Rhombus ABCD has vertices A(-1, -2), B(2,2), C(6,5), and D(3,1). The perimeter of the rhombus is
Answers
Answer:
The perimeter of the rhombus is approximately 19.999.
Step-by-step explanation:
First of all, we plot all points that constructs the rhombus, whose outcome is attached below. Diagonals of the rhombus are segments AC and BD, whose lengths are determined by Pythagorean Theorem:
Segment AC
[tex]AC = \sqrt{[6-(-1)]^{2}+[5-(-2)]^{2}}[/tex]
[tex]AC \approx 9.899[/tex]
Segment BD
[tex]BD = \sqrt{(3-2)^{2}+(1-2)^{2}}[/tex]
[tex]BD \approx 1.414[/tex]
The perimeter of the rhombus ([tex]p[/tex]) is calculated by the following equation:
[tex]p = 4\cdot \sqrt{\left(\frac{AC}{2} \right)^{2}+\left(\frac{BD}{2} \right)^{2}}[/tex]
[tex]p = 2\cdot \sqrt{AC^{2}+BD^{2}}[/tex]
[tex]p = 2\cdot \sqrt{9.899^{2}+1.414^{2}}[/tex]
[tex]p \approx 19.999[/tex]
The perimeter of the rhombus is approximately 19.999.
Related Questions
I need help with this
look at picture
Complementary angles
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Answer:
x is equal to 11...........
90°-35°= 55°
Mark as brainlist
A number divided by eight minus thirteen is greater than negative six.
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Answer:
(x/8) - 13 > -6
Step-by-step explanation:
If you want to take it further, add 13 to both sides to make it x/8 > 7. Then divide both sides by 8 to get x by itself. you are left with x > 7/8
Random tip to remember: when dividing by negatives, remember to switch the inequality signs (this is just for future reference)
The point (3 , k) is a distance of 5 units from (0 , 1). Find the two possible values of k.
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......._____________
5 =√(3-0)^2 + (k-1)^2
.......__________
5 =√3^2 + (k-1)^2
25 = 9 + (k-1)^2
16 = k^2 - 2k + 1
k^2 -2k - 15 = 0
(k - 5)(k + 3) = 0
k - 5 = 0.....or.......(k + 3) = 0
k = 5.........or.......k = -3
In a survey of 1090 investors, it was determined that 690 invested in stocks, 575 in bonds and 300 in both stocks and bonds.
a. How many invested in only stocks?
b. How many invested in stocks or bonds?
c. How many did not invest in either stocks or bonds
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something is wrong with your question bc 690 plus 575 equals to 1265
Target buys video games for $25/game. They markup the price by 75%. How much do
they charge customers for a videogame? Do not enter a dollar symbol with your
answer.
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9514 1404 393
Answer:
$43.75
Step-by-step explanation:
The amount of the markup is ...
$25 × 0.75 = $18.75
The final cost to the customer is ...
selling price = purchase price + markup
= $25.00 + 18.75 = $43.75
They charge customers $43.75 for a videogame.
PLZ help me with this question
Answers
Answer:
I believe it's A and D.
If I helped you're welcome. If I didn't I'm sorry.
Answer:
A and D
Step-by-step explanation:
im not too good on fractions but hopefully its right
Michelle deposited $1,600 into an account that is compounded continuously with an annual interest rate of 8%. After t years, there was $3,200 in the account. Based on the given information, if the formula for continuously compounded interest is A = P e r t , where P represents the initial amount of money, r represents the annual interest rate (as a decimal), t represents the number of years, and A represents the amount of money after t years, how many years had the money been in the account? Express your answer as a logarithm.
Answers
Answer:
As a logarithm, the money had been in the account for [tex]t = \frac{\ln{2}}{0.08}[/tex] years.
Step-by-step explanation:
The amount of money in the account after t years is given by:
[tex]A(t) = Pe^{rt}[/tex]
In which P is the initial amount deposited and r is the interest rate, as a decimal.
Michelle deposited $1,600 into an account that is compounded continuously with an annual interest rate of 8%.
This means that [tex]P = 1600, r = 0.08[/tex]
After t years, there was $3,200 in the account. How many years had the money been in the account?
This is t for which [tex]P(t) = 3200[/tex]. So
[tex]A(t) = Pe^{rt}[/tex]
[tex]3200 = 1600e^{0.08t}[/tex]
[tex]e^{0.08t} = \frac{3200}{1600}[/tex]
[tex]e^{0.08t} = 2[/tex]
[tex]\ln{e^{0.08t}} = \ln{2}[/tex]
[tex]0.08t = \ln{2}[/tex]
[tex]t = \frac{\ln{2}}{0.08}[/tex]
[tex]t = 8.67[/tex]
As a logarithm, the money had been in the account for [tex]t = \frac{\ln{2}}{0.08}[/tex] years.
The value of time t is [tex]\frac{ln(2)}{0.08}[/tex].
Given: P=1600
r=8%=0.08
t = ?
A=3200
Using the given compound interest formula we get:
[tex]A=Pe^{rt}\\3200=1600e^{0.08t}\\2=e^{0.08t}\\[/tex]
Take ln on both sides,
[tex]ln(2)=ln(e^{0.08t})\\ln(2)=0.08t\\t=\frac{ln(2)}{0.08}[/tex]
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Name 6 elements of PQR.
Answers
Answer:
josh
rabeesh
ronger
roger
roge
robert
Step-by-step explanation:
please help me.......
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Sam received his monthly credit card statement. He was shocked to find a debit transaction of $2,799 for a smart watch that he hadn’t purchased. He noticed that the fraudulent transaction had been made just a couple of days ago. He was aware that the card had been missing for a several months, but he had forgotten to inform the credit card company about the lost card. What’s the maximum amount sam will have to pay for this fraudulent transaction?
Answers
Answer:
The entire amount
Step-by-step explanation:
Sam will have to incur the amount of the transaction performed, this is because the transaction occurred using his credit card and he also attested to the fact that the card was missing for several month. After losing his credit card, Sam should have informed the credit card company about the development so that necessary steps could be taken, which he failed to do. For these, reason, Sam will have to bear the loss and pay the credit card company the entire sum.
Answer:
Fair credit billing act and the full amount is correct on plato.
Step-by-step explanation:
Help pls!!! Worth 16 points!!!:)))
Answers
Answer:
18: Safe volume: s <= 115. Unsafe: s > 115.
19: 2-a, 1-b, 3-c, 4-d
20a: Justin is incorrect. 12 is a solution. 12 >= 12 is a true statement.
20b: f > 12
Step-by-step explanation:
Please help me out here, I’ve been reposting the same questions and have not seen people not answer mine. :( just please i will give u brainiest
Answers
Answer:
There are infinite solutions because they are the same equation
2D + 1G = 12
and
4D + 2G = 24 (divide by 2) 2D + G = 12
2D + 1G = 12 is the same as 2D + 1G = 12
7.5d=2.5d, lin divides each side by 2.5d, and elena subtracts 2.5d from each side
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Answer:
2.5d is your answer right answer
What's 16/12 + 11/6?
Answers
Answer:
It's 3 1/6 :) I hope it helps
mr Ethan divide the a land that measures 42m by 60m into equal what should be the size of largest square
Answers
Find the factors of 42 using the listing method.
42 - 1, 2, 3, 6, 7, 14, 21, 42
Find the factors of 60 using the listing method also.
60 - 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Identify the common factors of 42 and 60.
42 - 1, 2, 3, 6, 7, 14, 21, 42
60 - 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Common Factors: 1, 2, 3, 6
Therefore, the size of the largest square is 36m² since 6m x 6m is equals to 36m².
Which of the following circles has the greatest circumference? Use 3.14 for the pi.
A circle with radius 4 meters
A circle with diameter 7 meters
A circle with circumference 24 meters
A circle with circumference 5 pi
Answers
Answer:
24 m
Step-by-step explanation:
it is 24metre ok......
The greatest circumference is 25.12 meters.
What is a circle?A circle is a two-dimensional figure with a radius and circumference of 2πr.
The area of a circle is πr².
We have,
A circle with a radius of 4 meters.
Circumference.
= 2πr
= 2 x 3.14 x 4
= 25.12 meters
A circle with a diameter of 7 meters
Radius = 7/2 meters
Circumference.
= 2πr
= 2 x 3.14 x 7/2
= 21.98 meters.
A circle with a circumference of 24 meters
Circumference = 24 meters
A circle with a circumference of 5 pi
Circumference = 5π
= 5 x 3.14
= 15.7 meters
Thus,
The greatest circumference is 25.12 meters.
Learn more about circle here:
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About 16% of people who get their feet examined are found to have athlete's foot. What is the probability of a podiatrist examining five people until he finds the first patient who has athlete's foot? (0.16)^5 (0.84)^4(0.16)^1 (0.16)^4(0.84)^1 (0.84)5 1 − (0.16)^4
Answers
Answer:
Step-by-step explanation:
(84/100)^4(16/100)
(0.84)^4(0.16)^1
PLZ ANSWER QUICKLY! POINTTTSSS POINTTTSS! THX
If f(x) = 3(x + 4), find f(2).
729
243
81
18
Answers
Answer:
18
Step-by-step explanation:
We just substitute x
3(2+4)=6+12=18
A Ferris wheel has a 44-foot radius and the center of the Ferris wheel is 50 feet above the ground. The Ferris wheel rotates in the CCW direction at a constant angular speed of 3 radians per minute. Josh boards the Ferris wheel at the 3-o'clock position and rides the Ferris wheel for many rotations. Let tt represent the number of minutes since the ride started.
Write an expression (in terms of t) to represent the number of radians Josh has swept out from the 3-o'clock position since the ride started.
How long does it take for Josh to complete one full revolution (rotation)?
________ minutes
Write an expression (in terms of t) to represent Josh's height above the center of the Ferris wheel (in feet).
Write a function f that determine's Josh's height above the ground (in feet) in terms of t.
f(t)=
Answers
Answer:
Part A
The expression in terms of 't' representing the number of radians Josh has swept since the ride started is 3·t rad
Part B
The time to complete one revolution is (2·π/3) minutes
Part C.
The function 'f' that determines Josh's height above the ground (in feet) in terms of 't' is, f(t) = 44·sin(3·t + π/2) + 50
Step-by-step explanation:
The radius of the Ferris wheel = 44 foot
The height of the Ferris wheel above the ground = 50 feet
The direction of rotation of the Ferris wheel = CCW
The angular speed of the Ferris wheel, ω = 3 radians per minute
The position from which Josh boards the Ferris wheel = 3-O'Clock
The number of minutes since the ride started started = t
Part A
The expression in terms of 't' to represent the number of radians Josh has swept since the ride started = ω × t = 3 × t rad = 3·t rad
Part B
One complete revolution = 2·π radians
The time to complete one revolution = 2·π/ω = 2·π/(3 rad/minute) = (2·π/3) minutes = [tex]0.\overline{6}[/tex]·π minutes ≈ 2.0943951 minutes
Part C.
The height, 'h', of the Ferris wheel is given by the following sinusoidal relation
f(t) = A·sin(B·t + C) + D
Where;
A = The amplitude = The radius of the Ferris wheel = 44 ft.
The period, T = (2·π/3) minute
B = 2·π/T = 3
t = The time in minutes
D = The Ferris wheel's height above ground = 50 ft.
C = The horizontal shift = π/2 (Josh boards the Ferris wheel at t = 3-O'Clock which is the midline, a rotation of π/2 from the lowermost end of the Ferris wheel)
Therefore the function that determines Josh's height above the ground (in feet) in terms of 't' is presented as follows;
f(t) = 44·sin(3·t + π/2) + 50
For a dilation with a scale factor less than 1, how do the angles and side lengths of the preimage relate to the angles and side lengths of the image?
A. Angle are proportional;side lengths are larger
B. Angles are proportional;side lengths are smaller
C. Angles are congruent;side lengths are larger
D. Angles are congruent; side lengths are smaller
Answers
The dilation of an image with a scale factor less than 1 will have the angle proportional to the preimage, and the side lengths have been smaller. Thus, option B) is correct.
The dilation factor has been the scale factor that has been used for the enlargement or reduction of the image. The images with a dilation factor of more than 1 enlarge, while the images with a dilation factor less than 1 shrinks.
The angle of the image with a scale factor less than 1 has been proportional as with shrinking, the angles have been reduced proportionally with the scale factor.
The reduction in scale factor from 1 will shrink the image. The shrinked image will be consist of a smaller size. So there has been a reduction in the side length of the image.
So, with the image with dilation of scale factor less than 1, the angles are proportional while the side length is smaller. Thus option B) is correct.
For more information, refer to the link given below:
https://brainly.com/question/17267403
NEED IMMEDIATE HELP I DIDNT GET ANYTHING THE TEACHER TAUGHT ME TODAY! Can someone please answer all my questions? I would really appreciate it! I need to get my math grade up. :)
To see my questions download the PDF and you can answer all of them for me. :)))))
Answers
Answer:
Step-by-step explanation:
In similar triangles, the corresponding sides will be in same ratio
[tex]2) \frac{x}{8}=\frac{30}{15}\\\\x =\frac{30}{15}*8\\\\x=2*8\\\x = 16[/tex]
[tex]3) \frac{x}{20}=\frac{12.8}{16}\\\\x = \frac{12.8}{16}*20\\\\x= \frac{128}{8}\\\\x = 16[/tex]
[tex]\frac{y}{10}=\frac{12.8}{16}\\\\y=\frac{12.8}{16}*10\\\\\\y=8[/tex]
[tex]4) \frac{x}{15}=\frac{8}{6.4}\\\\x=\frac{8}{6.4}*15\\x=18.75[/tex]
[tex]5) \frac{x}{12}=\frac{22.5}{9}\\\\x=\frac{22.5*12}{9}\\\\x= 30[/tex]
[tex]6)\frac{14}{8}=\frac{7}{4}\\\\\frac{12}{6}=\frac{2}{1}\\\\\frac{10}{5}=\frac{2}{1}[/tex]
As the ratio of corresponding sides are not proportion, these are not similar triangles
HELP...... rewrite the equation by completing the square.
x ^2 +10x+16=0
Answers
Answer:
[tex](x+5)^{2} = 9[/tex]
Step-by-step explanation:
To complete the square you need to add [tex]\frac{b}{2}^{2}[/tex]to both sides. (Parenthesis around b/2)
b = 10
b/2 = 5
(b/2)^2 = 25
[tex]x^{2}[/tex] +10x + 16 = 0
subtract 16 to both sides
[tex]x^{2}[/tex] + 10x = -16
add 25 to both sides
[tex]x^{2}[/tex] +10x + 25 = 9
Perfect Square Trinomial Factoring
[tex](x+5)^{2}[/tex] = 9
quater of 80? its for my maths, thanks xx
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explanation
20*4= 80
hope i helped!
Quarter of 80:
= 80 x 1/4
= 80/4
= 20
What is the volume of a cube with edge lengths of 2/3 units
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Answer:
Step-by-step explanation:
8/27 because if you think about it 2/3 x 2/3 x 2/3 x 2/3 = 8/27
What are the solutions to the equation (m + 1)2 +1 = 5? (1 point)
m = 3 or m = -5
m = 1
m = l or m = -3
m = -3
Answers
Answer:
yes c is correct ... go on keep going
BEST OF LUCK
plases helpppppppppppppppppp
Answers
Hope this helps!
Subtract 4 from 1/6 of 42
Answers
Answer:
3 is the answer
Step-by-step explanation:
1/6 of 42 is 7, 7-4=3
You can search it up if you think I am wrong
Answer:
-3 is the correct answer
SOMEONE HELP PLZZZ ASAP
Answers
So it would be (2x-1)^4
Which is equivalent to (2x-1) (2x-1) (2x-1) (2x-1)
Whenever you do foil and simplify, you get -
16x^4 - 32x^3 + 24x^2 - 8x + 1
(Could I have my first brainliest?)
Answer:
Answer:
(2x−1)(2x−1)(2x−1)(2x−1)
Step-by-step explanation:
Factor 16x4−32x3+24x2−8x+1
16x4−32x3+24x2−8x+1
=(2x−1)(2x−1)(2x−1)(2x−1)
17 is between which two integers ?
Answers
Answer:
Step-by-step explanation:
two integers mean numbers that do not have decimals. Whole numbers
to figure out between what two integers get a calculator
which is 4.123 (to three decimal places)
thus it falls between 4 and 5. since it is above 4 and below 5 and there are no integers in between possible.
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Joshua wants to buy sport shoe cost P435.30 if he saved from his allowance a total of P289.75 how much does he still need to buy the shoe
Answers
Answer:
P 145.55
Step-by-step explanation:
435.30 - 289.75 = 145 .55
