Can someone help me with 2. I will reward brainliest

Can Someone Help Me With 2. I Will Reward Brainliest

Answers

Answer 1

Answer:

[tex]\tan 2 x = \dfrac{24}7[/tex]

Step by step explanation:

[tex]\textbf{2)}\\\\\text{Given that,} \\\\~~~~~\cos x = -\dfrac 45\\\\\implies \cos^2 x = \dfrac{16}{25}~~~~~~~~~~;[\text{Square both sides}]\\\\\implies 1- \sin^2 x= \dfrac{16}{25}\\\\\implies \sin^2 x = 1- \dfrac{16}{25}\\\\\implies \sin^2 x = \dfrac{9}{25}\\\\\implies \sin x =\pm\sqrt{\dfrac{9}{25}}\\\\\implies \sin x = \pm \dfrac 35\\\\[/tex]

[tex]\text{Since,}~ \pi \leq x \leq \dfrac{3\pi}{2}, ~ \text{the angle lies in the 3rd quadrant, where}~ \sin x ~ \text{is negative.}\\\\\text{So,}~ \sin x = -\dfrac 35[/tex]

[tex]\text{Now,}~\\\\\tan x = \dfrac{\sin x }{\cos x} = \dfrac{-\tfrac 35}{-\tfrac 45} = \dfrac 35 \times \dfrac 54 = \dfrac 34\\\\\\\tan 2x =\dfrac{2 \tan x }{ 1- \tan^2 x}\\\\\\~~~~~~~~~=\dfrac{2 \left( \tfrac 34 \right)}{1- \left( \tfrac 34 \right)^2}\\\\~~~~~~~~~=\dfrac{\tfrac 64}{1-\tfrac {9}{16}}\\\\\\~~~~~~~~~=\dfrac{\tfrac 32 }{\tfrac 7{16}}\\\\\\~~~~~~~~~=\dfrac 32 \times \dfrac{16}7\\\\\\~~~~~~~~~=\dfrac{24}7[/tex]


Related Questions


Choose the expression that represents a linear expression.
6x + 6
O-6x² +8x-9
O8x3 + 9x² - 10x + 11
07x4-8x³+9x² - 10x + 11
Question 3(Multiple Choice Worth 1 points)
(06.01 LC)

Answers

Answer:

6x+6

Step-by-step explanation:

a linear expression has no power attached to the x (the unknown)

Kelly made fruit punch to serve at a party for her chess team. She mixed 1
2/5
liters of cranberry juice and 1
3/5
liters of pineapple juice together. Then, she split the fruit punch evenly among 9 glasses. How much fruit punch did Kelly pour into each glass?

Answers

Answer:

1/3 liters. or 33.33333 ml

Step-by-step explanation:

1 2/5 + 1 3/5 = 3

3 liters of juice is there.

3 liters of juice/9 glasses.

1/3 liters of juice is in every glass

find the altitude of a kite where 120 feet of string makes a 64 degree angle to the ground

Answers

Answer:

107.86 to 2 d.p.

Step-by-step explanation:

makes a triangle. 120 feet is the hypotenuse.

we want to find the opposite so we will use sine.

sin(x) = opp/hyp which means opp = sin(x)hyp.

opp = sin(64)120

opp = 107.86 to 2d.p.

I need to know how to solve this

Answers

Answer:

K=-6/11

Step-by-step explanation:

3(k/3+4-2k)=3(-9k)

K+12-6k=-27k

12-5k=-27k

12=-22k

K=-6/11

The slope of a line is 7/8 The y-intercept of the same line is 4
Complete the slope-intercept form equation

Answers

Answer:

y = -7/8x + 4

Step-by-step explanation:

Slope-intercept form :

y = mx + b

m = slopeb = y-intercept

Hence, the equation formed is :

y = -7/8x + 4

represent the sum of 3/4 and -5/8 is ???

Answers

3/4 + -5/8

---Find a common denominator

6/8 + -5/8

---Simplify

1/8

Hope this helps!

Answer:

3/4 + -5/8 = 1/8

Step-by-step explanation:

When adding fractions, you always need to find a common denominator. 4 and 8 share a common denominator of 8.

You multiply 3/4 by 2/2 and get 6/8.

When adding negative numbers, it is the same as subtracting.

6/8  + (-5/8)  =

6/8 - 5/8 = 1/8

So 1/8 is the answer.

I hope this helps!

A coffee table is on sale for 20% off the original price of $115. If there is 7.5% sales tax, what is the final price of the coffee table?

Answers

Answer:

The final price for the coffee table is $98.9.

Step-by-step explanation:

1. First, is to convert the percentage to decimal form

We can do this by changing 7.5% to decimal number by dividing 7.5 by 100, we get:

\frac{7.5}{100}

100

7.5

= 0.0750.075

2. Then multiply 0.075 to the original price of $115

0.075(115) = 8.625

Then, add 8.625 to the original price of $115, we get:

115 + 8.625 = $123.625

3. After this, we subtract the 20% discount to $123.625

We can do this by converting 20% to decimal form, we get:

\frac{20}{100}

100

20

= 0.20.2

Then, multiply $123.625 by 0.2, we get:

123.625(0.2) = $24.725

4. Then subtract 24.725 from $123.625, we get:

123.625 -123.625−24.725 = $98.9

Final price of the table coffee which is on sale by 20% with a sales tax of 7.5% is $98.9.

What is the phenotypic ratio of the offspring? 1:1:1:1:2:2:2:2:4 1:3:3:9 1:4 4:12

Answers

The phenotypic ratio of the offspring as shown in the given Punnett square is: 1:3:3:9.

What is Phenotypic Ratio?

Phenotypic ratio is quantitative relation of the number of offspring of a cross that manifest a certain combination of traits or characteristic.

From the Punnett square given, there are:

9 round and yellow individuals3 round and green individuals3 wrinkled and yellow individuals1 wrinkled and green individuals

Therefore, the phenotypic ratio would be: 1:3:3:9.

Learn more about phenotypic ratio on:

https://brainly.com/question/14578413

#SPJ1

Answer:

B it the answer 1:3:3:9

Step-by-step explanation:

Help!! Also the questions says “Which of the following shows JUST a variable?”

Answers

The answer is (g)

Variables are letters that represent unknown numbers
It can be any letter if the alphabet (a,b,c,d…..)
The others are what we call an (expression )which is basically when we put variables with other numbers

what is the distance from (7,0)- (-5,5)

Answers

Answer:

[tex]\frac{5}{-12}[/tex]

Step-by-step explanation:

If you use the formula [tex]m = \frac{y2 - y1} {x2 - x1}[/tex] with x1 being 7, y1 being 0, -5 being x2 and 5 being y2, then you can subtract. 5(y2) minus 0(y1) is 5, and -5(x2) minus 7(x1) is -12. The formula would look like this: [tex]m = \frac{5 - 0}{-5 - 7} \frac{5}{-12}[/tex].

(tip: you need to do rise over run, aka y over x, shown as [tex]\frac{y}{x}[/tex] or [tex]\frac{rise}{run}[/tex])

I hope I helped you answer your question, and helped better understand it as well

The volume of air in a balloon is represented by the function v(r)=4/3 pi ^3, where r is the radius of the balloon, in
inches. The radius of the balloon increases with time, in seconds, by the function r(t) = 1².
Write a composite function that can be used to determine the volume of the balloon after t seconds. Then, select the
two true statements.

Answers

It is true for multiple reasons

A number cube is rolled 15 times how many times would you expect a number less than 3 to be rolled

Answers

Answer:

45

Step-by-step explanation:

how many number you rolled 3 times how many times its rolled 15 x 3 +45

Therefore,the answer would be 45

A cylindrical container is packaged inside a prism-shaped box. the box has a volume of 96 cubic units. if the container has a diameter of 4 units and a height of 6 units, what is the volume of the empty space between the cylinder and the box? round the answer to two decimal places. a. 20.60 cubic units b. 37.77 cubic units c. 51.27 cubic units d. 75.40 cubic units

Answers

Volume is a three-dimensional scalar quantity. The volume of the empty space is 20.602 units³.

What is volume?

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

Given the volume of the prism, the box is 96 units³ and the diameter of the cylindrical container is 4 units(Radius=2 units), while the height of the cylinder is 6 units. Therefore, The volume of the empty space is,

The volume of the empty space

= Volume of prism - Volume of the cylindrical container

= 96 units³ - (π×2²×6) units³

= 96 units³ - 75.398 units³

= 20.602 units³

Hence, the volume of the empty space is 20.602 units³.

Learn more about Volume:

https://brainly.com/question/13338592

#SPJ1

I will choose brainlyist and 20 POINTS

Answers

Answer:

They are all non triangles, but I'm not in your math class, so I don't know.

Step-by-step explanation:

What is the value of f(x) when x=3?

Answers

Still only f the 3 adds a exponent

Which point is one fourth of the way between point A and point B on the line segment AB shown on the coordinate plane below?

Answers

The coordinate of the point between point A and point B on the line segment AB is [tex](\frac 92, -\frac{19}4)[/tex]

How to determine the point?

The points are given as:

A = (4,-5)

B = (6,-4)

m : n = 1 : 3

The coordinate of the point is then calculated using:

[tex]P = \frac{1}{m + n}(mx_2 + nx_1,my_2 + ny_1)[/tex]

So, we have:

[tex]P = \frac{1}{1 + 3}(1 * 6 + 3 * 4, 1 * -4 + 3 * -5)[/tex]

Evaluate the sum of product

[tex]P = \frac{1}{4}(18, -19)[/tex]

Evaluate the product

[tex]P = (\frac 92, -\frac{19}4)[/tex]

Hence, the coordinate of the point is [tex](\frac 92, -\frac{19}4)[/tex]

Read more about line segment at:

https://brainly.com/question/12959377

#SPJ1

Please help me thank you :3

Answers

Quadrilaterals are angles that has 4 sides and angles.  The measure of the angle m<SPQ is 110 degrees

Angles in a quadrilateral

Quadrilaterals are angles that has 4 sides and angles. The given quadrilateral is a rhombus with equal opposite sides.

Given the following angles

m<SPR = 2x + 15

m<QPR = 3x - 5

From the figure

m<SPR = m<QPR

Substitute

2x+ 15 = 3x - 5

2x - 3x = -5 - 15

x = 20

Determine the measure of <SPQ
m<SPQ = 3x - 5 +2x +15

m<SPQ = 5x + 10
m<SPQ =5(20) + 10
m<SPQ = 110 degrees

Hence the measure of the angle m<SPQ is 110 degrees

Learn more on rhombus here: https://brainly.com/question/26154016

#SPJ1

Slope of (-9,-2) and (-9,-6)

Answers

Answer:

Slope is undefined.

Step-by-step explanation:

The diagram shows a regular polygon.
x
What is the value of x?
Write your answer as an integer or as a decimal rounded to the nearest tenth.

Answers

Answer:

To find the value of x, use the formula

(n-2) x 180,  where n is the number of sides.

In this case, we have a TRIangle, which has THREE sides.

So, n=3

(3-2) x 180

1 x 180

180

If the total sum of the angles  is 180, then  the  measure of one angle would be 180 divided by 3, which is 60.

Let me know if this helps, or if you got any more questions

the diagram shows a sector of a circle radius 10cm
calculate the perimeter of the sector
give answer to 1 decimal place

Answers

Answer:

[tex]\text{Perimeter of sector = 43.6 (Rounded to the nearest tenth.)}[/tex]

Step-by-step explanation:

[tex]\text{Perimeter of the sector = Radius + arc length + radius}[/tex]

[tex]\text{Radius = 10 cm}[/tex]

[tex]\text{Perimeter of the sector = 10 + arc length + 10 }[/tex]

 [tex]\text{Perimeter of the sector = 20 + arc length }[/tex]

[tex]\text{arc length = (sector angle/ 360 ) * perimeter of the circle}[/tex]

[tex]\text{Perimeter of a circle }=2\pi r[/tex]

[tex]\text{sector angle} = 135[/tex]

[tex]\text{arc length} = (135/ 360 ) * 2\pi (10)[/tex]

[tex]= (3/8) 20\pi[/tex]

[tex]= 15\pi /2[/tex]

[tex]\text{Using }\pi =3.14[/tex]

[tex]= 15 * 3.14 /2[/tex]

[tex]= 23.55[/tex]

[tex]\text{Perimeter of the sector = 20 + 23.55}[/tex]

[tex]= 43.55[/tex]

[tex]= 43.6 cm[/tex]

[tex]\text{perimeter of the sector = 43.6 cm }[/tex]

Which is true about the functional relationship shown in the graph?

Answers

Answer A. Y is cost and x is weight the shopping cost is a function of the weight of the package

Points a and b lie on a circle centered at point o. if oa = 5 and what is the area of sector aob? use the value π = 3.14, and choose the closest answer. a. 19.6 square units b. 39.3 square units c. 7.85 square units d. 15.7 square units

Answers

The area of sector AOB  whose radius OA 5 units is 19.6 sq. units.

What is the Sector?

A sector is a portion of a circle which is enclosed between its two radii and the arc adjoining them. The most common sector of a circle is a semi-circle which represents half of a circle.

Here, Radius of Circle = 5 units

         length of arc AB / circumference = 1/4

        So, Area of Sector AOB = one fourth of area of circle

                                                  = 1/4 X π X r²

                                                 = 0.25 X 3.14 X 5²

                                                 = 0.25 X 3.14 X 25

                                                 = 19.625 sq. units

Thus, the area of sector AOB  whose radius OA 5 units is 19.6 sq. units.

Learn more about Area of Sector from:

https://brainly.com/question/7512468

#SPJ1

Answer:

19.6

Step-by-step explanation:

In a statistics activity, students are asked to determine the proportion of times that a spinning penny will land with tails up. the students are instructed to spin the penny 10 times and record the number of times the penny lands tails up. for one student, it lands tails side up six times. the student will construct a 90% confidence interval for the true proportion of tails up. are the conditions for inference met?

Answers

Using the Central Limit Theorem, it is found that the conditions for inference are not met, as there are less than 10 successes and less than 10 failures.

What does the Central Limit Theorem state?

It states that for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].

In this problem, we have that np = 6 < 10, n(1-p) = 4 < 10, hence the conditions for inference are not met.

More can be learned about the Central Limit Theorem at https://brainly.com/question/24663213

#SPJ1

Factorise completely 12 x³y - 18 xy²​

Answers

Answer:

6xy(2x²-3y)

Step-by-step explanation:

factorized completely

Quadrilateral ABCD has the following coordinates: A(-6,3) B(-4,5) C(-1,6) and D(-3,2) and
maps onto A"B"C"D". It will undergo transformations that will consist of a reflection over
the y-axis followed by a translation. Point D" is shown plotted in the plane after the
transformation.

A) Write the translation rule that maps point D' to point D".

B) Write the coordinates of point A"

Answers

The translation rule that maps point D' to D" is (x + 3, y) and  the coordinate of point A" is (9,3)

How to determine the translation rule?

The coordinates are given as:

A(-6,3) B(-4,5) C(-1,6) and D(-3,2)

When reflected across the y-axis, the transformation rule is:

(x,y) -> (-x,y)

So, we have:

A' = (6,3)

D' = (3,2)

Point D" on the grid is (6,2).

This means that the translation rule that maps both point is (x + 3, y)

The coordinates of point A

In (a), we have:

A' = (6,3)

Using the translation rule (x + 3, y), we have:

A" = (6 + 3,3)

A" = (9,3)

Hence, the coordinate of point A" is (9,3)

Read more about transformation at:

https://brainly.com/question/4289712

#SPJ1

If a baseball player hits 10 home runs in the first 45 game, at the same rate how many home runs can he expect to hit during the 162 game season

Answers

Using proportions, it is found that he can be expected to hit 36 home runs during the 162 game season.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, the player hits 10 home runs in 45 games, hence the proportion is:

p = 10/45.

Then, in 162 games, the amount is:

HR = 10/45 x 162 = 36.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

An mp3 player was reduced from $229.99 to $129.99. find the percent reduction in price. round the answer to the nearest tenth of a percent, if necessary.

Answers

Answer:

43.4%

Step-by-step explanation:

229.99 - 129.99

= 100

The percent reduction is:

100/229.99 * 100

=43.4%

how can i find area of abd triangle. .............​

Answers

Answer:

  6 square units

Step-by-step explanation:

The attachment shows the figure redrawn to scale, along with helpful semicircle O with diameter EB. Trig relations can be used to find the area of triangle ADB. The relation between an inscribed angle and its corresponding central angle is also helpful.

__

angles

Any right triangle can be inscribed in a semicircle whose diameter is the hypotenuse. Accordingly, we have constructed semicircle O whose center is the midpoint of EB. Hence its radius is EB/2 = 4/2 = 2.

Then angle EBD is an inscribed angle, hence half the measure of central angle EOD. Since ∠EOD is double the measure of ∠EBD, it is congruent to ∠EBC, which is also double the measure of ∠EBD. We have called the measure of this double angle θ. Its complement is the angle marked β.

segments

The fact that angles EOD and EBC are congruent means that segments OD and BC are parallel. Segment BC is the altitude of ΔADB with respect to base AD.

The tangent ratio is ...

  Tan = Opposite/Adjacent

Applying that to angle β, we have

  tan(β) = OD/AD   [eqn 1]

  tan(β) = BC/AC   [eqn 2]

These two relations can be solved for the measures of AD and BC, which we need in order to find the area of ΔADB.

area

Equation [eqn 1] tells us ...

  AD = OD/tan(β)

Equation [eqn 2] tells us ...

  BC = AC·tan(β)

The area of ΔADB is ...

  Area = 1/2bh

  Area = 1/2(AD)(BC) = 1/2(OD/tan(β))·(AC·tan(β))

  Area = 1/2(OD)(AC) . . . . . . factors tan(β) cancel

The length of AC is given as 6, and we know OD = 2, so the area is ...

  Area = 1/2(2)(6) = 6

The area of triangle ADB is 6 square units.

A rectangle is 21 meters long and 11 meters wide. what is the perimeter of this rectangle?

Answers

Step-by-step explanation:

the perimeter is simply the distance you would have to walk when going around the whole object once.

so, you would go a length, a width, another length and another width, until you are finally arriving back at the starting point.

so, the perimeter of a rectangle is

2×length + 2×width = 2×21 × 2×11 = 42 + 22 = 64 m

The troupe’s account balance first reached $500 on Day 4. The last day the account balance was $500 was
Day 8.
(a) Determine C(5), C(6), and C(7). Explain how you determined these amounts.
(b) Estimate C(1), C(2), and C(3). Explain how you determined these amounts.
(c) The stage manager said that the amount of money taken out of the account each day between Day 8
and Day 11 was the same amount of money put into the account each day between Day 0 and Day 4.
Recall that Day 11 is when the balance first reached $0. Without doing any calculations, how could
you show the stage manager was incorrect?

Answers

Answer:

The answer is c, hope this helps

Step-by-step explanation:

Other Questions
What were two active tactics African slaves used to fight back? 2(z+5) +5(z+ 2) = 10(z 1) What is the answer to this question Why do many organizations use the hybrid and multi-Cloud approach? what is tectonic plate How do the authors use historical evidence to support.their claim in this passage?They use primary-source quotations to show thatenslaved people in Saint Domingue were willing todestroy property to gain their freedom.They use secondary-source quotations to show theplan that the commanders devised in Alligator Woodsin August of 1791.They use primary-source information to describe therole of commanders on sugar plantations in SaintDomingue.They use secondary-source information to describeToussaint's plan to enslave all the people working onthe sugar plantations. What is the quotient? X+5/3x^2 + 4x+5 HELP ASAP PLEASE (answer all parts please)The upcoming championship high school football game is a big deal in your little town. The problem is, it is being played in the next biggest town, which is two hours away! To get as many people as you can to attend the game, you decide to come up with a ride-sharing app, but you want to be sure it will be used before you put all the time in to creating it. You determine that if more than three students share a ride, on average, you will create the app.You conduct simple random sampling of 20 students in a school with a population of 300 students to determine how many students are in each ride-share (carpool) on the way to school every day to get a good idea of who would use the app. The following data are collected:6 5 5 5 3 2 3 6 2 25 4 3 3 4 2 5 3 4 5You will construct a 90% confidence interval and 95% confidence interval for the mean number of students who share a ride to school, then you will compare and interpret the results.Part A: Decide which partner will construct each confidence interval, and then state the parameter and check the conditions.Part B: Construct the confidence interval. Be sure to show all your work, including the degrees of freedom, critical value, sample statistics, and an explanation of your process. Part C: Interpret, share, and compare. Interpret the meaning of the confidence interval, compare your results with your partner, and describe the difference in the width of the interval and the margin of error.Part D: Use your findings to explain whether you should develop the ride-share app for the football game. (Citizenship 02.05 HC)Imagine that a natural disaster affects a large city and the power is out for weeks. Local officials order a temporary curfew, so people must remain in their homes during night hours. Officials say the curfew ensures safety for both the public and for workers restoring power yall help please and thank you! Choose the function for this graph Which of the following initiatives most contributed to Mao Zedongs goals for China as described in the passage?A. The Cultural Revolution to purge traces of capitalism and traditionalism from communist China.B. The Great Leap Forward to rapidly develop Chinas economy while creating a more fully communist society.C. The New Economic Policy to recover from war, famine, and natural disasters by privatizing Chinas agricultural production.D. The Four Modernizations to strengthen Chinas economy by reforming agriculture, industry, national defense, and science and technology What's function of ADH Marking as brainliest last attempt (ZOOM IN THE PHOTO)write a paragraph about the topic : bullying in schools TIME REMAINING57:53Allied leaders sought to address the Sudetenland conflict byagreeing to give Hitler land where the predominant population was German.offering to pay Hitler to stop the annexation of a part of Czechoslovakia. convincing Czechoslovakia to give up land where Germans were a majority.helping Czechoslovakia fight the annexation of this part of their country. A ball is tied to the end of a cable of negligible mass. The ball is spun in a circle with a radius 2. 00 m making 7. 00 revolutions every 10. 0 seconds. What is the magnitude of the acceleration of the ball?. Answer the statistical measures and create a box and whiskers plot for the following set of data. 2, 2, 4, 6, 6, 7, 8, 9, 9, 11, 11, 12, 19 What is the hottest temperature ever recorded in texas. Which conclusion is best supported by the passage?Which excerpt from Initiation is the best example of an internal conflict? answer the problem please