What is the exact value of tan 75°?
A.
OB.
O c.
D.
1-
1+
3
1+
1-4
1+√3
1-v3
1+√3

What Is The Exact Value Of Tan 75?A.OB.O C.D.1-1+31+1-41+31-v31+3

Answers

Answer 1

The exact value of the tan(75°), found using trigonometric identities for the tangent of the sum of two angles, indicates that the exact value of tan(75°) is (1+√3/3)/(1 - √3/3))

What are trigonometric identities?

Trigonometric identities are equalities of expressions that includes trigonometric functions which are valid for all values of the argument, or the domain of the function.

The exact value of tan(75°) can be found from the formula for the tangent of the sum of two angles as follows;

tan(A + B) = (tan(A) + tan(B))/(1 - tan(A)•tan(B))

tan(75°) = tan(45° + 30°)

tan(45° + 30°) = (tan(45°) + tan(30°))/(1 - tan(45°)•tan(30°))

tan(30°) = √3/3

tan(45°) = 1

tan(45° + 30°) = (1 + √3/3)/(1 - √3/3)

tan(75°) = (1 + √3/3)/(1 - √3/3)

The correct option is therefore option B

\(tan(75 ^{ \circ } ) = \dfrac{1 + \frac{ \sqrt{3} }{3} }{1 - \frac{ \sqrt{3} }{3} } \)

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Related Questions

Sketch the graphs. y= -1/3x+2

Answers

Answer:

Y-int, (0,2), X-int, (6,0)

Step-by-step explanation:

Sketch the graphs. y= -1/3x+2

Can you Factorise 22 + 10x

Answers

=> 22+10x

=> 2(5x+11)

This is the answer for your question

Answer:

Yes

Step-by-step explanation:

Find the GCF of 22 and 10.

22 - 1, 2, 11, 22.

10 - 1, 2, 5, 10.

The GCF is 2.

22/2=11

10/2=5

So the factorized expression is 2(11+5x)

-hope it helps

The Smiths are sending out a batch of holiday cards. Emily signed 2/5 of the cards. Then Josh signed 1/9 of the remaining cards. Tatiana signed 20% of what Josh had left. If there were 75 cards in all, how many cards are left to be signed?

Answers

The number of cards left to be signed is 32 cards.

To determine the number of cards left to be signed, we need to calculate the number of cards signed by each person and subtract it from the total number of cards.First, Emily signed 2/5 of the cards, which is equal to (2/5) * 75 = 30 cards.

Next, we need to find the number of cards remaining after Emily signed. To do this, we subtract the cards Emily signed from the total number of cards:

75 - 30 = 45 cards.

Now, Josh signs 1/9 of the remaining cards, which is equal to (1/9) * 45 = 5 cards.

After Josh signs his portion, we need to find the number of cards still remaining. We subtract the cards Josh signed from the previous remaining cards:

45 - 5 = 40 cards.

Finally, Tatiana signs 20% of what Josh had left, which is equal to 20/100 * 40 = 8 cards.

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1
What is the y-intercept of a line that has a slope of 4 and passes through point (8, 3)?
3
Ο Ο Ο Ο
11

1What is the y-intercept of a line that has a slope of 4 and passes through point (8, 3)?3 11

Answers

Answer:

The slope-intercept form: y = mx + b

m - a slope

b - y-intercept

We have a slope m = 1/4. Substitute: y = 1/4 x + b

We know, the line passes through point (8, 3) → x = 8, y = 3.

Put the values of x and y to the equation of the line:

1/4 · 8 + b = 3

2 + b = 3 |-2

b = 1

Answer: y-intercept is (0, 1)

Step-by-step explanation:

PLEASE HELP YOU WILL BE BRAINIEST!!! Use the chart!!!!

PLEASE HELP YOU WILL BE BRAINIEST!!! Use the chart!!!!
PLEASE HELP YOU WILL BE BRAINIEST!!! Use the chart!!!!

Answers

Which outcome has a frequency closest to its expected frequency?
2

In a game of chance, players spin the pointer of a spinner with six equal-sized sections
I think 1

Chapter 12
ees

An isosceles triangular prism has a triangular end with a base of 14 inches, an altitude of 24 inches, and a side length 25 inches The height of the prism is
10 inches Calculate the Lateral and Total Surface areas of the prism?

Answers

Answer: 11176ft.

Step-by-step explanation:

solve the expression x + 3 = 7

Answers

Answer:

x=4

Step-by-step explanation:

think of the equation like this: you have to do the inverse(opposite) operations so for adding you would subtract it. So for the adding 3 you would subtract it from both sides of the equation and get X=4

What equation should they enter into the distometer?

What equation should they enter into the distometer?

Answers

Answer:

92

Step-by-step explanation:

\(d = rt\)

\(2r = 184\)

\(r = \frac{184}{2} = 92\)

Just to check the answer:

\(r = \frac{276}{3} = 92\)

\(r = \frac{368}{4} = 92\)

the area of a square is seasonal 25 cm Square calculate the length of a diagonal to one decimal place .




Answers

Answer:

The answer is 7.1cm to 1d.p

Step-by-step explanation:

Area of square =L²

25=L²

√L²=√25

L=5cm

hyp²=opp²+adj²

x²=5²+5²

x²=25+25

x²=50

√x²=√50

x=7.1cm to 1d.p

V = 1/3 π r^2h; If V = 48 π when r = 4, find h

Answers

Answer:

\(48\pi = \frac{1}{3} \pi {4}^{2} \times h \\ we \: omit \: \pi \: each \: sides \\ \\ 48 = \frac{16}{3} \times h \\ h = \frac{3 \times 48}{16} = 3 \times 3 = 9\)

NO LINKS OR ELSE YOU'LL BE REPORTED! Only answer if you're very good at Math.

Ms. Nellies has 2 1/2 pints of vinegar for her students to use in a science experiment.Each group of students needs 3/8 pint of vinegar.Trey draws the number line model and writes the equation below to help Ms. Nellies figure out how many 3/8-pint serving of vinegar she has.Are Trey's number line model and equation correct?

Trey's number line is _______ because it represents the expression _________.The correct equation is _______.Ms. Nellies has enough vinegar for _________ groups of students.

1st blank box: correct or incorrect

2nd blank box: 2 1/2 x 3/4,2 1/2 ÷ 3/4,2 1/2 x 3/8,or 2 1/2 ÷ 3/8.

3rd blank box: 2 1/2 ÷ 3/8= 6 2/3,2 1/2 ÷ 3/8 = 3 1/3,2 1/2 x 3/8 = 2 3/16, or 2 1/2 ÷ 3/8 = 15/16

4th blank box: 2,6,3,or 0


NO LINKS OR ELSE YOU'LL BE REPORTED! Only answer if you're very good at Math.Ms. Nellies has 2 1/2 pints

Answers

Answers:

Trey's number line is incorrect because it represents the expression 2 1/2 ÷ 3/4.

The correct equation is 2 1/2 ÷ 3/8 = 6 2/3.

Ms. Nellies has enough vinegar for 6 groups of students.

===========================================================

Explanation:

Trey has the right idea, but made a mistake on how the tickmarks are set up. Focus on the interval from 0 to 1. This section is cut into 4 equal pieces. So each tickmark represents 1/4 of a unit.

Going 3 tickmarks across means 3/4 of a unit is represented. Since each larger arc represents 3/4 of a unit, this means we're dividing the 2 & 1/2 over 3/4 instead of 3/8

That's why Trey's model represents 2 1/2 ÷ 3/4

The value 3 & 1/3 at the end is correct. Visually we see 3 whole jumps plus an extra 1/3 of a jump to arrive at 2 & 1/2. But again, Trey didn't cut the number line up in the right way, so it doesn't matter that he arrived at the correct result of 3 & 1/3 since his initial setup is faulty.

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

See the diagram below to see what Trey should have drawn. Notice each tickmark represents 1/8 instead of 1/4. Each large blue arc jump represents 3/8 of a unit. We have exactly 6 of these blue arcs plus 2 additional smaller arcs that are 1/3 of the blue arc. So that accounts for the 1/3+1/3 = 2/3 portion.

Overall, we would say that the equation is 2 1/2 ÷ 3/8 = 6 2/3

If you're curious why that equation works, check out the steps below

\(2 \frac{1}{2} \div \frac{3}{8} = \frac{5}{2} \div \frac{3}{8}\\\\2 \frac{1}{2} \div \frac{3}{8} = \frac{5}{2} \times \frac{8}{3}\\\\2 \frac{1}{2} \div \frac{3}{8} = \frac{5*8}{2*3}\\\\2 \frac{1}{2} \div \frac{3}{8} = \frac{40}{6}\\\\2 \frac{1}{2} \div \frac{3}{8} = \frac{20}{3}\\\\2 \frac{1}{2} \div \frac{3}{8} = \frac{18+2}{3}\\\\2 \frac{1}{2} \div \frac{3}{8} = \frac{18}{3}+\frac{2}{3}\\\\2 \frac{1}{2} \div \frac{3}{8} = 6+\frac{2}{3}\\\\2 \frac{1}{2} \div \frac{3}{8} = 6\frac{2}{3}\\\\\)

So again, the equation is 2 1/2 ÷ 3/8 = 6 2/3

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

What does this all mean? Well it means the teacher can break up the vinegar into 6 whole parts plus an additional 2/3 of a part.

In other words, 6 groups will get 3/8 of a pint each. The leftover part 2/3 isn't enough to form that 7th group. Notice in the diagram below, we have 2/8 = 1/4 of a pint which is smaller than 3/8 of a pint.

1/4 = 0.25

3/8 = 0.375

So this is another way to see that the leftovers isn't enough to form a 7th group.

Therefore, she has enough vinegar for 6 groups

NO LINKS OR ELSE YOU'LL BE REPORTED! Only answer if you're very good at Math.Ms. Nellies has 2 1/2 pints

In a population of 2000 students, 230 are left-handed. A random sample of size
50 is selected and the number of left-handed students is recorded. If we
collected many more samples, which of the following could describe the
sampling distribution?

In a population of 2000 students, 230 are left-handed. A random sample of size50 is selected and the

Answers

11.5% is the correct answer

How do you know where to place the decimal in a quotient?

Answers

Answer:

Step-by-step explanation:Move the decimal point in the divisor and dividend. ...

Place a decimal point in the quotient (the answer) directly above where the decimal point now appears in the dividend.

Divide as usual, being careful to line up the quotient properly so that the decimal point falls into place.

there are 12 eggs of the same weight on the scale. the total weght is 620g determine the total weight if the number of eggs is increased to 20​

Answers

Answer:

1033.2 g or 1.033 kg

Step-by-step explanation:

(620/12)(20) = 1033.2 g

Use the graph to find the y-intercept and axis of symmetry

Use the graph to find the y-intercept and axis of symmetry

Answers

Answer: (a) and (d)

Step-by-step explanation:

From the graph, vertex is at

Graph is same about the point \(x=2\) . Therefore, axis of symmetry is the line \(x=2\)

Y intercept is the place where curve intersect the Y-axis that is \((0,2)\)

Option (a) and (d) are correct.

is there anyone that can give me a hand with this question ​

is there anyone that can give me a hand with this question

Answers

Answer:

U = (4,4)

V = (1,1)

W = (3,-3)

Step-by-step explanation:

step 1: note down their current positions

U = (-4, 4)

V = (-1,1)

W = (-3, -3)

step 2: flip the sign of the x coordinates since you are flipping them over the y axis.

U = (-4, 4) --> (4,4)

V = (-1,1) --> (1,1)

W = (-3, -3) --> (3,-3)

step 3: that's it lol you have your answers

U = (4,4)

V = (1,1)

W = (3,-3)

What is the M.A.D. (mean absolute deviation) of the following data set?
8 9 9 7 8 6 9 8

Answers

The mean absolute deviation is 0.75

How to determine the mean absolute deviation

To calculate the mean absolute deviation (M.A.D.), you need to find the average of the absolute differences between each data point and the mean of the data set

From the information given, we have that the data set is;

8 9 9 7 8 6 9 8

Let's calculate the mean, we get;

Mean = (8 + 9 + 9 + 7 + 8 + 6 + 9 + 8) / 8

Mean = 64 / 8

Divide the values

Mean = 8

Let's determine the absolute difference, we get;

Absolute differences=

|8 - 8| = 0

|9 - 8| = 1

|9 - 8| = 1

|7 - 8| = 1

|8 - 8| = 0

|6 - 8| = 2

|9 - 8| = 1

|8 - 8| = 0

Find the mean of the absolute differences:

Average of absolute differences = (0 + 1 + 1 + 1 + 0 + 2 + 1 + 0) / 8

Absolute difference = 6 / 8 = 0.75

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Between which two tenths is the decimal approximation of √7?





Answers

Answer:

2.6 and 2.7

Step-by-step explanation:

The actual square root of 7 is 2.64 and that is between 2.6 and 2.7.

A four-ounce serving of Campbell's Pork & Beans contains 5 grams of protein and 21 grams of carbohydrates A typical slice of "lite" rye bread contains 4 grams of protein and 12 grams of carbohydrates.

(a) I am planning a meal of "beans-on-toast" and I want it to supply 20 grams of protein and 80 grams of carbohy- drates. How should I prepare my meal?

(b)If I require A grams of protein and B grams of carbohy- drates, give a formula that tells me how many slices of bread and how many servings of Pork & Beans to use.​

Answers

(a) To meet the desired 20g protein and 80g carbohydrate intake, prepare 4 servings of Pork & Beans and combine with 15 slices of "lite" rye bread.

(b) Bread: A/4 slices, Beans: B/21 - (A/4) * (12/21) servings.

(a) To prepare a meal of "beans-on-toast" that supplies 20 grams of protein and 80 grams of carbohydrates, you can use the following combination:

- Servings of Campbell's Pork & Beans: 4 servings.

- Slices of "lite" rye bread: 15 slices.

By using 4 servings of Campbell's Pork & Beans, you will obtain a total of 20 grams of protein (5 grams per serving) and 84 grams of carbohydrates (21 grams per serving).

Combining this with 15 slices of "lite" rye bread will contribute an additional 60 grams of carbohydrates (12 grams per slice) and 4 grams of protein (4 grams per slice). Thus, your meal will meet the desired nutritional requirements of 20 grams of protein and 80 grams of carbohydrates.

(b) The formula to determine the number of slices of bread and servings of Pork & Beans needed to meet specific protein and carbohydrate requirements is as follows:

- Number of slices of bread (Bread): A divided by 4.

- Number of servings of Pork & Beans (Beans): (B divided by 21) minus ((A divided by 4) multiplied by (12 divided by 21)).

Using this formula, you can calculate the appropriate quantities of bread and beans based on the desired protein (A) and carbohydrate (B) values.

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what is 8 x 1 ????????????

Answers

Answer:8

Step-by-step explanation:8x1=8

Solve the inequality x+1<3/4 and write the solution in interval notation.

Answers

The solution to the inequality in interval form is (-∞, -1/4)

Inequality expressions

Inequality are expressions not separates by an equal sign. Given the inequality below;

x+1<3/4

Subtract 1 from both sides to have;

x + 1 - 1 < 3/4 - 1

x < 3/4 - 1

x < (3-4)/4

x < -1/4

Hence the solution to the inequality in interval form is (-∞, -1/4)

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Alang earns $173.25 for 9 hours of work. If he makes a constant hourly wage, which table represents the relationship between the number of hours he works and his total earnings?

Answers

For any number of hours worked, Alang's earnings will be $19.25 multiplied by the number of hours worked.

Option A is the only table that reflects this relationship, so the answer is:

Time(Hours)    Pay

1                      $19.25

2                     $20.25

3                      $21.25

What is the rate of work?

The rate of work refers to how much work is done per unit of time. It is often measured in terms of units of work per hour (or per day, week, etc.).

If Alang earns $173.25 for 9 hours of work and makes a constant hourly wage, then we can use proportional reasoning to find his earnings for any number of hours. Specifically, we can set up a proportion:

earnings/hours = hourly wage

We know that Alang earns $173.25 for 9 hours, so we can plug in those values:

$173.25/9 hours = hourly wage

Simplifying the left side, we get:

$19.25/hour = hourly wage

Therefore, for any number of hours worked, Alang's earnings will be $19.25 multiplied by the number of hours worked.

Option A is the only table that reflects this relationship, so the answer is:

Time(Hours)    Pay

1                      $19.25

2                     $20.25

3                      $21.25

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3) Nancy is 22 years older than her son Roger. In 8 years Nancy will be 3 times as old as Roger is in 2 years.

a) How old is Nancy now?

Answers

The answer is 24 for sure

explain the types of frequency distribution in statistics




Answers

The two types of frequency distributions are Discrete Frequency Distribution and Grouped Frequency Distribution

What are the types of distribution?

The two types of frequency distributions are;

Discrete Frequency Distribution:Grouped Frequency Distribution

When the data consists of discrete, separate values, this sort of distribution is used. It displays the frequency or number of occurrences of each value.

The data is often expressed in a table with two columns: one for distinct values and another for the frequencies of those values.

This distribution is utilized when the data is continuous and has a wide range of values. It entails categorizing the data into intervals or classes and then calculating the frequency of values that fall within each interval.

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Question 6(Multiple Choice Worth 1 points)
(02.01 MC)
What are the vertex and range of y = 12x +41 +5?
O (0.5) -∞ O(0.5): 5 ≤y<∞
O(-2,5); - O(-2,5): 5 sy

Answers

The vertex and the range of the quadratic function in this problem are given as follows:

Vertex: (-2, 1).Range: 1 ≤ y < ∞.

How to obtain the vertex and the range of the function?

The quadratic function in the context of this problem is defined as follows:

y = x² + 4x  + 5.

The coefficients are given as follows:

a = 1, b = 4, c = 5.

Hence the x-coordinate of the vertex is given as follows:

x = -b/2a

x = -4/2

x = -2.

Then the y-coordinate of the vertex is given as follows:

y = (-2)² + 4(-2) + 5

y = 1.

As a > 0, the vertex (-2, 1) is the minimum value of the function, hence the range is given as follows:

1 ≤ y < ∞.

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Use the scenario to choose the correct answers. Complete Steps 1-2 in order.
A company records its sales for each year.
9. Step 1: Find the equation of the line of regression
y=ax+b

y=3.7 x+8.5
y=8.5 x+3.7
y=-8.5 x+3.7
y=-3.7 x+8.5

10. Step 2: Use the regression line as a model to estimate the sales of the company in 2022.
71.7 million dollars
64.3 million dollars
85 million dollars
38.1 million dollars

Use the scenario to choose the correct answers. Complete Steps 1-2 in order.A company records its sales

Answers

9. The regression line is given as follows: y = 8.5x + 3.7.

10. The estimate for 2022 is given as follows: 71.7 million dollars.

How to obtain the regression line?

The regression line is obtained inserting the points of the table into a linear regression calculator.

From the table, the points are given as follows:

(1, 13), (2, 19), (3, 31), (4, 36), (5, 47).

(considering x as the number of years since 2014).

Inserting these points into a calculator, the equation is given as follows:

y = 8.5x + 3.7.

2022 is 8 years after 2014, hence the estimate is given as follows:

y = 8.5(8) + 3.7 = 71.7 million dollars.

(numeric value at x = 8, replace the lone instance of x by 8).

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ab - bc if a = 5, b = 3, and c = 4

Answers

Answer:

3

Step-by-step explanation:

Substitute

(5)(3)-(3)(4)

solve

15 - 12 = 3

Reviewing the given clues:

Given expression:

ab - bc

Given values:

a = 5b = 3c = 4________________________________________________

Solution:

ab - bc

Substituting the given values:

=> (5)(3) - (3)(4)

Solving:

=> 15 - 12

Answer:

=> 3________________________________________________

Hence, the answer is 3.

can someone help me put the reasons in order ? please !!

can someone help me put the reasons in order ? please !!

Answers

Answer:

i) Given

ii) Definition of angle bisector

iii) angle addition

iv) Substitution

v) Combine like terms

Mark me brainliest pls

Answer:

1) Given

2) Definition of Angle Bisector

3) Angle Addition

4) Substitution

5) Combine Like Terms

Step-by-step explanation: Hope this helps!

Finding a specified term of a geometric sequence given to terms of the sequence

Finding a specified term of a geometric sequence given to terms of the sequence

Answers

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given parameters

\(\begin{gathered} a_6=ar^5=\frac{17}{625} \\ a_{11}=ar^{10}=-85 \\ where\text{ a is the first term and r is the common ratio} \end{gathered}\)

STEP 2: Divide the two expressions to get the common ratio

\(\begin{gathered} \frac{a_{11}}{a_6}=\frac{ar^{10}}{ar^5}=-\frac{85}{\frac{17}{625}} \\ a\text{ cancels a} \\ r^{10-5}=-85\div\frac{17}{625} \\ r^5=-85\times\frac{625}{17}=-5\times625=-3125 \\ r=\sqrt[5]{-3125}=-5 \\ common-ratio=-5 \end{gathered}\)

STEP 3: Get the first term

\(\begin{gathered} From\text{ equation in step 1,} \\ ar^5=\frac{17}{625} \\ By\text{ substitution,} \\ a(-5)^5=\frac{17}{625} \\ a\times-3125=\frac{17}{625} \\ Divide\text{ both sides by -3125} \\ a=\frac{17}{625}\div-3125=\frac{17}{625}\times\frac{1}{-3125} \\ a=-\frac{17}{1953125} \end{gathered}\)

STEP 4: Calculate the 14th term

\(\begin{gathered} a_{14}=ar^{13} \\ a_{14}=-\frac{17}{1953125}\times-5^{13} \\ a_{14}=10625 \end{gathered}\)

Hence, the 14th term is 10625

your mother runs 2.25 miles per day. How many kilometers does she run in a week

Answers

Answer:

41.4 km per week (rounded)

also:

haha mother joke

25.347168 round if u want
Other Questions
What continents are located across the Atlantic Ocean from the United States of America? Show step by step for solving9a - 7a = 3a - 33 + 2a D. You need to answer some questions from an exchange student at your school.In the first blank, fill in the appropriate possessive adjective. In the second blank,finish the sentence so that it is true for you.Modelo A qu hora empieza tu clase de espaol?Mi clase de espaol empieza alas dos1. Cules son tus clases favoritas?clases favoritas son2. Cul es el nombre de tu profesor(a) de espaol?nombre es3. T y tus amigos escuchan msica interesante. Cul es su grupo favorito?grupo favorito es4. En qu ciudad vive tu familia?familia vive en5. Cules son las comidas favoritas de tu mejor amigo/a?comidas favoritas son6. T y tus amigos hacen muchas actividades divertidas. Cul es su actividad favorita?actividad favorita es subtract (9x+8) from the sum of (3x^2-2x-x^3+2) and (5x^2-8x-x^3+4) 2. what key features should be present in the ir spectrum of your product if you successfully made the desired bromohydrin? what key features should be absent from the ir spectrum if the starting material was completely reacted? Analyze the role of technology, ethics, and tools in market research. 1. Answer the following questions about the role of technology in market research. a) What are two ways advances in technology have affected market research? Explain your response. (3 points)b) What role do ethics play in using technology in market research? What is an example of an ethical issue that businesses might face when conducting market research? (3 points) Which statement best expresses one theme of "To Live"?The lessons learned in school can help you overcome lifes difficulties.The business of everyday life can make it difficult to discover who you really are.Being a part of two different cultures makes you more aware of your identity.Thinking about your future will help you decide what you want to be. A spinner is divided into equal sections of three possible colors. There are 2 yellow sections, 2 blue sections,and 4 red sections Use the drop down menu to complete the statement about the likelihood of the given events related to the spinner A fumiture company is working on a model of a table that has a scale of 3 in.: 2 ft. The length of the model is 6 in. What is the actual length of the table? O 8 ft o 9 o 13 ft 1 2 3 Please help hhhhhhhhhhhhhhhhh 6+76-456+666+19237=? Which choice shows how to find the least common multiple of 9 and 42 through prime factorization? Why do many Muslims study Arabic even if they live in a country where it is not spokenA) they want to be able to visit Mecca so they much speak Arabic B) Muslims believe that Arabic is the language allah chose to use C) Muslim law forbids them from using any other languageD) Muslims believe that the Quran was translated from Hebrew Which geographic landform makes it hard for many people to live in the northern part of Brazil How did colonial experience shape America's political and social ideals? El contraargumento es una parte esencial de ________. un ensayo de comparacin una biografa una autobiografa un ensayo persuasivo hurry !!! not much time left Good morning. Today we will learn how to write a film review like real critics.So, the topic of our lesson is "Film review". What does "review" mean?1.Now read the definition and guess the genre of the film 1)a film that makes people laugh( c_ _ _ _ _)2)a film about life in space or in the future( s..........f........)3)a film about a love story( r............)4)a film in which cartoons are brought to life(a...............)5)a film about an imaginary world( f........)6)a film about exciting experiences( a................)7) a film which is based on real events that happened in the past (historical)2. Answer the questionWhat types of film do you prefer?How do you usually watch films: on TV, on DVD or at the cinema? How often do you go to the cinema?3. Use the phrases and make the dialogues.SuggestingRespondingWould you like....?I love/like/enjoy......Do you fancy.....?I don't mind.How about.....?I prefer.....That's a great idea.I do A movie theater had tickets at $12 for adults, $7 for students and $5 for children under 12 years old. A total of 278 tickets were sold for one showing with a total revenue of $2600. If the number of adult tickets sold was 10 more than the combined total of student and children tickets, find a system that could model this situation what is the probability that at least one of the top three cards in a well shuffled deck of cards is a jack, queen, or king?