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

I'm in trouble. Please solve this two questions!! ​

Answers

Answer:

.........................

Answer:

Step-by-step explanation:

let's figure out first the value of the angles from 0- 360 degrees

HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP

Answers

Answer:

D

Step-by-step explanation:

Hello There!

N = Nickels and D = Dimes

The total amount of nickels and dimes is 27

so d + n = 27

or d = 27 - n

or n = 27 - d

It says that the amount of nickels she has is 3 times the amount of dimes minus 1

so

n = 3d - 1

so looking at the information above we can conclude that the answer is D

Answer:

d

Step-by-step explanation:

Rewrite and simplify. 64-3/4

Answers

Answer:

63 1/4

Step-by-step explanation:

Slope intercept form of (2,4) slope is 2

Answers

To write slope intercept form from a point, you take the 2 and covert it to 2/1, or rise/run form. Then you find the y-intercept. Now listen, this is very complicated. Ready? It's the y-coordinate. 4. Veery complicated.

So y=2/1+4

---

hope it helps

Total surface area??

Answers

Answer:

total area = 207 cm²

Step-by-step explanation:

base area = 9 x 9 = 81

side area = 1/2(9)(7) = 31.5 x 4 (for 4 sides) = 126

81 + 126 = 207 cm²

The cost of 40 litres of petrol is £42.40. Work out how much it would cost for 70 litres of petrol. Please help me I will give brainliest and 5 stars!!

Answers

Answer:£[tex]74.2[/tex]

Step-by-step explanation:

Given

Cost of [tex]40[/tex] liters of petrol is £[tex]42.40[/tex]

Using Unitary method

[tex]40[/tex] liters cost ↔£[tex]42.40[/tex]

[tex]1[/tex] liter cost ↔ [tex]\dfrac{42.40}{40}=1.06[/tex]

[tex]70\ \text{liters cost}\ \rightarrow1.06\times 70=[/tex]£[tex]74.2[/tex]

Given: cos θ = 5/13 where 0 ≤ θ < 90
Find tan 2θ

Answers

Answer:

Given: cos θ = 5/13 where 0 ≤ θ < 90

Find tan 2θ

Step-by-step explanation:

Given the function y=-\frac{3\sqrt{x^5}}{4},y=− 4 3 x 5 ​ ​ , find \frac{dy}{dx}. dx dy ​ . Express your answer in radical form without using negative exponents, simplifying all fractions.

Answers

Given:

The function is:

[tex]y=-\dfrac{3\sqrt{x^5}}{4}[/tex]

To find:

The value of [tex]\dfrac{dy}{dx}[/tex].

Solution:

We have,

[tex]y=-\dfrac{3\sqrt{x^5}}{4}[/tex]

It can be written as

[tex]y=-\dfrac{3}{4}x^{\frac{5}{2}}[/tex]        [tex][\because \sqrt[n]x=x^\frac{1}{n}][/tex]

Differentiate with respect to x.

[tex]\dfrac{dy}{dx}=-\dfrac{3}{4}\times \dfrac{5}{2}x^{\frac{5}{2}-1}[/tex]       [tex][\because \dfrac{d}{dx}x^n=nx^{n-1}][/tex]

[tex]\dfrac{dy}{dx}=-\dfrac{15}{8}x^{\frac{5-2}{2}}[/tex]

[tex]\dfrac{dy}{dx}=-\dfrac{15}{8}x^{\frac{3}{2}}[/tex]

[tex]\dfrac{dy}{dx}=-\dfrac{15}{8}\sqrt{x^3}[/tex]

Therefore, the value of [tex]\dfrac{dy}{dx}[/tex] is [tex]-\dfrac{15}{8}\sqrt{x^3}[/tex].

WILL MRAK BRAINLIESTTTT IF GOTTEN RIGHT DONT ANSWER IF U DONT KNOW!

Answers

Answer:

BC=4

Step-by-step explanation:

didn't i do this already lol

HEJEKEKFLSKSLCBDMLDgbnnbvgfknfnfkskskfjgjdkwkdjdkdkdkdjdks

Answers

Answer:

um.... 17??????????????????

Answer:

HDHEHFGEWGDYDGYDHWQFSWDWSQWYUWEHWW8WDWD

Step-by-step explanation:BHDHEJKNHRGHRFYRHDHNHNEBFDYHFBVUUUFHECHFHVYGDFRFHRHFFRUFYYRFFRYFYFYRFREYRYFGFWYBGT

Jake is making cookies. To make 30 cookies, his recipe requires 4 eggs. Using this recipe, what is the total number of eggs he will need to make 120 cookies?

Answers

Answer:

16 eggs

Step-by-step explanation:

Steps to answering this question

determine how many eggs would be required to make one cookiesMultiply the answer gotten above by the number of cookies

Number of eggs needed for one cookie = 4/30 = 0.1333

Number of eggs needed for 120 cookies = 0.1333 x 120 = 16 eggs

What is 16 – x at x = 5?

Answers

Answer:

11

Step-by-step explanation:

16-x

substitute with 5

16-5

11

The value is 11.

What is Subtraction?

Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.

Here, given that,

16-x

now, we have to ,

substitute with 5

=16-5

=11

Hence, The value is 11.

To learn more on subtraction click:

brainly.com/question/2346316

#SPJ2

A boy scored 48 marks on test. This was 60% of the marks on the test. What was the total the test was marked out of

Answers

Answer:

80 marks

Step-by-step explanation:

I need help with this plzzz theres also a part 2 b​

Answers

Step-by-step explanation:

Because the line doesn't start at 0 (right at the bottom) and that shows that it is not directly proportional to x.

Hope it helped.

The product of two numbers is negative. What conclusion can you draw about the sign of the quotient of the same numbers? *​

Answers

According to the law of signs for division, the quotient of 2 numbers of different sign is negative

Answer:

The quotient is negative.

Step-by-step explanation:

The rules of signs for multiplication and division of two numbers are the same.

If you multiply or divide two numbers with the same sign (both positive or both negative), the answer is positive.

If you multiply or divide two numbers with different signs (one positive and one negative), then the answer is negative.

Since the product is negative, then the quotient is also negative.

Answer: The quotient is negative.

Help me pls asp I will give 100 points
The cone and cylinder above have the same radius and height. The volume of the cylinder is 48 cm3. What is the volume of the cone?
A.
24 cm3
B.
16 cm3
C.
96 cm3
D.
144 cm3

Answers

Answer:

Option B (16 cm³)

Step-by-step explanation:

GIVEN :-

Both cone and cylinder have same radius and height.Volume of cylinder = 48 cm³

TO FIND :-

Volume of cone

FACTS TO KNOW BEFORE SOLVING :-

Volume of a cylinder having radius 'r' and height 'h' is  [tex]\pi r^{2} h[/tex]Volume of a cone having radius 'r' and height 'h' is  [tex]\frac{1}{3} \pi r^{2} h[/tex]

Hence ,

Volume of cylinder = Thrice the volume of cone

[OR]

Volume of cone = One third of volume of cylinder

PROCEDURE :-

Volume of cone = [tex]\frac{1}{3} (Volume \: of \: cylinder) = \frac{48}{3} = 16cm^3[/tex]

Part A: Xavier needs to collect at least 120 cans for a food drive to earn community service credit. He has already collected 64 items. Choose the correctly written inequality to represent the number of cans, c, that Xavier must still collect (before solving)
A 64 + c ≥ 120
B 64 + c < 120
C c - 120 ≤ 64

Answers

Answer:

A

Step-by-step explanation:

He needs to collect at least 120 so if c is what he must still collect

64 +c must be greater than or equal to 120

Which is the correct order for the side lengths from shortest to longest?

Answers

68°+52°=120 and a triangle is 180° so 180-120=60 so x=60

shortest to greatest 52, 60, 68

Raymond needs to cover the entire surface area of the square based pyramid with paper what is the minimum amount of paper he will need

Answers

Answer: 408 sq ft

Step-by-step explanation: You would need to use the surface area formula SA = 1/2LP + B. Note that L is the slant height, P is the perimeter of the base, and B is the area of the base. 11 is the slant height as shown in the image above, p is 48 since you add 12 + 12 + 12 + 12, and the area of the square will be 144 since 12*12 = 144. Once you substitute the numbers in their correct place, you should get SA = 1/2 (11)(48)+144 which gives you 408 sq ft. Hope this helps!

Answer:408    did this right on k12

Step-by-step explanation:

calculate
4x^2+6x-9 if x=3
3y+7(2y-5) if y=4

Answers

Answer:

1. 45

2. 33

Explanation:

1. 4x² + 6x - 9

= 4(9) + 18 - 9

= 36 + 18 - 9

= 45

2. 3y + 7(2y - 5)

= 12 + 7(8 - 5)

= 12 + 56 - 35

= 33

i hope this helps! :D

Answer:

45

33

Step-by-step explanation:

4(3)^2+6(3)-9= 36+18-9= 45

3(4)+7(2*4-5)= 12+7(8-5)= 12+7(3)= 33

help? i wud rly appreciate it <3

Answers

Answer:

D

HOPE THIS HELPS

-Todo <3

Step-by-step explanation:

-3x+1<7

     -1  -1

-3x<6

/-3    /-3

x>-2(you divided by a negative so flip the sign, the sign also tells you which way the graph should be covering :D)

For an assignment, Jorge needs to translate a figure on a coordinate plane. A vertex of the figure is at (-2,5). After translation, that vertex is at (4,-2), as shown in the diagram
below.

Which steps did Jorge use for the translation?

Answers

Answer: Im so sorry but I have not done this in such a long time

Step-by-step explanation: Have a good day

Use the Distributive Property to simplify the expression. 4(c + 3)

Answers

Answer:

4 times c is 4c and 4 times 3 is 12 so the answer would be 4c + 12

Step-by-step explanation:

[tex]\huge\boxed{\boxed{\pmb{Hello!}}}[/tex]

[tex]\text{Let's Solve this Problem!}[/tex]

[tex]\pmb{STEPS:}[/tex]

1. Distribute 4

2. Simplify.

1. 4(c+3)

4*c+3*4

2. 4c+12 [tex]\huge\checkmark[/tex]([tex]\huge\mathbb{ANSWER}[/tex])

Hope it helps.

~Just a determined gal

#HaveAnAwesomeDay

[tex]\mathfrak{M^ag^ic^al\:Sparkles}[/tex]

hii please help i’ll give brainliest!!

Answers

answer:


friction


lol you’re welcome

Start at 4 3/4 and count on steps of 1/4. If 4 3/4 is the first number in the sequence write down the 3rd number and the 6th number and the 9th number

Answers

Answer:

5 1/4 ; 6 ; 6 3/4

Step-by-step explanation:

Using the nth term of an arithmetic progression relation.

an = a + (n - 1)d

First term, a = 4 3/4

Common difference, d = 1/4

3 rd term ; n = 3

a3 = 4 3/4 + (3 - 1)1/4

a3 = 4 3/4 + 2*1/4

a3 = 4 3/4 + 1/2

a3 = 5 1/4

6th term ; n = 6

a6 = 4 3/4 + (6 - 1)1/4

a6 = 4 3/4 + 5*1/4

a6 = 4 3/4 + 5/4

a6 = 6

9 th term ; n = 3

a9 = 4 3/4 + (9 - 1)1/4

a9 = 4 3/4 + 8*1/4

a9 = 4 3/4 + 2

a9 = 6 3/4

Find m
A.45
B.135
C.145
D.180



Please help now please!!!!!!

Answers

I think the answer is c

Find the circumference of a 11cm radius circle using pi 3.14

Answers

Answer:

69.08 cm

Step-by-step explanation:

circumference= 2πr = 2 × 3.14 × 11 cm

Answer:

69.12 cm

Step-by-step explanation:

C = 2πr

C = 2(3.14)11

C = 6.28(11)

C = 69.12 cm

Alma just received a 8% raise in salary. Before the raise, she was making $65,000 per year. How much more will Alma earn next year?

Answers

Answer:

70200

Step-by-step explanation:

8% of 65,000 is 5200

I added 65000 and 5200 and received.

Hopefully this is accurate/true. Not the best at finance.

Please help! I don't know this question.

Answers

Answer:

B. 14/15

Step-by-step explanation:

I hope this helps.

Answer:

B: 14/15

Step-by-step explanation:

Here's why I say this:

The total is 120. 8 have a box meaning 112 do not have a box. The question is asking about those without a box, so 112 will be used. 112/120. Simply by dividing each the numerator and denominator, in this case by 8. The fraction left is 14/15

find the product of (3x+8)^2

Answers

Answer:

The product is 9x^2+48x+64

Step-by-step explanation:

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