What is the perimeter of rhombus ABCD?
10 units
20 units
2√7 units
4√7 units

What Is The Perimeter Of Rhombus ABCD?10 Units20 Units27 Units47 Units

Answers

Answer 1

Answer:

The perimeter of the rhombus is 20 units

Step-by-step explanation:

One important fact about a rhombus is that all four of its sides are equal, so we only need to solve for one side in order to find the perimeter. We can use the Pythagorean Theorem to solve the side length of the rhombus. Using line AD as a reference, we know that the length of AD is the square root of the change in x squared plus the change in y squared, or [tex]\sqrt{3^{2}+4^{2} } =\sqrt{9+16} =\sqrt{25}=5[/tex] units. Multiply the length of AD by 4 and you'll get that the perimeter of rhombus ABCD is 5 × 4 = 20 un.

Answer 2

The perimeter of the rhombus ABCD is 20 units.

Option B is the correct answer.

What is a rhombus?

A rhombus is a quadrilateral that has four equal sides.

Some of the properties we need to know are:

- The opposite sides are parallel to each other.

- The opposite angles are equal.

- The adjacent angles add upto 180 degrees.

We have,

We can use the distance formula to find the length of each side of the rhombus, and then add them up to find the perimeter.

The distance between points A and B is:

[tex]AB = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\\= \sqrt{(-2 - 1)^2 + (-3 - 1)^2}\\ = \sqrt{9 + 16}\\= \sqrt(25) \\= 5[/tex]

The distance between points B and C is:

[tex]BC = \sqrt{(x2 - x1)^2 + (y2 - y1)^2}\\= \sqrt{(-5 - (-2))^2 + (1 - (-3))^2}\\ = \sqrt{9 + 16}\\= \sqrt{25}\\= 5[/tex]

The distance between points C and D is:

[tex]CD = \sqrt{(x2 - x1)^2 + (y2 - y1)^2}\\ = \sqrt{(-2 - (-5))^2 + (5 - 1)^2}\\ = \sqrt{9 + 16}\\ = \sqrt{25}\\ = 5[/tex]

The distance between points D and A is:

[tex]DA = \sqrt{(x2 - x1)^2 + (y2 - y1)^2}\\ = \sqrt{(1 - (-2))^2 + (1 - 5)^2}\\ = \sqrt{9 + 16}\\= \sqrt{25}\\ = 5[/tex]

Since a rhombus has all sides of equal length, we can add up the lengths of the sides to find the perimeter:

P = AB + BC + CD + DA = 5 + 5 + 5 + 5 = 20

Therefore,

The perimeter of the rhombus ABCD is 20 units.

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Related Questions

On a scale drawing, 9 inches
represents 11 miles. How many
inches represent 55 miles?

Answers

Answer: you will get 45

Step-by-step explanation:

If you do 9x5=45 and 11x5=55

So the answer would be 45

Sue is traveling to Florida for vacation. Her flight takes off and the plane travels at a constant speed of 337 miles per hour. It takes her 5 hours to get to her destination. How many miles did she travel?



PLEASE HELP!!!

Answers

Answer:

Sue traveled 1,685 miles.

Step-by-step explanation:

337 x 5

(300 x 5) + (30 x 5) + (7 x 5)

1,500 + 150 + 35

1,650 +35

1,685

2
Two figures are similar, and the scale factor is
2
Over
3

If a side of the larger figure is 12, then the corresponding side in the smaller figure is…..
6
8
12
18

Choose an answer

Answers

The correct answer is 6

HURRY PLS
Explain how an enlargement or a reduction in the dimensions of a building would cause a change in the scale factor.

Answers

The enlargement or a reduction in the dimensions of a building would cause a change in the scale factor is defined below:

What is Scale Factor?

A scale factor in math is the ratio between corresponding measurements of an object and a representation of that object. If the scale factor is a whole number, the copy will be larger. If the scale factor is a fraction, the copy will be smaller.

A dilation is a transformation that enlarges or reduces a figure in size. This means that the pre image and image are similar and are either reduced or enlarged using a scale factor.

As seen in the graphics below. A reduction (think shrinking) is a dilation that creates a smaller image, and an enlargement (think stretch) is a dilation that creates a larger image.

If the scale factor is between 0 and 1 the image is a reduction.

Using dilation scale factors, we can shrink or expand a figure to the size we desire, knowing that each angle is congruent, each segment is proportional, the slope of each segment is maintained, and the perimeter of the pre image and image have the same scale factor.

Hence, this is how an enlargement or a reduction in the dimensions of a building would cause a change in the scale factor.

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Tanner bought 6 chocolates. Maggie bought c times as many chocolates as Tanner. Write an expression that shows how many chocolates Maggie bought.

Answers

Answer:

The equation that we most use to find how many chocolates Maggie bought would be:
6 x c = how many chocolates Maggie bought


Maggie bought c times as many chocolates as Tanner. This means to find how many chocolates Maggie bought we would multiply the c (Being how many times more chocolates Maggie bought) by 6 to find the number of chocolates Maggie bought`.






For example:
If the question stated Maggie bought 4 times as many chocolates as Tanner, the equation would be; 6 x 4 = how many chocolates Maggie bought. Which would be 24 chocolates.









Step-by-step explanation:

Have a great rest of your day
#TheWizzer

What is the unfilled volume inside the cylinder? 320π cubic units 597π cubic units 640π cubic units 725π cubic units

Answers

The unfilled volume inside the cylinder is 640π cubic units

How to find unfilled volume?

Volume of a cylinder = πr²h

= π × 8² × 15

= π × 64 × 15

= 960π cubic unit

h = heightr = radiusl = slant height

Volume of a cone = 1/3πr²√l² × r²

= 1/3 × π × 8² √17² × 8²

= 1/3 × π × 64 √289 × 64

= 1/3 × π × 64 √353

= 320π cubic unit

Unfilled volume = 960π cubic unit - 320π cubic unit

= 640 cubic unit

The complete question:

A solid oblique cone with a slant length of 17 units is inside an empty cylinder with a congruent base of radius 8 units and a height of 15 units. What is the unfilled volume inside the cylinder? 320π cubic units 597π cubic units 640π cubic units 725π cubic units

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Answer:

640pi

Step-by-step explanation:

Math
What can you say about the mean rainfall when comparing the two time periods?

The mean in period 2 is higher than the mean in period 1.
The mean in period 1 is higher than the mean in period 2.
The mean in period 1 is the same as the mean in period 2.

Answers

Answer:

[tex]\bullet \ \large\text{The mean in period 2 is higher than the mean in period 1.}[/tex]

Step-by-step explanation:

the mean in period 1 :

(2.3+2.1+2.2+2.2+2.2+2.1+2.4+2.5+2.2+2.0+1.9+1.9+2.1+2.2+2.3)÷15=21.733...

the mean in period 2 :

(2.3+2.1+3.3+1.5+3.6+1.6+3.0+1.1+4.7+2.1+2.4+1.9+2.8+0.5+2.3)÷15=23.466...

Since 23.466 > 21.733 then “The mean in period 2 is higher than the mean in period 1”.

Solve the inequations

3(1-2x) > 3-6x

Answers

Answer:

no solutions

Step-by-step explanation:

3(1-2x) > 3 -6x, distribute multiplication by 3 over the subtraction

3 - 6x > 3 - 6x, because the left side is the same as the right side

this statement is never true, therefore this inequality has no solutions.


could you help me with 15 please?

Answers

Answer: 11 pounds

Step-by-step explanation:

Total weight of the first 8 backpacks

8*14

= 112 pounds

Total weight of the second 12 backpacks

12*9

= 108 pounds

Total weight of the whole 20 backpacks

112+108

= 220 pounds

therefore the mean weight of the 20 backpacks is

220 / 20

= 11 pounds

Work out the sheet below

Answers

Answer:

It might be 235.62

Step-by-step explanation:

Answer:

[tex]235.6\ cm^3[/tex]

Step-by-step explanation:

Volume of a cone: [tex]\frac{1}{3} \pi r^2 h[/tex]

[tex]\frac{1}{3} \pi r^2 h\\r = 5\\h = 9\\\frac{1}{3} \pi (5)^2(9)\\\frac{1}{3} \times \pi \times 25 \times 9\\= 75 \pi\\= 235.619449...\\= 235.6\ \text{(1 d.p.)}\ cm^3[/tex]

Solve the system by substitution.
y= -6x-7
y= -7x

Answers

Answer:

 x = 7

 y = -49

Step-by-step explanation:

Solving system of equation by substitution method.

           y = -6x - 7 ---------------(I)

           y = -7x -------------------(II)

Substitute y = -7x  in equation (I)

          -7x = -6x  - 7

   -7x + 6x = -7

            -x   = -7    

Multiply both sides by (-1)

           [tex]\sf \boxed{\bf x = 7}[/tex]

Substitute x =7 in equation (II)

       y = -7*7

       [tex]\sf \boxed{\bf y = -49}[/tex]

Answer:

X = 7 Y = -49

Step-by-step explanation:

Y= -6 X -7---------(1)

Y= -7 X ------------(2)

using substitution method, substitute equation two into equation one

-7 X = -6X -7

-7 X+6X = -7

- X = -7

cancelling the - sign on bothsides

X = 7

put X = 7 into equation (2)

Y = -7(7)

Y = -49

therefore, X = 7 Y= -49

If B is 60% more than A, then A is
A. 37.5% less than B.
B. 37.5% of B
C. 60% less than B
D. 60% of B

Answers

Answer:

37.5% less than B

Step-by-step explanation:

It is given that B is 60% more than A.

A (160%) = BA = B / (160%)A = B / (8/5)A = 5B/8A = 0.625BA = (62.5%) B

Since A is 62.5% of B, it is 37.5% less than B.

Answer:

A. 37.5% less than B

Step-by-step explanation:

We can write an equation to model this:

B being 60% more than A means that:

B=0.6A+1A

B=1.6A

Let's isolate A.

A=B/1.6

Multiply the top and bottom by 10 to get whole numbers

A=10B/16

Simplify

A=5B/8

5/8 = 62.5%

A=0.625B

Therefore, A is 62.5% of B

This means that A is 37.5% less than B.

How many full cases and additional items are needed to fulfill the order

Answers

There are 13 full cases and 2 additional items needed to fulfill the order

How to determine the full cases and additional items?

The given parameters are:

Items ordered = 80Items per case = 6

The number of cases is:

Case = 80/6

Evaluate

Case = 13 Remainder 2

This means that:

The full case is 13 and the additional item is 2

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Someone help me with this question please

Answers

Answer:

0.6.

Step-by-step explanation:

Sin A = opposite side / hypotenuse

= 3/5 = 0.6.

Answer: 0.6.

Step-by-step explanation:

Sin A = opposite side / hypotenuse

= 3/5 = 0.6.

Juan went to the store to buy a plant for his mother, but forgot to ask which kind to get. Out of 30 plants, nine of them are a kind that his mother would want. If Juan chooses one randomly, what is the probability that he will choose a kind that his mother would want?

A. 40%
B. 30%
C. 0.3%
D. 9%

Answers

Answer:

B

Step-by-step explanation:

because 30% out of 30 is 9

what is the midpoint of (4,10) (16,0)

Answers

I’d say 10,5 but I don’t know what method your using so it’s a guess

Answer:

Midpoint(10,5)

Step-by-step explanation:

Midpoint of coordinates

 To find the midpoints add the x-coordinates and divide that by 2 & add the y-coordinates and divide by 2

            [tex]\boxed{\text{\bf midpoint=$\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)$}}[/tex]

                               [tex]\sf = \left(\dfrac{4+16}{2},\dfrac{10+0}{2}\right)\\\\=\left(\dfrac{20}{2},\dfrac{10}{2}\right)\\\\= \left(10,5\right)[/tex]

What is the mean absolute deviation.

Answers

Answer:

1.56 rounded 1.6

Step-by-step explanation:

MAD (Mean Absolute Value):

step 1: Find the mean of the data

formula: sum of the data set / total number of terms

sum of the data set: 4 + 9 + 4 + 5 + 3 = 24

total number of terms: there is 5 numbers in the data set

mean = 24 / 5

mean = 4.8

step 2: Find the distance between each data and mean.

3, 4, 4, 5, 9

Distance between 3 and 4.8 is 1.8                 (4.8 - 3 = 1.8)

Distance between 4 and 4.8 is  0.8               (4.8 - 4 = 0.8)

Distance between 4 and 4.8 is  0.8               (4.8 - 4 = 0.8)

Distance between 5 and 4.8 is -0.2               (4.8 - 5 = -0.2)

Distance between 9 and 4.8 is -4.2               (4.8 - 9 = -4.2)

step 3: take the absolute value of any negative numbers

|-0.2| and |-4.2| is 0.2 and 4.2

step 4: add all the distances

1.8 + 0.8 + 0.8 + 0.2 + 4.2 = 7.8

step 5: divided it by the number of data

7.8 / 5 = 1.56

Let me know if you have any questions !

In a particular class of 28 students, 12 are men. What fraction of the students in the class are men?​

Answers

Answer:

12/28

Step-by-step explanation:

the answer is 12/28 because 12 are men and the rest are mos likely girls,

Answer:

12 / 28

Step-by-step explanation:

Given:

- 28 students total

- 12 are men

so 12 out of the 28 are men which is the same as 12 / 28

find the center and the radius of the circle (x-7)^2+(y+4)^2=81

Answers

A circle is a curve sketched out by a point moving in a plane. For the given equation of a circle, the centre will lie at the coordinate (7,-4), while the radius will be equal to 9 units.

What is the equation of the circle with radius r units, centred at (x,y)?

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.

If a circle O has a radius of r units length and it has got its centre positioned at (h, k) point of the coordinate plane, then, its equation is given as:

(x-h)² + (y-k)² = r²

Given the equation of the circle is (x-7)²+(y+4)²=81. The equation can be  rewritten as,

(x-7)² + [y-(-4)]² = 9²

Hence, For the given equation of a circle, the centre will lie at the coordinate (7,-4), while the radius will be equal to 9 units.

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How many solutions are there to the equation below?
4(x - 5) = 3x + 7
Ο Α. Ο
O B. Infinitely many
O c. 1

Answers

Answer : c
Explanation:
4(x-5)=3x+7
4x-20=3x+7
4x-3x=7+20
x=27

Britney is buying a shirt and a hat at the mall. The shirt costs $32.61, and the hat costs $19.82. If Britney gives the sales clerk $100.00. how much change should she receive? (Ignore sales tax.)
A. $44.47
B. $57.32
C. $52.43
D. $47.57

Answers

Answer:

D. $47.57

Step-by-step explanation:

Add up the cost of the two items

$32.61 + $19.82 = $52.43

subtract the cost for the $100

100-52.43 = 47.57

The change is D. $47.57

Answer:

$47.57

Step-by-step explanation:

cost of the t-shirt = $32.61

cost of the hat= $19.32

total cost of items she bought= 32.61+19.82= $52.43

Amount of change she received= 100-52.43= $47.57

Dan bought x pounds of potatoes for $0.85 per pound and y pounds of grapes for $1.29 per pound. The total cost was less than $5. Which inequality represents his purchase?

1.29x + 0.85y < 5
1.29x + 0.85y > 5
0.85x + 1.29y > 5
0.85x + 1.29y < 5

Answers

Answer:

0.85x + 1.29y < 5

Step-by-step explanation:

x and y will be the numbers of grapes and potatoes he purchased.

one last question! so i am doing this equation 6x-5=8x+2 but as I am doing it I got 7/-2 but in my answer key both are negative? what am I doing wrong?

this is what I have so far
6x-5=8x+2
6x-8x=5+2
-2x=7

Answers

Answer:

6x - 5 = 8x + 2

or -5-2 = 8x-6x

or -7 = 2x

or -7 / 2 = x

this is correct answer because in fraction form if one number is negative whole fraction is negative

Hey there!

IF YOUR EQUATION IS:

6x - 5 = 8x + 2
THEN:

SUBTRACT 8x to BOTH SIDES

6x - 5 - 8x = 8x + 2 - 8x

SIMPLIFY IT!

-2x - 5 = 2

ADD 5 to BOTH SIDES

-2x - 5 + 5 = 2 + 5

SIMPLIFY IT!
-2x = 2 + 5

-2x = 7

DIVIDE -2 to BOTH SIDES

-2x/-2 = 7/-2

SIMPLIFY IT!
x = -7/2


The step you had a partial mistake was step 2 because that’s not what had to simplify to get the 7/-2. You should’ve converted your equation to: -2x - 5 = 2 (as I put for STEP 1.1) but your overall result is correct x DOES equal to 7/-2.



Good luck on your assignment and enjoy your day!


~Amphitrite1040:)

The manufacturer of an energy drink spends $1.20 to make each drink and sells them for $2. The manufacturer also has fixed costs each month of $8000.

Find the revenue function R when x energy drinks are sold.

Answers

Revenue is money made in total. It doesn’t matter how much profit, so the manufacturing cost doesn’t matter.

R = 2x + 8000

Mrs Rohit gave a total of $64.90 to her three sons. The eldest son receive $4.30 more than the youngest son. The second son received $7.80 less than the youngest son. How much did the eldest son received?

NO ALGEBRA PLEASE! I HAVENT LEARN IT YET!

Answers

he earned $12.10 from Mrs Rohit

Answer: $25.90

Step-by-step explanation:

We will have x as the youngest son's share, (the youngests son's share is the basis)

(x + 4.30) as the eldest son's share, (the eldest received 4.30 more than the youngest)

(x - 7.80) as the second son's share, (the second received 7.80 less than the youngest)

and 64.90 as their share altogether.

To find the youngest son's share:

(x) + (x + 4.30) + (x - 7.80) = 64.90

x + x + 4.30 + x - 7.80 = 64.90

x + x + x = 64.90 - 4.30 + 7.80 (group all of the like terms together. variables with variables, numbers with numbers. 4.30 became negative since it was moved to the other side, the same happened with 7.80 since it was a negative, it became a positive when it moved to another side)

Solve...

x + x + x = 64.90 - 4.30 + 7.80

3x = 68.40 (divide both sides by 3)

[tex]\frac{3x}{3} = \frac{68.40}{3}[/tex]  

x = 22.80

(The youngest son's share is $22.80)

To get the eldest son's share:

x + 4.30 (substitute x since it has already been solved)

22.80 + 4.30 = 27.10

The eldest son's share is $27.10

2 x - 5 + 7 y - 3 = 9 x - 1 - y -8 Solve For X AND Y (SHOW WORK PLEASE)


(Just so people can get points :D)

Answers

Answer:

[tex]\large\boxed{\sf x = \frac{8y+1}{7} }[/tex]

[tex]\large\boxed{\sf x = \frac{7x-1}{8} }[/tex]

Group the Variable's:

2 x - 5 + 7 y - 3 = 9 x - 1 - y -8

2x -9x + 7y +y = -1 -8 +5 + 3

-7x + 8y = -1

From this find x and y

For X

-7x + 8y = -1

-7x = -1 -8y

7x = 8y + 1

x = (8y +1)/7

For Y

-7x + 8y = -1

8y = -1 +7x

y = (7x -1)/8

2x-5+7y-3=9x-1-y-82x+7y-8=9x-y-92x-9x-8+9=-y-7y-7x+1=-8y-7x=-8y-17x=8y+1x=8y+1/7

Csc2x=2. Please help me !!!

Answers

Answer:

[tex]x=\frac{\pi }{4}[/tex]

Step-by-step explanation:

csc(2x) = 2

is also the same as

sin(2x) = 1/2

so we have to solve for sin(x)=1/2

[tex]x=\frac{\pi }{2}[/tex]

but we want to sin(2x) = 1/2 so we make it.

[tex]\\2x=\frac{\pi }{2} \\x=\frac{\pi }{4}[/tex]

The volume of a cone of height hand base radius r is given by:​

Answers

The volume of a cone is calculated using the formula [tex](\frac{1}{3} )r^2h[/tex], where "h" is the cone's height and "r" is the radius of the base.

Answer:

The formula for the volume of a cone is (1/3)πr2h, where, "h" is the height of the cone, and "r" is the radius of the base.

Step-by-step explanation:

hope it helps you :)

in descending order: 0.03, 1.03, 0.13, 1.13​

Answers

Answer:

1.13, 1.03, 0.13, 0.03

.....

Answer:

1.13, 1.03, 0.13, 0.03.

Step-by-step explanation:

Highest value is 1.13 and lowest is 0.03.

Jesse measured a farm and made a scale drawing. The scale of the drawing was 1 centimeter = 4 meters. If the actual width of the goat pen is 8 meters, how many centimeters wide is the goat pen in the drawing?

Answers

46 is the answer have a great day
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