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]

For more information please refer to the link below

https://brainly.com/question/24438053


Related Questions

if B is the midpoint of AC, and AB = 12 cm. How long is segment BC? A 12 cm B​

Answers

Answer:

6

Step-by-step explanation:

because if B is the mid point of AC And ab is 12 cm If we divide 12 by 2 it'll be 6..but I'm not sure sorry

Answer:
12 cm
Explanation:
A mid point is halfway between to points. If from A to B is 12 and B is the midpoint of AC, we know BC is 12 as well.
Here is a visual representation:

A___12___B___12___C

Have a wonderful day :)

Find the slope of the line shown below.

Answers

Answer:

slope is -2

Step-by-step explanation:

trust me :)

Answer: The slope would be -2

An artist creates 8 identical ceramic bowls. The bowls contains some glass and 59.2
pounds of clay. The artist uses a total of 73.6 pounds of clay and glass to make the
bowls. Each bowl contains how many pounds of glass?

Answers

Yep because ceramic bowls have a certain depth in them

hii please help i’ll give brainliest!!

Answers

Answer:

third one i think soo ( a push or pull acting on an object )


The perimeter of a rectangle is 158 cm. If the length is 7 more than 3 times the width:
i)
Write an equation for the length (l) in terms of the width (w).

Use your understanding of simultaneous equations to determine the unknown
dimensions.

Find the area of the rectangle.

Answers

Width of rectangle = x
Length =3x+7
Perimeter of rectangle = 158cm
2(l+w)=158
2(3x+7+x)=158
2(4x+7)=158
8x+14=158
8x=158-14
x=144/8
x=18
Therefore the width of the rectangle is 18cm
Length=3x+18+7
54+7=61cm
Area=lxw
=61x18
=1098^2

A pyramid has a rectangular base of dimensions 15 cm and w cm. Given that its height and volume are 18 cm and 826 cm3 respectively, find the value of w.

Answers

Answer:

9.18 cm

Step-by-step explanation:

A  pyramid is a three-dimensional object. The base of a pyramid is a polygon. the top and the base of a polygon forms a triangle.

for a rectangular pyramid, the base is a rectangle  

The volume of a pyramid = 1/3 × (area of the rectangle x height)

Area of a rectangle = length x width

15 x w = 15w cm²

826 = 1/3 x (15w x 18)

multiply both sides of the equation by 3

15w x 18 = 2478

Divide both sides of the equation by 15 x 18

w = 9.18 cm

 

divide both sides by 10

If a designer sold 2,000 units of a dress with total sales of $190,000, what was the average price of the garment?

Answers

Answer:

$95

Step-by-step explanation:

We can divide 190,000 by 2,000, since we're assuming they all cost the same. This gets us to our answer, 95. Therefore, each garment cost $95 on average.

What is the measure of angle A?

Answers

Answer:

∠ A = 35°

Step-by-step explanation:

The measure of the tangent- tangent angle A is half the difference of the intercepted arcs.

minor arc = 145°

major arc = 360° - 145° = 215°

Then

∠ A = [tex]\frac{1}{2}[/tex] ( 215 - 145) = [tex]\frac{1}{2}[/tex] × 70° = 35°

Ellie works in the produce section at a grocery store. The store receives a shipment of green and red apples that weighs 20.4 pounds in total. Ellie separates the green and red apples into bins by color. If red apples make up 1 4 of the shipment by weight, how many pounds of apples are green?

Answers

Answer:

15.3

Step-by-step explanation:

Answer:

15.3

Step-by-step explanation:

Angle K measures 67º and angle L measures 119°.

Circle O is inscribed by quadrilateral L M N K.

What are the measures of angles M and N?

m Angle M = 61o and m Angle N = 113o
m Angle M = 67o and m Angle N = 119o
m Angle M = 113o and m Angle N = 61o
m Angle M = 119o and m Angle N = 67o

Answers

Answer:

C.  m Angle M = 113o and m Angle N = 61o

Step-by-step explanation:

It's the only answer that makes all the angles added together equal 360 degrees.

67 + 119 + 113 + 61 = 360

Answer:

C

Step-by-step explanation:

During a game, a basketball team scored 38 points worth of two-pointers, 33
points worth of three-pointers, and 8 points worth of free throws. How many
shots did the basketball team make during the game?
shots
(Hint: A free throw is worth one point).

Answers

Answer:

I think the answer would be :

19 + 11 + 8 = 38 .

Answer:

19 + 11 + 8 = 38 .

Step-by-step explanation:

Question 1: Find the area of each triangle
(a)
(b)
10cm
8cm
7
6cm​

Answers

Answer:

a)=80cm^2  b)=42cm^2

Step-by-step explanation:

10x8=80

7x6=42

add cm^2 at the end

Help, please
A: 2
B: -2
C: 1/2
D:-1/2

Answers

Answer:

[tex]\left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \int\limits^a_b {x} \, dx \geq \sqrt{x} \left \{ {{y=2} \atop {x=2}} \right. \frac{x}{y} \alpha \alpha \alpha =\beta[/tex]

Step-by-step explanation:

SOLVE FOR X

plz this is like the 5th time i ask, plz don’t respond with links

Answers

Answer: I used the Pythagorean theorem and got 6.24, but if I was supposed to use another method, just let me know.

The formula is a^2+b^2=c^2

a=5

c=8

b=?

5^2+b^2=8^2

25+b^2=64

b^2=39

b=6.24,

(If it doesn't work, put x=6.24, x=-6.24. It can be both technically, but most teachers ask only for the first one. )

A concert was attended by 250 people if 30% of the people went to the basketball game, how many people went to the basketball game.

Answers

Answer:

75

Step-by-step explanation:

Answer:

75 People attended the basket ball game.

Step-by-step explanation:

If you multiply your percent by your total number you get the answer

0.30 x 250 = 75

I’ll give brainliest!!!!HELP ASAP

Answers

Answer:

Step-by-step explanation:

im not sure but i think that you can either say theat you can turn the freaction into a percentage or turn the percentage into a fraction and then you can start comapring them  i hope it helps?

Answer:

first the fraction should be converted in percent.

later both the percent can compared..

What is the height of the cylinder below?

A cylinder with height of 22 inches and diameter of 16 inches.
8 inches
11 inches
16 inches
22 inches

Answers

Answer:

22 inches?

Step-by-step explanation:

Cause the question stated the height is 22 inches ?

Answer:

22 inches

Step-by-step explanation:

31) Find the area of a sector of a circle with a
central angle of 60 degrees and a radius of 10
cm. Use 3.14 for pi.
A. 5.3 cm2
B. 10.5 cm2
C. 52.3 cm2
D. 314.2 cm2

Answers

Answer C 52.3 cm2

Step-by-step explanation:

I say this because When using the A=r2 x a / 2 you plug in the numbers and het the sector area.

There are two similar packages. The ratio of the volumes is 8:125. Determine the dimensions of the bigger package. The dimensions of the smaller package are... Height= 45cm, Length= 80cm, and Width= 25cm.


Length of bigger package =

cm

______________

Width of bigger package =

cm

______________

Height of bigger package =

cm

PLS HELP ME PLS ASAP. I WILL GIVE U THE BRAINLIEST ANSWER PLS HELP NOWW!!!!!!

Answers

Step-by-step explanation:

since packages are similarsimilar packages. The ratio of the volumes is 8:125. Determine the dimensions of the bigger package. The dimensions of the smaller package are... Height= 45cm, Length= 80cm, and Width= 25cm.

Length of bigger package = 80×125/8=1250cm

Width of bigger package =25×125/8=390.625cm

Height of bigger package =45×125/8=703.125cm

1.
a.
A cookie recipe uses 3 cups of flour to make 15 cookies. How many cookies can you make
with this recipe with 4 cups of flour? (Assume you have enough of the other ingredients.)
b.
A teacher uses 36 centimeters of tape to hang up 9 student projects. At that rate, how
much tape would the teacher need to hang up 10 student projects?

Answers

Answer:20 cookies

Step-by-step explanation:

plz help plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz 50 points

Answers

Answer:

d1 = 192

d2 = 192

Step-by-step explanation:

step 1

From the imformation given, the distance is the same

so from the table

d1 = 64t

d2 = 48(7-t)

the distance is the same, it means

d1 = d2

therefore we can get the time(t) from here

64t = 48(7-t)

64t = 336 - 48t

collect like terms

64t+48t = 336

112t = 336

t = 336/112

t = 3

substitute t into d1 to get the distance

d1 = 64t

d1 = 64 × 3

d1 = 192

Note, d1 = d2

d2 = 192 too

the circumference of a circle is 6.908 kilometers. what is the circles diameter?​

Answers

Answer:

2.19888km

Step-by-step explanation:

C=2πr

d=2r

d=C

π=6.91

π≈2.19888km

Answer: The diameter rounded to the nearest hundredth is 2.20 kilometer, if you need to round to a different place value, the work is shown below.

Good Luck!

Step-by-step explanation:

C = πd

6.908 = πd

   π         π

2.198884694...kilometers = d

HELP ME PLZ 20 POINTS AND BRAINLIEST

Answers

Answer:

35.9 units cubed

Step-by-step explanation:

Hello There!

The figure shown is a rectangular prism

The formula for volume of a rectangular prism is

Length times width times height

The dimensions for the shown figure are given

height = 4 1/2

length = 2 1/8

width = 3 3/4

given this information we just plug it in to the formula

so

[tex]V=3\frac{3}{4}*4\frac{1}{2} *2\frac{1}{8}[/tex]

then we plug it in to a calculator and get that the volume is equal to

35.859375

finally we round to the nearest tenth and get that the volume is equal to

35.9 units cubed

What is the GCF of 8a^2 and 11?

Answers

Answer:

The only common factor would be 1 only.

Step-by-step explanation:

If you don't believe me, then you might as well calculate yourself or find the gcf or lcm

What number is obtained by increasing by 36 50%​

Answers

Answer:

54

Step-by-step explanation:

The given number to be increased = 36

The percentage by which the number is increased = 50%

In increasing a number by a percentage, we find the value of the percentage increase of the number and add to the number as follows;

50% of 36 + 36 = 50/100 × 36 + 36 = 54

Second method

The find the number obtained by increasing a number by a given percentage 'x', we add 100 to the give percentage and multiply the result by the number and hen divide the final result by 100 as follows;

36 increased by 50% = (100 + 50) × 36/100 = 54

Once you find the total area of a composite figure, are you done with the problem?

Answers

Answer:

Yes, if the area is all you are asked to calculate.

Step-by-step explanation:

PLEASE HELP ASAPPPPPP!!!!!!!!!!!!

Answers

Answer:

324

Step-by-step explanation:

divide 752 by 2 to get 376

then subtract 52 from 376 to get 324

Here is an expression 3*2t.


Evaluate the expression when t is 1

Answers

Well if t is equal to 1, then it would be 3*2*1. And since the one can basically be disregarded, the answer would be 3*2

PLEASE HELP I NEED TO GET THIS DONE ASAP !!!!!

Answers

Answer:

50.27 cm²

Step-by-step explanation:

Shaded area is the difference in the areas of big and small circles.

Circle area formula: A = πr²A = π(5²) - π(3²) = π(25 - 9) = 16 π = 50.2654824574 ≈ 50.27cm²

Answer:

area of shaded region

=π5²-π3²=50.2857142857cm²

Step-by-step explanation:

to find shaded region first find area of big circle and of small

subtract area of small circle from big circle.

the angles of quadilateral are, x,2x,3x and 4x find the value of x​

Answers

Answer:

the angle sum of quadrilateral is 360 degree

x+2x+3x+4x = 360

10x=360

x= 360/10

x= 36

1 angle= 36

2 angle= 2*36=72

3 angle =3*36=108

4 angle= 4*36= 144

Step-by-step explanation:

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