pleasee help mee

12sin(x)-5cos(x)=6,5​

Answers

Answer 1

We turn -5,12 into polar coordinates.  It's a Pythagorean Triple so

r = 13   Ф=arctan(-12/5) + 180°   ( in the second quadrant )

so -5 = 13 cos Ф, 12 = 13 sin Ф

12 sin x - 5 cos x = 6.5

13 sinФ sin x + 13 cos Ф cos x = 6.5  

13 cos(x - Ф) = 6.5

cos(x - Ф) = 1/2

cos(x - Ф) = cos 60°

x - Ф = ± 60° + 360° k     integer k

x = Ф ± 60° + 360° k  

x = 180° + arctan(-12/5) ± 60° + 360° k  

That's the exact answer;

x ≈  180° - 67.38° ± 60° + 360° k  

x ≈  122.62° ± 60° + 360° k  

x ≈  { 62.62°, 182.62°} + 360° k,  integer k


Related Questions

Simplify the expression x^3+125/x+5 and then evaluate the resulting expression of x=-5

Answers

Answer:

[tex]-145[/tex]

Step-by-step explanation:

Step 1:  Set x to -5

[tex]x^3+125/x+5[/tex]

[tex](-5)^3 + 125/-5 + 5[/tex]

[tex]-125 - 25 + 5[/tex]

[tex]-145[/tex]

Answer:  [tex]-145[/tex]

Dante bought a new graduated cylinder for his chemistry class. It holds 662.7 milliliters of liquid. If the cylinder has a radius of 4.7 cm, then how tall is the cylinder? (Note: 1 milliliter is equal to 1 cubic centimeter)
A.
141 cm
B.
19,881 cm
C.
30 cm
D.
70.5 cm

Answers

Given:

Dante bought a new graduated cylinder for his chemistry class.

Volume of the cylinder = 662.7π milliliters of liquid

Converting to cubic centimeter, we get;

Volume of the cylinder = 662.7π cm³

Radius of the cylinder = 4.7 cm

We need to determine the height of the cylinder.

Height of the cylinder:

The height of the cylinder can be determined using the formula,

[tex]V=\pi r^2 h[/tex]

Substituting the values, we have;

[tex]662.7 \pi=\pi (4.7)^2h[/tex]

[tex]662.7 \pi=\pi (22.09)h[/tex]

Dividing both sides by 22.09π, we get;

[tex]30=h[/tex]

Therefore, the height of the cylinder is 30 cm.

Hence, Option C is the correct answer.

The calculated height of the graduated cylinder is approximately 30 cm, which is option C.

To determine how tall Dante's graduated cylinder is, given it holds 662.7π milliliters (mL) of liquid, we should use the formula for the volume of a cylinder, V = πr²h, where 'V' is the volume, 'r' is the radius, and 'h' is the height.

Since 1 milliliter is equivalent to 1 cubic centimeter (cm³), we have V = 662.7π cm³, and the radius 'r' is given as 4.7 cm. Inserting these values into the formula and solving for 'h' gives us:

V = πr²h

662.7π cm³ = π × (4.7 cm)² × h

662.7π cm³ = π × (22.09 cm²) × h

662.7π cm³ = 22.09π × h

h = 662.7 cm³ /22.09

h ≈ 30cm

Therefore, the height of the cylinder is approximately option c. 30 cm.

The above question is incomplete, the complete question is:

Dante bought a new graduated cylinder for his chemistry class. It holds 662.7π milliliters of liquid. If the cylinder has a radius of 4.7 cm, then how tall is the cylinder? (Note: 1 milliliter is equal to 1 cubic centimeter)

A.

141 cm

B.

19,881 cm

C.

30 cm

D.

70.5 cm

There are 28 seats in the front row of a theater. Each successive row contains
two more seats than the previous row. If there are 24 rows, how many seats are in the last row of the theater?

Answers

Answer:

28+2*(24-1)= 74

Answer: 74

Step-by-step explanation:

y = 2x + 1
y = -x + 4

Answers

2y = -2x + 8

3y = 9

y = 3

3 = 2x + 1

2x = 2

x = 1

Answer

x = 1

y = 3

Hope this helps :)

Rewrite as a simplified fraction.
0.2 = ?

Answers

Answer:

1/5

Step-by-step explanation:

When changing a decimal to a fraction, think of the decimal "out of 1." In mathematical terms, "out of" generally means division.

For example on this question, think of 0.2 as 0.2 out of 1, which would be shown as 0.2/1

To more easily simplify this, multiply both the top and bottom by 10

0.2/1 x 10/10

You are able to do this because 10/10 is equal to 1 and multiplying by a number and  1  results in the same number.

Then you get  2 /10 . Both  2  and  10  are divisible by  2

2 /2  = 1 and  10 /2  = 5

So the final answer is 1/5

Use the multiplier method to decrease £262 by 39%
You must show your working.​

Answers

When you decrease £262 by 39% using the multiplier method, you get £159.82 as the result.

To decrease £262 by 39% using the multiplier method, follow these steps:

Convert the percentage decrease to a decimal:

39% = 0.39

Calculate the multiplier (the factor by which you'll multiply the original amount to decrease it):

Multiplier = 1 - Percentage Decrease (as a decimal)

Multiplier = 1 - 0.39

Multiplier = 0.61

Multiply the original amount by the multiplier to find the decreased amount:

Decreased Amount = Original Amount × Multiplier

Decreased Amount = £262 × 0.61

Now, calculate the decreased amount:

Decreased Amount = £159.82

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The questions on a test consist of 10 multiple choices, 3 essays, and 9 free responses. If the questions are ordered randomly, what is the probability that the first question is a free response?
• Give your answer as a fraction

Answers

Answer:

[tex]\frac{9}{22}[/tex]

Step-by-step explanation:

add all qestions together 10+3+9=22

and put the number of free responces on top of the total number of qestions

[tex]\frac{9}{22\\}[/tex]

and you cant simplify it so its in its simplist form

The probability that the first question is a free response is 9/22.

Probability is used to determine how likely it is that an event would occur.  The chances that an event would happen 0 and 1. A value of 0 is attached to an event that does not occur and 1 if the event happens.

For example, if the probability that a football team plays a game. The probability that the team would win is 1 and the probability that the team would lose is 0.

The probability that the first question is a free response is the ratio of the number of free response to the total number of questions.

The probability that the first question is a free response = number of free responses / total number of questions

Number of free responses = 9

Total number of questions = 9 + 10 + 3 = 22

=9/22

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The following data show the number of items in different shoppers' baskets at the health food store:

5, 1, 4, 3, 2, 3, 3, 4, 3

The data have been organized into a dot plot, as shown below:

A dot plot with integers 1 to 5 is shown. It is labeled Items and titled Items in Baskets. There is 1 dot above 1, 2 dots above 2, 4 dots above 3, 2 dots above 4, and 1 dot above 5.

For which number are the data plotted incorrectly? (2 points)

Answers

Answer:

There is two dots above 2 if this stays correct then 2 dots above 4 is incorrect.

Step-by-step explanation:

As there is only  1 ( 2 dot ) there should not be two dots above 2.

(2+76+1+9)+4-3x9
Hi I’m doing homework right now and I don’t really get order of operations.

Answers

Answer:

65

Step-by-step explanation:

You should follow the PEMDAS rule. You first solve what is in the parenthesis, followed by the multiplication and division, then addition or subtraction. However depending on your equation you can switch the order of addition and subtraction

Answer:

65

Step-by-step explanation:

(2+76+1+9)+4-3x9

Parentheses first

(2+76+1+9)

88

Replace it in the equation

88+4-3x9

The exponents (we dont have any)

The multiply and divide

88+4-27

Then add and subtract

65

Solve the equation.
5x + 8 - 3x = -10

x = -9

x = -1

x = 1

x = 9​

Answers

Answer: A, x= -9

I have a site that I will tell you about if you want

Answer:

a

Step-by-step explanation:

Plz help will give brainiest to the first person who answers this correctly plz helpppp!!!!

Answers

Its B please brainleiest

The graph below shows the relationship between the number of rides someone can ride and the total cost for three different amusement parks. Write and equation for Busters.

Answers

U have to show a picture of the graph

The correct interpretation is that the slope of the line is indeed 15, indicating that the cost of one admission ticket is $15, and point (1, 15) represents the unit rate.

The correct answer is option B.

The given graph illustrates the relationship between the number of people in a group and the cost of admission tickets. The statement correctly identifies that the slope of the line on this graph represents the unit rate of admission tickets.

The slope of a line on a graph signifies the rate of change between the two variables involved. In this context, the horizontal axis (x-axis) represents the number of people in a group, while the vertical axis (y-axis) represents the cost of admission tickets.

To compute the slope, you select two points on the line. The statement correctly utilizes the points (0, 0) and (1, 15) for this purpose. The slope formula, which is the change in y divided by the change in x, is applied as follows:

Slope = (y2 - y1) / (x2 - x1)

In this instance, x1 = 0, y1 = 0, x2 = 1, and y2 = 15. Substituting these values into the formula yields:

Slope = (15 - 0) / (1 - 0) = 15 / 1 = 15

This signifies that for each additional person in the group, the cost of admission tickets increases by $15. Consequently, $15 represents the cost of one admission ticket, and the point (1, 15) represents the unit rate.

Therefore, the conclusion that option B is the answer is accurate.

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The question probable may be:

The graph below shows the relationship between the number of people in a group and the total cost of admission tickets for a circus

please help me i don’t wanna get this wrong

Answers

Answer:

D (option 4)

Step-by-step explanation:

Difference of medians:

110 - 80 = 30

Ranges:

Johnston: 140 - 80 = 60

30 = ½(60)

Martinville: 120 - 40 = 80

30 = ⅜(80)

Artaud noticed that if he takes the opposite of his age and adds 38 he gets the number 27. How old is
Artaud?

Answers

Answer:

11

Step-by-step explanation:

Let his age be x then the opposite of his age is - x, then

- x + 38 = 27 ( subtract 38 from both sides )

- x = - 11 ( multiply both sides by - 1 )

x = 11

Thus he is 11 years old

6⁄5 × 1 3⁄4 × 2 3⁄2 =

Answers

Answer:

147/20 = 7,35

Step-by-step explanation:

6/5 × 7/4 × 7/2 = 3/5 × 7/4 × 7 = 147/20 = 7,35

Given the system of equations y = 6x - 10 and 2x + 3y = 10, is the point (2,2) a solution?

Answers

Answer:

Step-by-step explanation:

hello :

y = 6x - 10 (*)

2x + 3y = 10...(**)

by (*) put this value of y into (**) : 2x+3(6x-10)=10

2x+18x-30 = 10

20x=40  so :  x= 2  but  y = 6x - 10        y = 6(2)-10 =2

one solutions (2,2)

estimate the square root of 27 to the nearest whole number
show how you got the answer

Answers

Final answer:

To estimate the square root of 27, find the two nearest perfect squares which are 25 (5 squared) and 36 (6 squared). Since 27 is closer to 25, the square root of 27 is estimated to be 5.

Explanation:

To estimate the square root of 27 to the nearest whole number, we should look for two consecutive perfect squares between which 27 lies. The perfect squares closest to 27 are 25 (which is 5 squared) and 36 (which is 6 squared). The square root of 25 is 5 and the square root of 36 is 6. Since 27 is closer to 25 than to 36, we estimate that the square root of 27 is closer to 5. But, because 27 is more than 25, we know it must be slightly greater than 5, so the nearest whole number would be 5.

answer to be named brainliest get a thank you and a 5 star vote

Meagan was given 20 math problems and she has completed 14 of them. What percentage of the problems does she have left to do?
Question 5 options:


3%


30%


70%


7%

Answers

Answer:

30%

Step-by-step explanation:

Meagan completed 14/20 math problems. 14÷20 is 0.7

So she completed 70% of those math problems. The question is How many does she have left?

So she has 30% left to complete.

5!·4! is equivalent to:

Answers

Answer:

20!

Step-by-step explanation:

Answer:

2880 or 20!

Step-by-step explanation:

Whenever you have a number with a (!) after it, it means that the number is in factorial. So if you have a equation like 3!, it would be equal to 3·2·1. So in that case—

5! = 1·2·3·4·5

We can multiply this sequence of numbers simply.

1·2·3·4·5=120

Now, since we have the first factorial, we move on to the second.

4!=1·2·3·4

Again, we can multiply this sequence simply.

1·2·3·4=24

Now we move on to the final step. We have factoriazed the numbers, so we can substitute those in the equation.

120·24

Now we can finally multiply these 2 numbers to get your answer.

120·24=2880

That is the evaluation.

If you want to simplify the expression, multiply the numbers.

4!·5!=20!

The Deep Creek State Forest is a 380-acre state forest located 11 miles north of St. Augustine, Florida. The cottontail rabbit population in this forest grows at the rate of 5% monthly. If there are 175 rabbits in forest in September, find how many rabbits should be expected by next September. Use the formula: y=175(2.7)0.05t y = 175 ( 2 . 7 ) 0 . 05 t . Round your answer to the nearest whole number. The cottontail rabbit population next September is expected to be rabbits. (Round your answer to the nearest whole number)

Answers

Answer:

By next September, the estimated population would be 284 cottontail rabbits

Step-by-step explanation:

The formula that express the growth of the rabbits is

Y = 175(2.7)0.05t

Y = number of rabbits

Where t = time in months.

The growth of the rabbits in 12 months would be. Since from one September to another equal 1 year which is 12 months.

Y = 175(2.7)0.05(12)

Y = 283.5 = 284 rabbits

The estimated population of cottontail rabbits by next September is 284 rabbits

A line passes through the point

Answers

Answer:

Step-by-step explanation:

y + 20 = 3(x + 4)

y + 20 = 3x + 12

y = 3x - 8

answer is b

A right pyramid with a regular hexagon base has a

base edge length of 4 ft and a height of 10 ft.

WY represents the height

If the area of an equilateral triangle with sides of 4 ft is

4/3 square feet, then the area of the regular hexagon

base is

6 3 square feet.

The volume is

vs

Answers

Answer:

Height, 24, 80, and cubic feet

Step-by-step explanation:

I just did this on edge-unity and it gave me that.

Area of the regular hexagon base is 24√3 square feet and the volume of the same is 80√3 cube feet.

What is Area?

Area of a two dimensional shape is the total region which is bounded by the object's shape.

Given that,

The base of a right pyramid is regular hexagon.

Edge length of regular hexagon = 4 feet

Area of equilateral triangle with sides 4 feet = 4√3 square feet

A regular hexagon can be divided in to 6 equilateral triangles.

Area of the base of the pyramid = 6 × area of an equilateral triangle

                                                     = 6 × 4√3

                                                     = 24√3 square feet

The volume of a hexagonal pyramid = [tex]\frac{\sqrt{3} }{2}[/tex] b² h

where h is the height and b is the edge length of the base.

Height of the pyramid = 10 feet and b = 4 feet

Volume = [tex]\frac{\sqrt{3} }{2}[/tex] 4² × 10 = 80√3 cube feet

Hence the area of the base is 24√3 square feet and volume is 80√3 cube feet.

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If a triangle has one angle that measures 62.5o and another angle that measures 77o , then what is the measurement of the last angle?

Answers

Answer:

40.5 degrees

Step-by-step explanation:

A triangle's angles all add up to 180 degrees, so to solve this all you need to do is add the two numbers you have and subtract them from 180.

62.5+77+x=180

139.5+x=180

-139.5     -139.5

x=40.5

To find the measurement of the last angle in a triangle, subtract the sum of the known angle measurements from 180 degrees. Given angles of 62.5° and 77°, the measurement of the last angle is 40.5°.

The question involves finding the measurement of the last angle in a triangle given the measurements of the other two angles. In Euclidean geometry, it is established that the sum of the angles in a triangle equals 180 degrees. Given that one angle measures 62.5° and another measures 77°, we can find the last angle by subtracting the sum of these two angles from 180 degrees.

Step 1: Add the measurements of the two known angles: 62.5° + 77° = 139.5°.

Step 2: Subtract this sum from 180°: 180° - 139.5° = 40.5°.

Therefore, the measurement of the last angle in the triangle is 40.5°.

how to determine the rate of change by looking at graph?

Answers

You can do it two ways. Personally I like to look at the rise over run. If it is a linear equation, count how many right then how many up. If it’s constant, you know the rate of change by doing y/x

On a circular playground, the distance from its center to the edge of the playground is 37 feet. What is the approximate circumference of the playground? (Use 3.14 for .)
A.
17,194.64 ft
B.
4,298.66 ft
C.
116.18 ft
D.
232.36 ft

Answers

Step-by-step explanation: Its D.

Circumference equals 2 * pi * radius. Your radius is 37 feet. So 2*2.14*37

and that equals 232.36

Final answer:

The circumference of a circular playground with a radius of 37 feet, using 3.14 for pi, is approximately 232.36 feet. The correct answer is option D.

Explanation:

To calculate the circumference of a circular playground, we can use the formula C = 2πr, where π (pi) is approximately 3.14 and r is the radius of the playground. In this case, the radius is given as 37 feet.

Substituting the values, we get:

C = 2 × 3.14 × 37

C = 2 × 3.14 × 37

C = 6.28 × 37

C ≈ 232.36 feet

Therefore, the approximate circumference of the playground is 232.36 feet.

if f(x) = -x2 + 4x - 9 and g(x) = x - 8, find g(f(-1))

Answers

Answer:

-22

Step-by-step explanation:

f(x) = -x2 + 4x - 9

g(x) = x - 8,

g(f(-1))

First find f(-1)

f(-1) = - (-1)^2 + 4(-1) - 9 = -1 -4-9 = -14

The find g(-14)

g(-14) = -14-8 = -22

At boarding school, students spend 1/4 of their time eating and sleeping, 3/5 of their time in class, and 1'12 studying. The rest of the time is considered free time, which the student can spend doing activities of their own choosing. What fraction is considered free time?

Answers

Answer:

1/15 of their time is free time.

Step-by-step explanation:

To find the answer to this 2-step problem, we have to add all the fractions up, then find how much of that time is not part of the fraction.

So to add all the fractions, you have the equation:

1/4 + 3/5 + 1/12

The first thing we have to do is to find a common denominator.

4, 5, and 12 are each able to multiply into 60.

So we can make the equation now with a common denominator.

15/60+36/60+5/60=56/60.

We now can simplfy this.

56/60=14/15

Now that we know how long it is to do all the other activities, it tells us that the rest of the time is free time. To find the rest of the time, we have to do:

1-14/15=1/15

So 1/15 of their time is free time.

The total time spent is 14/15 and the free time is 1/15 if students spend 1/4 of their time eating and sleeping, 3/5 of their time in class, and 1'12 studying.

What is a fraction?

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

We have:

At boarding school, students spend 1/4 of their time eating and sleeping, 3/5 of their time in class, and 1/12 studying

Add all the fractions:

= 1/4 + 3/5 + 1/12

= 14/15

Free time = 1 - 14/15

= 1/15

Thus, the total time spent is 14/15 and the free time is 1/15 if students spend 1/4 of their time eating and sleeping, 3/5 of their time in class, and 1'12 studying.

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Not yet answered Marked out of 100 Flag question
Find the volume of a rectangular prism 3 inches high, 14 inches wide, and 9
inches long,

Answers

V=378
V=l•w•h
V=9•14•3

Raven is reading at half past 7. Her dad sets a timer for 45 minutes so she knows when
she needs to go to bed.
What time does she go to bed?

Answers

She goes to bed at 8:15

Answer:8:15

Step-by-step explanation: Because half past 7 means 7:30 and 7:30 + 45 minutes = 8:15.

What is the sum of (6p^2+3) and (6-5p^3+3p^2)

Answers

the sum of (6p^2+3) and (6-5p^3+3p^2) is

[tex](6p^2+3)+(6-5p^3+3p^2)= 6p^2+3+6-5p^3+3p^2=-5p^3+9p^2+9[/tex]

/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\

P.S. Hello from Russia :^)

\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/

Answer:

9 P ^ 2 + 9 - 5 p ^ 3

Step-by-step explanation:

6p^ 2 + 3 + 6 - 5p ^ 3 + 3p ^ 2

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Build a cladogram worksheet The parachuting figure at the start of the chapter "Beast from Air" is a reminder of...A) the war being fought by adults, the conflict that brought the boys to the islandB)the friendship developing between Ralph and Jack.C)the fear that governs Piggy's existence.D)Jack's insistence that hunting is the most important activity on the island. According to the textbook, when arranging cots or cribs for naptime, it's important to space children at leastfeet away from each other.A. twoB. threeC. one and a halfD. one what is 1/6 more than 2/6 Trust busting laws were focused on big companies that were A. On the verge of going bankrupt B. Treating competitors fairly C. Weak and struggling to survive D. Using unfair business practices Points A, B, and C are midpoints of the sides of righttriangle DEFWhich statements are true? Select three options. (Theformula for the area of a triangle is A = bh.)BC = 6 cmAC = 5 cmBA = 4 cmDE = 10 cmFD = 6 cmFE = 8 cmThe perimeter of triangle ABC = 12 cm.The area of triangle ABC isthe area of triangle DEF. The Indian Ocean is bordered by Asia, Africa and Australia. The Indian Ocean contains important trade routes for oil and has many major port cities. A port city is a city located on the coast where ships dock and transfer people and cargo to and from land. A few of the port cities on the Indian Ocean include: Singapore, Mumbai (India), Aden (Yemen), Durban (South Africa), Jakarta (Indonesia) and Muscat (Oman).The Indian Ocean brings powerful winds, called monsoons, to India and parts of Southeast Asia. These winds change direction with the seasons. Summer monsoons carry heavy rainfall and warm, moist air from the southwest Indian Ocean toward India, Sri Lanka, Bangladesh, Myanmar and other nearby nations. Farmers rely on the rain during monsoon season to help their crops grow. Winter monsoons blow in from the northeast.Which of these would not be an effect of summer monsoons?Aflooding in the coastal regions of BangladeshBroofs torn off homes in Sri LankaCa good rice harvest in IndiaDpeople in Thailand wearing warm, heavy coats When calcium carbonate is added to hydrochloric acid, calcium chloride, carbon dioxide, and water are produced. CaCO3(s)+2HCl(aq)CaCl2(aq)+H2O(l)+CO2(g) How many grams of calcium chloride will be produced when 25.0 g of calcium carbonate is combined with 14.0 g of hydrochloric acid? mass of CaCl2 : Which one of these is NOT an example using facilitated diffusion? Which defines "obtuse" as it is used in the first sentence?A)Broad and far-reachingB)Highly developed and penetratingNaturally occurring with regularityD)Annoyingly insensitive or slow to understand A typical stop sign is in the shape of a regular octagon. The length of a side of a stop sign is 38.7 centimeters, and the radius is 50.6 centimeters. Calculate the area of the stop sign to the nearest square centimeter. BRAINLIEST!!!!5. Graph the given relation or equation and find the domain and range. Then determine whether the relation or equation is a function.(3.9, 5.9), (1.1, 5.9), (4.1, 3.9), (4.1, 2.1) Henry wants to double his cake recipe that uses 2 cup 10tbsp of flour. How much flower will he need? Unscramble the french phrases:a.la gographie naime svre prof parce pas est que l Je tropb. de beaucoup avons-nous que parce lhistoire pas naime Je devoirs Janell has a 10 inch by 12 inch photograph. She wants to scan the photograph Think about a person at the equator, a person at the North Pole, and a person somewhere in between. Each person points toward the sun. Describe where in the sky they are pointing. The m in mRNA stands for messenger. Is this an appropriate title for mRNA? Work out the equation of the line which passes through the point (1,-2)and is parallel to the point y=x+4 The driver of a car slams on the brakes, causing the car toslow down at a rate of 17ft/s2 as the car skids 175ft to astop.How long does the car take to stop?What was the car's initial speed? Through a pattern of marriage, divorce, and remarriage, some people practice __________a succession of marriages in which a person has several spouses over a lifetime but is legally married to only one person at a time.