The diagonals of this rhombus are 8 and 16 units long. Their intersection creates four right angles, two 4-unit-long segments, and two 8-unit long segments. Given this information, find the area of the rhombus in square units (Use only the digits 0 – 9 and the decimal point, if needed, to enter a number).

Answers

Answer 1

Answer:

[tex]64\ \text{sq. units}[/tex]

Step-by-step explanation:

Area of a rhombus is the product of the length of the diagonals divided by two.

Length of one diagonal is 8 units and the other diagonal is 16 units

Area is given by

[tex]A=\dfrac{8\times 16}{2}\\\Rightarrow A=64\ \text{sq. units}[/tex]

The area of the rhombus is [tex]64\ \text{sq. units}[/tex]

Another approach is the diagonals have created 4 triangles where the base and is height is either 4 units long or 8 units long so the area of the rhombus would be the area of the 4 triangles.

[tex]A=4\times \dfrac{1}{2}\times 4\times 8\\\Rightarrow A=64\ \text{sq. units}[/tex]


Related Questions

Write the decimal represented by the shaded square.

Answers

Answer:

40\100= 4\10=0.4

Answer:

Percentage Form: 40/100 Decimal Form: 0.4 Word Form: 4 tenths

NEED HELP MARKING PEOPLE AS BRAINLIST ANDWER IF YOU KNOW

Answers

Answer:

it will be C) SAS(side angle side)

what numbers must be added to complete the perfect square?​

Answers

Answer:

256

Step-by-step explanation:

Let the number be k

Thus, the equation can be written as:

x² – 32x + k

From the above,

a = 1

b = –32

c = k

The value of k can be obtained as follow:

b² = 4ac

(–32)² = 4 × 1 × k

1024 = 4k

Divide both side by 4

k = 1024 / 4

k = 256

Thus, 256 should be added to x² – 32x to make it a perfect square i.e

x² – 32x + 256

****Check****

x² – 32x + k

k = 256

x² – 32x + 256

x² – 16x – 16x + 256

x(x – 16) – 16(x – 16)

(x – 16)(x – 16)

(x – 16)² QED

Find the equation of the line that is perpendicular to y = -2x+ 6 and passes though the point (-4,2).

Answers

Answer:

y= 1/2x + 6

Step-by-step explanation:

when making a perpendicular equation, flip the slope.

Answer:

y = 1/2x + 4

Step-by-step explanation:

The slope of the perpendicular line will have the complete opposite slope.

The perpendicular slope is 1/2x.

To get the slope I just got the opposite sign and reciprocal of -2.

NOW plug in (-4,2) to find the y-intercept

2 = 1/2(-4) + b (b represents y-intercept)

2 = -2 + b (add 2 on both sides)

4 = b

y = 1/2x + 4 is the final equation

HOPE THIS HELPS!!

Owen loves reading and started counting the total number of books reads this year. He adds up the total at the end of each month and his list as follows: {4, 7, 10, 13) Which equation represents the number of books he is reading?
Select one:
1) y = x+ 3
2) y = 3x +1
3) y = 4x
4) y = 3x​

Answers

Answer: its answer 3, most likely

Step-by-step explanation: i remember this question

There are 14 green crayons and 28 red crayons in a bin. What is the ratio of green crayons to red crayons in simplest form?

Answers

Answer:

Green crayons are 1/3 of all the crayons and the red crayons are 2/3 of the crayons. So 1/3rd to 2/3rds

Step-by-step explanation:

14+28=42

14/42=1/3

28/42=2/3

Brian makes 9 dollars for each hour of work. Write an equation to represent his total pay p after working h hours.

Answers

Answer:

9h

Step-by-step explanation:

9 = $/hour

h = hours

Then you would multiply 9 by the number of hours worker, or h.

Solve the following proportion for u.
17/13=u/4

Answers

Answer:

u=5.23

Step-by-step explanation:

[tex]\frac{17}{13} =\frac{u}{4}\\13u=68~by~cross-multiplication\\u=5.23~rounded~to~the~nearest~hundreds[/tex]

PLZZZZZ ANSWER ASAPPPPP 1. Calculate the unit rate: 324.8 meters in 28 seconds

Answers

Unit Rate = 11.6 meters per second.

324.8/28= 11.6

Starting at (0,0) if you were to go up 7 units and left 4 what coordinates would you end up at? What quadrant would you be in

Answers

Answer:

(-4,7) and the 2nd quadrant

Step-by-step explanation:

hope this helped

Answer:

Quadrant 2.

Step-by-step explanation:

The quadrants on a graph count counterclockwise.

Marcus has a summer job where he makes $45 per day. Yesterday his boss told him he was getting a raise to $63 per day because he was such a hard worker. What is the percent increase in Marcus' salary? Write a number answer without a dollar sign.

Answers

Answer:

40% increase

Step-by-step explanation:

63/45 = 1.4 = 140%

63 is 140% of 45 meaning it is a 40% increase

The percent increase in Marcus' salary is 40% as per percentage calculation.

What is percentage calculation?

"Percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100. The formula used to calculate percentage is: (value/total value)×100%."

Given, Marcus has a current job that pays $45 per day.

From yesterday, he is getting $63 per day.

Therefore, the increase in daily salary = $(63-45) = $18.

Therefore, the percentage increase of his daily salary = (18/45) × 100 = 40%.

Learn more about percentage calculation here: https://brainly.com/question/92258

#SPJ2

A robot can complete 3 tasks in hour. Each task takes the same amount of time. 10 a. How long does it take the robot to complete one task? b. How many tasks can the robot complete in one hour? ​

Answers

Answer:

a.20 minutes

b.3 tasks

Step-by-step explanation:

60 divided by 3 = 20

LLEASE HLEP HELP PLEASE HELP

Answers

Answer:

V= 301.44

Step-by-step explanation:

the formula for a cone is 1/3 Bxh

B= area of base

h= height

Which of the following numbers are less than -0.625?
Choose all answers that apply:
a: -8/5
b: -5/8
c: -0.5

Answers

Answer:

A

Step-by-step explanation:

translating the decimal -0.625 to fraction form, you get -5/8, which is equal to B. C is greater, being closer to 0 than -0.625, so that leaves you with A, which is -1.6, and less than -0.625.

The answer is A good luck on your test

At a​ little-known vacation​ spot, taxi fares are a bargain. A 28 ​-mile taxi ride takes 32 minutes and costs ​$22.40 You want to find the cost of a 38​-minute taxi ride. What unit price do you​ need?

Answers

Answer: You need the unit price of how much it cost per min.

Step-by-step explanation:

First you have to find how much it costs for each min. So you divive 22.40 by 32 and you will get the answer for the cost of each min. Then Multiply the cost of each min by 38 and you should get the cost for 38 min.

One number is 8 more than another, and their sum is 80. What is the smaller number?

34
36
38
40

Answers

Answer:one number is eight more than twice another and their sum is 20. what are their number? one number = x = 2y+8 another number = y so, (2y+8)+ y=20 simplify 3y+8=20 3y=20-8 3y=12 y=4, checking the answer gives x=2(4)+8=16 so, y = 4 and x = 16 4+16=20

Step-by-step explanation: hi stay safe stay home only this year ok

ABCD ~ EFGH
B
G
3
140°
F
4.5
2
у
50°
110°
Z
A
х
D
E
24 H
z = [?]°

Answers

Answer:

[tex]z = 110°[/tex]

Final answer

You typed a 36-word paragraph in 2/3 minute. What is his typing speed,in words per minute? SHOW WORK!!!

Answers

Answer:

52

Step-by-step explanation:

36/2=16

16=1/3

16x3=52

52 words= 1 minute

16^2+8^2=
Show what you did

Answers

Answer:

Step-by-step explanation:

(16*16)+(8*8)

16. 8

16. 8

—————-

96. 64

160

—————-

256+64=320

Answer:

320

Step-by-step explanation:

16^2 + 8^2 = 16 * 16 + 8 * 8 = 256 + 64 = 320

A company has two manufacturing plants with daily production levels of 7x + 19 items and 2x - 7 items, respectively. The first plant production how many more items daily than the second plant? The first plant produces __? More items daily than the second plant.

Answers

Answer:

The first plant produces 5x + 26 more items daily than the second plant

Step-by-step explanation:

First plant = 7x + 19

Second plant = 2x - 7

The first plant production how many more items daily than the second plant?

Subtract items produced by the second plant from items produced by the first plant

= 7x + 19 - (2x - 7)

= 7x + 19 - 2x + 7

= 5x + 26

The first plant produces 5x + 26 more items daily than the second plant.

solve for answer z/7+19>3.5

Answers

Answer:

z > -108.5

Step-by-step explanation:

1. z/7+19>3.5

Subtract 19 from both sides

2. Z/7 > -15.5

Multiply both sides by 7

3. Z > -108.5

Solve for b.

b /–4+ 18 = 20

Answers

Answer:

280

Step-by-step explanation:

(b/ -4 + 18 )(-4 + 18) = 20 (-4 +18)

b = 20 (-4 + 18)

b = 20 (14)

b = 280

35
How do you write as a percentage?
50

Answers

Answer:

0.7 is a decimal and 70/100 or 70% is the percentage for 35/50.

Step-by-step explanation:

Hope this helps!

m/4-1/2=m/6+5

Please help

Answers

Answer:

3m/12-6/12=2m/12+60/123m-2m/12=60-6/12m/12=54/12m=54/12×12m=54 

is the correct answer is the 54

how do you find the y-intercept?​

Answers

Answer:

The equation of any straight line, called a linear equation, can be written as:   y = mx + b, where m is the slope of the line and b is the y-intercept.               The y-intercept of this line is the value of y at the point where the line crosses the y axis.

so to find that you can use y=mx+b, or you can use point slope form and that would be y-y1+m(x-x1)

remember m= slope b= y- intercept

2) How old am I if 300 reduced by 4 times my age is 44?

Answers

Answer:

64

Step-by-step explanation:

300 -4x = 44

(300 - 44)/4= 64

check

64 x 4 =256

300 - 256 = 44

The length of a rectangle is twice its width, while the
perimeter of the rectangle is 36 units. . Which system of
equations can be used to find the length ( and the width w
of the rectangle?

Answers

Answer: Length = 12 units

Width = 6 units

Step-by-step explanation:

Let the width of the rectangle be represented by x.

Since the length of a rectangle is twice its width, thus means that the length will be: = 2x

Perimeter of a rectangle = 2(l + w)

where,

L = length

W = width

Therefore,

Perimeter = 2(l + b)

36 = 2(2x + x)

36 = 2(3x)

36 = 6x

x = 36/6

x = 6

Width = 6 units

Length = 2 × Width = 2 × 6 = 12 units

5. Danny spent $24 on snickers and M&M's. Snickers cost $2 and M&M's cost $3. The number of snickers is 3
less than the number of M&M's. How many Skittles and M&M's did he buy?

Answers

Answer:

My guy didnt buy no skittles cause he spent all his money on Snickers and  M&M's

Step-by-step explanation:

whats 80-40=

im dum answer this now.

Answers

Answer:

1010101001001010010100010100101011010101011010101101010100101010101001*****Error*****(bsys2EVRYBODY7dgheHATESjsdjhdjMEndbndnd822b3)*****Error*****

Step-by-step explanation:

Answer:

40 Thnxxx soooo muchhh really appreciate ittt

Decomposers _______
O add nutrients to the soil
O feed on dead animals
o include bacteria
all of the above

Answers

Answer:

All the above

Step-by-step explanation:

all of the following are true

The answer will be all the above
Other Questions
What is the number of molecule(s)? I will give you brainliest Please explain for all of these 1-5. 1. 4NHCO32. 3CaCO3 3. 5NaC2H3O4. 6NH35. 2CaCl2O2 Which of the following types of government is most likely to have a written constitution that can be amended? A. democracy B.monarchy C.dictatorship D. socialist republic wanna play mm2 in r0bl0x? Can someone help me? A learning mind map is used to aid in the organization of what type of information?lines from a speecho notes from class workO priorities for a projecto plans for a projectSUBMIT ANSWERREAD NEXT SECTIONASK FOR HELP What tools does the author use in "August Heat" to help develop the theme?Question 6 options:He uses foreshadowing, setting, plot, and characters to reveal the theme.He develops the theme by having the reader analyze James' journal.He uses only the character's actions to develop the theme.He describes the setting and quickly unfolds the details of the story to develop the theme. Read the passage from the ancient Egyptian Book of the Dead.Homage to thee, O my divine father Osiris! I come to embalm thee. Do thou embalm these my members, for I would not perish and come to an end [but would be] even like unto my divine father. . . . Let not my body become worms, but deliver thou me as thou didst deliver thyself. I pray thee, let me not fall into rottenness.What is the central idea of this passage? What describes the social structure of the South in the antebellum era? Select three responses. What do you think were the two most important short term consequences from 1450 1600 and the two most important long term consequences of the Columbian Exchange after 1600? i give out brainlist! Rule of the Roman Empire was divided between two emperors until A the fall of Rome.bthe code of Justinian.cthe conflict over iconoclasm.dthe crowning of Charlemagne. Identify and equation in point-slope form for the line parallel parallel to y=-2/3+8 that passes through 4,-5 To prevent concurrent access of records, a transaction requires a ____ prior to data access. key grain timestamp lock 2 + = 93 + 5y = 16Elimination Answer fast plzzzzzzzzz Write the Spanish pronoun you would use to replace the subject.Model:Mi familia y yo somos de Ohio. Nosotrossomos americanos.1. Michael Jordan es muy alto.es atltico.2. Mi maestra es la Sra. Taylor.es de Ohio3. Juan y Berto son de Ohio y Michigan.son compaeros de clase.4. Mi pap es muy fuerte.hace mucho ejercicio5. Las muchachas son bonitas.son mexicanas.6. Samuel y No, de dnde son7. Ana, cmo estshoy?8. La Sra. Garca y la Sra. Alvarado son maestras.son inteligentes.9. Mis amigos y yo somos estudiantes,somos compaeros.10. Mi mam se llama Julie.es muy alta y bonita.11. Mi perro se llama Maverickes grande y negro.12. Sr. Garca, de dnde es As bond number increases (double bonds rather than single, triple rather than double etc.), bond length and bond energy . Group of answer choices Decreases, increases Decreases, decreases Increase, increases Increase, decreases what is the slope of (1,-3) and (-5,-4) What are the themes of The Gift of Magi What is the answer for this plz??? I will mark brainliest!!! Explain why the electron configuration of 2-3-1 represents an atom in an excited state.