Find the area of the quadrilateral.

Find The Area Of The Quadrilateral.

Answers

Answer 1

Answer:

320 cm²

Step-by-step explanation:

If 3 units = 12cm

Then 1 unit = 12/3 = 4cm

Formula for Area Trapezoid = height*(base1+base2)/2

Base 1 = 12

Base 2 = 7 * 4 = 28

12 + 28 = 40

40 * (4*4) = 40 * 16 = 640

640 / 2 = 320

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K


Related Questions

Simplify i to the 31st power

Answers

Answer:

?

How did you simplify

Find the reflection of the point (x,y) in the line y=mx+c​

Answers

Answer:

[tex]\displaystyle \left(\frac{-(m^{2}-1)\, x + 2\, m\, y - 2\, m \, c}{m^{2} + 1},\, \frac{(m^{2} - 1)\, y + 2\, m \, x + 2\, c}{m^{2} + 1}\right)[/tex].

Step-by-step explanation:

Consider the line that is perpendicular to [tex]y = m\, x + c[/tex] and goes through [tex](x,\, y)[/tex].

Both [tex](x,\, y)[/tex] and the reflection would be on this new line. Besides, the two points would be equidistant from the intersection of this new line and line [tex]y = m\, x + c[/tex].

Hence, if the vector between [tex](x,\, y)[/tex] and that intersection could be found, adding twice that vector to [tex](x,\, y)\![/tex] would yield the coordinates of the reflection.

Since this new line is perpendicular to line [tex]y = m\, x + c[/tex], the slope of this new line would be [tex](-1/m)[/tex].

Hence, [tex]\langle 1,\, -1/m\rangle[/tex] would be a direction vector of this new line.

[tex]\langle m,\, -1\rangle[/tex] (a constant multiple of [tex]\langle 1,\, -1/m\rangle[/tex] would also be a direction vector of this new line.)

Both [tex](x,\, y)[/tex] and the aforementioned intersection are on this new line. Hence, their position vectors would differ only by a constant multiple of a direction vector of this new line.

In other words, for some constant [tex]\lambda[/tex], [tex]\langle x,\, y \rangle + \lambda\, \langle m,\, -1 \rangle = \langle x + \lambda \, m,\, y - \lambda \rangle[/tex] would be the position vector of the reflection of [tex](x,\, y)[/tex] (the position vector of [tex](x,\, y)\![/tex] is [tex]\langle x,\, y \rangle[/tex].)

[tex]( x + \lambda \, m,\, y - \lambda )[/tex] would be the coordinates of the intersection between the new line and [tex]y = m\, x + c[/tex]. [tex]\lambda\, \langle m,\, -1 \rangle[/tex] would be the vector between [tex](x,\, y)[/tex] and that intersection.

Since that intersection is on the line [tex]y = m\, x + c[/tex], its coordinates should satisfy:

[tex]y - \lambda = m\, (x + \lambda \, m) + c[/tex].

Solve for [tex]\lambda[/tex]:

[tex]y - \lambda = m\, x + m^{2}\, \lambda + c[/tex].

[tex]\displaystyle \lambda = \frac{y - m\, x - c}{m^{2} + 1}[/tex].

Hence, the vector between the position of [tex](x,\, y)[/tex] and that of the intersection would be:

[tex]\begin{aligned} & \lambda\, \langle m,\, -1 \rangle \\= \; & \left\langle \frac{m\, (y - m\, x - c)}{m^{2} + 1},\, \frac{(-1)\, (y - m\, x - c)}{m^{2} + 1}\right\rangle \\ =\; &\left\langle \frac{-m^{2}\, x + m\, y - m\, c }{m^{2} + 1},\, \frac{-y + m\, x + c}{m^{2} + 1}\right\rangle \end{aligned}[/tex].

Add twice the amount of this vector to position of [tex](x,\, y)[/tex] to find the position of the reflection, [tex]\langle x,\, y \rangle + 2\, \lambda \,\langle m,\, -1 \rangle[/tex].

[tex]x[/tex]-coordinate of the reflection:

[tex]\begin{aligned} & x + 2\, \lambda\, m \\ = \; & x + \frac{-2\, m^{2}\, x + 2\, m \, y - 2\, m \, c}{m^{2} + 1} \\ =\; & \frac{-(m^{2} - 1) \, x + 2\, m \, y - 2\, m \, c}{m^{2} + 1}\end{aligned}[/tex].

[tex]y[/tex]-coordinate of the reflection:

[tex]\begin{aligned} & y + (-2\, \lambda)\\ = \; & y + \frac{- 2\, y + 2\, m\, x + 2\, c}{m^{2} + 1} \\ =\; & \frac{(m^{2} - 1) \, y + 2\, m \, x + 2\, m \, c}{m^{2} + 1}\end{aligned}[/tex].

PLEASE HELP

4/9w = -8

Show your work in details if you can, I have a hard time understanding this.

Answers

4/9 w = -8

Multiply both sides by 9
4w = -72
Divide both sides by 4
W= -18

Or. Multiply both sides by 9/4
X= -18

[tex] \begin{cases}\large\bf{\blue{ \implies}} \tt \: \frac{4}{9} \sf \: w \: = \: - 8 \\ \\ \large\bf{\blue{ \implies}} \tt \: \frac{4 \sf \: w}{9} \: = \: 8 \\ \\ \large\bf{\blue{ \implies}} \tt 4 \sf \: w \: = \: 9 \: \times \: 8 \\ \\ \large\bf{\blue{ \implies}} \tt 4 \sf \: w \: = \: 72 \\ \\ \large\bf{\blue{ \implies}} \tt \sf \: w \: = \: \cancel\frac{72}{4} \\ \\ \large\bf{\blue{ \implies}} \tt \sf \: w \: = \: 18 \end{cases}[/tex]

Social media is popular around the world. Statista provides estimate of the number of social media users in various countries in as well as the projections for . Assume that the results for surveys in the United Kingdom, China, Russia, and the United States are as follows.

Use Social Media United Kingdom China Russia United States
Yes 480 215 343 640
No 320 285 357 360

Required:
a. Conduct a hypothesis test to determine whether the proportion of adults using social media is equal for all four countries. What is the p-value? Using a .05 level of significance, what is your conclusion?
b. What are the sample proportions for each of the four countries? Which country has the largest proportion of adults using social media?
c. Using a 0.05 level of significance, conduct multiple pairwise comparison tests among the four countries. What is your conclusion?

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

The data table :

Use of SM _UK _China _ Russia _US _ col total

Yes ______480 __215 ___343 __640 _ 1678

No _______320 _ 285 ___357__ 360 _ 1322

Row Total__ 800 _500 __ 700_ 1000_ 3000

H0 : p1 = p2 = p3 = p4

H1 : p1 ≠ p2 ≠ p3 ≠ p4

Test statistic :

χ² = Σ(observed - Expected)² / Expected

Expected value of each cell = (Row total * column total) / N

N = grand total

Expected Values:

447.467 _279.667 _ 391.533 _ 559.333

352.533 _ 220.333 _ 308.467 _ 440.667

χ²=(2.36536+14.9527+6.01605+11.6337+3.00232 18.9793+7.63611+14.7665) = 79.352

Degree of freedom, df = (row-1)*(column-1) = (2 - 1) * (4 - 1) = 1 * 3 = 3

Using the Pvalue from Chisquare calculator :

Pvalue(79.352, 3) = 0.00000000001

Decision region :

Reject H0 ; If Pvalue < α

α = 0.05

Since 0.000000001 < 0.05 ; Reject H0 and conclude that not all population proportion are equal.

Sample proportion :

Phat = number of yes, x / total

For UK, Phat = 480/800 = 0.6

For China , Phat = 215/500 = 0.43

For Russia , Phat = 343/700 = 0.49

For US, Phat = 640/1000 = 0.64

Part of the population of 6,750 elk at a wildlife preserve is infected with a parasite. A random sample of 50 elk shows that 3 of them are infected. How many elk are likely to be infected?

Answers

Answer:

405

Step-by-step explanation:

We can use a ratio to solve

3 infected           x infected

------------------ = ----------------

50 sampled     6750 population

Using cross products

3*6750 = 50x

Divide each side by 50

3*6750/50 = x

405

Answer:

Around 405 elk should be infected with the parasite.

Step-by-step explanation:

6,750/50=135

135 * 3 = 405

hope this helps :)

81×81+68×68-2×81×68

Answers

Answer:

First by "BODMAS" we will sove multiplication

81×81+68×68-2×81×68

now first we will solve addition

=6561+4624-11016

=11185-11016

=169

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Step 3: Write the equation of the line that passes through the point (4,−1)
(
4
,

1
)
that is parallel to the line 2−3=9

Answers

Answer:

-

Step-by-step explanation:

-

pls help !
hopefully you can read the whole thing :))

Answers

Answer:

answer is A

Step-by-step explanation:

option A is the answer

Mark bought seeds, 5 packets of carrot seeds, 2 packets of
bean seeds, and 3 packets of pea seeds. If he randomly
selects 4 packets to plant, what is the probability that he
selects 2 packets of carrots, 1 packet of beans, and 1 packet
of peas?

Answers

Answer:

4/10=2/5 therefore the answer to 2/5

From the observation deck of a skyscraper, Isabella measures a 67
angle of depression to a ship in the harbor below. If the observation deck is 824 feet high, what is the horizontal distance from the base of the skyscraper out to the ship? Round your answer to the nearest tenth of a foot if necessary.

Answers

The horizontal distance from the base of the skyscraper out to the ship is 349.8feet

Angle of elevation and depression

The angle situated above the hill is known as  the angle of depression

Given the following parameters

Height of the harbor = 824 feet

Angle of depression = 67degrees

According to SOH CAH TOA identity:

tan 67 = opp/adj
tan 67 = 824/d

d = 824/tan67
d = 349.8 feet

Hence the horizontal distance from the base of the skyscraper out to the ship is 349.8feet

Learn more on angle of depression here: https://brainly.com/question/12483071

Solve for x^2=18
Please help

Answers

Answer:

See below

Step-by-step explanation:

x^2 = 18

x = 18 sqrt

x = 4.24 or 4.2 (rounded to the nearest tenth)

What is the conjugate of
square root 8 - square root 9

Answers

Answer:

[tex]\sqrt{8}+\sqrt{9}[/tex]

Step-by-step explanation:

By definition, the conjugate of a binomial is when you switch the operator (either + or -) in between the terms. For example, the conjugate of [tex]a+b\sqrt{c}=a-b\sqrt{c}[/tex] as we are just changing the addition symbol (+) to a subtraction symbol (-).

Therefore, the conjugate of [tex]\sqrt{8}-\sqrt{9}[/tex] occurs when we change the subtraction symbol to an additional symbol, hence the answer is [tex]\boxed{\sqrt{8}+\sqrt{9}}[/tex]

What are the degree and leading coefficient of the polynomial?
- 3v² - 2v^3+ 6-8v

Answers

9514 1404 393

Answer:

degree: 3leading coefficient: -2

Step-by-step explanation:

The highest degree term is -2v^3. Its degree is 3, so the degree of the polynomial is 3. Its coefficient is -2, so the leading coefficient is -2.

formula of a square minus b square​

Answers

Answer:

(a+b)(a-b)

Step-by-step explanation:

[tex]\\ \sf\longmapsto (a+b)(a-b)[/tex]

[tex]\\ \sf\longmapsto a(a-b)+b(a-b)[/tex]

[tex]\\ \sf\longmapsto a^2-ab+ba-b^2[/tex]

[tex]\\ \sf\longmapsto a^2-ab+ab-b^2[/tex]

[tex]\\ \sf\longmapsto a^2-b^2[/tex]

According to the question

[tex]\large\bf{\orange{ \implies}} \: \tt \: {a}^{2} \: - \: {b}^{2} [/tex]

[tex]\large\bf{\pink{ \implies}} \: \tt \: (a + b) \quad \: (a - b)[/tex]

[tex]\large\bf{\pink{ \implies}} \: \tt \: a \: (a - b) \quad \: b \: (a - b)[/tex]

[tex]\large\bf{\pink{ \implies}} \: \tt \: {a}^{2} \: - \: ab \: + \: ba \: - \: {b}^{2} [/tex]

[tex]\large\bf{\pink{ \implies}} \: \tt \: {a}^{2} \: - \: ab \: + \: ab \: - \: {b}^{2} [/tex]

[tex]\large\bf{\pink{ \implies}} \: \tt \: {a}^{2} \: - \: \cancel{ab} \: + \: \cancel{ab} \: - \: {b}^{2} [/tex]

[tex]\large\bf{\pink{ \implies}} \: \tt \: {a}^{2} \: - \: {b}^{2} [/tex]

Show that Cov(X, Y 1 Z) 5 Cov(X, Y) 1 Cov(X, Z). b. Let X1 and X2 be quantitative and verbal scores on one aptitude exam, and let Y1 and Y2 be corresponding scores on another exam. If Cov(X1, Y1) 5 5, Cov(X1, Y2) 5 1, Cov(X2, Y1) 5 2, and Cov(X2, Y2) 5 8, what is the covariance between the two total scores X1 1 X2 and Y1 1 Y2

Answers

Answer:

x11and x2. arevvvscores

11z/(z+3) = 13 - i , z∈C please solve it

Answers

[tex]\frac{11z}{z+3}=13-i,z\in\mathbb{C}[/tex]

First, multiply both sides by [tex]z+3[/tex],

[tex]11z=(13-i)(z+3)[/tex]

[tex]13z+39-iz-3i=11z[/tex]

Collect terms and put z on the left,

[tex]2z-iz=3i-39[/tex]

[tex]z(2-i)=3i-39[/tex]

[tex]z=\frac{3i-39}{2-i}[/tex]

Division of complex numbers is defined by multiplying both denominator and numerator with complex conjugate of the denominator,

[tex]z=3\frac{(i-13)(2+i)}{(2-i)(2+i)}[/tex]

Multiply out,

[tex]z=3\frac{2i-1-26-13i}{5}[/tex]

[tex]z=3\frac{-11i-27}{5}[/tex]

The result is,

[tex]z=-\frac{81}{5}-\frac{33}{5}i[/tex]

Hope this helps :)

What is the shape of the cross section?

Answers

Answer:

Step-by-step explanation:

Triangular cross-section.

Answer:

it is a triangle cross-section

hope this answer helps you

Plz make me a brainlist

Please help me on this

Answers

Answer:

gshwhsye

Step-by-step explanation:

gshshhshshshjsjsjsj


Suppose $12,000 is deposited into an account paying 5.5% interest, compounded continuously.
How much money is in the account after five years if no withdrawals or additional deposits are
made?

Answers

Answer:

$15798.4

Step-by-step explanation:

We will have to use this formula A = Peᵃᵇ

A = Final amount

P = Initial amount (12,000)

e = Mathematical constant: 2.7183

a = Interest rate (5.5% or 0.055)

b = Years

So our equation will look like this

A = 12,000e⁵ ⁰·⁵⁵

A = 12,000(2.7183)·²⁷⁵

A = 12,000(1.316533)

A = 15798.396

A slide is also called a translation.
ird
True
O False

Answers

Answer:

trueeeee

Step-by-step explanation:

Slide (translation) -- a transformation that slides a figure a given distance in a given direction. A slide is also called a translation. Flip (reflection) -- a transformation creating a mirror image of a figure on the opposite side of a line. A flip is also called a reflecti

Which statements describe the data in the bar graph? Check all that apply.


People prefer rock music to any other type of music.

People prefer pop music to any other type of music.

The least favorite genre of music is blues.

The least frequent favorite genre is country.

Four times as many people prefer pop music to blues.

Answer:
People prefer pop music to any other type of music.

The least favorite genre of music is blues.

Four times as many people prefer pop music to blues.

Answers

Answer:

People prefer pop music to any other type of music.

The least favorite genre of music is blues.

Four times as many people prefer pop music to blues.

Answer:

B) People prefer pop music to any other type of music.

C) The least favorite genre of music is blues.

E) Four times as many people prefer pop music to blues.

Step-by-step explanation:

edge 2023

9. If a card is selected from a standard 52 card deck. What is the probability of selecting a face card or an Ace?

Answers

Well, you’ve got 26 face cards, one of which is an ace, and an additional ace. 27/52 is 52%, so you’ve got a 52% probability (51.9230)

a which matrix post multiplies to (1 3 3 4) to get (19 -3 75 13)​

Answers

Answer:

[19 -1 25 3.25]

Step-by-step explanation:

just take the elements from the resultant matrix and divide it by the corresponding elements in the given matrix to find the matrix that's being asked.

If f(x) = 4x + 5 and fog(x) = 8x + 13 then find g(x).​

Answers

Answer:

given

f(x).4x+5

fog(x).8x+13

now

fog(x):8x+13

4x+5(g(x)):: 8x+13

g(x):: 8x+13/4x+5

Answer:

g(x) = 2x + 2

Step-by-step explanation:

One is given the following information:

f(x) = 4x + 5f o g (x) = 8x + 13

One is asked to find the following:

g(x)

Remember, (f o g (x)) is another way of representing a composite function. A more visual way of representing this composite function is the following (f(g(x)). In essence, one substitutes the function (g(x)) into the function (f(x)) in places of the varaible (x). Thus, represent this in the form of an equation:

f(g(x)) = 8x + 13

Substitute the given infromation into the equation:

4(g(x)) + 5 = 8x + 13

Solve for (g(x)) in terms of (x). Remember to treat (g(x)) as a single parameter:

4(g(x)) + 5 = 8x + 13

Inverse operations,

4(g(x)) + 5 = 8x + 13

4(g(x)) = 8x + 8

g(x) = (8x + 8) ÷ 4

g(x) = 2x + 2

With one alarm clock, we have a 0.875 probability of being awakened. What is the probability of being awakened if we are using two alarm clocks?(

Answers

It will be the same bc two alarms will ring at the same time.

The probability will be the same for both clocks.

What is probability?

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

With one alarm clock, we have a 0.875 probability of being awakened.

The probability for the two clocks will be the same because both the clocks will ring at the same time.

To know more about probability follow

https://brainly.com/question/24756209

#SPJ2

What type of counting problem is this?

Johnny is a very picky eater, so he likes to use a lot of condiments. He has ketchup, salt, pepper, and shredded cheese at his disposal. His mother tells him he may only make two additions to his meal (i.e., he can add condiments only twice, regardless of whether or not he already used them). How many different ways can Johnny improve his meal?
A.Combination with repetition
B.Combination without repetition
C.Permutation with repetition
D.Permutation without repetition

Answers

Answer:

option A

Step-by-step explanation:

Permutation is An arrangement of objects in an ORDER

but combination is the opposite.

In this question, There is a combination! I hope this helped! have a great day!

Michael is 4 times as old as Brandon and is also 27 years older than Brandon.
How old is Brandon?

Answers

Answer:

9

Step-by-step explanation:

b = Brandon

4b=b+27

-b   -b

-------------

3b = 27

----   ----

3      3

b = 9

Brandon is 9 years old.

The difference of two numbers is 9. The sum of the two numbers is 15. What are the two numbers?

Answers

Let numbers be a and b

a+b=15--(1)a-b=9---(2)

Adding both

[tex]\\ \qquad\quad\sf\longmapsto 2a=24[/tex]

[tex]\\ \qquad\quad\sf\longmapsto a=\dfrac{24}{2}[/tex]

[tex]\\ \qquad\quad\sf\longmapsto a=12[/tex]

Put value in eq(2)

[tex]\\ \qquad\quad\sf\longmapsto 12-b=9[/tex]

[tex]\\ \qquad\quad\sf\longmapsto b=12-9[/tex]

[tex]\\ \qquad\quad\sf\longmapsto b=3[/tex]

I need help asap with this question

Answers

In a trapezoid, the midline is the average of the two bases.

PW = (YZ + TM) / 2

29 = (23 + 11x + 2) / 2

58 = 23 + 11x + 2

58 = 25 + 11x

11x = 33

x = 3

Hope this helps!

Jenna danced for 3 hours on Sunday, 2 hours on Monday and Tuesday, 1 hour on Thursday, 1.5 on Friday, and 2 hours on Saturday. She didn’t dance at all on Wednesday. What is the average number of hours she danced each day? Round your answer to the nearest tenth in an hour.

Answers

Sunday: 3 hours
Monday: 2 hours
Tuesday: 2 hours
Wednesday: 0 hours
Thursday: 1 hours
Friday: 1.5 hours
Saturday: 2 hours

3 + 2 + 2 + + 0 + 1 + 1.5 + 2 = 11.5

11.5 ÷ 7 = 1.6 hours on average
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Different metabolic control systems have different characteristic time scales for a control response to be achieved. Match the time scale with the control system.a. Covalent modification b. Allosteric control c. Gene expression 1. Seconds to minutes 2. Milliseconds3. Hours 2,00010,000milligramsgrams67HELPPPPPPPPP Hey can someone help me figure out what 3/4(x-8)=12 Which of the following paragraphs would not fit into the body of an essay withthe thesis below?Thesis: Choosing where to attend college was a difficultdecision; I knew that my family needed me, but I alsodesired to expand my own horizons of learning andexperience more of the world.A. A paragraph about personal education goals during the collegeperiodB. A paragraph describing the athletic opportunities at a college outof stateC. A paragraph comparing the benefits of colleges close to home andcolleges far awayD. A paragraph discussing the specific needs of the family Plz Help me on this one!? Basophils are O granules a) involved in the process of making hemoglobin. b) involved in the allergic process. Q) that resist infection by microorganisms. D) It fights infection with parasites. 1. They are _______tennisA. playB. PlaysC. PlayingD. to playing Messages to the Principal about the student leaving before school time Is this relation a function? What were the main points of the Allied "Europe first strategy? Check all that applya) securing international waters through island hoppingb) finalizing development of an atomic bombc) liberating Jews from death campsd) defeating Germany, then focusing on Japane) deploying most Allied troops to Europe Joyce Murphy runs a courier service in downtown Seattle. She charges clients $0.50 per mile driven. Joyce has determined that if she drives 3,300 miles in a month, her total operating cost is $875. If she drives 4,400 miles in a month, her total operating cost is $1,095. Joyce has used the high-low method to determine that her monthly cost equation is: total monthly cost = $215 + $0.20 per mile driven. 1. Determine how many miles Joyce needs to drive to break even.2. Calculate Joyce's degree of operating leverage if she drives 4, 200 miles.3. Suppose Joyce took a week off and her sales for the month decreased by 25 percent. Using the degree of operating leverage, calculate the effect this will have on her profit for that month. pls help !! answer both 1a and 1b pls the force of attraction between the earth and objects on it is called.. we couldn't buy the concert tickets becuse they were very expensivethe concert tickets were lim(x-0) (sinx-1/x-1) The decomposition of ammonia is: 2 NH3(g) N2(g) + 3 H2(g). If Kp is 1.5 103 at 400C, what is the partial pressure of ammonia at equilibrium when N2 is 0.20 atm and H2 is 0.15 atm? You prepare a gel mobility assay with the following samples:Lane 1 Radiolabeled lacO DNA + Lac Repressor protein preincubated with allolactoseLane 2 Radiolabeled lacO DNA + Lac Repressor protein preincubated with lactoseLane 3 Radiolabeled lacO DNA + Lac Repressor protein missing its DNA binding domainLane 4 Radiolabeled lacO DNA + Lac super-repressor (Is) preincubated with allolactoseLane 5 Radiolabeled lacO DNA + lac repressor proteinOn which lanes do you expect to see two bands?a. 3b. Lane 1 and 2c. Lane 2, 4, and 5d. 2 and 4e. 1 and 5 The Channel Islands are a series of small islands off the California coast. Each island has a genetically distinct population of foxes. Compare the population of foxes on one of these islands to the population of foxes in the forests of mainland California. Which is more likely to be impacted by genetic drift? Which is more likely to be at Hardy-Weinberg equilibrium? What volume of 1.50 mol/L stock solution is needed to make 125 mL of 0.60 mol/L solution? Factor the following expression completely. 16x^5-x^3