The length of one diagonal of a rhombus is 8 cm. The area of the rhombus is 72 cm2. What is the length of the other diagonal of the rhombus?

Answers

Answer 1

Answer:

18 cm

Step-by-step explanation:

From the question above,

Area of a rhombus

A = d₁d₂/2.................. Equation 1

Where A = area of the rhombus, d₁ = length of one diagonal, d₂ = length of the other diagonal

make d₂ the subject of the equation

d₂ = 2A/d₁...............  equation 2

Given: A = 72 cm², d₁ = 8 cm

Substitute these values into equation 2

d₂ = (2×72)/8

d₂ = 144/8

d₂ = 18 cm.


Related Questions

46−[38−{27−(15−13−2¯¯¯¯¯¯¯¯¯¯¯¯¯)}]
=

Answers

Answer:

46-38-27-15+13+2

=-17

12. The base angles of an isosceles triangle are represented by (5x + 10) and 50°. Find x. ​

Answers

Answer:

x = 8

Step-by-step explanation:

Base angles of isoceles triangle are equal

5x + 10 = 50

5x = 40

x = 8

The combined height of one fur tree and one pine tree is 21 meters. The higher of 4 fir trees stacked on top of each other is 24 meters taller that the one pine tree. How tall are the types of trees that Logan genetically engineered?

Answers

Answer: Fur tree = 6 meters, pine tree = 15 meters

Step-by-step explanation:

Lets say the height of one fur tree is x

the height of one pine tree is y

so x+y=21 and 4x=24

x = 6

y = 15

what should be added to
11/21 to make it
19/21

Answers

To find what needs to be added subtract the two numbers:

19/21 - 11/21 = 8/21

You need to add 8/21 to 11/21 to get 19/21

the distance an asteroid travel is directly proportional to the amount of time it travels if an asteroid travels 112,000 miles in 2 hours how far will it travel in 24 hours

Answers

Answer:

1,344,000

Step-by-step explanation:

since 2 hours have gone by divide 112,000 by 2 you will get 56,000 meaning the asteroid is going 56,000 Miles Per Hour now Multiply 56,000(MPH) by 24 (Hours)

You're Answer: 1,344,000

Write an equation in slope-intercept form of the line shown.

Answers

Answer:

y=2x-2

Step-by-step explanation:

The slope is 2 and your y intercept is already given as -2.

Slope intercept is basically y=mx+b

plug it in so you get y=2x-2

I need help ......................

Answers

Answer:

this is to hard

Step-by-step explanation:

7, 8 ,9 ,0 10

write the product form of 3 a² b ³

Answers

Answer:

a³-b³= (a-b)(a²+ab+ b²)

Step-by-step explanation:

Write the equation of a circle that has a diameter of 12 units if its center is at (4,7).
PLZ HELP ASAP! I will give you BRAINLIEST

Answers

9514 1404 393

Answer:

  (x -4)^2 +(y -7)^2 = 36

Step-by-step explanation:

The equation of a circle with radius r and center at (h, k) is ...

  (x -h)^2 +(y -k)^2 = r^2

When the diameter is 12, the radius is 6 (half the diameter). Then for your center point, the equation is ...

  (x -4)^2 +(y -7)^2 = 36

The number of hot drinks sold in a café decreases as the weather becomes warmer. What type of correlation does this statement show?

Answers

It’s a bc its the only one that actually makes sense :0:00:

An angle measures 56° more than the measure of its supplementary angle. What is the measure of each angle?

Answers

Answer:

62,118

Step-by-step explanation:

Let one angle = x

So, other angle = x +56

x +x +56 = 180       {Combine like terms}

2x  + 5 6 = 180      {Subtract 56 form both sides}

        2x = 180 - 56

        2x = 124     {Divide both sides by 2}

        x   = 124/2

        x = 62

Other angle = 62 + 56  = 118

Help ASAP. This is vital to my math grade. I will award 100 points and Brainly to whoever can give me the correct slope. I need this question correct in order to pass my math class. This is for a dual enrollment class. This is timed

Answers

Answer:

-2/2

Step-by-step explanation:

I think the slope is -2/2 I hope I got this right, sorry if I got it wrong. Anyway, you solve this by plotting your two points, then doing rise over run (down 2 and over to the right).

Your welcome :D.

Answer:

Slope: -1

Step-by-step explanation:

( 3, -6) and (5, -8)

m= (y2-y1)/(x2-x1)

m = ( -8 + 6)/ (5-3)

m = (-2)/2

m = -1

50 points
Help if you know.
Thanks.

Answers

Answer:

Rhombus

Step-by-step explanation:

Refer to attached

You can easily calculate that each of the sides have the length:

AB= BC = CD = AD = [tex]\sqrt{1^2+4^2} = \sqrt{17}[/tex]

Parallel sides have equal slopes:

m = - 4 for AB and CDm = - 1/4 for AD and BC

Diagonals are perpendicular as their slopes are negative reciprocal:

m = 1 for ACm = -1 for BD

So we see the quadrilateral ABCD has two pairs of parallel sides, all sides are equal and the diagonals are perpendicular.

This is the definition of the rhombus.

find the mean of the given data. 147 141 120 124 128

Answers

147 + 141 + 120 + 124 + 128=660
660/4 =132
hope that helps xo
(147+141+120+124+128) / 5 = 132 :^)

I divided by 5 because there are 5 items in the set of data.

Hope this helped!!

6. Ria purchased a car for
$14,775. Sales tax in her
county is 6.8%.
a. What is the total price of
the car including tax?

b. If she puts $2,100 down,
how much will she be
financing?

c. What will her monthly
payment be if the term of
the loan is 72 months with
an APR of 3.5%?

Answers

9514 1404 393

Answer:

  a) $15,779.70

  b) $13,679.70

  c) $210.92

Step-by-step explanation:

a) When tax is added, the total cost is ...

  total = price × (1 +tax rate)

  total = $14,775 × 1.068 = $15,779.70

__

b) The amount financed is the difference between the total cost and the down payment.

  financed = total - down35

  financed = $15,779.70 -2100 = $13,679.70

__

c) The monthly payment is found using the amortization formula. It can also be found using any of a number of financial calculators, spreadsheets, or apps.

  A = P(r/12)/(1 -(1 +r/12)^-n) . . . . annual rate r, n monthly payments, principal P

  A = $13,679.70(0.035/12)/(1 -(1 +0.035/12)^-72) ≈ $210.92

Find the missing side (to 2dp)

Answers

Answer:

x = 17.74 cm

Step-by-step explanation:

tan 29 = x/32

0.5543 = x/32

x = 17.74 cm

Answer:

17.74  to 2 dp.

Step-by-step explanation:

tan 29 = x/32

x = 32 tan 29

= 17.7379.

For each fraction, select the most appropriate estimate. 36 40 choose.. 1 3 choose.. 70 100 choose.. 1 8 choose.. Options: Closest to 0 Closest to one half Closest to 1

Answers

Answer:

Convert each fraction to its percentage form:

= 36 / 40

= 90%

= 1/3

= 33.3%

= 70/100

= 70%

= 1 / 8

= 12.5%

Looking at the percentages:

= 36 / 40 is closest to 1.

= 1/3 and 70/100 are closest to one half which is 50%

= 1/8 is closest to 0.

Solve for X and round to the nearest tenth

Answers

Answer:

3.4

Step-by-step explanation:

cosx = adj/hyp

cos61° = x/7

x= cos61° * 7

*degree mode

3.39

It’s 3.4 because it is trust me

find the value (s) of the variables (s) in each parallelogram. ​

Answers

Step-by-step explanation:

As we can see it is a parallelogram so here the diagonals bisect so

6y + 1 = 4y + 9

6y - 4y = 9 - 1

2y = 8

y = 8 / 2

y = 4

2x - 5 =x + 7

2x + x = 7 + 5

3x = 12

x = 12 / 3

x = 4

Hope it will help :)

Write a real life scenarlo that can be represented by the integer -55

Answers

Answer:

I deposit $500 in my bank from my check this week. I have to withdraw $550 from my bank to pay my medical bills. I am short -55/55 dollars so I wait to pay my medical bills.

I owe $60 to my school for damage on a school laptop. I only have $5 so I am 55 dollars short.

I withdraw $2,000 from my bank to deposit $1950 a week later. I want to deposit the same amount of money I put last week. I am short 55 dollars.

Step-by-step explanation:

I put different scenarios because I didn't know if any of them were good enough.

please help me with this and explain. It’s due in a bit :/

Answers

Answer:

choice D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

they have similar angles and similar sides, and the description choice D gives is also correct

A father is 20 years older than his son. Five years ago,he was three times as old as his son was.Find their present ages​

Answers

Answer:

Dad=35, Son=15

Step-by-step explanation:

Well since the dad is 20 year older then the son we can call the son x and the dad x+20. Now five years ago the father was 3 times older then the so we construct the following equation:

x+20−5=3(x−5)

x+15=3x-15

x=15

So now we know that the sons age is 15 meanimg that since the dads 20 years older then him, his age is 20+15 which is 35!

Solve for b. b + 2 = 4.6

b=6.6

b=4.12

b=2.6

b=2.3

Answers

Answer:

b=2.6

Step-by-step explanation:

b+2=4.6

Subtract both sides by 2 to isolate b

b+2-2=4.6-2

b=2.6

Therefore, b is equal to 2.6.

I hope this helps!

Help pls!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

(4p^2+3)(p+2)

Step-by-step explanation:

Which systems of equations have infinite solutions
2x+y 31
+ y = 18
2x+y 10
изу +7
y 14 - 2x
0x3y12
y 13 - 2
1x 3.10
2x + y 14
X 13 - 2y
2x+y 17
Ox3y - 61

Answers

N3Y+7 can have infinate solutions

roup of softball players are training on a square-shaped sports ground with sides measuring 100 yards each. The players run around for 10 minutes to warm up. How many laps around the sports ground do they run given their average speed is 5 yards per second? Please add an explanation. I will mark the brainliest to whoever's answer is best and YOU GET 50 Points.

Answers

Answer:

7.5 laps

Step-by-step explanation:

First, you wanna figure out how many yards is in one lap

to do this, you would multiply 100 and 4 (four because there's four equal sides  in one lap)

100 x 4 = 400

You know their speed is 5 yards per second, so you wanna find out how many seconds they will be running

to do this, you multiply 60 (sixty because there's sixty seconds in one minute) and 10 (ten because that's the given amount of minutes)

60 x 10 = 600 seconds

now to found out how much they will run in 10 minutes you will multiply 600 by 5

600 x 5 = 3000 yards

now to find how many laps this is, you can divide 3000 yards by 400 yards

3000 ÷ 400 = 7.5 laps

need help again... asap

Answers

Answer:

9/41

Step-by-step explanation:

cos=adjacent/hypotenuse

adjacent=9

hypotenuse=41

Is -6 a solution for the equation 3(2x - 8)= -4(-6 +21)?

Answers

Answer:

YeS, it is a solution

Step-by-step explanation:

Here, we want to check if -6 is a solution to the question

What we have to do is to replace x by -6

If what we have on the left equals that on the right, then -6 is a solution

Thus, we have it that;

3(2(-6) -8)

= 3(-12-8)

= 3(-20) = -60

for the right hand side

-4 (15) = -60

This means both sides are equal and that -6 is a solution

A sports tournament has d teams. Each team has 15 players. Using d, write an expression for the total number of players in the tournament.

Answers

Answer:

d x 15=total players.

Step-by-step explanation:

dx15=total number of players in the tournament.

Answer:

15d

Step-by-step explanation:

If there are d teams and 15 people in each team d x 15 = 15d

Ruben adds some water to a glass of juice. The ratio of water to juice in his glass in now 4:6. Which fraction below represents this ratio? A 3/5 C 2/3 B 3/2 D 2/5​

Answers

Answer:

C

Step-by-step explanation:

since we're being told to convert the ratio to fraction then it is C. note that 4 ratio is also the same as dividing 4 by 6

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