Polygon ABCD is a rectangle. What is its area? Round your answer to the nearest tenth.
(2,5)
(-4,3)
(3, 2)
(-3,0)

Polygon ABCD Is A Rectangle. What Is Its Area? Round Your Answer To The Nearest Tenth.(2,5)(-4,3)(3,

Answers

Answer 1

Answer: The correct option is A.

Step-by-step explanation:

To calculate the distance between the points, we use the formula:

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

where,

d= distance

[tex]x_2\text{ and }x_1[/tex] are the coordinates of the points on x-axis

[tex]y_2\text{ and }y_1[/tex] are the coordinates of the points on y-axis

For the given points:

A(-4,3), B(2,5), C(3,2) and D(-3,0)

Calculating the distance CD:

[tex]x_2=3\\x_1=-3\\y_2=2\\y_1=0[/tex]

Putting values in above equation, we get:

[tex]CD=\sqrt{(3-(-3))^2+(2-0)^2}\\\\d=\sqrt{36+4}=6.32units[/tex]

Calculating the distance AD:

[tex]x_2=-4\\x_1=-3\\y_2=3\\y_1=0[/tex]

Putting values in above equation, we get:

[tex]AD=\sqrt{(-4-(-3))^2+(-3-0)^2}\\\\d=\sqrt{1+9}=3.16units[/tex]

To calculate the area of a reactangle, we use the equation:

[tex]Area=l\times b[/tex]         ....(1)

where,

l = length of the rectangle = CD = 6.32 units

b = breadth of the rectangle = AD = 3.16 units

Putting values in equation 1, we get:

[tex]Area=6.32\times 3.16\\\\Area=20.0 \text{ square units}[/tex]

Hence, the correct option is A.

Answer 2

Answer:

The answer is A.

Step-by-step explanation:

I got it correct.


Related Questions

Can someone help me with this question please.

Answers

Answer:

40

Step-by-step explanation:

As the lawn size increases by 4 the weight increases by 8

i need help pls it’s timedd!!!!

Answers

Answer:

5.

Step-by-step explanation:

If you were to rotate the triangle, you can apply Pythagoras Theorem.

Therefore,

a^2 = 12^2 - 13^2 (Note: a^2 = a squared)

a^2 = 144 - 169

a^2 = -25.

a     = 5.

Not sure why its negative though im pretty sure its the right answer.

in BCD triangle :

DC^2 = BC^2 + BD^2

13^2 = 12^2 + BD^2

169 = 144 + BD^2

BD^2 = 169 - 144

BD^2 = 25

BD = 5

_______________________

In the other hand we have :

BD^2 = AB × BC

5^2 = AB × 12

AB = 25/12

________________________

Also we have :

AD^2 = AB × AC

AD^2 = 25/12 × ( 25/12 + 12 )

AD^2 = 25/12 × ( 25/12 + 144/12 )

AD^2 = 25/12 × 169/12

AD^2 = 25 × 169 / 12 × 12

AD^2 = 5 × 5 × 13 × 13 / 12 × 12

AD = 5 × 13 / 12

AD = 65 / 12

AD = 5.42

Thus the correct answer is option C

What does X equal ????

Answers

Rearrange the formula to get cos(A) = (b^2 + c^2 - a^2) / (2bc)
cos(X) = (20^2 + 18^2 - 22^2) / (2 x 20 x 18) = 0.33333...
X = cos^-1(0.3333...) = 70.5 degrees (1 dp)

giải phương trình vi phân: y" - 5y' + 6y = 6x + 7

Answers

Неоднородное ДУ второго порядка. Детали в аттаче.

8+(10-7) writen in words​

Answers

Answer: 11

Step-by-step explanation:

8 + (10 - 7)

first you would solve the parenthesis, to support the order of operations.

8 + ( 3)

ten minus seven is three, so we replace the "10-7" in the parenthesis with "3"

next you add the eight and the three together

8 + 3 = 11

the total is eleven :)

Hey there!

Do PEMDAS to solve

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

8 + (10 - 7)

10 - 7 = 3

8 + 3

= 11

Or

8 + (10 - 7 )

8 + 10 - 7

8 + 10 = 18

18 - 7

= 11

Answer: 11

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

I need help in this task pls, says locate the following decimal numbers on the line...the one who helps me I give him points, about 70 points

Answers

Answer:

Listen to the explanation

Step-by-step explanation:

Each dash on the line represents .10 so for the first one where it says .28 it should be about-

|-----|-----|---●-|-----|-----|-----|-----|-----|-----|-----|

0. .10. .20 .30 40 .50. .60 .70 .80 .90 1.0

Do you get what I mean? Haha

Answer:

Assuming that the line goes from zero to one.

I need help please I dont understand

Answers

It’s like this. Mark as brainliest!! Much appreciated

What is the volume of a sphere with a radius of 20 m? 10,666.67π m3 6,000π m3 85,333.33π m3 533.33π m3

Answers

Answer:10,666,66 [tex]\pi[/tex]m^3

Step-by-step explanation:

V=[tex]\frac{4}{3} \pi r^{3}[/tex]

[tex]\frac{4}{3} \pi 20^{3} \\ V=10,666.66 \pi[/tex]

If the length of a rectangle is four times its width and the perimeter of the rectangle is 90 yd, whats its area?

Answers

Answer:

324 yds ^2

Step-by-step explanation:

If length=l and width=w, you could write an equation to find the length and width. Then use that to find the area. L=4w. There are two of each side in the rectangle. 4w+4w+w+w=10w. 10w=90. w=9. 4w=36. L=36. 36*9=324yds^2

Which statement best describes the area of Triangle ABC shown below? A triangle ABC is shown on a grid. The vertex A is on ordered pair 4 and 4, vertex B is on ordered pair 7 and 2, and the vertex C is on ordered pair 1 and 2. (5 points) It is one-half the area of a square of side length 6 units. It is twice the area of a square of side length 6 units. It is one-half the area of a rectangle with sides 6 units × 2 units. It is twice the area of a rectangle with sides 6 units × width 2 units.

Answers

Answer:

It is one-half the area of a rectangle with sides 6 units × 2 units.

Step-by-step explanation:

Area of the triangke ABC = 6

9,16,25,36 arithmetic or geometric?
24,18,12,arithmetic or geometric?
500,100,20 ,4 arithmetic or geometric?

Answers

Answer:

9,16,25,36 neither, 24,18,12 arithmetic, 500,100,20 ,4 geometric

Step-by-step explanation:

1. has no common number

2. goes down by 6 each time

3. is divided by 5 each time

what are functions in math

Answers

A function is an equation for which any x that can be plugged into the equation will yield exactly one y out of the equation.

A Little League baseball coach wants to know if his team is representative of other teams in scoring runs. Nationally, the average number of runs scored by a Little League team in a game is 5.7. He chooses five games at random and finds the mean number of runs scored is 7.4 with a sample standard deviation of 2.88.

Required:
Is it likely that his team's scores is different than the national average?

Answers

Answer:

That result implies that t(s) is in the acceptance region for H₀ then we accept H₀, there is not statistics difference between the LL team and the national average

Step-by-step explanation:

The National average number of runs scored by a LL team is

μ   =  5.7

Sample Information:

size sample   n = 5

sample average   x  =  7.4

sample standard deviation    s  =  2.88

Is required to investigate if  that sample average is statistically different from the National average

We will do a test with 95 % of confidence Interval that means

significance level α = 5 %   or α = 0.05.

The sample size is 5 then even when we assume normal distribution the sample size indicates that we need to use t-student distribution. Furthermore, as the question is if the sample average is different from the national the test will be a two-tail test.

Then  α = 0.05    α/2  =  0.025

df  =  n  -  1     df  =  5  -  1     df  =  4

Then from t-student table we get  t(c)  =  2.132

Hypothesis test:

Null Hypothesis                                  H₀              x  =  μ

Alternative Hypothesis                      Hₐ              x  ≠  μ

To calculate t (s)

t(s)  = ( x  -   μ ) / s/√n

t(s)  = ( 7.4  -  5.7  )* 2.24 / 2.88

t(s)  =  1.7* 2.24 / 2.88

t(s)  = 1.32

Comparing  t(s)  and  t(c)

1.32 < 2.132

That result implies that t(s) is in the acceptance region for H₀ then we accept H₀, there is not statistics difference between the LL team and the national average

Find the length of side x

Answers

no no no no no no no no no no

Answer:

Step-by-step explanation:

tan(30) = x/1

sqrt(3) / 3 = x/1

x= sqrt(3) / 2

PLEASE HELP
If the absolute value represents the distance from zero, can we have a negative distance?

Answers

Answer:

No, you cannot have a negative distance.

Step-by-step explanation:

No, you cannot have a negative distance.

Let's say you were asked for the absolute value of -4. How many units is -4 away from 0? The answer would be 4. There is no negative distance from 0.

Hope this helps, please mark brainliest! :)

PLS HELP! WILL GIVE BRAINLIEST IF CORRECT!

What is the value of P for the following triangular prism?



36 cm

48.5 cm

48 cm

36.5 cm

Answers

Answer:

36 cm

Step-by-step explanation:

if p is perimeter then 10+13+13=36 is the correct answer

At a price of per ticket, a musical theater group can fill every seat in the theater, which has a capacity of . For every additional dollar charged, the number of people buying tickets decreases by . What ticket price maximizes revenue? Revenue is maximized when the price is

Answers

Answer:

The appropriate answer is "$12".

Step-by-step explanation:

As per the question,

Price per ticket,

= [tex]4+k[/tex]

Number of people,

= [tex]1800-90k[/tex]

Now,

The revenue (R) will be:

= [tex]Price \ per \ ticket\times Number \ of \ people[/tex]

By putting the values, we get

= [tex](4+k) (1800-9k)[/tex]

= [tex]-90k^2+1440k+7200[/tex]

or,

⇒ [tex]R'=1440-180k=0[/tex]

⇒                     [tex]180k=1440[/tex]

⇒                          [tex]k=\frac{1440}{180}[/tex]

                               [tex]=8[/tex]

hence,

The ticket price will be:

= [tex]4+k[/tex]

= [tex]4+8[/tex]

= [tex]12[/tex] ($)

Inscribe a circle in a unit square and to r= 1000 random.

a. Suppose that 760 of those darts land in the circle.
b. What would our estimate be if we let n â oo and we applied the same ratio strategy?

Answers

Step-by-step explanation:

area of square = 1

area of a circle in square = [tex]\pi r^2 = \pi *(1/2)^2 = \frac{\pi }{4}[/tex]

bu estimate  [tex]p^ = X/n = 760/1000 = 0.76

Therefore,

[tex]\frac{\pi }{4} \approx 0.76[/tex]

[tex]\pi \approx 0.76*4 =3.04[/tex]

b) if n tend to infinity

[tex]\pi will approach 3.14[/tex]

Answer:

uvfhmfa

Step-by-step explanation:

Find x. Round to the nearest tenth: 29° 500ft
X=[?]ft

Answers

9514 1404 393

Answer:

  437.3 ft

Step-by-step explanation:

The relevant trig relation is ...

  Cos = Adjacent/Hypotenuse

  cos(29°) = x/(500 ft)

  x = (500 ft)cos(29°)

  x ≈ 437.3 ft

Julie borrowed 3500 for 3years at a seven and a half simple interest rate how much interest rate is that​

Answers

Answer:

787.50

Step-by-step explanation:

interest=3500*7.5*3/100

interest=35*7.5*3

interest=787.50

I don’t get this at all

Answers

Answer:

0.21

Step-by-step explanation:

There's 21 kids with a cell phone and no tablet

so 21/100 = 0.21

A graph is shown below:

A graph is shown. The values on the x axis are 0, 4, 8, 12, 16, and 20. The values on the y axis are 0, 16, 32, 48, 64, and 80. Points are shown on ordered pairs 0, 64 and 4, 48 and 8, 32 and 12, 16 and 16, 0. These points are connected by a line.

What is the equation of the line in slope-intercept form?

Answers

Answer:

b

Step-by-step explanation:

The equation of the line in slope-intercept form is y= 4x+0

What is slope intercept?

The equation of a straight line in the form y = mx + b where m is the slope of the line and b is its y-intercept.

slope m,

= y2-y1/x2-x1

= 16-0/4-0

=16/4

=4

m=4

So, the equation will be , y= 4x+0

Learn more about slope- intercept here:

https://brainly.com/question/12763756

#SPJ2

the value of 456×6+35×2 is ​

Answers

Answer:

2806

Step-by-step explanation:

→ First complete the multiplication

456 × 6 = 2736 and 35 × 2 = 70

→ Add the totals

2736 + 70 = 2806

Answer:2806

Step-by-step explanation:

^﹏^

3x-4=8 what is the value of X

Answers

Answer:

x = 4

Step-by-step explanation:

Given

3x - 4 = 8 ( add 4 to both sides )

3x = 12 ( divide both sides by 3 )

x = 4

please help with the steps thx

Answers

Answer:

amount financed: 47800

monthly payment: 454.97

FC: 6796.40

558390.76

198390.76

Step-by-step explanation:

1.)

the amount financed is the cost- amount paid today

61800-14000=47800

effective rate: .027/12=

assuming it's an annuity immediate...

x=payment

[tex]47800=x\frac{1-(1+.00225)^{-(10*12)}}{.00225}\\47800=105.0617517x\\x=454.97[/tex]

going to assume that the last part is asking for the interest

to find the interest do financed amount-total paid

454.97*10*12-47800=6796.4

2.)

Find the effective rate

.056/4=.014

assuming annuity immediate

[tex]6000\frac{(1+.014)^{15*4}-1}{.014}=558390.7595[/tex]

interest earned:

558390.7595-6000*60=198390.76

900 tickets were sold. Adult tickets cost $10, children's cost $4, and a total of $7500 was

collected. How many tickets of each kind were sold?​

Answers

Answer:

650 adult tickets and 250 children's tickets.

Step-by-step explanation:

How to solve and answer

Answers

Answer:

The corrects answers are: C, D, E, F

Step-by-step explanation:

A meeting on an unpopular topic has been announced. The number of attendees may be modeled by X where What is the probability that at least 5 people attend the meeting given that at least 2 attend

Answers

Answer:

The probability that at least 5 people attend the meeting given that at least 2 attend is 12.50%.

Step-by-step explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question as follows:

A meeting on an unpopular topic has been announced. The number of attendees may be modeled by X where:

P(X = x) = 1 / 2^(x+1), for x = 0,1,2,...

What is the probability that at least 5 people attend the meeting given that at least 2 attend?

The explanation of the answer is now provided as follows:

Given:

P(X = x) = 1 / 2^(x+1), for x = 0,1,2,...                    (1)

Since it is given that at least 2 attend, it implies that we need to calculate P(x) at x = 2.

Substituting x = 2 into equation (1), we have:

P(X = 2) = 1 / 2^(2 + 1)

P(X = 2) = 1 / 2^3

P(X = 2) = 1 / 8

P(X = 2) = 0.1250, or 12.50%

Therefore, is the probability that at least 5 people attend the meeting given that at least 2 attend is 12.50%.

Suppose a jar contains 8 red marbles and 25 blue marbles. If you reach in the jar and pull out 2 marbles at random, find the probability that both are red.

Answers

Answer: [tex]\dfrac{7}{132}[/tex]

Step-by-step explanation:

Total marbles in the jar =  8+25 = 33

Using combinations, the number of ways of choosing two marbles out of 33=  [tex]\dfrac{33!}{2!(33-2)!}\\\\=\dfrac{33!}{2\times31!}\\\\=\dfrac{33\times32}{2}=528[/tex]  (total outcomes)

Similarly, the number of ways of choosing two red marbles =

[tex]\dfrac{8!}{2!6!}\\\\=\dfrac{8\times7}{2}=28[/tex](favorable outcomes)

Required probability = [tex]\dfrac{\text{favorable outcomes}}{\text{total outcomes}}[/tex]

[tex]=\dfrac{28}{528}\\\\=\dfrac{7}{132}[/tex]

hence, required probability = [tex]\dfrac{7}{132}[/tex]

HELP!! I don’t know part C or D and I need to know if part A and B are correct

Answers

Answer:

Step-by-step explanation:

A and B are correct!

For part C, just multiply the dimensions given to you by four.

For part D, the answer would be 4 x 4 x 4 which is 264

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