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

Please help with part A!!

Answers

Answer:

Option A. A and D

Step-by-step explanation:

This answer because they are both right triangles and are near the same size

Hope this helps!

How is. X^2=36 rational?

Answers

Answer:

[tex] {x}^{2} = 36 \\ x = \sqrt{36 } \\ x = 6 \\ it \: is \: rational \: number \: because \: we \: can \: write \: 6as \: 6 \1 \: it \: is \: in \: the \: form \: of \: p \q \: where \: \: q \: i \: not \: equals \: to \: 0[/tex]

hope this will help you.

Rewrite 8 3/4 as an improper fraction.

A. 35/4

B. 28/3

C.35/8

D.32/4

Answers

Answer:

35/4

Step-by-step explanation:

multiply 8 by 4, add the 3

Answer:

the answer is C

Step-by-step explanation:

7. Which of the following is an example of perpendicular lines?
OA
X1
B.
C.
D.

Answers

Answer:

D

Step-by-step explanation:

Perpendicular lines intersect at a 90 degree angle.

How many pounds are equal to 3 tons?​

Answers

Answer:

6000 pounds Hope this helps :)

Step-by-step explanation:

Multiply by mass value 2000

Answer:

6000

Step-by-step explanation:

How many x-intercepts can an absolute value graph have?

Answers

Answer:

Zero, One, Two

Step-by-step explanation:

It can never touch the x-axis

when it's like

[tex]y=a|x-b|+c[/tex]

with

[tex]c>0[/tex]

it will be upward

it can touch only once when it's like

[tex]y=a|x-b|[/tex]

it will touch it in  [tex](b,0)[/tex]

It can touch twice when it's like

[tex]y=a|x-b|-c[/tex]

with

[tex]c>0[/tex]

the equations are just an example, there can be other ways too

have three or more it's impossible, because the absolute value graph is the union of two lines, and each line at most can touch the x-axis once

I need help with 1-3 i don’t understand that problems and its already over due

Answers

Step-by-step explanation:

For a quadratic equation y = ax² + bx + c, the vertex (the maximum or minimum point) is at x = -b/(2a).

1) y = -0.5t² + 2t + 38

The maximum is at:

t = -2 / (2 × -0.5)

t = 2

The maximum height is:

y = -0.5(2)² + 2(2) + 38

y = 40

The coordinates of the vertex are (2, 40).  That means the missile reaches a maximum height of 40 km after 2 minutes.

2) y = -4.9t² + 12t + 1.6

The maximum is at:

t = -12 / (2 × -4.9)

t = 1.22

The maximum height is:

y = -4.9(1.22)² + 12(1.22) + 1.6

y = 8.95

The coordinates of the vertex are (1.22, 8.95).  That means the missile reaches a maximum height of 8.95 m after 1.22 seconds.

3) y = -0.04x² + 0.88x

The maximum is at:

x = -0.88 / (2 × -0.04)

x = 11

The maximum height is:

y = -0.04(11)² + 0.88(11)

y = 4.84

The maximum height of the tunnel is 4.84 meters.

The maximum width is when y = 0.

0 = -0.04x² + 0.88x

0 = -0.04x (x − 22)

x = 22

The maximum width is 22 feet.

What is the Domain of the given graph?
(0,2)


(-3,0)

Answers

Answer:

dssds 8900

Step-by-step explanation:

dwdwdmunayaynd

The domains are 0 and -3 and the range is 2, and 0

27 is nine more than six times
Hugo's age. What is Hugo's
age?

Answers

Hugo is three years old

Answer:

3

Step-by-step explanation:

First, subtract 9 from 27:

27 - 9 = 18

Next, divide 6 from 18:

18/6 = 3

3 is Hugo's age.

~

Suppose that a visitor to Disneyland has a 0.74 probability of riding the Jungle Cruise, 0.62 probability of riding the Monorail, 0.70 of riding the Matterhorn, 0.52 of going on both the Jungle Cruise and Monorail, 0.46 of going on the Jungle Cruise and Matterhorn, 0.44 of going on the Monorail and the Matterhorn, and 0.34 of going on all three rides. What is the probability that a person visiting Disneyland will go on at least one of these three rides

Answers

Answer: 0.98

Step-by-step explanation:

Let J denotes Jungle Cruise , M denotes Monorail and H denotes Matterhorn.

As per given ,

P(J) = 0.74,  P(M) =  0.62, P(H) = 0.70

P(J∩M) = 0.52,  P(J∩H)= 0.46 , P(M∩H)=0.44

P(J∩M∩H)=0.34

Now , the required probability:

P(J∪M∪H) = P(J) + P(M)  + P(H) - P(J∩M) - P(J∩H) - P(M∩H)+ P(J∩M∩H)

= 0.74+0.62+0.70-0.52-0.46-0.44+0.34

= 0.98

Hence, the probability that a person visiting Disneyland will go on at least one of these three rides= 0.98 .

in order to be invited to tutoring or extension activities a student's performance must be at least 20 points higher or lower than an average score is 105 which inequality represents P the scores for students who are eligible for tutoring or extension activities ​

Answers

Answer:

i think its p ≤ 85 or p ≥ 125

Step-by-step explanation:

p can be 85 and higher but can be passed 125 but it can be 125 which makes the equality signs have the line under them meaning less than or equal to, and could also mean greater than or equal to.

The  inequality that represents P the scores for students who are eligible for tutoring or extension activities ​is p ≤ 85 or p ≥ 125.

What is an Average?

Average is the mean of the data set obtained by summing all the values of the data set and then dividing it by the number of data in the set.

The average score is 105

The score required for tutoring is at least 20 points higher than average

The score required for extension activities is at least 20 points lower than average

P is the scores for students who are eligible for tutoring or extension activities ​

Then p ≤ 105 -20 = p ≤ 85

p ≥ 105+20 = p ≥125

p ≤ 85 or p ≥ 125

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plz click this help me and i am really desspprte and i do not want get in trouble plz my teacher is very strict.

Answers

someone said this was wrong and I realized that I was just confused so i fixed it

it's 3:1

Answer:

b

Step-by-step explanation:

1. In how many ways can a committee of eight people to be formed from a group of 6 male, 5 female and 4 students if there are no restrictions, as all members are eligible?

Answers

Answer:

The number of ways is 6435

Step-by-step explanation:

Given

[tex]Male = 6[/tex]

[tex]Female = 5[/tex]

[tex]Students = 4[/tex]

Required

Number of ways a group of 8 can be formed

Here, I'll assume each category of people are distinct:

Hence;

[tex]Total = Male + Female + Students[/tex]

[tex]Total = 6 + 5 + 4[/tex]

[tex]Total = 15[/tex]

Number of ways is then calculated as follows:

[tex]^nC_r = \frac{n!}{(n - r)!r!}[/tex]

Where

[tex]n = 15\ and\ r = 8[/tex]

So, we have:

[tex]^{15}C_8 = \frac{15!}{(15 - 8)!8!}[/tex]

[tex]^{15}C_8 = \frac{15!}{7! * 8!}[/tex]

[tex]^{15}C_8 = \frac{15 * 14 * 13 * 12 * 11 * 10 * 9 * 8!}{7!8!}[/tex]

[tex]^{15}C_8 = \frac{15 * 14 * 13 * 12 * 11 * 10 * 9}{7!}[/tex]

[tex]^{15}C_8 = \frac{15 * 14 * 13 * 12 * 11 * 10 * 9}{7 * 6 *5 * 4 * 3 * 2 * 1}[/tex]

[tex]^{15}C_8 = \frac{32432400}{5040}[/tex]

[tex]^{15}C_8 = 6435[/tex]

Hence, the number of ways is 6435

the absolute value of a number is the distance from 0 to the number on a number line. use absolute value notation to indicate two number that are 3 units away from 0​

Answers

Answer: It is 3 and negative -3

Step-by-step explanation:3 units away from zero forwards and back are both 3 but one is negative

Answer: 3 and negative -3

hope this helps

CDs cost $5.96 more than DVDs at all bets are off electronics. How much would 6 CDs and 2 DVDs cost if 5 CDs and two DVDs cost $127.73

Answers

Cd= x =5,96
Dvd=y

5x+2y=127,73
2y = 127,73 - 5 (5.96)
2y = 127,73 - 29.8
2y = 97.93
y = 97.93/2 = 48.965

x=5,96
y=48.965

6x+2y = 6(5,96) + 2(48.965) = 35.76 + 97.93 = 103.89

Final answer: 103.89

*i made it the much detailed possible as i don't know what your teacher asks of you so alot of it is unnecessary

A point represents what in geometry

Answers

it represents location

Help me plz It’s Algebra 1

Answers

Answer: Constant

Step-by-step explanation: It is a straight horizontal line with no dips or curves, so it is constant.

Hope this helps!

Please mark Brainliest!

Answer:

Constant

Step-by-step explanation:

It must be constant because the line is neither increasing or decreasing

A builder is building 5 new homes. Each home has a foyer measuring 9 feet by 18 feet. Laminate flooring for each foyer costs $26.91 per square yard. What is the cost of the laminate floors for the foyers in all 5 homes?

Answers

Answer: $2421.90

Step-by-step explanation:

Since a yard is 3 feet, we can say the foyer is 3 yards by 6 yards (9 feet is 3 yards and 18 feet is 6). The area of a square is x*y, so the area of each floor is 3*6 = 18 square yards. Since there are 5 homes, there are 5 * 18 = 90 total square yards to laminate. That means that the total cost is 90 * 26.91 = $2421.90.

The total cost for the foyer for the 5 homes is $ 2421.9.            

Given that,

A builder is building 5 new homes. Each home has a foyer measuring 9 feet by 18 feet. Laminate flooring for each foyer costs $26.91 per square yard. What is the cost of the laminate floors for the foyers in all 5 homes is to be determined.


What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements.

Here,
1 yard = 3 feet
Now
The measure of foyer = 9 feet x 18 feet = 9 /3 yard x 18 / 3 yard.
Area of the foyer = 3 x 6
                            = 18-yard square
Area of the  foyer of 5 homes = 5 * 18
                                                  = 90-yard square,

The total cost of a foyer for 5 homes = 90 * 26.91
                                                    = $2,421.9


Thus, the total cost for the foyer for the 5 homes is $ 2421.9.

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Given y=2x+8, determine the value of y when x=3

Answers

Answer:

y = 14

Step-by-step explanation:

Given x plug in 3 for x

y = (2times3) + 8

y = 6 + 8

to cheak ur awsner plug in y as 18 and solve for x

Answer:

x=3 so y=2*3+8

=6+8

=14

A rectangular table is two times as long as it is wide. If the area is 50 ft2, find the length and the width of the table.

Answers

Answer:

length = 10ft

breadth = 5ft

Step-by-step explanation:

Given,

Let breadth be x.

According to the question,

length = 2x

Area = 50ft^2

we know that,

Area of rectangle ( A) = l × b

or, x × 2x = 50 ft^2

or, 2x^2 = 50ft^2

or, x^2 = 50ft^2/2

or, x^2 = 25ft^2

or, x = 5 ft

Now,

2x = 2×5ft =10ft

Therefore, length is 10ft and breadth is 5ft.

4. At lunch, Samantha bought a sandwich for
$2.75, milk for $0.75 and 2 cookies for $0.50
each. If tax is 8%, how much tax did Samantha
just pay for lunch? (CP)
Work:

Answers

Answer: 4.86

Step-by-step explanation: 2.75+.75 = 3.5  1 for the cookies 4.5*0.08 = 0.36

4.5+.36 = 4.86.

Solve 6 sec^2x-1= 7.

Answers

x=4

2x-1=7
Move the constant to the right - 2x=7+1
Calculate - 2x=8
Divide both sides - x=4

4/5 2/3 13/15 7/9. Order fractions least to greatest

Answers

13/15 7/9 4/5 2/3 in that order.

Answer:

2/3 7/9 4/5 13/15

Step-by-step explanation:

15 multiplied by what makes 80

Answers

Answer:

5.33

Step-by-step explanation:

It is a repetitive decimal.

How do you solve this?

Answers

Answer:

Well one do the square root of 16

Answer:

1 and 9

Step-by-step explanation:

[tex]5-\sqrt{16}[/tex]

[tex]5+\sqrt{16\\[/tex]

The width of the rectangle is 0.6 meters less than the length. The perimeter of a rectangle is 60.8 meters. Find the dimensions of the rectangle.

Answers

Answer:

14+=+2L+%2B+2%28L-3%29 Simplify and solve for L

14+=+2L+%2B+2L+-+6 Combine like-terms.

14+=+4L-6 Add 6 to both sides.

20+=+4L Divide both sides by 4.

5+=+L The length is 5 meters.

W+=+L-3

W+=+5-3

W+=+2meters.

The width is 2 meters.

P+=+2L%2B2W

P+=+2%285%29%2B2%282%29

P+=+10%2B4

P+=+14meters.

Step-by-step explanation:

Which line is perpendicular to a line that has a slope of Negative one-third? line MN line AB line EF line JK

Answers

Answer:

The answer is line EF, C is the correct answer!

Step-by-step explanation:

Just took the assignment. Maybe this will help you with your other problems with slopes and angles. If you have any more questions for me, I'll answer them! :D

The perpendicular line is line EF.

What is slope?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane. Calculating the slope of a line is similar to finding the slope between two different points. In general, to find the slope of a line, we need to have the values of any two different coordinates on the line.

Slope = m = tan θ

m = (y2 - y1)/(x2 - x1)

Given:

slope = -1/3

then, the perpendicular line will have the slope = 3

Now, from the figure the line line represent the slope 3 is line EF

As, (0, -3) and (2, 3)

slope = 3+3 / 2-0

slope= 6/2

slope= 3

Hence, the perpendicular line is line EF.

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how do you convert a fraction to decimal

Answers

to convert a fraction to a decimal, divide the numerator by the denominator (divide the top by the bottom)
divide the numerator by the denominator. ex) 1/2 divide 1 by 2 to get an answer of .5

The amounts of vitamin C (in milligrams) for 100g (3.57 ounces) of various randomly selected fruits and vegetables are listed. Is there sufficient evidence to conclude that the standard deviation differs from 12 mg? Use alpha = 0.10. Use a graphing calculator

Answers

Answer:

The values are missing in the question. They are : 16.3,12.8,13,32.2,28.1,34.4,46.4,53,15.4,18.2

Step-by-step explanation:

16.3,12.8,13,32.2,28.1,34.4,46.4,53,15.4,18.2

We calculate sample mean and std deviation from given data.

Sample Mean, [tex]$ {\overset{-}X} =\frac{\Sigma (X)}{n} $[/tex]   =269.8/10=26.98

Sample Variance, [tex]$s^2= \frac{\Sigma(X-{\overset{-}X})^2}{(n-1)}$[/tex]    =1859.496/9=206.610667

Sample std dev,s=[tex]$\sqrt{s^2}$[/tex]=√206.610667≈14.373958

We want to test two tailed hypothesis:

[tex]$H_0$[/tex] : σ=12

[tex]$H_2$[/tex] : σ≠12

Given: s=14.373958⇒ [tex]$s^2$[/tex] =206.610667,n=10

Significance level, a=0.1 Degrees of freedom, df=n-1=9

Since this is two tailed test, we need area of α=0.1 on either side of critical value. This means area of 0.05 on right of positive critical value.

Critical values are given by [tex]$ X_{1-\alpha/2}^2 =X_{0.95}^2 \text{ and}\ X_{1-\alpha/2}^2 =X_{0.95}^2 $[/tex]  with 9 degrees of freedom.

We can use chi-square table or following excel commands:

CHISQ. INV(0.95,9)=3.32511284307

CHISQ. INV (0.05,9)=16.9189776046

Critical Values, [tex]$X_L^2$[/tex]=3.325  and [tex]$X_R^2$[/tex]=16.919

Since this is two tailed test, the decision rule or rejection criteria is:

Reject null hypothesis if test statistic is less than or equal to left critical value OR more than or equal to right critical value, i.e,

Reject [tex]$H_0$[/tex]   if [tex]$x^2$[/tex]≤3.325  OR [tex]$x^2$[/tex]≥16.919

Test statistic is given by [tex]$X^2=\frac{(n-1)s^2}{\sigma^2}$[/tex] =((9)*206.610667)/144=12.913167    

Test statistic, [tex]$x^2$[/tex]=12.913

since test statistic is between two critical values, we (do not reject [tex]$H_0$[/tex]) (i.e, we fail to reject [tex]$H_0$[/tex].

Conclusion: There is (not sufficient) evidence to conclude that standard deviation is not equal to 12 .

Alternatively, we can use p-value approach. The decision rule or rejection criteria is: reject null hypothesis if p-value is less than or equal to significance level (α), i.e, reject [tex]$H_0$[/tex] if p-value ≤0.1

P-value is twice the (smaller) tail area of test statistic because this is two tailed test. We can use excel function to find this. 2*M IN (CHISQ.DIST (12.913167,9,  TRUE ) 1-CHISQ.DIST 12.913167,9,  TRUE ) =0.333149809868

P-value =0.3331

since p-value is greater than significance level (α),we (do not reject [tex]$H_0$[/tex]) (i.e, we fail to reject [tex]$H_0$[/tex]).

Conclusion: There is (not sufficient) evidence to conclude that standard deviation is different from 12 .

 

Can someone help me with this question please?

Answers

Here you go, hope this helps. If you need help with anything else feel free to reply to this comment
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