)^2 (h/3)
45 = π (1.59) (h/3)
45/(1.59π) = h/3
9.01 = h/3
3(9.01) = h
h = 27 in
What is the value of 1,608 divided by 10 cubed
Answers
Answer:
16 2/25
Step-by-step explanation:
1608 / 10^2
1608/100
16 8/100
16 4/50
16 2/25
Answer:
1.608
Step-by-step explanation:
1608 ÷ 1000 = 1.608
4/5 divided by 3/4
I need help please!! :)
Answers
Answer:
1 1/5 in fraction form :))
if anyone could help answer this question that would be great.
Answers
First break it off into 2 rectangles on is 4 width and 10 length other is 8 length and 10 width. Then multiple to find area 10•4=40 8•3=24 then add 40+24= 64
Find the measure of angle 1
HELP
Answers
Answer:
75°
Step-by-step explanation:
The chord- chord angle is half the sum of of the arcs intercepted by the angle and its vertical angle, then
∠ 1 = [tex]\frac{1}{2}[/tex] (110 + 40)° = 0.5 × 150° = 75°
Show all the steps that you used to solve this problem.
Write an inequality for the graph.
Answers
Answer:
h(x) ≥ |x - 5| +1
Step-by-step explanation:
Given graph represents an absolute function (parent function)
f(x) = |x|
Since, graph of the function 'f' has been shifted 5 units to the right new function will be,
g(x) = f(x - 5)
g(x) = |x - 5|
Again function 'g' is shifted 1 unit upwards along the y-axis then the new function will be,
h(x) = g(x) + 1
h(x) = |x - 5| + 1
There is a shaded region representing the solution area lying above the intersecting dark lines,
Therefore, solution region will be re[presented by the inequality,
h(x) ≥ |x - 5| + 1
Which of the following is NOT one of the benefits of owning your own home?
a.
Pride of ownership, privacy, and quality of life
b.
Predictable payments and added stability
c.
Tax deductions for interest costs
d.
Lower maintenance or repair costs compared to renting your home
e.
Homeownership usually serves as protection against inflation
Answers
Answer:
c Tax deductions for interest costs
Step-by-step explanation:
This is because it is the only one that wouldn't make a home owner happy. Most people hate doing taxes therefore it would be a disadvantage not a benefit
Which would it be please?Help if you can.
Answers
Answer:
B
Step-by-step explanation:
Area = length times width, in this case, both length and width is x.
While 5 and 2 are the lengths and widths for the unshaded part.
x^2 = whole square
x^2 - (5)(2) = area of shaded region
Imagine the center of the London Eye Ferris Wheel is located at (0, 0) on a coordinate grid, and the radius lies on the x-axis. Sketch an image of what your Ferris wheel would look like on the grid. You may sketch your picture by hand or use a virtual tool such as GeoGebra. Be creative!!!!
Answers
Answer:
u must sketch what u see when u close ur
The exponential function g, represented in the table, can be written g(x) = a•b^c
Answers
Answer:
okay
Step-by-step explanation:
palish pnyang pnyang sbaby sha
PLEASE HELP ME URGENT what is the correct answer to my question.
Answers
I'm fully sure but maybe you add 12+40
Working alone, Jacob can paint a fence in
nine hours. Molly can paint the same
fence in eight hours. Find how long it
would take them if they worked together.
Answers
Answer:
it would be In 17 hours
Step-by-step explanation:
let me know if I am wrong or right thxs
Answer:
4 4/17 hours
Step-by-step explanation:
In one hour Jacob can paint 1/9 of the fence
In one hour Molly can paint 1/8 of the fence
This equation can determine how long it would take if they worked together:
1/9x + 1/8x = 1
multiply each term by lcm of 72 to eliminate denominators to get:
8x + 9x = 72
17x = 72
x = 72/17
x = 4 4/17 hours
Which triangle makes this statement true?
Answers
Answer:
A.
Step-by-step explanation:
i pretty sure
Which equation is correct?
a) cos G = 15/17
b) cos G = 8/15
c) sin G = 15/17
d) sin G = 8/15
Answers
Find the median and mean of the data set below:
36,4,27,46,46
Answers
Answer:
The mean is
31.8
The median is 36
Pls help me also show your work bc I need to understand
Answers
9514 1404 393
Answer:
x = ±√13x = ±3√6x = ±√66x = 0 or 8Step-by-step explanation:
As in any "solve for" situation, you "undo" what is done to the variable.
Here, (for 3 of the 4 problems) the variable is ...
squaredmultiplied by a constantadded to a constantWe undo these operations in reverse order. First, we add the opposite of the added constant. Then we divide by the coefficient of x². Finally, we take the square root to "undo" the squaring operation.
1. 4x² -30 = 22 . . . . . . given
4x² = 52 . . . . . . . . . add 30 to both sides
x² = 13 . . . . . . . . . . . divide both sides by 4
x = ±√13 . . . . . . . . . take the square root. Both signs are solutions.
__
2. 3x² +4 = 166 . . . . . given
3x² = 162 . . . . . . . . add -4 to both sides
x² = 54 . . . . . . . . . . divide both sides by 3
x = ±√54 . . . . . . . . take the square root. 54 = 3²·6 has a square factor
x = ±3√6 . . . . . . . simplified result
__
3. (1/3)x² +14 = 36 . . . . given
(1/3)x² = 22 . . . . . . . . add -14 to both sides
x² = 66 . . . . . . . . . . . multiply both sides by 3
x = ±√66 . . . . . . . . take the square root
__
4. The same "undo" idea applies. Here, we can start with the square root.
(x -4)² = 16 . . . . . given
x -4 = ±4 . . . . . . . square root
x = 4 ± 4 . . . . . . add 4 to both sides
This means x = 4-4 = 0, or x = 4+4 = 8.
The solutions are x = 0, x = 8.
Samantha has chocolate bars and lollipops in the the ratio 4:5. If she has 12 chocolate bars,how many lollipops does she have?
Answers
5 • 3 = 15
she has 15 lollipops
Which is the equation of a line that has a slope of 3 and passes through point
(-3,-1)2
A. y=-3x+1
B. y--3x+3
C. y = 2 x -
D. y-22 8x-3
Answers
Answer:
y = -2/3x - 3
Step-by-step explanation:
y = -2/3x + b
-1 = -2/3(-3) + b
-1 = 2 + b
-3 = b
y = -2/3x - 3
list some things I could spend a million dollars on.. doing a math worksheet and I can’t think of things.. help!
Answers
Answer:
A car, college, and house, bills. and Airplane? would those work?
Step-by-step explanation:
The square root 24 is between which two numbers on the number line
A)
1 and 2
B)
2 and 3
C)
3 and 4
D)
4 and 5
Answers
Answer:
Step-by-step explanation:
4²=16
5²=25
so √24 is between 4 and 5.
yes
if r 1 and 0 = 7pi/6 what is the approximate arc length
Answers
= (1)(7pi/6)
= 3.7 unit
Please can someone help been struggle with this problem
Answers
Step-by-step explanation:
domain = { x/ x € Real}
range = { y/ y > -3 , y € Real }
the difference between two numbers is 14. if 1/3 of the larger number is subtracted from the smaller number ,the result equals 1/10 of their sum. find both numbers
Step by step please
Answers
Answer:
Step-by-step explanation:
x-y=14
x-1/3y=1/10
-y=14-x
y=-14+x
take out the factors
x-10/30y=3/30
30x-10y=3
substitute
30x-10(-14+x)=3
30x+140-10x=3-140
20x/20=-137/20
x=-6.85
y=-14+(-6.85)
y=-20.85
The two numbers are 143/20 and 423/20.
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
Given that, the difference between two numbers is 14.
Let the smaller number be x and the larger number be y.
Here, y-x=14 ------------(i)
If 1/3 of the larger number is subtracted from the smaller number ,the result equals 1/10.
1/3 of larger number is 1/3 y
x-y/3 =1/10 ------------(ii)
From equation (i), substitute y=14+x in equation (ii), we get
x-(14+x)/3 =1/10
10(3x-14-x)=3
30x-140-10=3
20x-140=3
20x=143
x=143/20
Substitute x=143/20 in equation (i), we get
y-143/20=14
y=14+143/20
y=(280+143)/20
y=423/20
Therefore, the two numbers are 143/20 and 423/20.
To learn more about the linear system of an equations visit:
https://brainly.com/question/27664510.
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Jamal's friends toss 12 balls to him at the same time. Three balls are red, 3 are green, 3 are blue, and 3 are white. Jamal manages to catch 5 of the balls.
What is the probability that he catches 2 red balls and 1 ball of each of the other colors?
Answers
Answer:
81/792 or 9/88 or 10.2%
Step-by-step explanation:
Possibility: nCr(12,5) = 792
Red: nCr(3,2) = 3
Blue, Green, White: nCr(3,1) = 3
3 * 3 * 3 * 3 = 81
81/792 simplified is 9/88 percentage is 10.22%
The probability that Jamal will catch 2 red balls and 1 ball of each of the other colors is 0.1025.
What is probability?Probability is the branch of Mathematics that deals with the measurement of the chance of occurrence of a random event.
The probability of any event always lies in the close interval of 0 and 1 [0,1].
The zero value of probability indicates that the event will not happen while its value equal to one indicate that it will happen.
The total numbers of balls are 12.
Each color has 3 balls.
If total 12 balls are tossed, the number of ways of catching 5 of them is,
¹²C₅ = 792
The number of ways of catching 2 red balls out of 3 is ³C₂ = 3
The number of ways of catching 1 green ball out of 3 is ³C₁ = 3
The number of ways of catching 1 blue ball out of 3 is ³C₁ = 3
The number of ways of catching 1 white ball out of 3 is ³C₁ = 3
Thus, the probability as per the question is given as follows,
(3 × 3 × 3 × 3)/792
= 81/792
= 0.1025
Hence, the probability of catching 2 red balls and 1 ball of each of the other colors is 0.1025.
To know more about probability click on,
https://brainly.com/question/11234923
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