Which expression represents the perimeter of a rhombus with diagonal lengths 8a and 10a?

Answers

Answer 1

Answer:

4a[tex]\sqrt{x}[/tex]41

Step-by-step explanation:

12*2+9x2= Perimeter.

Answer 2

The perimeter P of rhombus is given as

[tex]\rm\bold{ P = 4\sqrt{41}a }[/tex]

The diagonals of rhombus bisect each other at right angles and it has same perimeter as that of a square.

From this property stated above we can formulate  side of rhombus is below in equation (1)

Side and  diagonals of rhombus have following relation

[tex]\rm Let \; the \; side \; of\; rhombus = s\\Length\; of \; first \; diagonal = 8a\\ Length\; of \; second \; diagonal = 10a\\\\According \; to \; the \; identity\; for\; area \; of\; rhombus \\ s^2 = (p/2)^2 +(q/2)^2 ....(1) \\where \; p \; and\; q \; are\; the \; diagonals.[/tex]

so

[tex]\rm s^2 = (10a/2)^2 + (8a/2)^2\\s^2 = 25a^2 + 16a^2 = 41 a^2 \\s= \sqrt{41}a ......(2)[/tex]

Equation (2) represents side of rhombus

So the perimeter P of rhombus is given as

[tex]\rm P = 4\times s[/tex]

[tex]\rm\bold{ P = 4\sqrt{41}a }[/tex]

The perimeter P of rhombus is given as

[tex]\rm\bold{ P = 4\sqrt{41}a }[/tex]

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Related Questions

There are 40 students in The class. Nine of those students are girls. What is the number of boys in the class ?

Answers

Answer:

31 students

Step-by-step explanation:

In Eduardo's collection, the number of butterflies is 12 more than twice the number of moths. If there are x moths, choose the expression that represent the number of butterflies he has.

Answers

Answer:

y = 12 + 2x

Step-by-step explanation:

Given that :

Let number of butterflies = y

Number of moths = x

y = 12 more than twice the number of moths

y = 12 + 2x

Hence, the expression which relates the number of butterflies he has is :

y = 12 + 2x

help !! pls help 6th grade work :(

Answers

Answer:

The answer is 4 m

Step-by-step explanation:

You have two values - the height and length and - and you are missing the width.

The volume (353 m^3) of this rectangular prism is equal to b(ase) x h(eight) x w(idth).

So we can create the equation: 352 = bhw = (8)(11)h = 88h

352/88 = 4

Therefore your missing value is 4.

Sam ran several errands and used 7 gallons of gas. There were 5 gallons left in the tank. (Use g as a variable.)

Answers

Answer:

[tex]g= 2[/tex]

Step-by-step explanation:

Given

[tex]Used = 7[/tex]

[tex]Left = 5[/tex]

Required

Determine the additional gallons used (g)

This is calculated as:

[tex]Left+ g= Used[/tex]

So, we have:

[tex]5 + g = 7[/tex]

Make g the subject

[tex]g = 7 - 5[/tex]

[tex]g= 2[/tex]

20 points
3) Yolanda is building a patio in her backyard. She is interested in using
both bick and woof for the flooring of the patio. Below is the plan she has
created for the patio. All measurement are in feet. Select the expressions
that represent the area of the patio? (SOL 6.7, 6.13) *

Answers

Answer is in the photo. I can't attach it here, but I uploaded it to a file hosting. link below! Good Luck!

tinyurl.com/wpazsebu

find the volume of each figure.show your work. Use 3.14 for pi. Round to the nearest hundredth



number 5 is a 3**

Answers

Pretty sure it’s 2 if not then sorry
Used the formulae you have such as PIE a nd then multiply it and you will most likely get your answer

3:10 how many ways can you do it answer choices answer all fraction and decimals DONT PUT FILES I CANNOT CLICK THEM!!!!

Answers

Answer:whats the question

Explanation:(pls dont report me as soon as u tell me the question i will edit my answer and answer correctly)

Answer:

3/10, 6/20, 9/30, 12/40, 15/50, 18/60, 21/70, 24/80, 27/90, 30/100, 33/110, 36/120, 39/130, 42/140, 45/150, 48/160, 51/170, 54/180, 57/190, 60/200, 0.3

Step-by-step explanation:

A school is planning to construct two rectangular play areas in the playground.
The length of play area A must be 1 foot longer than four times its width. The width of play area B must be 2 feet longer than the width of play
area A, and the length must be 2 feet longer than three times its own width. In
addition, the areas of the two play areas must be equal.
Write a system of equations to represent this situation, where y is the area of the play areas and x is the width of play area A. Which statement
describes the number and viability of the system's solutions?
ОА.
The system has two solutions, but only one is viable because the other results in a negative width.
B.
The system has only one solution, and it is viable because it results in a positive width.
c. The system has two solutions, and both are viable because they result in positive widths.
d. The system has only one solution, but it is not viable because it results in a negative width.

NEED THE ANSWER ASAP

Answers

Answer:

A.

Step-by-step explanation:

I took the test on Edmentum/Plato and that was the answer.

Answer:

A. The system has two solutions, but only one is viable because the other results in a negative width.

Step-by-step explanation:

Which expression below is equivalent to -2(5x – 8)?
(1) -10x +16
(2) -10x – 8
(3) 3x-10
(4) 3x -8

Answers

Answer:

ans= -10× +18

-2(5×-8) distribute -2

-10× + 16

thank u i hope that helps

I need help with this!!! Someone help!!

Answers

Step-by-step explanation:

This would be the point of intersection.

If you are not given the graph, make the equations equal since they are both y = ____.

x + 3 = x - 1

  -3         -3

x = x - 4

-x  -x

-2x = -4

/-2     /-2

x = 2

So the answer would be D) (2,1)

which are not the length of sides of a right​

Answers

Answer:

D.

Step-by-step explanation:

all numbers except d are pythagorean triples, hope this helps!!

I’m pretty sure it’s b

Please help due in 15 minutes!!!!!

Answers

Answer:

44ft

Step-by-step explanation:

The formula for circumference is 2 * π * radius and in this case we want to use 3.14 for π and so we do 2 x 3.14 x 7 because the radius is half of the diameter (14) and once you do that you end up getting 43.96 and once you round you get 44ft so you are correct.

What is the answer for b?

Answers

B=180-(73+69)=38 degrees

Answer:

a+69=180

a=180-69

a=111

In triangle sum of all angle is 180 degree. Therefore;

b+69+73=180

b+169=180

b=180-142

b=38

Step-by-step explanation:

The radius of each semicircle in the composite figure is x units. The width of the rectangular part of the figure is equal to the radius.

Which expression represents the distance around the composite figure

A. 6x+2πx
B. 6x +4πx
C. 10x +2πx
D. 10x +4πx​

Answers

Answer:

10x + 2pix

Step-by-step explanation:

I went to the grocery store and my subtotal was $78.00. There is a 4.5% sales tax. How much tax do I have to pay on my subtotal of $78.00

Answers

Answer:

3.51

Step-by-step explanation:

Answer:

74.48

Step-by-step explanation:

78.00*0.045=3.52

78-3.52=74.48

The parallelogram shown below has an area of 72 units?.
h
13
Find the missing height.

Answers

Answer:

area is given base is given so area of parallelogram =b x h

or 72=13 x h

or h =72/13=5.5 units

Answer:12

Step-by-step explanation:

if m<AFC= 150°, what is m<CFD​

Answers

Answer:

30

Step-by-step explanation:

These are djacent angles ( two angles that have the same vertex, share a side, and do not overlap)  The 2 angles  form a  linear pair           The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees.

If one angle is 150 then the other angle must be 30

150+30 = 180

50 points and Ill give brainiest - please help ASAP with WORK FOR IT please and thank you!! :)

2 pages with work

Answers

Answer:

1) (x + 12)²+(y+6)²= 28

comparing above equation with(x-h)²+(y-k)²=r²

we get

r=√28

h=-12

k=-6

;.centre=(-12,-6)

radius =√28 units

2) x²+(y+7)²=15

comparing above equation with(x-h)²+(y-k)²=r²

we get

r=√15

h=0

k=-7

;.centre=(0,-7)

radius=√15 units

3) (x + 4)²+(y - 1)² = 4

comparing above equation with(x-h)²+(y-k)²=r²

we get

r=√4=2units

h=-4

k=1

;.centre=(-4,1)

radius=√2units

4) (x+3)²+(y-1)²= 8

comparing above equation with(x-h)²+(y-k)²=r²

we get

r=√8=2√2units

h=-3

k=1

;.centre=(-3,1)

radius=2√2units

Please help.
Four players from the NBA and their career 3-point percentage are listed below. 3-point percentage is calculated by dividing the number of 3-pointers the player makes by the number of 3-pointers he attempts. If Steph Curry attempted 25 3-pointers in his last game, how many can we assume he made?

Answers

Answer:

We can assume that the number of 3-pointers he made in his last game was 10 3-pointers

Step-by-step explanation:

In the question, we have;

The 3-point percentage rate for Stephen Curry = 43.5 successful made out of 100 attempts

The 3-point percentage rate for LeBron James = 34.5 successful made out of 100 attempts

The 3-point percentage rate for James Harden = 36.4 successful made out of 100 attempts

Whereby Steph Curry attempted 25 3-pointers in the last game he played and where 'x' represents the number of 3-pointers we can assume he made, we have;

x = 43.5% of 25

[tex]\therefore x = \dfrac{43.5}{100} \times 25 = 10.875[/tex]

Given that 'x' can only have whole number values, and the 3-point percentage is calculated using a larger number of attempts than 25, we can assume he made 10 3-pointers in his last game

The 3-pointers the Stephen Curry made in last game is 10, if he attempted 25 3-pointers.

It is given that the four players from the NBA and their career 3-point percentages are listed below in the table

It is required to find the number of 3 pointers he made if Steph Curry attempted 25 3-pointers in his last game.

What is percentage?

It is defined as the ratio or number presented as fraction of 100, the symbol of percentage is %.

We have in the question that:

The 3-point percentage rate for Stephen Curry is 43.5% out of 100 attempts.

We know that,

[tex]\rm 3-point \ percentage = \frac{Number \ of \ 3-pointers}{Number \ of \ 3-pointers \ attempts} \\[/tex]

3 - point percentage for Stephen Curry = 43.5%

Number of 3-pointers he attempts = 25

Putting these values in the above formula, we get:

[tex]\rm 43.5 \%=\frac{Number \ of \ 3-pointers}{25} \\\\\rm \frac{43.5}{100} \times25 = Number \ of \ 3-pointers\\\\\rm Or \ number \ of \ 3-pointers = 10.875[/tex]

But the number of 3-pointers can be a whole number, so we can assume that the 3-pointers is 10.

Thus, the 3-pointers the Stephen Curry made in last game is 10, if he attempted 25 3-pointers.

Learn more about three pointer here:

https://brainly.com/question/519034

What is the volume and total surface area?? PLEASE HELP

Answers

Step-by-step explanation:

the volume would be inside of the spear so i could be wrong but you would do 10 multiplied by 21 and you get 210. IF you did base and height the base would be 10ft and the height would be 21ft then you just do base times height and that gets you 210 . i could be wrong though

SOMEONE PLEASE HELP!
Figures 1 and 2 below show two polygonal regions used to approximate the area of the given shape. Find the average area, in square units, of the given shape using figures 1 and 2.

Answers

Answer:

figure 1 is 8.5 units^2 and figure 2 is 3 units^2 and the average are is 5.25 units^2

The overestimated area, the underestimated area, and the average area will be 8.5 units², 3 units², and 2.75 units², respectively.

What is an area?

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

Since the area is covered with either a square or a triangle. Therefore, we can write the area of this two as,

Area of a square = 1 unit × 1 unit = 1 unit²

Area of triangle = 0.5 × 1 unit × 1 unit = 0.5 units²

The overestimated area, the number of square and triangles are,

Number of square = 6

Number of triangle = 5

Total overestimated area = (6×1unit²) + (5×0.5unit²) = 8.5 unit²

The under estimated area, the number of square and triangles are,

Number of square = 2

Number of triangle = 2

Total Underestimated area = (2×1unit²) + (2×0.5unit²) = 3 unit²

Furthermore, the average area is,

Average area = (Total overestimated area - Total Underestimated area)/2

                       = (8.5 units² - 3 units²) / 2

                       = 5.5  units² / 2

                       = 2.75 units²

Hence, the overestimated area, the underestimated area, and the average area will be 8.5 units², 3 units², and 2.75 units², respectively.

Learn more about Area here:

https://brainly.com/question/1631786

#SPJ2

a=-2 and c=3 find 2c+a

Answers

Answer:

Answer is 4 you have to substitute the a and c

Answer:

4

Step-by-step explanation:

If a= -2 and c= 3 then, 2(3) + -2.

6 + -2.

4.

Hope it helps!!!!!!!!! :))

what is the answer??? Please help me!
16% of 40 =

Answers

Answer:

16/100*40

32/2

lol so simple

gg

How do I Solve for x.
4x^2-64=0

Answers

Answer:

Step-by-step explanation:

.

4

2

Answer:

x = 4, -4

Step-by-step explanation:

You can do this by simply pressing the calculator OR by simplify

4x^2 - 64 = 0

(2x)^2 - 8^2 = 0

(2x - 8)(2x + 8) = 0

∴ 2x - 8 = 0 or 2x + 8 = 0

x = 4 or x = -4

Help ASAP Please! This is timed, and I only have 45 minutes left to answer the rest of these questions. I will award 100 points and brainly to whoever can give me the equation. Help Please Time is on the essence, and If i fail this I risk failing the class

Answers

Answer:

y = 6/7x - 37/7

Step-by-step explanation:

m = 6/7

(5, -1)

y - y1 = m(x - x1)

y + 1 = 6/7(x - 5)

y + 1 = 6/7x - 30/7

y = 6/7x - 37/7

Answer:

Step-by-step explanation:

Start by the point-slope form and given slope = 6/7 and point (5, -1)

(y-(-1)) / (x-5) = 6/7

7(y+1) = 6(x-5)

7y = 6x - 37

y = 6x/7 - 5 2/7

which is the answer in slope-intercept form

A store purchased jeans for $15 a pair. The store
increased the price of the jeans by 65%. One month
later, the jeans were on sale for- off the store price.
How much would a customer pay for the jeans on
sale?

Answers

10$ i think sorry if it’s wrong

-4n+3>23
A. -5
B. 5
C. -9
D. -20
E. 20

Answers

it will be 20 after u subtract

Combine the like terms
X + x + y + y - y + x -2 =

Answers

The answer is >>>> 3x + y - 2

HELP MEEEE PLEASEEEE ILL GIVE BRAINLIEST

Answers

Answer:350 adult tickets

Step-by-step explanation:752-52=700. Because there were 52 MORE student tickets than adult we have to divide 700. 700÷2=350.

Find the value of X. Please help ASAP!! I have no idea how to do this and I have to have it done soon!!

Answers

Answer:

[tex]x=\frac{3}{4}=0.75[/tex]

Step-by-step explanation:

From the shape of the quadrilateral, we can assume that it is a parallelogram. In a parallelogram, opposite sides are congruent and thus have the same length.

In this case, we are given that two opposite sides have lengths of [tex]4x+5[/tex] and [tex]8[/tex]. Therefore, since the quantities must be equal, we can write the following equation to solve for [tex]x[/tex]: [tex]4x+5=8[/tex]. Solving for [tex]x[/tex], we get:

[tex]4x+5=8[/tex]

[tex]4x=3[/tex] (Use the Subtraction Property of Equality to subtract [tex]5[/tex] from both sides of the equation, which isolates [tex]x[/tex])

[tex]x=\frac{3}{4} =0.75[/tex] (Use the Division Property of Equality to divide both sides of the equation by [tex]4[/tex] to get rid of [tex]x[/tex]'s coefficient)

Hope this helps!

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