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

!100 POINTS!

The graph of g(x) is transformed from its parent function, f). Apply concepts involved in determining the key features of
a rational function to determine the domain and range of the function, g(x)=
1/X-6
A. What is the domain of the function, g(x)?
B. What is the range of the function, g(x)?

Answers

Do you want the explanation?

Determine whether each set of numbers can be the lengths of the sides of a triangle.

Answers

Answer:

1. not possible 2. triangle 3. not possible 4. not possible

Step-by-step explanation:

Help please!!! Math, look at the picture. When you click the pic it's clearer

Answers

Answer:

radius: 4.2 cm

circumference: 26.376 cm^2

area: 55.3896 cm^2

Step-by-step explanation:

radius is half the diameter so 8.4/2 = 4.2

circumference: C = (2)(pi)(r) ---> (2)(3.14)(4.2) --> 26.376

area: (pi)(r ^2) --> (3.14)(4.2^2) --> 55.3896

What dividend is represented by the synthetic division below?

Answers

Answer:

2x^3+10x^2+x+5

Step-by-step explanation

Answer to edge

Answer:

B - 2x^3 + 10x^2 + x + 5

Step-by-step explanation:

sammy and two friends rented three life jackets and a sailboat . the life jackets were $3 each and boat was $12 an hour . The total cost was $81 . for how many hours did they rent the sailboat

Answers

3 life jackets  $3.00= $9.00

1 sailboat  $12.00/hr

Total cost = $93.00

93-9= 84

84/12= 7

7 hours

What number is 150% more than 2/3

Answers

Answer:

4.5

Step-by-step explanation:

Answer:

0.4 repeating

Step-by-step explanation:

Divide 2/3 by 150%

AHHH PLEASE HELP! theres a pic

Answers

Answer:

A is Phosphourous, B is Oxygen

Step-by-step explanation:

The highest boiling point on the chart is 280 which belongs to Phosphouors, meaning that it has the highest boiling point. If you count it out, -183 you'd have to add 183 to get to 0, with 184 you would have to minus 184 to get to 0. So therefore oxygen's boiling point is closer to iodine.

What is the value of Arc cosine (sine (StartFraction 5 pi Over 4 EndFraction) )?
StartFraction 3 pi Over 4 EndFraction
StartFraction 5 pi Over 6 EndFraction
StartFraction 7 pi Over 6 EndFraction
StartFraction 5 pi Over 4 EndFraction

Answers

Answer:

3 pi over 4

Step-by-step explanation:

Answer:

guy above me is right

Step-by-step explanation:



PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((

Answers

Answer:

ddddd

Step-by-step explanation:

D SORRY IF IM WRONG

The Martinez family spent 28% of its monthly income for housing. If the family’s monthly income is $3,200, how much did they spend for housing?

Answers

Answer:.

Step-by-step explanation:

ill mark brainliest if correct so please help​

Answers

Answer:

wait do we solve it or is there answer choices??

2n + 3 = -3.2 what is the answer to n

Answers

Answer:n=-3.1

Step-by-step explanation:

2n + 3 = -3.2

Subtract 3 on both sides

2n+3-3=-3.2-3

2n=-6.2

Divide 2 on both sides

2n/2=-6.2/2

n=-3.1

Answer:

n= -3.1

Step-by-step explanation:

hope this helps have a nice day :)

someone plz help ive been stuck on this problem

Answers

Answer : B


Explanation: 8

Number the steps for balancing equations:

Answers

Step 1: The Unbalanced Chemical Equation. The unbalanced chemical equation is given to you. ...
Step 2: Make a List. ...
Step 3: Identifying the Atoms in Each Element. ...
Step 4: Multiplying the Number of Atoms. ...
Step 5: Placing Coefficients in Front of Molecules. ...
Step 6: Check Equation. ...
Step 7: Balanced Chemical Equation.

can anyone help with this question

Answers

Step-by-step explanation:

GCF of 2 prime numbers is always 1, because prime number only have two factors, themselves and 1.

LCM of 2 prime numbers will be simply multiplying them together.

Answer:

Sasha can do that by; finding the HCM of two factors.

Razi will tell Jake to find the LCM you have to find the least common factor of the numbers,and then that's your answer.

Explanation:

Hope this helps:)!

Explain how to find vertical and horizontal asymptotes of a rational
equation.

Answers

Answer:

Step-by-step explanation: If the degree (the largest exponent) of the denominator is bigger than the degree of the numerator, the horizontal asymptote is the x-axis (y = 0).

If the degree of the numerator is bigger than the denominator, there is no horizontal asymptote.

Geometry help, ie: linear, exponential, discrete, continuous

Answers

Answer:

Exponentail and Continuous

Step-by-step explanation:

Esponentail because the graph is going up by 3 times the pevous making the line curved, and Continuous because time continuses to pass through the  hours. (although if it is only looking at the point on the hour it is descrete).

If you are in a store and there is a discount sale u buy something and the original price was $45 and the discounted price was $18 what was the discount?

Answers

Answer:

Alternatively, if you notice that 25/100 simplifies to 1/4, we can use 1/4 in our ... Then we subtract this discount from the original price yielding 48 – 12 = 36; thus, ... There is a sale for 20% off on a sweater your grandma wants to buy you for ... the store and gets an additional 25% discount off the already discounted sale price.

(:

Answer:

40% off. 40% of 45 is 18

Step-by-step explanation:

I really need this done today please help PLEAASSSEEE

Answers

Answer:

A and C

Step-by-step explanation:

Answer:

If I am correct, the answer is A, C

Step-by-step explanation:

What is the volurne of the figure? Enter the answer in the box.
Cubic feet

Answers

Answer:

2700ft cubed

Step-by-step explanation:

write an equation for the line that passes through the given points (-2,9) And (1 ,-3)​

Answers

Answer:

Finding slope: y2-y1/x2-x1

3-9/1+2

=-6/2

Divide 2 from both

=-3/1 or -3

Slope= -3

Finding y-intercept= y=mx+b

Choose any point on the line to plug in the x and the y then plug in the slope.

I choose (1,3)

3=-3×1+b

3=-3+b

Add 3 to both sides

6=b

Y-intercept=6

Equation: y=-3x+6

Step-by-step explanation:

find the midpoint rounded to the nearest hundreth a (-2,1) b (-1,1)

Answers

Answer:

[tex](-1.5, 1)[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Midpoint Formula: [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

Step-by-step explanation:

Step 1: Define

Endpoint A (-2, 1)

Endpoint B (-1, 1)

Step 2: Find Midpoint

Simply plug in your coordinates into the midpoint formula to find midpoint

Substitute [MF]:                    [tex](\frac{-2-1}{2},\frac{1+1}{2})[/tex]Subtract/Add:                       [tex](\frac{-3}{2},\frac{2}{2})[/tex]Divide:                                  [tex](-1.5, 1)[/tex]

3 - 7x plus 2x when x =3

Answers

Answer:

-12

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

3 - 7x + 2x

x = 3

Step 2: Evaluate

Substitute in x:                    3 - 7(3) + 2(3)Multiply:                               3 - 21 + 6Subtract:                              -18 + 6Add:                                     -12

Answer:

if x is 3 then

3-7(3)+2(3)

-18+6

-12 done

Write the equation for the line can somebody help me and show me how to do it

Answers

(NOTE: many questions may ask you to put the equation in a certain format. This answer is assuming you can put it in slope-intercept form.)

Answer:

y= -3x-3

Step-by-step explanation:

1) A handy way to write an equation from a graph is to use the slope-intercept form: y = mx + b. In this format, the "m" represents the slope - or the measure of the steepness of the graph (we'll get more into this in the next step). The "b" represent the y-intercept, or where the point in which the graph hits the y-axis. If you know what the slope and y-intercept is, it is very easy to create an equation!

2) So let's find the slope first. The slope of an equation is represented by [tex]\frac{rise}{run}[/tex] , or the change in the y from each point, going up or down, divided by the change of x, going from left to right. So, knowing this, we can take two points we see the line hit and count the change from the x and y values.

Let's take the points (-1,0) and (0,-3). To find the rise, or the change in y, start from (-1,0) and count how many units it would take vertically to get to (0,-3). If you went down, then be sure to add a negative to the number of units you counted. To find the run, or change in x, do the same and count how many steps it would take horizontally to get to (0,-3) too. If you went left, then be sure to add a negative to the number of units you counted. So, if you did it correctly, you would get -3 as your rise and 1 as your run. Using the [tex]\frac{rise}{run}[/tex] equation, divide -3 by 1 and your slope is -3.

3) Now, let's find the y-intercept. This part is much easier: just look at the graph and find the point where the line hits the y-axis. In this case, it's (0,-3).

4) All you have to do now is plug the slope and y-intercept we found into y = mx + b. So, put the slope in the "m" place and remember to put the y-value of the y-intercept into the "b" place.

This should get you y= -3x - 3 as your answer!

How is (5 , -7) and (-5 , 7) related on a coordinate plane?

Answers

Answer:

they are on opposite quadrants and they meet exactly in the origin (0,0)

Solve for x!!! Help please this is urgent!!!

Answers

Answer:

46.6

Step-by-step explanation:

[tex]48^{2} - 20^{2} = 1904\\\sqrt{1904} = 43.6\\43.6 + 3 = 46.6[/tex]

Change in y:
Change in x:
Slope:​

Answers

Answer:

a) 5, b) 6, c) 5/6

Step-by-step explanation:

Use the two points from the graph:

(0, 0) and (6, 5)

a) Change in y is:

5 - 0 = 5

b) Change in x is:

6 - 0 = 6

c) Slope is:

Change in y / change in x = 5/6

Alexander is a stockbroker he earns 11% commission each week last week he sold $7000 worth of stocks how much did he make last week in commission if he averages the same amount each week how much did he make in commission in 2011

Answers

Answer:

the amount that he makes last week and in the year 2011 is $770 and $40,040 respectively

Step-by-step explanation:

The computation of the amount that he makes last week and in the year 2011 is as follows:

= Sale value of the stocks × earning percentage × number of weeks in a year

= $7,000 × 11% × 52 weeks

= $40,040

hence, the amount that he makes last week and in the year 2011 is $770 and $40,040 respectively

We simply applied the above formula so that the correct value could come

And, the same is to be considered

It was -5Cin Copenhagen and -12C in Oslo. Which city was colder?

Answers

-12°C is colder than -5°C.

Which is the quotient of 17. 51 +3.4?
O A. 5.07
O B. 5.15
OC. 5.21
D. 5.25 HELP THIS ENDS IN 10 MINUTES

Answers

Answer:

5.15

Step-by-step explanation:

17.51 / 3.4 = 5.15

Answer and Explanation

5.15 or [tex]\frac{17.51}{3.4}[/tex]

__________________________________________________________

We can prove this is the answer by dividing both numbers.

__________________________________________________________

[tex]17.51[/tex] = [tex]\frac{1751}{100}[/tex]

[tex]3.4[/tex] = [tex]\frac{17}{5}[/tex] = [tex]3\ \frac{2}{5}[/tex]

__________________________________________________________

[tex]\frac{1751}{100}[/tex] [tex]\div[/tex] [tex]\frac{17}{5}[/tex] = [tex]?[/tex]

[tex]\frac{17.51}{3.4}[/tex] [tex]or[/tex] [tex]5.15[/tex]

__________________________________________________________

So, that means the answer is [tex]5.15[/tex]

__________________________________________________________

Hope this helps! <3

__________________________________________________________

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