The diagonals of a rhombus measure 16 cm and 30 cm .find its perimeter ( in easy way)?

Answers

Answer 1

Answer:

68 cm

Step-by-step explanation:

Let ABCD be a rhombus, all sides of the rhombus have equal length and its diagonal AC and BD are intersecting each other at a point O.

As we know that the diagonals in the rhombus bisect each other at 90°.

So, AO can be written as (AC/2)  

= 16/2  

= 8 cm

And, DO can be written as (BD/2)

= 30/2  

= 15 cm

Then, consider the triangle AOD and apply Pythagoras theorem,  

AD2 = AO2 + DO2

AD2 = 82 + 152

AD2 = 64 + 225

AD2 = 289

AD = √289

AD = 17 cm

Hence, the length of each side of the rhombus is 17 cm

Now,

The perimeter of rhombus = 4 × side of the rhombus

= 4 × 17

= 68 cm

Therefore, the perimeter of the rhombus is 68 cm.


Related Questions

The pictures is where my question is someone please answer it.

Answers

Answer:

functions: first one, third one, fifth one, seventh one, eigth one

the rest are not function

Step-by-step explanation:

if it is a function it either passes the line test or it doesnt have two outputs

whats 12.3/342/75x75xyx85

Answers

Answer: 167?

Step-by-step explanation:

If the scale is 3cm to 8 km, what is 5 cm?

Answers

Answer:

Step-by-step explanation:

3 cm=8 km

1cm=8/3 km

5 cm=8/3×5=40/3 =13 1/3 km

I need help ASAP !!!

Answers

Answer:

B is it

Step-by-step explanation:

Which of the sets of terms below does NOT include like terms? *
1 point
9m, -9m, 7m
1p, -7p, 7p
30, -25, 25
6x, 6y, 6z

Answers

6x, 6y, and 6z are not like terms because they do not have all of the same variables.

Which equations have the same pair of solutions? Select all that apply.

n(n + 3)(n - 4) = 0
2n(4n + 6)(6n - 4) = 0
0 = 2n(6 - 4n)(4 - 6n)
0 = n(2n + 3)(3n - 2)
2n(2n + 3)(3n - 2) = 0
3n(6n + 9)(9n - 6) = 0

Answers

2, 4, 5 and 6. That is the order of equations

Evaluate the following real numbers:

1. l5l + l4l
2. 0.4 ÷ 10
3. ¼ + ⅔
4. 3 × 1 ½
5. ⅓ - ¼
6. (⅜) (8/5)
7. ⅖ + ⅗
8. -1 + (-1) + [-(9+4)]
9. the value of x + y if x = 4 and y = 6
10. 9² + 3³

Answers

Answer:

Q.1 Answer is 9

Q.2 Answer is 0.04

Q.3 Answer is 11/12

Q.4 Answer is 3/2

Q.5 Answer is 1/12

Q.6 Answer is 3/5

Q.7 Answer is 1

Q.8 Answer is -15

Q.9 Answer is 10

Q.10 Answer is 108

Graph y= –3x+4.

i need a pic
5o points and brain thing

Answers

Refer to the attachment

Solve for x and find the measure of the indicated angle.
D
100°
(13x + 2)
70°
(18x + 2)%
B
=
mZC =

Answers

Answer:

[tex]{ \rm{100 + (13x + 2) + (18x + 2) + 70 = 360}} \\ \\ { \rm{31x + 174 = 360}} \\ \\ { \rm{31x = 186}} \\ \\ { \rm{x = 6 }}[/tex]

• Angle C

[tex]{ \rm{m \angle C = (13x + 2)}} \\ \\ { \rm{m \angle C = (13 \times 6) + 2 }} \\ \\ { \rm{m \angle C =80 \degree }}[/tex]

How many solutions are there for the following equation? Why?
8(x + 9) = 72 – 5x
Select the option that correctly answers both questions.

1 There is one solution, because the coefficients of the variables on both sides of the equation are different.

2 There is one solution, because the coefficients of the variables on both sides of the equation are the same.

3 There are no solutions, because the coefficients of the variables on both sides of the equation are different.

4 There are no solutions, because the coefficients of the variables on both sides of the equation are the same.

Answers

Answer:

I think 2? maybe 1.

Step-by-step explanation:

because it becomes 8x+72=72-5x which can then become 3x=0 then x=0/3 and 0/3=0 so x=0

I need help please
And thank you

Answers

Answer:

-1, 3, and 5

Step-by-step explanation:

When mapping a function the inputs (x), the oval to the left, is the domain. The oval to the right, the output, is the range.

A rental car company charges $54.35 per day to rent a car and $0.09 for every mile driven. Jayden wants to rent a car, knowing that: • He plans to drive 425 miles. • He has at most $310 to spend. Use the drop-down menu below to write an inequality representing d, the total number of days Jayden can rent the car while staying within his budget.​

Answers

The inequality representing d, the total number of days Jayden can rent the car while staying within his budget is 54.35d + 38.25 ≤ 310

Given:

Charge per day = $54.35

Charge per mile = $0.09

Total miles = 425 miles

Amount to spend = at most $310

let

d = number of days

The inequality:

54.35 × d + 0.09 × 425 ≤ 310

54.35d + 38.25 ≤ 310

54.35d ≤ 310 - 38.25

54.35d ≤ 271.75

d ≤ 271.75 / 54.35

d ≤ 5 days

Therefore, the total number of days Jayden can rent the car while staying within his budget is 5 days

Read more:

https://brainly.com/question/11166576

Check cashing companies
charge high fees. Banks charge
less, or nothing, to cash checks
for their account holders. How
can you be sure to avoid check
cashing companies?

Answers

Answer:

they usually cost nothing if you go through your bank

Domingo earns $13 dollars per hour and worked 47.5 hours that week. He is paid
double time for all hours worked over 40 hours in one week. What is his gross pay
for the week?

Answers

Domingo earns 715$ in the week that is his gross income

The parking lot at a grocery store has 90 cars in it. 30% of the cars are two-toned. How
many cars are two-toned?

Answers

You need to find 30% of 90
You can do this by finding 10%

10% of 90 = 0.1 x 90 = 9

Then you can times this value by 3 to find 30%

9 x 3 = 27

27 cars are two-toned

27

if 90 is 100% and we have to find 30% we have to do this:

(90 * 30) / 100 = 27

two toned cars are 27

Please help It really important​

Answers

A

the domain is the x-axis number soooo

Solve the inequality.
-12 < 1/2(x+16) < 18

Answers

Answer:

-40 < x < 20

Step-by-step explanation:

step 1: -12 < 1/2(x+16) < 18 --> Distribute

step 2: -12 < 1/2x + 8 < 18 --> subtract 8

step 3: -20 < 1/2x < 10 --> Multiply by 2

answer : -40 < x < 20

Plzzzz I need Helpppp!!!​

Answers

Answer:

(8x+15)=(7x+17){ being alternative angle}

8x+15=7x+17

8x-7x=17-15

x=2

here,

8x+15= 8×2+15

16+15=31

7x+17

7×2+17

14+17

31

again

(8x+15)+y=180°( being straight angle)

31+y=180

y=180-31

y= 149

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

In the given figure, Angles (8x + 15) and (7x + 17) are equal

because they form pair of Alternate interior angles.

[tex]8x + 15 = 7x + 17[/tex]

[tex]8x - 7x = 17 - 15[/tex]

[tex]x = 2[/tex]

So,

[tex]8x + 15[/tex]

[tex]( 8\times 2) + 15[/tex]

[tex]16 + 15[/tex]

[tex]31 \degree[/tex]

now, as we can see Angle y and (8x + 15) are forming linear pair; so their sum measures 180°

[tex](8x + 15) + y = 180[/tex]

[tex]31 + y = 180[/tex]

[tex]y = 180 - 31[/tex]

[tex]y = 149 \degree[/tex]

Show 2 + 5 in number line.

Answers

To mark 2/5; move two parts on the right-side of zero. To mark 11/5; move eleven parts on the right-side of zero. To mark -8/5; move eight parts on the left-side of zero. To mark -3/5; move three parts on the left-side of zero

Order the set of numbers from least to greatest.
-0.62
-0.615
-5/6

Answers

Answer:

5/6, -0.62, -0.615

Step-by-step explanation:

Hope this Help If i got it wrong I'm sorry I tried :(

What is the P(Red Diamond Face Card) and the P (Black Face Card) ​

Answers

Answer:

9/1352.

Step-by-step explanation:

P(Red Diamond Face Card) = 3/52.

P (Black Face Card) = 6/52 = 3/26.

So the answer is 3/52 * 3/26

= 9/1352.

[tex]\sf 19=7x-2x[/tex]

Answers

Answer:

[tex]3\dfrac{4}{5}[/tex]

Step-by-step explanation:

19 = 7x - 2x

19 = (7 - 2)x

19 = 5x

Divide both side by 5

19/5 = x

[tex]x=3\dfrac{4}{5}[/tex]

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Value of x is equal to ~

[tex] \boxed{3.8}[/tex]

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

[tex]19 = 7x - 2x[/tex]

[tex]5x = 19[/tex]

[tex]x = 19 \div 5[/tex]

[tex]x = 3.8[/tex]

what is the equivalent value 3/2×(−2)

Answers

Answer:

= -3

multiplying and dividing fractions

Answer:

-3

Step-by-step explanation:

3/2^(-2)=-3

Dennis decided he wanted to go to the carnival. The carnival charges $6.00 for entry and $1.50 for each ride.

Part A

Write an expression to represent this scenario where r represents the number of rides.

Part B

Create and solve an equation to determine how many possible rides Deniss can ride if his parents gave him $35.00. Show your work.

Answers

We want to create a linear equation to model the given situation.

A) c(r) = $6.00 + $1.50*r

B) 19 rides.

We know that the carnival charges $6.00 for entry plus $1.50 for each ride.

A) With the given information we can see that if you ride for r rides, then the cost equation will be:

c(r) = $6.00 + $1.50*r

Where c(r) is the cost for going to the carnival and doing r rides.

B) If you have $35.00, then we can solve:

c(r) = $35.00 =  $6.00 + $1.50*r

Now we can solve the equation for r.

$35.00 =  $6.00 + $1.50*r

$35.00 -  $6.00 = $1.50*r

$29.00 = $1.50*r

$29.00/$1.50 = r = 19.33

Rounding to the next whole number we get: r = 19

This means that with $35.00, Dennis could go to 19 rides.

If you want to learn more, you can read:

https://brainly.com/question/13738061

Given that
R
=
9
x
+
8
y

Find
x
when
y
=
3
and
R
=
5

Give your answer as an improper fraction in its simplest form.

Answers

Answer:

X = 19/9

Step-by-step explanation:

R = 9x + 8y

R = 5, Y = 3

5 = 9x + 8(3)

9x = 8(3) - 5

9x = 19

x = 19/9

What is the equation of the line that passes through the point (6,14) and is parallel to the line with the following equation? y=-4/3x -1

Answers

Answer:

[tex]y=\displaystyle-\frac{4}{3}x+22[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-interceptParallel lines always have the same slope (m)

Determine the slope (m):

[tex]y=\displaystyle-\frac{4}{3}x -1[/tex]

The slope of the given line is [tex]\displaystyle-\frac{4}{3}[/tex], since it is in the place of m in y=mx+b. Because parallel lines always have the same slope, the slope of a parallel line would also be [tex]\displaystyle-\frac{4}{3}[/tex]. Plug this into y=mx+b:

[tex]y=\displaystyle-\frac{4}{3}x+b[/tex]

Determine the y-intercept (b):

[tex]y=\displaystyle-\frac{4}{3}x+b[/tex]

To find the y-intercept, plug in the given point (6,14) and solve for b:

[tex]14=\displaystyle-\frac{4}{3}(6)+b\\\\14=-8+b\\b=22[/tex]

Therefore, the y-intercept of the line is 22. Plug this back into [tex]y=\displaystyle-\frac{4}{3}x+b[/tex]:

[tex]y=\displaystyle-\frac{4}{3}x+22[/tex]

I hope this helps!

Morgan won 7 blue ribbons and 4 red ribbons at her horse shows. What is the ratio of red ribbons to blue ribbons she won?

Answers

Answer:

4:7

Step-by-step explanation:



The black line is the graph of y = x. Which of these
equations could represent the blue line?

Answers

Answer:

A

Step-by-step explanation:

Answer:

The answer is (y=1/2x )

QUESTION 8
The city Music Hall charges $24.00 per adult and $14.00 per senior citizen. One day 492 people attended a concert. The total for tickets purchased
was $7878.00. How many senior citizens attended the concert?
O 393 senior citizens
O 99 senior citizens
O200 senior citizens
O 292 senior citizens

Answers

Answer:

Adults (x) = 99 and

Seniors (y) = 393

393 seniors

Step-by-step explanation:

Adults= x

Seniors = y

1) x+ y = 492

2) 24x + 14y = 7,878

1) x = 492 - y

2) 24 (492 - y) + 14 y = 7,878 (substitution)

11808 - 24y + 14y = 7,878

11,808 - 10y = 7,878

11,808 - 7,878 = 10y

3,930/10 = y

y = 393

1) x + 393 = 492 (substitution)

x = 492 - 393

x = 99

Can someone pls help me

Answers

18/24=0.75

?/80=.75

80x.75=?

?=60

5x+10=60

    -10  -10

5x=50

/5   /5

x=10

sub x in for 10

10x5=50+10=60

C.X=10

It’s Ccccccccccccccccccc
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