Question 14 of 30 +/1 E View Policies Current Attempt in Progress Solve the equation 7cos(20) + 3 = Seos(20) + 4 for a value of 0 in the first quadrant. Give your answer in radians and degrees Round your answers to three decimal places, if required radians e Textbook and Media Save for Later Attempts:0 of 3 used Submit Answer

Answers

Answer 1

The solution for 20 degrees in the first quadrant is:

20 degrees = 20π/180 = 0.349 radians.

Starting with the given equation:

7cos(20) + 3 = sin(20) + 4

Rearranging:

7cos(20) - sin(20) = 1

Using the trig identity cos(a-b) = cos(a)cos(b) + sin(a)sin(b):

cos(20-70) = cos(-50) = cos(50)

Using the fact that cosine is an even function:

cos(50) = cos(-50)

So we can write:

cos(50) = 1/7

Therefore, the solution for 20 degrees in the first quadrant is:

20 degrees = 20π/180 = 0.349 radians.

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Related Questions

Compare the measures of the different angles of elevation and depression that are labeled in the diagram. Which statements are true? Check all that apply.
x > y
v > x
w = y
y < v
v = w
x < w

Answers

The statements that are true about the angle include:

x > y

w = y

y < v

How to illustrate the information?

From the information, the first has legs 529m and 229m. Then tan x = 529/229. Also tan y = 529/347.

It can be seen that tan x is greater than tan y. Angles x, v, y, and w are alternate angles. Therefore, the correct options are A, C, avd D.

A weather balloon is 529 meters above the ground. Two weather stations, A and B, monitor the balloon’s progress. Compare the measures of the different angles of elevation and depression that are labeled in the diagram. Which statements are true

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What is the equation of the translated function, g(x), if f(x) = x2?


a.) g(x) = (x – 4)2 + 6


b.) g(x) = (x + 6)2 – 4


c.) g(x) = (x – 6)2 – 4


d.) g(x) = (x + 4)2 + 6

Answers

Answer: dfghj

Step-by-step explanation: xcfvghj

Answer: It's D

Step-by-step explanation:

Right on edge 2022

(pls help me with this)

4. The points C and D are (4, 5) and (p, q) respectively,

a) Write down, in terms of p and q, the coordinates of the midpoint of CD.

b) Given that the midpoint of CD is (7, 1), find the coordinates of D.​

Answers

A. The coordinates of the midpoint of CD in terms of p and q is [(4 + p) / 2 , (5 + q) / 2]

B. The coordinates of D, Given that the midpoint of CD is (7, 1) is (10 , -3)

A. How to determine the mid pointCoordinate of C = (4, 5)Coordinate of D = (p, q)Mid point =?

Mid point = (X , Y)

X = (x₁ + x₂) / 2

X = (4 + p) / 2

Y = (y₁ + y₂) / 2

Y = (5 + q) / 2

Thus,

Mid point = (X , Y)

Mid point = [(4 + p) / 2 , (5 + q) / 2]

B. How to determine the coordinates of DMid point = (7, 1)Coordinates of D =?

Mid point = (7, 1) = (X , Y)

X = (4 + p) / 2

7 = (4 + p) / 2

Cross multiply

7 × 2 = 4 + p

14 = 4 + p

Collect like terms

p = 14 - 4

p = 10

Y = (5 + q) / 2

1 = (5 + q) / 2

Cross multiply

1 × 2 = 5 + q

2 = 5 + q

Collect like terms

q = 2 - 5

q = -3

Coordinates of D = (p, q)

Coordinates of D = (10 , -3)

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Find n if GCF(n, 40)= 10 and LCM (n, 40)= 280

Answers

Answer:

70

Step-by-step explanation:

GCF(x,y)*LCM(x,y)=xy

10*280=40n

2800=40n

70=n

n=70

A 14 oz bag of flour costs $2.95 and a 28 oz bag of flour costs $6.20. What is the price per ounce of the 14 oz bag of flour?

Answers

The price per ounce of the 14 Oz bag of flour is; ¢21.1.

What is the price per ounce of the 14 oz bag of flour?

Since it follows from the task content that the 14 Oz bag of flour sells for $2.95 which is equivalent to ¢295 since $1 = ¢100.

It follows that the price per ounce of the 14oz bag of flour is; = ¢295/14 = ¢21.1

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Of india’s more than 1.2 billion population, about _____ percent are muslims.
a) 4
b) 15
c) 26
d) 62
e) 88

Answers

Fifteen percent of Muslims live in India

Determine whether the triangles can be proved similar. If they are similar, write a similarity statement. If they are not similar, explain why.

Answers

Answer: No, they are not similar

Step-by-step explanation:

       Similar triangles are triangles with congruent angles.

                   33° ≠ 32°

       These triangles are not similar.

Kady and Scott both invest £800.

Kady invests in an account that gives 15.2% compound interest per annum.

Scott invests in an account that gives 15.9% simple interest per annum.

After how many years is Kady's investment worth more than Scott's?

Answers

Answer:we smoking fredoooooooooo

It cost $1031 for a camping trip. You have to pay $231
to park for the entire trip and $200 per day for the
camping site.
Create the equation below to represent this situation.

Answers

The equation that represent this situation is as follows:

1031 = 231 + 200d

How to find the equation that represent the situation?

It cost $1031 for a camping trip.

You have to pay $231 to park for the entire trip and $200 per day for the

camping site.

Therefore,

let

d = days on the camping site.

Therefore, the equation that represent this situation is as follows:

1031 = 231 + 200d

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Find the volume of the composite figure. Round to the nearest tenth if necessary.

Answers

The volume of the given composite solid is 375 m³

Volume of composite solid

From the question, we are to determine the volume of the composite solid

The volume of the composite solid = Volume of the cuboid + Volume of the triangular prism

Thus,

Volume of the composite solid = (5 × 5 × 13) + 1/2(5 × 4 × 5)

Volume of the composite solid = 325 + 50

Volume of the composite solid = 375 m³

Hence, the volume of the given composite solid is 375 m³

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An object has a mass of 560 kg and a volume of 8 m3. find the density of the object in kg/m3.

Answers

The density is 70 kg/m3. Here’s how I found it:
1: the formula for density is mass divided by volume (560/8)
2: 560/8=70
3. The label is kg/m3

NEED HELP ASAP

Which of the following correctly demonstrates how to factor x² - y²?
A.(x - y)²
B.(x-y)(x+y)
C.(x+y)(x+y)
D.2(x - y)

Answers

Answer:

B.(x-y)(x+y)

Step-by-step explanation:

The factor of x² - y² can be represented by,

A.(x - y)²

INCORRECT:

Translated to (x - y)(x - y) as the exponent says it multiplied by it self

(x - y)(x - y) = x²- 2xy + y² which doesn't match

B.(x-y)(x+y)

Correct!

x times x =  x²

-y times y = -y²

x² - y²

C.(x+y)(x+y)

INCORRECT

x times x =  x²

y times y = y²

x² + y² which doesn't match as y positive here

D.2(x - y)

INCORRECT

distribute 2 so 2x - 2y which isn't the original

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PLSSS HELP
Refer to your answers to the questions from Part 2 of Project 1.
A parabola goes through (negative 3, 3) & (1, negative 1). A point is below the parabola at (negative 3, 2). A line above the parabola goes through (negative 3, 4) & (0, 4). A point on the parabola is labeled (x, y).


What is the correct standard form of the equation of the parabola?

Enter your answer below. Be sure to show each step of your work.

Answers

The correct standard form of the equation of the parabola is:

[tex](x+3)^{2}[/tex]= 4(y - 3).

What is a parabola?

An equation of a curve that has a point on it that is equally spaced from a fixed point and a fixed line is referred to as a parabola. The parabola's fixed line and fixed point are together referred to as the directrix and focus, respectively. It's also crucial to remember that the fixed point is not located on the fixed line. A parabola is a locus of any point that is equally distant from a given point (focus) and a certain line (directrix). An essential curve of the coordinate geometry's conic sections is the parabola.

For the given question,

Vertex of parabola is (-3,3)

Thus, the equation of the parabola is:

[tex](x-h)^{2}=4(y-k)[/tex]

[tex](x+3)^{2}[/tex]= 4(y-3)

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Please help me on this thanks, I got the right answer but I still don’t understand

Answers

His present age is 13 years.

How to solve words problems ?

The words problem can be solved as follows:

let

his present age = x

Therefore,

3(x + 5) = 54

Hence,

3(x + 5) = 54

3x + 15 = 54

subtract 15 from both sides

3x + 15 - 15 = 54 - 15

3x = 39

divide both sides by 3

3x / 3 = 39 / 3

x = 13

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Which fractions are equal to 2/3?


Check all that are true.

1
3

6
9

4
6

1
6

3
2

Answers

Answer:

It's the correct answer

PLEASE MARK AS BRAINLIEST

Step-by-step explanation:

Equivalent fractions of 2/3 : 4/6 , 6/9 , 8/12 , 

THX

Don't forget to mark me as brainliest

A group of Advanced Open Water Divers plans to make two dives. The first dive is on a reef in 22 metres of water for 20 minutes. The group then remains on the surface for 1 hour. The second dive is on a wreck in 16 metres of water, with a planned bottom time of 30 minutes. What will be the ending pressure group after the second dive

Answers

The ending pressure group after the second dive is R.

According to the statement

We have given that the

The first dive is on a reef in 22 metres of water for 20 minutes and The second dive is on a wreck in 16 metres of water, with a planned bottom time of 30 minutes.

And we have to find the pressure group after second dive.

So, For this purpose, we know that the

Recreational scuba diving (R) – this diving has prescribed limits, including a depth no greater than 130 fsw, using only compressed air, and never requiring a decompression stop.

From the above situation, we could note that there was a prescribed limit 18m/60ft of water with a bottom time of 30 minutes.

And due to its the ending pressure becomes R.

So, The ending pressure group after the second dive is R.

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Step 1: –10 + 8x < 6x – 4
Step 2: –10 < –2x – 4
Step 3: –6 < –2x
Step 4: ________

What is the final step in solving the inequality –2(5 – 4x) < 6x – 4?

Answers

The final step in solving the inequality is to divide through by -2 and flip the sign

Solving Inequalities

From the question, we are to determine the final step in solving the inequality

The given inequality and the steps for solving are

Step 1: –10 + 8x < 6x – 4

Step 2: –10 < –2x – 4

Step 3: –6 < –2x

The final step will be to divide both sides of the inequalities by -2 and then flip the sign

That is,

–6 < –2x

Divide both sides by -2 and flip the sign

3 > x

OR

x < 3

Hence, the final step in solving the inequality is to divide through by -2 and flip the sign

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There were only 86 confirmed cases of Measles in the year 2000. In 2019, there was a reported 1,350 % increase in confirmed
cases of Measles. How many cases were there in 2019?

Answers

Answer:

1161 confirmed cases

Step-by-step explanation:

In 2000 the number of cases was 86

Percent means out of a hundred, so if we divide 1350 by 100 we get 13.5.

So, we must multiply 13.5 and 86 to get the amount of cases in 2019.

13.5*86 = 1161 confirmed cases in 2019

How much did Alexa make in 5.5 hours?

Answers

Using a proportional relationship, it is found that Alexa makes $146.45 in 5.5 hours.

What is a proportional relationship?

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality.

The constant in this problem is:

k = 213.6/8 = 427.2/16 = 827.7/31 = 26.7.

Hence her earnings for x hours of work is:

y = 26.7x.

For 5.5 hours of work, her earnings are:

y = 26.7(5.5) = $146.45.

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Can someone please help with this question. 20 points up for grabs!!

Answers

Based on the railway timetable given, the time the first train reaches Oakengates is 0815.

The time taken to reach Shrewsbury from Telford Central is 22 minutes.

What does the train timetable show?

Oakengates is 2 minutes away from Telford Central so when a train leaves the latter and arrives at 0815, this is the first train to Oakengates.

If one left Telford Central at 0852, they would reach Shrewsbury at 0914 to make it:

= 0914 - 0852

= 22 minutes

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Lunch costs $6.90. How much change will
Hector get from $20.00?

Answers

Answer: 22

Step-by-step explanation:

The centreville city council conducts a survey to find out how many people would be willing to donate money to update the town's library. they randomly select 200 people for the survey, and 80 people say they would donate. if 9,800 people live in centreville, about how many people would likely donate?
a. 122
b. 280
c. 3,920
d. 5,880

Answers

(C) 3,920 people would likely donate.

What is the percentage?

A percentage (from Latin per centum "by a hundred") is a number or ratio stated as a fraction of 100 in mathematics. It is frequently symbolized with the percent sign, " percent ". A % is a dimensionless (pure) number; it does not have a unit of measurement.

To find about how many people would likely donate:

First, find 80 is what percent of 200.

∴  [tex]\frac{80}{200} * 100 = 40%[/tex]

So, 80 is 40% of 200.

Centreville population is 9,800.

Now, take out 40% of 9,800.

[tex]\frac{x}{9,800} *100 = 40\\\frac{x}{98} =40\\98*40 = 3,920[/tex]

Therefore, (C) 3,920 people would likely donate.

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Write an expression that can be used to produce vector b from vector a, and explain how you determined that expression.

Answers

The explanation regarding the vector is illustrated below.

How to illustrate the information?

It should be noted that vector A with components a, b, c, can be written as (a, b, c) or in terms of unit vectors as ai + bj + ck.

In this case, the letters I, j, and k are the standard symbols for the unit vectors in the x, y, and z directions.

Therefore, if A = (3,4,5( you can write A = 3i + 4j + 5k.

If B = (1, 1, 1), you can write B = I + j + k.

Then A - B is the vector whose component are the difference in each components.

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WILL MAKE BRAINLIEST!!
Find the correct angle measure for angle b in each figure.

_1. 52°

_2. 27°

_3. 32°

_4. 98°

Answers

Answer
a first one is 52 (90-38=52)
Second one is 32 (180-148=32
I can’t see the third or 4th one

Select the correct answer.
Suppose the following function is graphed.
y = 8^5x +4
On the same grid, a new function is graphed. The new function is represented by the following equation.
y = -5^8x+8
Which of the following statements about these graphs is true?

Answers

The true statement about these graph is that: B. the graph of the original function (y = 8/5x + 4) is perpendicular to the graph of the new function (y =- 5/8x + 8).

What is a graph?

A graph can be defined as a type of chart that's commonly used to for the graphical representation of data on both the horizontal and vertical lines of a Cartesian coordinate, which are typically known as the x-axis and y-axis respectively.

How to interpret the graph?

Mathematically, the standard form of the equation of a straight line on a graph is given by;

y = mx + c

Where:

x and y are the points.m is the slope.c is the intercept.

The condition for perpendicularity.

In Mathematics, the condition for perpendicularity of two (2) lines is as follows:

m₁ × m₂ = -1

8/5 × (-5/8) = -1

Based on the graph (see attachment) of the original function and new function, we can infer and logically deduce that the true statement about their graph is that the graph of the original function (y = 8/5x + 4) is perpendicular to the graph of the new function (y =- 5/8x + 8).

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Complete Question:

Suppose the following function is graphed. y = 8/5x + 4 On the same grid, a new function is graphed. The new function is represented by the following equation. y =- 5/8x + 8. Which of the following statements about these graphs is true?

A. The graphs intersect at (0,8).

B. The graph of the original function is perpendicular to the graph of the new function.

C. The graph of the original function is parallel to the graph of the new function.

D. The graphs intersect at (0,4).

The table below lists the tallest waterfalls in the world, in feet.
Name/Location Height (ft.) Mutarazi - Zimbabwe 24.99 x 102 Gocta Cataracts - Peru 2.532 x 103 Utigord - Norway 2,625 x 100 Angel - Venezuela .3212 x 104 Espelands - Norway 2.307 x 103 Yosemite - California (USA) 2,425 Monge - Norway 25.4 x 102 Tugela - South Africa 3.11 x 103 **Heights are approximations** [Part 1] List the waterfalls from tallest to shortest.. Show all of your work and/or explain your reasoning. [Part 2] What is the difference between the tallest and shortest heights? Show your work.

Answers

The difference between the tallest and shortest heights is 0.787 × 10

Statistics

Mutarazi - Zimbabwe 24.99 x 10²Gocta Cataracts - Peru 2.532 x 10³Utigord - Norway 2,625 x 10^0Angel - Venezuela .3212 x 10⁴Espelands - Norway 2.307 x 10⁴Yosemite - California (USA) 2,425Monge - Norway 25.4 x 10²ugela - South Africa 3.11 x 10³

From tallest to shortest:

Angel - Venezuela 3.212 x 10⁴Espelands - Norway 2.307 x 10⁴ugela - South Africa 3.11 x 10³Utigord - Norway 2,625 x 10^0Monge - Norway 25.4 x 10²Gocta Cataracts - Peru 2.532 x 10³Mutarazi - Zimbabwe 24.99 x 10²Yosemite - California (USA) 2,425

Difference between tallest and shortest heights =

3.212 x 10⁴ - 2,425

= 3.212 x 10⁴ - 2.425 × 10³

= (3.212 - 2.425) × 10^4 - 3

= 0.787 × 10

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Help please you don’t know how much this means to me

Answers

Problem 5:

[tex]db {}^{2} - ab {}^{2} = ab {}^{2} - ae {}^{2} \\ db {}^{2} = 2ab {}^{2} - ae {}^{2} \\ (ac + bc) {}^{2} = 2ab {}^{2} - ae {}^{2} \\ ac {}^{2} + bc {}^{2} + 2ac.bc = 2ab {}^{2} - ae {}^{2} \\ 2ac.bc = ab {}^{2} - ae {}^{2} [/tex]

[tex]2ac.bc = ab {}^{2} - (ac {}^{} - ce) {}^{2} \\ 2ac.bc = ab {}^{2} - ac {}^{2} + 2ac.ce - ce {}^{2} \\ 2ac.bc = ab {}^{2} - ac {}^{2} - cb {}^{2} + 2ac.ce \\ but \: ab {}^{2} - ac {}^{2} - cb {}^{2} = 0 \\ 2ac.bc = 2ac.ce \\ bc = ce \\ which \: is \: true[/tex]

Tickets for a concert were \$5$5dollar sign, 5 for each child and \$8$8dollar sign, 8 for each adult.

Answers

Answer:

What exactly is the question

Step-by-step explanation:

There's no clear question.

To study the population of consumer perceptions of new technology, sampling of the population is preferred over surveying the entire population because ______.

Answers

Because It is quicker and fast.

Sampling:

Sampling is a process used in statistical analysis in which a predetermined number of observations are taken from a larger population. The methodology used to sample from a larger population depends on the type of analysis being performed, but it may include simple random sampling or systematic sampling.

Sampling is the selection of a subset of the population of interest in a research study. In the vast majority of research endeavors, the participation of an entire population of interest is not possible, so a smaller group is relied upon for data collection.

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Question 4 of 10
What can you say about the end behavior of the function f(x)--4x+6x²-52?
A. The leading coefficient is positive so the left end of the graph
goes down.
B. f(x) is an even function so both ends of the graph go in the same
direction.
C. The leading coefficient is positive so the left end of the graph
goes up.
D. f(x) is an even function so both ends of the graph go in opposite
directions.

Answers

The end behavior of the Polynomial f(x) = -4x⁶ + 6x² - 52 is;

B. f(x) is an even function so both ends of the graph go in the same

direction

What is the end behavior of the Polynomial?

The end behavior of a polynomial function is the behavior of the graph of f(x) as x approaches positive infinity or negative infinity.

Now, we are given the polynomial;

f(x) = -4x⁶ + 6x² - 52

Let us first test if the polynomial is even;

f(1) = -4(1)⁶ + 6(1)² - 52

f(1) = -50

Similarly;

f(-1) = -4(-1)⁶ + 6(-1)² - 52

f(-1) = -50

Since f(1) = f(-1), we can say that both ends of the graph go in opposite

directions.

Lastly, the leading coefficient is negative because it is -4 and as such it means that the left end goes down.

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In the diagram below, ABC ~ DEC. What is the value of x?A. 2B. 3.5C. 2.5D. 3 Find the length of the segment indicated. THE MArket for lemon has 10 Potential consumers each having an individual demand curve P= 101-10Qi on where- P as price in dollars per cup and Qi as the numbers of cups demanded per week by the ith consumer, fand the market demand curve using algebra. Draw an individual demand curve & the market demand curve. what is the quantity demanded by each consumer and the market as a whole when lemon is priced at p= $1/ cup LLCs do have to submit articles of organization and an operating agreement, but do not have to: Multiple select question. keep minutes file written resolutions pay self-employment taxes hold annual meetings Construct a right angled traiangle ,choosing whole numbers of centimeters for the lengths of the two shorter sides, such that the hypotenuse will be 65 long.Check the accuracy of your drawing by measuring the hypotrnuse and by calculating 65. Please give me a correct answer. Evaluate each expression for the given values of the variables: 4|a|+8-a, if a =-2 For each of the following equivalence relations, describe the corre-sponding partition. Your description of each partition should have no redundancy,and should not refer to the name of the relation. please help me i included the images of the questions, ill give brainliest A hydrogen bond can occur between:A. Two hydrogen atoms on different molecules.B. Two oxygen atom surrounded by hydrogens.C. The two hydrogen atoms on a water molecule.D. A hydrogen from one molecule and an oxygen from another molecule. The graph of the function f(x) = (x - 3)(x + 1) is shown.Ty-10-8-61086-68-10-610XWhich describes all of the values for which the graph ispositive and decreasing?O all real values of x where x < -1O all real values of x where x < 1O all real values of x where 1O all real values of x where x > 3 You select one red marble from the full bag in exercise 20. what is the probability that the next marble you select will be green without replacement of the first marble? Chapter 10 Standard Costs and the Balanced Scorecard EXERCISE 10-3 Direct Materials Variances [LO2] Refer to the data in Exercise 10-6. Assume that instead of producing 4,000 units during the month, the company produced only 3,000 units, using 14,750 pounds of material. (The rest of the material purchased remained in raw materials inventory.) Required: Compute the direct materials price and quantity variances for the month. Above the tropopause is the layer which starts between 6.2 miles to 8.1 miles (10-13 km), depending on the latitude, and is made up primarily of ozone, which is called the __________ Jennifer Lopez and Ben Affleck tied the knot at a low-key ceremony in..A BostonB Aspen, ColoradoLas VegasC Problem drinking and drug use is part of the lifestyle of many young adults. In a longitudinal study of 33,000 people, what was the typical course of these behaviors The yoruba religion:________A. Was appreciated and protected by european colonizers. B. Did not mix with other religions. C. Has many similarities with buddhism. D. Exists in west africa Are the triangles similar? If so, state the similarity and the postulate or theorem that justifies your answer. Write a testable question that could be used to further investigate the topic of using the fossil record to identify changes in life on earth. -275+156-(-293)-157 = 17ME PUEDEN DAR EL PROCEDIMIENTO PLIS Tom has 7 hamsters. If each hamster weighs 11 pounds, how much weight is there in total?