Find the perimeter of the parallelogram with these vertices.(-2,2) ,(-2,-2) ,(6,-1) ,(6,-5)
Answers
The perimeter of the parallelogram with these vertices.(-2,2) ,(-2,-2) ,(6,-1) ,(6,-5) is 26 units.
In this explanation, we will find the perimeter of a parallelogram using its vertices' coordinates. The perimeter is the total length of all sides of the parallelogram. To find it, we'll apply the distance formula from coordinate geometry.
A parallelogram is a four-sided polygon with opposite sides parallel and equal in length. To calculate its perimeter, we need to find the lengths of all four sides and then add them together.
Step 1: Find the length of side AB.
Using the distance formula, the length of AB is
= √((-2 - (-2))² + (2 - (-2))²)
= √(0² + 4²)
= √16
= 4 units.
Step 2: Find the length of side BC.
Again, applying the distance formula, the length of BC is
= √((-2 - 6)² + (-2 - (-1))²)
= √((-8)² + 1²)
= √(64 + 1)
= √65 units.
Step 3: Find the length of side CD.
By using the distance formula, the length of CD is
= √((6 - 6)² + (-1 - (-5))²)
= √(0² + 4²)
= √16
= 4 units.
Step 4: Find the length of side DA.
Once more, applying the distance formula, the length of DA is
= √((6 - (-2))² + (-5 - 2)²)
= √((8)² + (-7)²)
= √(64 + 49)
= √113 units.
Step 5: Calculate the perimeter.
The perimeter is the sum of all four sides:
= AB + BC + CD + DA
= 4 + √65 + 4 + √113
≈ 4 + 8.06 + 4 + 10.63
≈ 26 units.
Therefore, the perimeter of the parallelogram defined by the given vertices is approximately 26 units.
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Related Questions
How likely is it to spin a vowel on this spinner?
A Certain
B Likely
C As likely as not
D Unlikely
E Impossible
Answers
Help me with this pls??
Answers
Answer:
36.7
Step-by-step explanation:
Divide it into 2 shapes: the cylinder and the cone
The volume of the cylinder is 1^2 * (13-2) * pi = 11pi
The volume of the cone is 1^2 * 2 * 1/3 * pi = 2/3 pi
11pi + 2/3pi = 11 2/3 pi
11 2/3 pi is approx. 36.7
the rate at which people learn about a secret is directly proportional to the number of people who know the secret. If two people know the secret on day 0, and 20 people know it on day 2, how long will it take for the whole school (4000 people) to know?
Answers
Answer:
See explanation.
Step-by-step explanation:
Hello, your question is not very clear.
Based on the limited information, this is how we go about it.
If the rate at which people learn about a secret is directly proportional to the number of people who know the secret and 20 people know it on day 2, then the unit rate is 10.
That is the constant of proportionality is 10.
The direct variation equation is
[tex]y = 10x[/tex]
We want to find how long it will take take for a whole school population of 4000 people to know the secret.
We put y=4000 and solve for x.
[tex]4000 = 10x[/tex]
[tex]x = 400[/tex]
Hence it will take 400 days.
Suppose a circle with center (1, −3) passes through point (1, −1). Which equation represents the circle?
Answers
Answer:
(2,-4)
Step-by-step explanation:
Answer:
It is C) (x − 1)^2 + (y + 3)^2 = 4
Step-by-step explanation:
The radius is the distance between the center and the point on the circle.
Center: (1, −3); Point: (1, −1)
Distance formula: d = square root of {(x2 - x1)^2 + (y2 - y1)^2}
r = square root of {(1 − 1)^2 + (−1 + 3)^2 }
r = square root of {0 + 4 } = 2
(x − h)^2 + (y − k)^2 = r2 ----> (x − 1)^2 + (y + 3)^2 = 4
Hope this isn't confusing and helps. I also know its right because I just did this on USA Testprep.
Which of the following accurately compares minus positive square root of 15 - 105 and five
Answers
Answer:
I think it’s ^ 105 is slightly more than 10 so 15-^105 is greater than 5
Step-by-step explanation:
That’s my guess
Answer:
^ 105 is slightly more than 10 so 15-^105 is Less than 5
Step-by-step explanation
I ready math
SOMEONE PLEASE HELP ME WITH THIS PROBLEM I ONLY HAVE 5 MINUTES TO DO IT YOU DONT NEED TO SHOW WORK ON HOW YOU GOT IT JUST THE RIGHT ANSWER IS FINE THANK YOU!
Answers
Answer:
234.3
Step-by-step explanation:
You use Law of Cosines:
a^2 = b^2 + c^2 - 2bc(cosA)
Plug in the values
a^2 = 400^2 + 375^2 - 2(400*375)(cos35)
a = sqrt(160000+140625-300000(cos35))
a = sqrt(300625 - 300000cos(35))
a is approx. 234.263498466, which rounds to 234.3
Evaluate the expression
[6+9 x (4-2)] ÷ 4+2
Answers
Answer:
8
Step-by-step explanation:
4-2=2
2x9=18
18+6=24
24/4=6
6+2=8
=8
To solve the expression [6+9 x (4-2)] ÷ 4+2, use the order of operations (PEMDAS), resulting in the answer 8.
The subject of this question is Mathematics and it involves the steps of evaluating the given mathematical expression, [6+9 x (4-2)] ÷ 4+2, which is a task typically encountered in middle school.
To solve this problem, we employ the Order of Operations, which can be remembered by the acronym PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
Solve the expression in the parentheses: 4-2 = 2
Multiply 9 by the result from the parentheses: 9x2 = 18
Add 6 to the product: 6+18 = 24
Divide the sum by 4: 24 ÷ 4 = 6
Add 2: 6+2 = 8
Thus, [6+9x(4-2)] ÷ 4+2 equals 8.
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A cube has a net with area 600 in2. How long is an edge of the cube?
Answers
Answer : The length of an edge of cube is, 10 inches.
Step-by-step explanation :
The formula used for area of cube is:
Area of cube = [tex]6a^2[/tex]
where,
a = edge
We are given that:
Area of cube = [tex]600in^2[tex]
Now put all the given values in the above formula, we get:
Area of cube = [tex]6a^2[/tex]
[tex]600in^2=6a^2[/tex]
[tex]a=10inches[/tex]
Therefore, the length of an edge of cube is, 10 inches.
A rocket is launched from a tower. The height of the rocket, y in feet is related to the time after launch, x in seconds, by the given equation. Using this equation, find the maximum height reached by the rocket, to the nearest tenth of a foot.
y=-16x^2+165x+78
Answers
To find the maximum height reached by the rocket, we need to find the vertex of the quadratic equation. The maximum height is approximately 270.6 feet.
Explanation:To find the maximum height reached by the rocket, we need to find the vertex of the quadratic equation. The equation is in the form of y = ax^2 + bx + c, where a = -16, b = 165, and c = 78. The x-coordinate of the vertex is given by -b/2a, and the y-coordinate is the value of y when x is the x-coordinate of the vertex. Plugging in the values, we find that the maximum height reached by the rocket is approximately 270.6 feet.
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Choose the ratio that is equivalent to this one. 1/6
A. 3/8
B.4 2/4
C. 2/6
D. 12 / 2
Answers
Answer:
Answer is none of these
Step-by-step explanation:
ask questions with correct options.
anyway don't repeate the mistakes again.
HAVE A NICE DAY!
THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.
This means that √31 is between
Answers
Answer:
5 and 6
Step-by-step explanation:
it would be about 5.7 because the square root of 5 is 25 and the square root of 6 is 36
In a randomly generated list of numbers from 0 to 8, what is the chance that each number will occur
Answers
Answer:
There is an 11.1111111% chance of each number coming up.
Step-by-step explanation:
100 / 9= 11.1111111
Answer:
1/9
Step-by-step explanation:
A P E X
Find all of the polar coordinates of point P if P =
Answers
Answer:
B is the correct answer
The greatest common factor (GCF) of x2, x5, xº is
Answers
Answer:
1.
Step-by-step explanation:
That would be x^0 which is 1.
Any number, variable or expression taken to the power 0 is equal to 1.
Answer:
1
Step-by-step explanation:
X2,x5,x°
X2=1,x,x
X5=1,x,x,x,x,x
X^0=1
So when comparing the factor is greater in the 3 give Variables
It was observed that 1 is the greatest variables
What is the height of the prism? 7 cm 14 cm 21 cm 30 cm
Answers
Answer: 61740
Multiply
Answer:
where is the image?
Which numbers are irrational? Select all that apply.
StartFraction 9 Over 15 EndFraction
StartRoot 18 EndRoot
StartRoot 9 EndRoot
StartRoot 169 EndRoot
StartRoot 78 EndRoot
Pi
Answers
The irrational numbers from the list are [tex]\sqrt{ 18},\ \sqrt{78}[/tex] and [tex]\pi[/tex]
To find: all numbers that are irrational
Irrational numbers are those that cant be expressed as a ratio of integers
[tex]\frac{9}{15}[/tex]: This fraction is written as a fraction of integers 9 and 15. Thus it is a rational number.[tex]\sqrt{18}[/tex]: It can be simplified to [tex]3\sqrt{2}[/tex] and as [tex]3\sqrt{2}[/tex] cant be expressed as a fraction of integers, [tex]\sqrt{18}[/tex] is an irrational number[tex]\sqrt{9}[/tex]: The square root of 9 is 3 and 3 can be expressed as a fraction of integers 3 and 1. So, [tex]\sqrt{9}[/tex] is a rational number.[tex]\sqrt{169}[/tex]: The square root of 169 is 13. 13 can be expressed as a fraction of integers so, [tex]\sqrt{13}[/tex] is a rational number[tex]\sqrt{78}[/tex]: It cannot be simplified further and cant be expressed as a fraction of integers so, [tex]\sqrt{78}[/tex] is irrational [tex]\pi[/tex]: It has a non-terminating and non-repeating decimal expansion and so cannot be expressed as a fraction of integers. Therefore, [tex]\pi[/tex] is an irrational numberThus, the irrational numbers from the list are [tex]\sqrt{ 18},\ \sqrt{78},\ \pi[/tex]
A. 2 1/6
B. 2 2/3
C. 2 5/6
D. 2 7/6
Answers
A cone has a diameter of 18 units and a height of 8 units. What is its volume?
Answers
[tex] \bold{answer \: \: : } \\ \rm{volume = \frac{1}{3} \pi{r} ^{2} t} \\ = \frac{1}{3} \times 3.14 \times {(18 \div 2) }^{2} \times 8 \\ = \frac{1}{3} \times 3.14 \times {9}^{2} \times 8 \\ = \frac{1}{3 } \times {3.14} \times 81 \times 8 \\ = \frac{1}{3} \times 254.34 \times 8 \\ = \frac{1}{3} \times 2034.72 \\ = \frac{2034.72}{3} \\ = \boxed{ \boldsymbol{678.24 }\: \: \rm{units}}[/tex]
Abbie opened a no-interest bank account with $20, and she de
Carlos opened a no-interest bank account with $28, and he de
Carlos and Abbie do not make any withdrawals from their acco
be used to find w, the number of weeks it will take for the bal
same.
20+14.50w = 28 +12.50w
Answers
14.50 (4) + 20= 78
12.50 (4) + 28= 78
Answer:
4 weeks
Step-by-step explanation:
Graph a line with a slope of 2/5 with a point of -2/4
Answers
Answer:
See photo
Step-by-step explanation:
To graph a straight line, you need two points, then connect them.
Your first point is given: (-2, 4)
To get the next point, use the slope.
The slope 2/5 is written rise / run.
Rise is the number of units going up, or down if it's a negative number.
Run is the number of units rightwards.
Take the first point (-2, 4), and add the rise to the y-value. Add the run to the x-value.
x = -2, run = 5
New x = 3
y = 4, rise = 2
New y = 6
New point: (3, 6)
Plot the two points on the grid, then connect the dots.
Remember to put arrows at both ends of your graph.
Answer:
I NEED HELP ON A QUESTION LIKE THIS PLEASE
Step-by-step explanation:
Find the perimeter of the figure to the nearest hundredth.
Answers
Answer:
60.00 in^2
Step-by-step explanation:
First focus on the area ABOVE the dotted line. The shape here is that of a trapezoid. The two leg lengths are 12 in and 18 in (18 in is the diameter). At the far right of this trapezoid we can picture a triangle of base 3 in, height h and hypotenuse 5 in. Using the Pythagorean Theorem, we get h = 4 in.
This 4 in measurement is the width of the trapezoid. Thus, we are now ready to apply the formula for the area of a trapezoid: A = (average length of legs)*(width).
Here that area comes out to
12 in + 18 in
A = --------------------- * 4 in = 15 in*4in = 60 in^2, or (to the nearest hundredth)
2 60.00 in^2
Find the 8th term in the following geometric sequence. 28,14,7,3.5,...
Answers
Answer: 0.21871
Step-by-step explanation:
28
14
7
3.5
1.75
0.875
0.4375
0.21871
Final answer:
To find the 8th term in a geometric sequence, identify the common ratio and use the formula for the nth term. The 8th term of the sequence is 1.75.
Explanation:
Geometric Sequence:
Identify the common ratio: The common ratio is found by dividing any term by the previous term in the sequence. In this case, the common ratio is 0.5 (14/28 = 0.5).
Find the 8th term: Using the formula for the nth term of a geometric sequence [tex](a_n = a_1 * r^{(n-1)}),[/tex] plug in [tex]a_1 = 28[/tex], r = 0.5, and n = 8 to find the 8th term.
The 8th term of the sequence will be equal to 1.75.
What is the value of y
Answers
Answer:
31 degrees
Step-by-step explanation:
The 2 angles are vertical and vertical angles are always equal!! So, y=31 degrees. Hope it Helped!!
Line segment WX is the radius of circle X, and line segment ZY is the radius of circle Y. Points W, X, C, Y, and Z are all on line segment WZ. What is the area of circle C, which passes though points W and Z? 81Pi units squared 164Pi units squared 324Pi units squared 1296Pi units squared
Answers
Answer:
324Pi
Step-by-step explanation:
Help ASAP ! I’ll mark as brainlist
Answers
Answer:
1031 Meters
Step-by-step explanation:
You would use the Pythagorean Theorem to solve it which would be a^2 + b^2 = c^2 and a would be 800 and b would be 650 in this circumstance you would try to find C which would be glenn blvd.
The length of the Glenin Blvd road is 1030.77 m.
Step-by-step explanation:
Given,
Length if Main street (b) = 800 m
Length of Oak street (l) = 650 m
To find the length of Glenin Blvd (h) road
The given diagram forms a right angle triangle where Main street is the base, Oak street is the height and Glenin Blvd road is the hypotenuses.
Formula
Pythagoras theorem: b²+l² = h²
So,
h² = 800²+650²
or, h² = 1062500
or, h = 1030.77 (approx)
Hence,
The length of the Glenin Blvd road is 1030.77 m.
If the minute hand is 5.25 in. long. What is the circumference of the circle?
Answers
In this example, the minute hand is our radius, because it’s half the internal length of the circle.
The circumference of the circle is equal to pi x diameter.
Since diameter is twice the radius, we can do 5.25 x 2 = 10.5.
From there, we can substitute and solve.
pi x diameter
pi x (10.5)
If we’re representing pi as 3.14, the answer will come out to 32.97.
If we’re representing pi in its calculator function form, it’ll be roughly 32.986723.
So either of those could be your answer depending on how pi is represented.
Hope that helps! :)
Compute the average (mean) from the data shown. (round to the nearest whole number)
{42 , 30 , 79 , 99 , 72 , 24 , 89 , 91 , 78 , 69}
A) 67
B) 68
C) 69
D) 70
Answers
Answer:67
Step-by-step explanation:
42+30+79+99+72+24+89+91+78+69=673
673÷10=67.3
You divide by ten because that is how many numbers there are
you have to add all numbers and when you add them you get 673, then, you have to divide 673 by 10 because there are 10 numbers in the data set. you are going to get 67.3 which rounded to the nearest whole number is 67.
The degree of the product is the ____ of the degrees of the factors
Answers
Answer:
Sum
Step-by-step explanation:
Its right
The degree of the product is the sum of the degrees of the factors.
What is the degree of a polynomial?The degree of a polynomial is the highest power of the variable in the polynomial.
The length of a box is (4x -1)
The width of a box is x
The height of a box is x³
The volume of the box is determined by
Length * Width * Height
Volume = (4x -1) * x * x³
Volume = 4x⁵ - 4x⁴
The degree of length is 1
The degree of width is 1
The degree of height is 3
The degree of Volume = 5
The degree of the product is the sum of the degrees of the factors.
It seems that your question is incomplete, the complete question is attached with the answer.
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Which of the following lists of ordered pairs is a function?
O A. (2, 4), (3,9), (4,16), (5,25)
O B. (2,4),(-2, 4), (3, 9), (-2,-4)
O c. (1, 1), (2, 3), (1,5), (4,7)
O D. (0, 2), (4,2), (0, -4), (4, -2)
SUBMIT
Answers
Answer:
c
Step-by-step explanation:
because c is in ordered pair
4x-4 over 5x+10 times 30x+60 over 2x-2
Answers
Answer:
The answer is 12
Step-by-step explanation:
[tex]\frac{4x-4}{5x+10}*\frac{30x+60}{2x-2}[/tex] We need to factor the expression
[tex]\frac{2(2x-2)}{5x+10} *\frac{30x+60}{2x-2}[/tex] Now we reduce the expression
[tex]2*6[/tex] Then we multiply the numbers
[tex]12[/tex] Now we have the answer