One diagonal of a rhombus is four times the length of the other diagonal. The area of the rhombus is 98 square feet. Identify an equation that can be used to find the length of each diagonal. Let x represent the length of the shorter diagonal. Then find the length of each diagonal. Round decimal answers to the nearest tenth.

Answers

Answer 1

Answer:

shorter length = 7 feet

longer length = 28 feet

Equation : 98 = 2x²

Step-by-step explanation:

A rhombus is a four sides quadrilateral with the four sides equal in length

The area of a rhombus =  [tex]\frac{1}{2}pq[/tex]

where p and q are the two diagonals

shorter length = x

longer length = 4x

98 = (1/2) ×4x × x

98 = 4x² x (1/2)

98 = 2x²

divide both sides of the equation by 2

49 = x²

find the square root of both sides

x = 7 ft

longer sides = 4 x 7 = 28 ft


Related Questions

Please help me solve this math. It’s due soon

Answers

Answer:

the awnser would be a I'm pretty sure

Step-by-step explanation:

make the other side the same ones so like take the bottom 8 and duplicate it to the top. do the same thing with the 6 but put it on the left side. and then combine 12 + 18 and there you go.

I REALLY NEED HELP T-T

Answers

Answer:

option A : 7x - 1

Step-by-step explanation:

Area of the shaded region = [ Area of bigger rectangle] - [Area of smaller rectangle ]

Therefore, Area of bigger rectangle = length * breadth = (x - 1)(x + 5)

Therefore, Area of smaller rectangle = length * breadth = (x + 1)(x - 4)

Area of shaded region = [(x - 1)(x + 5)] - [(x + 1) ( x - 4)

= [x(x + 5) - 1(x + 5)] - [x(x - 4) + 1( x - 4)]

= [ x^2 + 5x - 1x -5] - [ x^2 - 4x + 1x - 4]

= x^2 + 5x - 1x - 5 - x^2 + 4x - 1x + 4 ....(after removing the brackets)

= x^2 - x^2 + 5x + 4x - 1x - 1x - 5 + 4.....( as (+ x^2 )and (- x^2 )get eliminated due to opposite signs)

= 9x - 2x - 1

= 7x - 1

So, option A: 7x - 1 is the correct answer.

. What's the variable next to a number mean? So like 3y or 10×. I have a test

Answers

Step-by-step explanation:

3y means 3 times y.  It is normally used to shorten an equation with a variable to save room.  The number is always placed before the variable.

If c = 5 what is the perimeter of the house?

I’m marking branliest

Answers

65 because 4c +2 = 22 and then 4c+ 1= 21 then plus ten and plus 12

convert 70/100 to a decimal

Answers

Answer: convert 70/100 to a decimal

70 divided by 100 is gonna give us 0.7

The Answer is gonna be 0.7

This is the right Answer :3

I hope you are having a great day :3

Explanation :

70/100

=7/10

=0.7

Answer:

0.7

Step-by-step explanation:

Given:

70/100

7/10

0.7

The following table gives annual life insurance premiums per $1,000 of face value. Use the table to determine the face value of a 10-year term insurance policy on a 24-year-old male given that the annual premium for the insurance policy is $359.25. If need be, round your answer to the nearest cent.
A 5-column table with 6 rows titled Term Insurance. Column 1 is labeled Age with entries 20, 21, 22, 23, 24, 25. Column 2 is labeled 5-year term male (dollars) with entries 2.43, 2.49, 2.55, 2.62, 2.69, 2.77. Column 3 is labeled 5-year term female (dollars) with entries 2.07, 2.15, 2.22, 2.30, 2.37, 2.45. Column 4 is labeled 10-year term male (dollars) with entries 4.49, 4.57, 4.64, 4.70, 4.79, 4.85. Column 5 is labeled 10-year term female (dollars) with entries 4.20, 4.29, 4.36, 4.42, 4.47, 4.51.
a.
$75,000
c.
$80,369.13
b.
$79,656.32
d.
$76,436.17



Please select the best answer from the choices provided


A
B
C
D

Answers

Answer:

The answer is  

a.

$75,000

Step-by-step explanation:

The face value of the 10-year term insurance policy on a 24-year-old male is $359.25 is given as follows: $75,000.

What is the face value of the insurance policy?

The face value of the insurance policy is given by the equation presented as follows:

Face value = 1,000 x (Annual premium / Amount paid per $1,000 coverage )

The parameters for this problem are given as:

Annual premium = $359.25, as given in the problem.

Also, Amount paid per $1,000 coverage for 24 year old male for 10 year policy = 4.79,

Hence the face value is calculated as:

Face value = 1000 x 359.25/4.79

Face value = $75,000.

More can be learned about the face value of insurance policies at brainly.com/question/23554493

#SPJ7

What is the maximum value?



Help please

Answers

Answer:

The maximum value is the 10's.

Step-by-step explanation:

Look at the chart and see which one has the most.

Can someone help me out with my math homework my grades are baddddd

Answers

Answers:

Area of figure 2 = 150 square cmWX = 25/6 cm (exact)WX = 4.167 (approximate)

It's not clear which version of WX your teacher wants, so I provided both of them.

============================================================

Explanation:

Focus on the perimeters. The jump from 36 to 30 means the linear scale factor is 30/36 = 5/6

This means,

WX/YZ = 5/6

WX/5 = 5/6

6WX = 5*5

6WX = 25

WX = 25/6 which is exact

WX = 4.167 approximately

---------------

The linear scale factor is 5/6, so the area scale factor is (5/6)^2 = 25/36.

The area of figure 1 is 216 cm^2, making the area of figure 2 to be 216*(25/36) = 150 cm^2

Write 0.000052 3 in standard form.

Answers

Answer:

[tex]5.23 \times {10}^{ - 5} [/tex]

-3x + 4y = 7
2x + y = -1
Elimination method

Answers

[tex]\huge{ \mathfrak{ \underline{ Answer \: \: ✓ }}}[/tex]

The equations are :

-3x + 4y = 7. - [1]

2x + y = -1 - [2]

[tex] \underline{ \underline{ \bf{step} - 1}}[/tex]

multiply equation [2] with 4

[tex] \longrightarrow(2x + y = -1 ) \times 4[/tex]

[tex] \longrightarrow8x + 4y = - 4[/tex]

[tex] \underline{ \underline{ \bf{step} -2}}[/tex]

subtract equation [1] from [2]

[tex] \longrightarrow8x + 4y - ( - 3x + 4y) = - 4 - 7[/tex]

[tex] \longrightarrow8x + 4y + 3x - 4y = - 11[/tex]

[tex] \longrightarrow11x = - 11[/tex]

[tex] \longrightarrow \: x = - 1[/tex]

[tex] \underline{ \underline{ \bf{step} - 3}}[/tex]

plugging the value of x in equation [1]

[tex] \longrightarrow- 3x + 4y = 7[/tex]

[tex]\longrightarrow - (3 \times - 1) + 4y = 7[/tex]

[tex]\longrightarrow3 + 4y = 7[/tex]

[tex]\longrightarrow4y = 4[/tex]

[tex]\longrightarrow \: y = 1[/tex]

[tex] \#TeeNForeveR[/tex]

ASAP WILL GIVE BRAINLIEST 73 POINTSS
Find the volume of the figure.


Volume =

Answers

Answer:

Solution given;

length[l]=20cm

for trapezoid

side 1=37cm

side 2=15cm

height[h]=25.7cm

we have

volume =area of trapezoid *length

=½*h(side 1+side2)*l=½*25.7(37+15)*2013364cm³

the volume of the figure13364cm³.

Need help ASAP !!! And show work please

Answers

Answer:

[tex]\sqrt{40}[/tex] or 6.32

Step-by-step explanation:

We can find the distance between two points by using this formula

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

where the x and y values are derived from the given points

The points given are ( -2 , 5 ) and ( 4 , 3 )

So we plug in the x and y values of those coordinates into the distance formula

[tex]\sqrt{(4-(-2)^2+(3-5)^2} \\4-(-2)=6\\3-5=-2\\d=\sqrt{6^2+-2^2} \\6^2=36\\-2^2=4\\36+4=40\\d=\sqrt{40}[/tex]

or 6.32

will give brainlyist if quick

Answers

Answer:

0

Step-by-step explanation:

1/2 times 4 is 2 and 2 minus 2 is 0

Answer:

y=0

Step-by-step explanation:

Substitute x in place of x

y=[tex](\frac{1}{2} *4)-2[/tex]

y=2-2

y=0

asnwer this its khan academy i only get one try

Answers

Answer:

C.

hope this helps

have a good day :)

Step-by-step explanation:

What do you call a cow in a earthquake?

Answers

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!A Milkshake!!!!!

Answer:

a milkshake

Step-by-step explanation:

tha malk is shakin'

5 questions!!! 6 total but the last question will be separate will be giving 35 points to correct answer. Links will be ignored. I will mark brainliest!

Answers

Answer:

Step-by-step explanation:

1)down 8 up 10

2)11.2

3)9+9+9+9+9=45

4)middle

5)77.0

What’s the he answer to this question?plz help

Answers

Answer:

Um I don’t know

Step-by-step explanation:

Jared has ice cream so eats it then his mom puts him to

Marcus scored 100 points while playing 3 rounds of a game. Points Round 1 40 Round 2 20 Round 3 ? Total 100 How many points did he score in round 3? Fill in the blanks to solve the problem. let yra​

Answers

Answer:

40 points

Step-by-step explanation:

40 + 20 = 60

100 - 60 = 40

so round three equals 40 points

Answer:

60 points in round 3

Step-by-step explanation:

Since the total is 100, and they already got 40 points (from round 1 and 2) then just subtract them from the total to find what you got in round 3.

Which ordered pair is a solution to the system of inequalities?
у< 3х
y< 5
A. (1,3)
B. (9,4)
C. (4,10)
D. (-12,50)

Answers

Answer:

[see below]

Step-by-step explanation:

I used a graphing program to graph the given system. I also graphed the points given.

Options B's choice lies in the double shaded area, so it would be a solution to the system.

See the graph attached!

Hope this helps you!  

Aakriti bought a tray of eggs from a shop. She found that 6 eggs were rotten and 5 eggs were broken

in the total of 40. Find the ratio of:

(i) good eggs to rotten eggs

(ii) broken eggs to good eggs

(iii) rotten eggs to broken eggs.​

Answers

Answer:

(i)  29 : 6

(ii)  5 : 29

(iii) 6 : 5

Step-by-step explanation:

The diagram shows the floor plan of the stage at a theatre. (i put image) The stage is made from a rectangle and a semicircle, the rectangle is 16 m long and 5.5 m wide. Work out the total area of the stage


give your answer correct to 2 decimal places

Answers

Answer:

188.53 m²

Step-by-step explanation:

Total area of the stage = area of the rectangle + area of the semicircle

Area of rectangle = Length * Width

Length = 16 m

Width = 5.5 m

Area of rectangle = 16*5.5 = 88 m²

Area of semicircle = ½(πr²)

r = ½(16) = 8 m

Area = ½(π*8²)

Area = 100.53 m²

Total area of the stage = 88 + 100.53 = 188.53 m²

Find the measure of the angles D, E, and F
HELP PLZ

Answers

Answer:

D) 122

E) 30

F) 28

Step-by-step explanation:

Angle D:

value of angle across is equal to angle D = 122

Angle E:

value of angle across is equal to angle E = 30

Angle F:

180 - 122-30

Answer:

D) 122

E) 30

F) 28

Step-by-step explanation:

Plss answer this ………………

Answers

Answer:

1.  x= 9+5

x= 14

2. y=48-12

y= 36

3. x=48/4

x= 12

4. y= 6x50

y= 300

only know thesee..

hope it helps

thenks and make me brainliestt pls :))

A shipping company claims that 95% of packages are delivered on time. A student wants to conduct a simulation to estimate the number of packages that would need to be randomly selected to find a package that was not delivered on time. The student assigns the digits to the outcomes.

00-04 = package not delivered on time

05-99 = package delivered on time

Here is a portion of a random number table. (Shown in attached image)

Beginning at line 1, and starting each new trial right after the previous trial, carry out 5 trials of this simulation. Based on the 5 trials, what is the average number of packages that need to be selected in order to find a package that was not delivered on time?

A.) 2.2
B.) 2.25
C.) 2.33
D.) 2.5

Answers

Answer:

A. 2.2

Step-by-step explanation:

edge 21-22

Carmen compro 5 blusas y 4faldas por 300 Gaby adquirió 2 blusas y 6 faldas por 230cual es el precio de cada blusa y de cada falda?

Answers

Answer:

El precio de cada falda es 25.

El precio de cada blusa es 40.

Step-by-step explanation:

Un sistema de ecuaciones es un conjunto de ecuaciones con las mismas incógnitas. Un  sistema de ecuaciones lineales es un sistema de ecuaciones en el que cada ecuación es lineal.

Entonces, un sistema de ecuaciones lineales es un conjunto de dos o más ecuaciones de primer grado, en el cual se relacionan dos o más incógnitas.

Una solución de un sistema es una asignación de valores para las incógnitas que hace  verdadera cada una de las ecuaciones. Es decir, resolver un sistema de ecuaciones consiste en encontrar el valor de cada incógnita para que se cumplan todas las ecuaciones del sistema.

En este caso, se debe plantear un sistema de ecuaciones, donde las variables son:

x= precio de una blusa.y= precio de una falda.

Carmen compro 5 blusas y 4 faldas por 300. Esto se plantea mediante la expresión:

5*x + 4*y= 300

Gaby adquirió 2 blusas y 6 faldas por 230, expresado mediante la expresión:

2*x + 6*y=230

Entonces el sistema de ecuaciones a resolver es:

[tex]\left \{ {{5*x+4*y=300} \atop {2*x+6*y=230}} \right.[/tex]

En el método de sustitución se comienza con una ecuación en el sistema y se despeja una  incógnita en términos de la otra incógnita. En este caso, despejando x de la primer ecuación se obtiene:

5*x= 300 - 4*y

[tex]x=\frac{300 - 4*y}{5}[/tex]

A continuación se sustituye la expresión hallada en la otra ecuación, para  obtener una ecuación con una incógnita y, a continuación se despeja esa incógnita. Entonces:

[tex]2*\frac{300 - 4*y}{5} + 6*y= 230[/tex]

[tex]\frac{2}{5}*(300 - 4*y) + 6*y= 230[/tex]

[tex]\frac{2}{5}*300 - \frac{2}{5}*4*y + 6*y= 230[/tex]

[tex]120 - \frac{8}{5}*y + 6*y= 230[/tex]

[tex]- \frac{8}{5}*y + 6*y= 230-120[/tex]

[tex]\frac{22}{5}*y = 110[/tex]

y= 110 ÷ [tex]\frac{22}{5}[/tex]

y= 25

Entonces, el precio de cada falda es 25.

Por último, se sustituye el valor  hallado en la expresión [tex]x=\frac{300 - 4*y}{5}[/tex] para despejar la incógnita restante:

[tex]x=\frac{300 - 4*25}{5}[/tex]

x= 40

Entonces, el precio de cada blusa es 40.

Please help me I will give branliest! Find the indicated trig ratio and write your answer as a simplified fraction. Image attached

Answers

[tex]cosec( \theta) = \frac{1}{sin( \theta)} [/tex]

[tex]sin( \theta) = \frac{opposite}{hypotenuse} [/tex]

[tex]cosec( \theta) = \frac{hypotenuse}{opposite} [/tex]

[tex]cosec( \theta) = \frac{21}{4 \sqrt{5} } [/tex]

447.593 + (9.247 x 66.6) + (3.098 x 161) - (4.330 x 14)​

Answers

Answer:

1501.6

Step-by-step explanation:

_____z_______________

Answer:

447.593+1054.0082x

Step-by-step explanation:

Hope this helps.

When you add 18 to 1/4 of a number,you get the number itself ?

Answers


Let x be the unknown number. Then we have 18+x/4=x which is the same as (3/4)x=18 or x=24.

Which expression is equivalent to 28+7?

Answers

Answer:

35

Step-by-step explanation:

anything that gives u the same answer which is 35. so it can be 9+ 26 or 11+ 24 or 10+15 and so on

Answer:

35

Step-by-step explanation:

I DONT KNOW LOL PLS HELO AGAIN FOR MY TEST.. I am trying to score a good score but I understand nothing

Answers

Answer to #16 is 145 feet. uuuhhh that’s about as much as I can answer sorry :/
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