If the area of triangle ABD is 12 square units, what is the area of Rectangle ABCD?

Answers

Answer 1
24 because if you put two triangles together they make a Rectangle

Related Questions

-11p²-4=0
How do I solve this equation using quadratic formula?

Answers

Answer:

±(2√11 * i) / 11

Step-by-step explanation:

Quadratic Formula: x = (-b ± √b^2 - 4ac) / 2a

a = -11

b = 0

c = -4

(0 ± √0 - 176) / 22

± √-176 / 22

±(4√11 * i) / 22

Simplify:

±(2√11 * i) / 11

***i is for imaginary number***

Evaluate
12^-8 over 12^-9=

Answers

Answer:

12

Step-by-step explanation:

We know that a^b / a^c = a^ (b-c)

12 ^ -8  / 12 ^ -9

12 ^ (-8 - -9)

12 ^ (-8+9)

12 ^ 1

12

Answer:

The Answer is 12. (Someone deleted my answer because I didn't show any work.)

Step-by-step explanation:

1. 12^-8/12^-9 -->  12^-8-(-9)

2. 12^-8+9

3. 12^1= 12

4. Therefore the answer is 12.

Question 4
What do you observe about the distances between the three pairs of corresponding vertices for each movement? Based on your observations,
how would you define a translation? How can you extend what you know about the vertices of a shape to all the points on a shape during a
translation?

Answers

Answer:

The distances between the three pairs of corresponding vertices for each movement must be equal. That is, if you translate points A to A', B to B', et cetera, the distance between A and A', and B and B' are the same.

A translation is a rigid transformation that moves vertices of a figure a fixed distance.

In a general way, a translation moves all points on a shape a fixed distance.

Answer:

Each distance between the three pairs of corresponding vertices is the same. Based on this observation, a translation is a transformation in a coordinate plane that moves the vertices of a shape a fixed distance. In fact, a translation moves all points on a shape a fixed distance.

Sample answer for Edmentum and Plato Users

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The Ocean Cleanup project estimates its 001/B system could clean up 733
tons of plastic every month. Write a y = mx equation to show this.

Answers

Answer:

y = 733x

Step-by-step explanation:

y equals the total amount of waste collected, 733 is the number of tons collected every month, and x is the number of months.

If this answer is correct, please make me Brainliest!

hiiii.. please help me with this limit question ​

Answers

Answer:

π

Step-by-step explanation:

Solving without L'Hopital's rule:

lim(x→0) sin(π cos²x) / x²

Use Pythagorean identity:

lim(x→0) sin(π (1 − sin²x)) / x²

lim(x→0) sin(π − π sin²x) / x²

Use angle difference formula:

lim(x→0) [ sin(π) cos(-π sin²x) − cos(π) sin(-π sin²x) ] / x²

lim(x→0) -sin(-π sin²x) / x²

Use angle reflection formula:

lim(x→0) sin(π sin²x) / x²

Now we multiply by π sin²x / π sin²x.

lim(x→0) [ sin(π sin²x) / x² ] (π sin²x / π sin²x)

lim(x→0) [ sin(π sin²x) / π sin²x] (π sin²x / x²)

lim(x→0) [ sin(π sin²x) / π sin²x] lim(x→0) (π sin²x / x²)

π lim(x→0) [ sin(π sin²x) / π sin²x] [lim(x→0) (sin x / x)]²

Use identity lim(u→0) (sin u / u) = 1.

π (1) (1)²

π

Solving with L'Hopital's rule:

If we plug in x = 0, the limit evaluates to 0/0.  So using L'Hopital's rule:

lim(x→0) [ cos(π cos²x) (-2π cos x sin x) ] / 2x

lim(x→0) [ -π cos(π cos²x) sin(2x) ] / 2x

-π/2 lim(x→0) [ cos(π cos²x) sin(2x) ] / x

Again, the limit evaluates to 0/0.  So using L'Hopital's rule one more time:

-π/2 lim(x→0) [ cos(π cos²x) (2 cos(2x)) + (-sin(π cos²x) (-2π cos x sin x)) sin(2x) ] / 1

-π/2 lim(x→0) [ 2 cos(π cos²x) cos(2x) + π sin(π cos²x) sin²(2x) ]

-π/2 (-2)

π

Which graph shows the solution to the system of linear inequalities?
2x - 3y =12
y <-3

Answers

Answer:

x = 3/2

Step-by-step explanation:

Ms. Peterson wrote the expression below on the chalkboard for her class. She asked the students to write an equivalent expression using no more than one set of parentheses.


4(3x+5y+2z)+3(x−z) ​​



• Tom wrote 12x+20y+8z



• Jenna wrote 5(3x+4y+z)



• Chris wrote 15x+20y−5z



Which, if any, of the three students wrote an expression that is equivalent to Ms. Peterson’s expression?



​Answer ​_______ wrote an equivalent expression.

​Show your work to prove which expressions, if any, are equivalent.

Answers

Chris wrote an equivalent expression.

12x+20y+8z+3x-3z
15x+20y-5z

Bernice found that the slope of a trend line is –3 and a point on the trend line is (8, 10). She wanted to find the equation of the trend line. Her work is shown below. 1. y = negative 3 x + b. 2. 8 = negative 3 (10) + b. 3. 8 = negative 30 + b. 4. 8 + 30 = negative 30 + 30 + b. 5. 38 = b. Examine Bernice’s steps.In which step did she make an error? In step 1,she used the wrong equation. In step 2,she switched the x and y coordinate values. In step 3,she needed to add -3 and 10 In step 4,she needed to -30 on both sides

Answers

Answer:b

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

I took the assignment

Which statement belongs in Step 4?

Answers

Answer:

Step-by-step explanation:

TQ = QR

Ray t bisects TR. TR is divided into  two equal parts

please help and look at the picture

Answers

Answer:

12

Step-by-step explanation:

If i could show i would but i did it and it is 12.

So the right answer is -12.

Look at the attached picture

Hope it will helpful to you...

I need to find the equation of the line

Answers

Answer:

y= -3x + 7

That is the answer.

What is the range of possible sizes for side x?

Answers

i think it’s 3.9597... i used a^2 + b^2 = c^2

Examine the system of equations. −5x + 5y = 40 4x + 3y = 24 What is the solution? (, )

Answers

Answer:

0 and 8

Step-by-step explanation:

for some reason i got a warning giving you the answer so here it is, i got the evidence from a calculator.

Answer:

0,8 is correct

Step-by-step explanation:

need help plzz helpp will give brainliest!!!

Answers

Answer:

12%

Step-by-step explanation:

1,020/8,500= ?/100

correct me if i am wrong

Answer:

Hello There the Correct answer is D. 12%

All you really need to do is Divide 1,020 8,500 and you will get 12. So the answer is D.

Refer to the Parallelogram below to complete the following problem if m angle B= 3x- 9 and m angle C= 39°, then what is the value of x?

Answers

Answer:

44

Step-by-step explanation:

Answer:

The answer is 44

Step-by-step explanation:

Hope this HELPED you

Solve x/2 + y/3 = 1 for x .

A. y = -5x + 3

B. y = 5x + 3

C. y = -5x - 3

D. y = 5x - 3

Answers

Answer:

x= −2/3y+2

Step-by-step explanation:

Solve the following system of equations.
2x + 5y = 19
x - 2y = - 4​

Answers

Answer:

Step-by-step explanation:

。☆✼★ ━━━━━━━━━━━━━━  ☾  

2x + 5y = 19

x - 2y = -4

Multiply the second equation by 2

2x - 4y = -8

Now we have:

2x + 5y = 19

2x - 4y = -8

Subtract the second eq from the first to get:

9y = 27

/ 9

y = 3

Now substitute this value into one of the first equations

x - 2(3) = -4

x - 6 = -4

x = 2

Thus, your answer would be option B

Have A Nice Day ❤    

Stay Brainly! ヅ    

- Ally ✧    

。☆✼★ ━━━━━━━━━━━━━━  ☾

Which integer is the following number closest to?*
(33
02
3
O

Answers

Answer:

لافصرقغه3ق3

Step-by-step explanation:

4ل5خ2ىاق

Every day you play a random song from your library, which includes 200 songs. What is the PROBABILITY that both today and tomorrow the first song that plays is one of your top 10 favorite songs?

Answers

Finding Probability

To find probability, you must divide the number of events by the number of possible outcomes.

An event (or favorable outcome) is an outcome that is desired.

An outcome is one of many things that could happen.

Since the events occur two times, they must be doubled.

In this case, there are 400 possible outcomes and 20 number of events.

400 ÷ 20 = 0.05

The probability of you playing one of your top 10 favorite songs for 2 days is 0.05.

Tell whether the graph of the quadratic function
y − 4x2 = 4x + 5 opens upward or downward and whether the function has a maximum or a minimum.
The graph opens (select: downward, upward) and and the function has a
(select: maximum, minimum).

Answers

Answer:  Graph attached.

Step-by-step explanation:

It is easier to figure it out if you can see it.

Also easier if you rewrite the equation in quadratic form:

y = 4x² + 4x + 5

The base of a pentagonal prism is regular with an apothem of 4 cm. The height of the prism is 16 cm. Find the volume of the prism. Round your answer to the nearest cubic cm.

Answers

Answer:

volume ≈ 930 cm³ (nearest cubic cm)

Step-by-step explanation:

The base of the prism which is a pentagon is regular. The apothem which is a line drawn from the center to any side of the pentagon is 4 cm. The height of the prism is 16 cm.

The volume of a prism = Bh

where

B = base area

h = height of the prism

The base of the prism can be divided into 5 congruent triangles.But the base of the triangles is unknown.

The sum of interior angle of a pentagon is 540°. That means each angle is 108° . The triangle divide the angle into 2. Making the 2 base angle as 54° each. The last angle of the triangle at the center is 72°(remember sum of angle in a triangle is 180° which is 54° + 54° + 72° = 180°) .

The angle form the center can be divided by the line of height of the triangles. The angle will then be 36°. Using tangential ratio half of the length of the base of the triangle can be known. Therefore,

tan 36° = opposite/adjacent

tan 36° = opposite/4

opposite = 4 tan 36°

The full base of the triangles = 2(4 tan 36°)

area of each triangle = 1/2 × 2(4 tan 36°) × 4 = 16 tan 36°

Base area of the prism(pentagon) = 5 × 16 tan 36° = 80 tan 36°

Volume of the prism = Bh

where

h = 16 cm

B = 80 tan 36°

volume =  80 tan 36° × 16 = 1280  tan 36° = 1280  × 0.726542528

volume = 929.974435847  cm³

volume ≈ 930 cm³ (nearest cubic cm)

I need help please with finding the gcf of each pair of monomials (10 points )

Answers

Answer:

Step-by-step explanation:

3p^4 and 4p =  p(3p^3 and 4)

14xy^2 and 21y^3 =   7y^2(2x and 3y)

Please answer the question it’s for my math SAT

Answers

Answer: D.

This is tricky.

Think of the equation as an equation for a line

where in this case.      

[tex]C=5/9(f-32)[/tex]

or

[tex]C=5/9f-5/9(32)[/tex]

You can see the slope of the graph is [tex]5/9[/tex]  which means that for an increase of 1 degree Fahrenheit, the increase is [tex]5/9[/tex].

[tex]c=5/9(f)[/tex]

[tex]c=5/9(1)=5/9[/tex]

Therefore, statement I is true. This is the equivalent to saying that an increase of 1 degree Celsius is equal to an increase of [tex]9/5[/tex] Degrees Fahrenheit

[tex]c=5/9(f)[/tex]

[tex]1=5/9(f)[/tex]

[tex]f=9/5[/tex]

Since [tex]9/5=1.8[/tex] Statement 2, is true.

The only answer that has both statement I and statement II as true is D, but if you have time and want to be absolutely thorough, you can also check to see if statement III (an increase of [tex]5/9[/tex] degree Fahrenheit is equal to a temperature increase of 1 degree Celsius) is true:

[tex]c=5/9(f)[/tex]

[tex]c=5/9(5/9)[/tex]

[tex]c=25/81[/tex] which is ≠ 1)

An increase of [tex]5/9[/tex] degree Fahrenheit leads to an increase of [tex]25/81[/tex]

not 1 degree, Celsius, and so Statement III is not true.

The final answer is D.

I hope this helped x

Answer:

D!!!!

Step-by-step explanation:

Calculate the perimeter of the following figure.

Answers

Answer:

29 inches

Step-by-step explanation:

4 + 7 + 4 + 11 = 29 inches

easy question!!

how can i do this! need step by step explanation.

help!! will give the brainliest​

Answers

Answer: 1+log3(10)

Step-by-step explanation:

Answer:

[tex]6[/tex]

Step-by-step explanation:

[tex]\log _3\left(27\right)+\log _2\left(8\right)\\\log _3\left(27\right)=3\\\log _3\left(27\right)\\\mathrm{Rewrite\:}27\mathrm{\:in\:power-base\:form:}\quad 27=3^3\\=\log _3\left(3^3\right)\\\mathrm{Apply\:log\:rule}:\quad \log _a\left(x^b\right)=b\cdot \log _a\left(x\right)\\\log _3\left(3^3\right)=3\log _3\left(3\right)\\=3\log _3\left(3\right)\\\mathrm{Apply\:log\:rule}:\quad \log _a\left(a\right)=1\\\log _3\left(3\right)=1\\=3\cdot \:1\\\mathrm{Multiply\:the\:numbers:}\:3\cdot \:1=3\\=3[/tex]

[tex]\log _2\left(8\right)=3\\\log _2\left(8\right)\\\mathrm{Rewrite\:}8\mathrm{\:in\:power-base\:form:}\quad 8=2^3\\=\log _2\left(2^3\right)\\\mathrm{Apply\:log\:rule}:\quad \log _a\left(x^b\right)=b\cdot \log _a\left(x\right)\\\log _2\left(2^3\right)=3\log _2\left(2\right)\\=3\log _2\left(2\right)\\\mathrm{Apply\:log\:rule}:\quad \log _a\left(a\right)=1\\\log _2\left(2\right)=1\\=3\cdot \:1\\\mathrm{Multiply\:the\:numbers:}\:3\cdot \:1=\\=3\\=3+3\\Simplify\\=6[/tex]

A survey was conducted to determine the average age at which college seniors hope to retire in a simple random sample of 101 seniors, 55 was the
average desired retirement age, with a standard deviation of 3.4 years. A 96% confidence interval for desired retirement age of all college students is:
54.30 to 55.70
54.55 to 55.45
54.58 to 55.42
54 60 to 55.40

Answers

Answer:

96% confidence interval for desired retirement age of all college students is [54.30 , 55.70].

Step-by-step explanation:

We are given that a survey was conducted to determine the average age at which college seniors hope to retire in a simple random sample of 101 seniors, 55 was the  average desired retirement age, with a standard deviation of 3.4 years.

Firstly, the Pivotal quantity for 96% confidence interval for the population mean is given by;

                         P.Q. =  [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex]  ~ [tex]t_n_-_1[/tex]

where, [tex]\bar X[/tex] = sample average desired retirement age = 55 years

            [tex]\sigma[/tex] = sample standard deviation = 3.4 years

            n = sample of seniors = 101

            [tex]\mu[/tex] = true mean retirement age of all college students

Here for constructing 96% confidence interval we have used One-sample t test statistics as we don't know about population standard deviation.

So, 96% confidence interval for the population mean, [tex]\mu[/tex] is ;

P(-2.114 < [tex]t_1_0_0[/tex] < 2.114) = 0.96  {As the critical value of t at 100 degree

                                               of freedom are -2.114 & 2.114 with P = 2%}  

P(-2.114 < [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex] < 2.114) = 0.96

P( [tex]-2.114 \times {\frac{s}{\sqrt{n} } }[/tex] < [tex]{\bar X-\mu}[/tex] < [tex]2.114 \times {\frac{s}{\sqrt{n} } }[/tex] ) = 0.96

P( [tex]\bar X-2.114 \times {\frac{s}{\sqrt{n} } }[/tex] < [tex]\mu[/tex] < [tex]\bar X+2.114 \times {\frac{s}{\sqrt{n} } }[/tex] ) = 0.96

96% confidence interval for [tex]\mu[/tex] = [ [tex]\bar X-2.114 \times {\frac{s}{\sqrt{n} } }[/tex] , [tex]\bar X+2.114 \times {\frac{s}{\sqrt{n} } }[/tex] ]

                                           = [ [tex]55-2.114 \times {\frac{3.4}{\sqrt{101} } }[/tex] , [tex]55+2.114 \times {\frac{3.4}{\sqrt{101} } }[/tex] ]

                                           = [54.30 , 55.70]

Therefore, 96% confidence interval for desired retirement age of all college students is [54.30 , 55.70].

An expression that is equivalent to 12-16x

Answers

Answer: an expression equivalent would be 4(3-4x)

Answer:

4(3-4x)

I hope I helped you! Please mark me brainiest if I am correct. Thanks!

Vaughn is ordering light bulbs for his business. He always orders three extra bulbs. The following shows how the number of light bulbs he orders, y, changes as the number of light bulbs burnt out, x, changes.


Which equation shows this relationship?
A.
y = 3x
B.
y = x + 3
C.
3y = x
D.
y + 3 = x

Answers

Answer: D

Step-by-step explanation:

Because  if y is the number of light bulbs he orders and he always orders three extra or three more that means that for any number of orders that he makes there will be three more. That three will never change since he always others three more than he ordered.

Answer:

y = x + 3

Step-by-step explanation:

Use the substitution method to solve the system of equations. Choose the correct ordered pair. 2x-y=8 y=x-3

Answers

X = 5
explanation in the image below

Answer:(5,2)

Step-by-step explanation:

4^2-2^3=?
a. 1/2
b.2
c. -128

Answers

Answer:

2

Step-by-step explanation:

4^2-2^3

2^2(2) - 2^3

2^4 - 2^3

2^(4/3)

2^1 = 2

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Distance formulaG.Both sets of opposite sides of a trapezoid are parallel. I need help with questions 1-4 What is one way that early humans used resources that were available in the natural environment?They created stone tools.They built wooden homes.They built earthen dams.They made cotton clothes. A car is travelling at 16.7m/s. If the car can slow at a rate of 21.5m/s^2, how much time does the driver need in order to stop the red light? brainly, 200 points I will give you the question to get the other 100 points A gene has the base sequence that starts with gac tga cga tta.what would be the complementary dna strand formed from this DNA? i already know this question It would be ctg act gct aat. please tell me if im wrong What would be the mRNA base sequence formed from this DNA sequence? Use the codon table below to find the first three amino acids in the protein formed from this gene. 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This assembly takes 120 minutes per housing per worker and Aquatica has 6 workers trained to do this task. The CNC machine requires a 30 minute setup time before the production of a batch can begin. Housing type Demand rate (housings per hour) D7000 0.4 5DS Mark IlI 0.5 AN-5n 0.6 D300 0.7 T2i 0.8 a. If the CNC machine produces 12 housing between setups, what would be its capacity (in housings per hour)? b. Assuming the process is supply constrained, what is the utilization (as a percentage) of the CNC machine if it operates in batches of 12 housings? (Round your answer to 2 decimal places.) c. Assuming the process is supply-constrained and operates with batches of 12 housings, what is the average inventory of housings? d. Aquatica actually makes 5 different housings. As already mentioned, the CNO machine must be setup whenever production switches from one housing to the other. 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What is the most logical way to sequence these sentences to create a logical narrative?sentence 1, sentence 4, sentence 3, sentence 2sentence 1, sentence 2, sentence 4, sentence 3sentence 2, sentence 1, sentence 3, sentence 4sentence 2, sentence 1, sentence 4, sentence 3Mark this and retumSave and ExitNESAMSUNG Teal Company sells televisions at an average price of $814 and also offers to each customer a separate 3-year warranty contract for $81 that requires the company to perform periodic services and to replace defective parts. During 2017, the company sold 327 televisions and 277 warranty contracts for cash. It estimates the 3-year warranty costs as $19 for parts and $29 for labor, and accounts for warranties separately. Assume sales occurred on December 31, 2017, and straight-line recognition of warranty revenues occurs.Account Title Debit Credit 1. Cash (Correct) $304,533 (Correct) 2. Sales Rev. (Correct) $279,585 (Correct) 3. 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