Mathematics College

PLEASE HELP! 40 points!! I've been stuck on this for 30 minutes constantly coming up with all different answers, please help me.

What is the area of rhombus ABCD?



Enter your answer in the box. Do not round at any steps.

______units²

PLEASE HELP! 40 Points!! I've Been Stuck On This For 30 Minutes Constantly Coming Up With All Different

Answers

Answer 1

Answer:

36 units^2

Step-by-step explanation:

The area of a triangle is 1/2*base*height. Knowing this is just 2 triangles means you solve for 1 triangle, then multiply that by 2

Answer 2

Answer:

[tex]A=36\text{ units}^2[/tex]

Step-by-step explanation:

The area of a rhombus is given by the formula:

[tex]A=\frac{d_1\cdot d_2}{2}[/tex]

Namely, it is half of one diagonal multiplied by the other diagonal.

So, to find the area, we just need to find the length of AC and BD, multiply them together, and then divide by 2.

To find their lengths, we can use the distance formula. The distance formula is:

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

So, let's find the lengths of each diagonal:

AC:

Point A is (-1,0) and Point C is (-1,-6). Let (-1,0) be (x₁, y₁) and let (-1,-6) be (x₂, y₂). Substitute this into our formula:

[tex]d=\sqrt{(-1-(-1))^2+(-6-0)^2[/tex]

Simplify:

[tex]d=\sqrt{(-1+1)^2+(-6-0)^2[/tex]

Add or subtract:

[tex]d=\sqrt{(0)^2+(-6)^2[/tex]

Square:

[tex]d=\sqrt{36}[/tex]

Take the square root:

[tex]d=6[/tex]

So, the length of diagonal AC is 6.

BD:

Point B is at (5,-3) and Point D is at (-7,-3). Let (5,-3) be (x₁, y₁) and let (-7,-3) be (x₂, y₂). Substitute this into our formula:

[tex]d=\sqrt{(-7-5)^2+(-3-(-3))^2[/tex]

Simplify:

[tex]d=\sqrt{(-7-5)^2+(-3+3)^2[/tex]

Add or subtract:

[tex]d=\sqrt{(-12)^2+(0)^2[/tex]

Square:

[tex]d=\sqrt{144}[/tex]

Take the square root:

[tex]d=12[/tex]

So, our second diagonal is 12 units long.

Now, to find the area, substitute 6 and 12 into our formula. So:

[tex]A=\frac{d_1\cdot d_2}{2}[/tex]

Substitute 6 for d₁ and 12 for d₂. So:

[tex]A=\frac{(6)(12)}{2}[/tex]

Multiply:

[tex]A=\frac{72}{2}[/tex]

Divide:

[tex]A=36\text{ units}^2[/tex]

So, the area of the rhombus is 36 squared units.

And we're done!

Notes:

Of course, instead of using the distance formula, you can also just count :)

Related Questions

David is flying from Hong Kong to Buenos Aires. The total flight distance is 11,472 miles. If the plane has 7,793 miles left to travel, how far has it already traveled?

Answers

3679 your just gonna subtract 11,472 from the miles he still has left which is 7793 so your answer is 3679
3679 is the answer

Hope it helps

answer ASAP pic below

Answers

D is the Answer
Last part


Which input value produces the same output value for
the two functions on the graph?

X = -1
X = 0
X = 3
X = 4

Answers

Answer:

x = 4

Step-by-step explanation:

The input values are the x-values represented in the graph while the output values are the y-values.

The x-coordinate of the point at which the line of the two functions intersect, f(x) and g(x), is the input values that produces the same output values for both functions.

Thus:

For f(x), when x = 4, y = 3. That is f(4) = 3.

Also, for g(x), when x = 4, y = 3. That is g(4) = 3.

Therefore, the input values that produces the same output values for both functions is x = 4.

Answer:

D: x = 4

Step-by-step explanation:

just took the test :-)

7 x [{9+8)-(12-7)] answer

Answers

Answer:

84

Step-by-step explanation:

7×[17-5]

7×12

84

hope it will help

PLZ FAST I DONT WANNA DIE

Answers

Answer:

x=15

Step-by-step explanation:

<GCB=180-5x

<EBA=9x

<DAC=8x

The sum of the three exterior angles equals 360.

(180-5x)+9x+8x=360

180-5x+9x+8x=360

-5x+9x+8x=360-180

12x=180

x=15

You will add numbers that are relevant to your life and then find the square root of that sum in simplified radical form. Find the sums of: A. All of the ages of the people in your household. B. All the digits in your telephone number, including the area code. C. All of the letters in your first name if you let a

Answers

Step-by-step explanation:

A. Dad = 50, Mum  = 47, Sister = 22

me = 19

Total Sum = 50 + 47 + 22 + 19

= 136

√136 = 11.662.

B. + 1435 797 202 = 40

√40 = 6.33

C. BRYAN = 2 + 18 + 25 + 14 = 59

√59 = 7.68.

Mr. Ahmed has 31 students in his class. There are 14 boys and 17 girls. what is the answer for this

Answers

Answer:

What do you mean? 14+17 is 31.. 14<17

Answer:

1. 14:31

2. 17:31

Step-by-step explanation:

i got it right on e d g e n u i t y 2020

hope it helps (:

1/5(x)( 5/1)=6/3(5/1) What is the value of the x?

Answers

Answer:

The value of x would be 10. I hope this helped :)

Answer:

10

Step-by-step explanation:

on the left side 1/5 and 5/1 time each other is 1. Which means the x is already alone. On the right 6/3 times 5/1 is 10. So x = 10.

Given f(x)=10(3−x)+6, what is the value of f(−1)?

Answers

Answer: 46

Step-by-step explanation:

10 (3 +1) + 6

30 + 10 + 6

46

A church luncheon made $842. Adult tickets cost $10 each and children’s tickets cost $6 each. The number of children was 12 more than twice the number of adults. How many of each ticket were sold?

Answers

the number of adult ticket's sold = 35

And the number of child ticket's sold = 2 x 35 + 12 = 70 + 12 = 82

Step-by-step explanation:

Answer:

312

Step-by-step explanation:

12*6 for children 24 of adult because of of double children 24*10 240 so 240+72=312

Mrs. Ming invested an amount of money in two accounts for one year. She invested some at 8% interest and the rest at 6% interest. Her total amount invested was $1,500. At the end of the year, she had earned $106.40 in interest. How much had Mrs. Ming invested in the account paying 6%?

Answers

Answer: $680

Step-by-step explanation:

100 POINTS!! ASAP - Plss SHOW WORK

Answers

Answer:

h ≈ 174.3 m

Step-by-step explanation:

Step 1: Define variables

∅ = 71°

b = 60 meters (horizontal leg of the triangle)

We are solving for height h (vertical leg of the triangle)

Step 2: Use Trig

tan∅ = opposite over adjacent

tan71° = h/60

Step 3: Evaluate

60tan71° = h

h = 174.253 m

h ≈ 174.3 m

Answer:

the height of the building is 174.3 m

Step-by-step explanation:

see attached image

height of building (h) = x tan Ф

where x = 60m

Ф = 71°

plugin values into the formula

h = 60 tan (71)

h = 174.3 m

therefore

the height of the building is 174.3 m

marcus wants to buy candy. He has 5$. Each candy bar cost 75 cents. how many candy bars can he buy? define the variable you would use to solve the problem.

Answers

Answer:

5*75

Step-by-step explanation:

Answer:6

Step-by-step explanation:

If you divide 5.00 by 0.75 and you'll get 6.6666666667 and it says how many candy bars so it will be 6 because the other point and lower stuff isn't a whole candy bar

A triangle is placed in a semicircle with a radius of 5 yd, as shown below. Find the area of the shaded region.
Use the value 3.14 forn, and do not round your answer. Be sure to include the correct unit in your answer.
is yd please help

Answers

Answer:

  14.25 yd^2

Step-by-step explanation:

The triangle area is given by the formula ...

  A = 1/2bh

Here, the base is 10 yd, and the height is 5 yd, so ...

  triangle area = (1/2)(10 yd)(5 yd) = (5 yd)^2 = 25 yd^2

__

The semicircle is half the area of a circle with radius 5 yd, so its area is ...

  semicircle area = (1/2)π(5 yd)^2 = 12.5π yd^2 ≈ 39.25 yd^2

__

The shaded region is the difference between these areas:

  shaded area = 39.25 yd^2 -25 yd^2 = 14.25 yd^2

A customer at a Mexican diner placed an order for 3 burrito bowls. He also ordered 2 plates of corn tacos at $12.96 each. He was billed
a total of $45.42.

Answers

Answer:

$6.05 for each burrito bowl

Step-by-step explanation:

12.96+12.96=25.92

45.42-25.92= 19.5

19.5/3= 6.5

A car rental company charges $0.10 per mile plus $30 per day for a midsize sedan. If
Lawrence rents a vehicle for four days and has $200, what is the maximum number of
miles he can drive?

Answers

Answer:8 days and 12 hours

Step-by-step explanation:30$ is each day

Answer:

800 miles

Step-by-step explanation:

Its 800 miles

NEED HELP ASAP!!! name each angle in as many ways different as possible

Answers

JGL,LGJ, GJ, GL are the four angles

A cylindrical container has a height of 24 inches. Currently, the container is filled with water to a height of 18 inches. A leaky faucet drips into the container, causing the height of the water in the container to increase by 2 inches per hour. The equation below can be used to find t, the number of hours it would take to fill the container.
18 + ?t = 24
What number should be the coefficient of t?
2
3
18
24

Answers

Given:
height of cylindrical container = 24 inches
height of water in container = 18 inches
leaky faucet increases water by 2 inches per hour.

18 + ?t = 24

The coefficient of t is 2.

18 + 2t = 24
2t = 24 - 18
2t = 6
2t/2 = 6/2
t = 3

It would take 3 hours to fill the container.

18 + 2t = 24
18 + 2(3) = 24
18 + 6 = 24
24 = 24

Hope this helps!!
, CookyKpopStan

Answer:

a) 2

Step-by-step explanation:

got it right on edge 2021 || pls mark brainliest

可二人十
Help solve this problem

Answers

Hi! This is my first time helping someone so I hope this helps!

X=1
Y=5

First in the first equation, subtract x on both sides.

Y= 6-x

Then substitute that into the second equation.

-3x + 6-x = 2

-4x + 6= 2

-4x = -4

x= 1

Substitute it to the first equation

Y= 6-1

Y= 5

X= 1

Hope this helps. I hope you have a great day!

Give the five number summary. A student servey asked, how tall are you ( in inches)?" here's the data: 64, 72, 73, 60, 65, 86, 72, 69, 74​

Answers

Answer:

Step-by-step explanation:

The five number summary will be the mean, median, interquartile range, minimum value and the maximum value.

Mean is the average of the data. It is the sum total of the numbers divided by the total number.

Mean = 64+72+73+60+65+86+72+69+74/9

Mean = 635/9

Mean = 70.6inches

Median is the middle value after rearrangement. Re-arrangement can be either in ascending or descending order of magnitude​.

On re-aaranging

60, 64, 65, 69), 72, (72, 73, 74, 86

It can be seen that the number at the middle is 72, hence the median data is 72inches

Maximum value is the highest number in the data given. The highest number is 86 according to the data.

Minimum value is the lowest number in the data given. The lowest number is 60 according to the data.

Interquartile range is the difference between the upper quartile sand the lower quartile. Quartiles divides the data into four equal parts

IQR = Q3-Q1

Q3 is the upper quartile

Q1 is the lower quartile

Q1 is the median of the upper part of the dataset i.e 86, 72, 69, 74​

Q1 = 72+69/2

Q1 = 70.5

Q1 is the median of the lower part of the dataset i.e 64, 72, 73, 60

Q3 = 72+73/2

Q3 = 72.5

IQR = 72.5-70.5

IQR = 2.0

Hence the five numbers are 70.6, 72, 86, 60 and 2.0

Is(0,-2) a solution of x+y=6

Answers

Answer:

no

Step-by-step explanation:

x+y=6

Substitute the point into the equation and see if it is true

0 + -2 = 6

-2 =6

This is not true so the point is not a solution

Answer: No

Step-by-step explanation:

To see if (0.-2) is a solution of x+y=6, we can plug it in and solve.

0+(-2)=6            [add]

-2≠6

Since -2 does not equal 6, we know that (0,-2) is not a solution.

At a carnival 7 out of 10 pepole order hotdogs if there is 90 pepole at the carnival how many of them did not order a hotdog

Answers

Answer:

20 people did not order hotdogs

Step-by-step explanation:

if there is 90 people and 7 must represent 70 / 90

Deon bought a desktop computer and a laptop computer. Before finance charges, the laptop cost $250 less than the desktop. He paid for the computers using
two different financing plans. For the desktop the interest rate was 9% per year, and for the laptop it was 6% per year. The total finance charges for one year
were $300. How much did each computer cost before finance charges?

Answers

Answer:

300

Step-by-step explanation:

Let x = cost of desktop computer; then x - 250 = cost of laptop computer

converting % to decimals, 9% = 0.09 and 6% = 0.06

Then, 0.09x + (x - 250)0.06 = $300

0.09x + 0.06x - 15 = $300

0.15x = $315

x = $2100

then x - 250 = $1850

Proof: $2100•0.09 + 1850•0.06 = $189 + $111 = $300

Tricia starts school at 7am and has lunch at 12pm. She wants to make sure she has something to eat in between. Determine what time she should eat her snack if she is to eat at exactly a time between starting school and eating lunch.

Answers

The time in the exactly in the middle would be 9:30AM

I say she eats around 10:30 or whenever she feels like it, but go with my first answer.....

solve it............
​

Answers

Answer:

7

Step-by-step explanation:

1) for '8'; '3'; and '10':

8/2+3+3=10

2) for '2'; '5' and '11':

2/1+5+5=11

3) for '6'; '2' and '?':

6/2+2+2=7

9. Which of the following is NOT written in scientific notation? O 32.78103 O 1.272103 4.7x103 3.75x10​

Answers

Answer:

32.78103

Step-by-step explanation:

as far as I know it would be 3.278103 times whatever

Answer:

the answer is 32.78103

Step-by-step explanation:

Scientific notation is when the number is more than 1 but less than 10 and the 32 is more than 10.

Abigail drove 84 miles in 4 hours. If she continued at the same rate, how far would she travel in 14 hours?

Answers

Answer:

210 miles

Step-by-step explanation:

84 divided by 4 equals 21

21 times 10 equals 210

Answer:

205 miles

Step-by-step explanation:

If the 14 hours is including the hours Abigail has already driven, then she would travel 121 miles for the six hours, for a combined total of 205 miles.

1
This angle pair makes a straight line, so they are supplementary
130
50
A True
B False

Answers

a-true because you would add 130 and 50 = 180 which is the measure of a supplementary angle

Answer:

True

Step-by-step explanation:

Supplementary angles always equal to 180 degrees, and the sum of 130 and 50=180 degrees.

William read 15 books in 6 months. What was his rate of reading in months per book? {pls i need help}

Answers

Answer:

His rate would be 2.5 books per month

HELP ME PLEASE!!!!!!!!!!4(a+2)=8+4a

Answers

All real numbers are correct! Hope that helps.

Answer:

a can be anything. There are infinite solutions.

Step-by-step explanation:

[tex]4(a+2)=8+4a[/tex]

Expand:

[tex]4a+4\times\:2=8+4a[/tex]

[tex]4a+8=8+4a[/tex]

Subtract 8 from both sides:

[tex]4a+8-8=8+4a-8[/tex]

[tex]4a=4a[/tex]

Subtract 4a from both sides:

[tex]4a-4a=4a-4a[/tex]

[tex]0=0[/tex]

Since both sides are equal, a has infinite solutions as no matter what value it is, it will not affect the end result of [tex]0=0[/tex] which is true.

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