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

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

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

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

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

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

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

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

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

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

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

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:

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

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 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]

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

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.

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.

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!

NEED HELP MARKING PEOPLE AS BRAINLIST ANDWER IF YOU KNOW

Answers

Answer:

it will be C) SAS(side angle side)

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

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

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.

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

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

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

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!!

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.

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

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

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