4sin theta + 3 square root of 3 = square root of 3

Answers

Answer 1
Solving for θ:

4sinθ + 3√3 = √3

First subtract 3√3 from both sides:

4sinθ = -2√3

Now, divide by 4:

sinθ = (-2√3)/4
sinθ = -√3/2

Using the unit circle we know that sin of -√3/2 is 240° or 4/3π and 300° or 5/3π

Hope this helps!



Related Questions

. If the interest rate on a savings account is 0.018%, approximately how much money do you need to keep in this account for 1 year to earn enough interest to cover a single $9.99 Below-Minimum-Balance Fee?

Answers

In this question, the interest rate is 0.018% and you need to have $9.99 interest. That mean, you need to divide the target interest value with the interest rate. The calculation would be:

interest = bank account * interest rate
$9.99 = bank account * 0.018%
bank account = $9.99/ 0.018%   (don't forget the % mean 1/100)
bank account = $55,500

Assuming that the $9.99 value is $9.9999... then the answer would be $55,555
Given:
r = 0.018% = 0.00018
t = 1 year
A = $9.99, reqwuired minimum balance

Assume that
n = 365, daily compounding

Let P = the amount at the beginning of the year.
Then
P(1 + 0.00018/365)³⁶⁵ = 9.99
1.00018P = 9.99
P = $9.988 ≈ $9.99

Answer: $9.99

Which algebraic expression represents the phrase “two times the quantity of a number minus 12”?

Answers

2x-12 represents "two times the quantity of a number minus 12"

the answer is 2(y-12)

Joel earns 1,700 per month if he spends 425 on rent what percent of his income dose he spend on rent?

Answers

4% because you divide 1700 by 425
Joel's Total earning per month = 1,700

Joel's total rent per month = 425

So, the percentage of Joel's total rent on Joel's total earning would be:

425/1700 x 100%

= 25 %

which transformation of the function f(x) is the rigid motion: 2f(x)+3, f(x/2)+1, 2f(x/2), or f(x-1/2)+3

Answers

Answer is choice D. The other choices involve dilations, or scalings, which basically make the graph taller or flatter depending on what the scale factor is. In the case of f(x-1/2)+3, we shift f(x) to the right 1/2 a unit and up 3. 

The transformation of a function may lead to the rigid motion based on what type of transformation you applied in it. Thus, option D is correct.

We need to check the transformation that is the rigid motion for the function f(x).

Now, the different transformation is given below:

2f(x)+3, f(x/2)+1, 2f(x/2), f(x-1/2)+3

Let us take the transformations of the function from the top to the bottom.

(1) In the first transformation, we changed our function f(x) to 2f(x)+3.

When we used multiplication of division operations towards any functions then it will change the amplitude of the function, and hence it is not a rigid motion.

(2) In the second transformation, we changed our function f(x) to f(x/2)+1.

When we used multiplication of division operations towards any functions then it will change the amplitude of the function, and hence it is not a rigid motion.

(3) In the third transformation, we changed our function f(x) to 2f(x/2).

When we used multiplication of division operations towards any functions then it will change the amplitude of the function, and hence it is not a rigid motion.

(4) In the fourth transformation, we changed our function f(x) to f(x-1/2)+3.

When we used multiplication of division operations towards any functions then it will change the amplitude of the function, and when we use addition or subtraction towards any function then the amplitude remains constant. Hence, it is a rigid motion.

Thus, option D is correct.

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1.What is the elapsed time between 11:50 a.m. and 4:05 p.m.?

a.4 hours and 45 minutes
b.15 hours and 15 minutes
c.5 hours and 15 minutes
d.4 hours and 15 minutes

2.Which pair of times has the longest elapsed time between the two times?

a.1:05 to 6:10
b.10:15 a.m. to 3:25 p.m.
c.2:45 to 7:45
d.9:10 p.m. to 1:55 a.m.

3.If it is 12:50, what will the time be 5 hours and 20 minutes later?

a.5:30
b.5:50
c.6:10
d.6:50

4.What would the temperature be on an autumn day?

a.50°F
b.32°C
c.100°F
d.0°C

5.Convert 122°C to Fahrenheit.

a.139.6°F
b.251.6°F
c.212°F
d.218.4°F

6.Convert 124°F to Celsius.

a.50.6°C
b.85.8°F
c.98.6°C
d.165.6°C

7.What temperature is shown on the thermometer?

200°F
90°F
180°F
80°C

8.mark all that apply Which temperatures are below 108°C?

a.230°F
b.212°F
c.225°F
d.228°F

Answers

1) D.
2) I’d need the AM or PM to tell unless it’s world clock.
3) C.
4) A.
5) B.
6) A.
7) Can’t see the thermometer.
8) B. and C.

What is 4/5 - 2/3?
Someone please answer.
I have to write up to 20 characters so yh.

Answers

Change 4/5 - 2/3 so that the denominator is th same. Let’s try 15.
So, 12/15 - 10/15.
Then, subtract to get 2/15.

Hope it helped :)
this is the answer to your question 2/15

A science fair poster is a rectangle 3 feet long and 2 feet wide. What is the area of the poster in square inches? Be sure to include the correct unit in your answer.

Answers

Area = length · width
Area = 3ft · 2ft
Area = 6ft²

hope this helps!

Marlon used 3 kilograms of almonds to make 9 batches of snack mix. How many kilograms of almonds, on average, were in each batch

Answers

3 kilograms / 9 batches = 3/9 = 1/3 kilograms were in each batch

Hope this helps!


What is the product in lowest terms?
5/6 x -8/15 ( / means fractions)

1.-8/9
2.-4/9
3. -1/3
4. -1/7
Do not answer if aren’t sure.

Answers

The answer is B. 4/9. Why? 

1) Do multiplication across. 5 * -8 / 6 * 15.

2) Solve numerators. 5 * -8 = -40.

3) Solve denominators. 90.

Now we have -40/90.

4) Simplify. -4/9

Hope this helps! ☺♥

find the length of x

Answers

To solve you insert into proportions, then cross-multiply and simplify.
But first, add 5 and 6 to get the full side length of the bigger triangle

[tex] \frac{x}{5} x \frac{5.5}{11} [/tex]

11x = 27.5
x = 2.5

Hope this helps!

In a survey about favorite breakfast foods, 3/8 of those surveyed chose cereal , 0.125 chose yogurt, 0.1875 chose fruit, 5/8 chose toast which got the least number of votes.

Answers

yogurt i hope im right :)
Final answer:

The given question is a comparison of fractions and decimals to determine the smallest number. When all values are converted to decimals for easier comparison, we find that the smallest number is 0.125, which represents the people who chose yogurt as a breakfast food, hence, yogurt got the least number of votes.

Explanation:

The given values in the problem represent different proportions of people's choices for breakfast. The question wants to find the breakfast food with the least number of votes. To do this, we need to understand the numerical values. All are fractions and decimal numbers that represent parts of 1 whole (or 100 percent). Here, the numbers are 3/8 for cereal, 0.125 for yogurt, 0.1875 for fruit, and 5/8 for toast. Converting all to either decimals or fractions for comparison, we get 0.375 for cereal, 0.125 for yogurt, 0.1875 for fruit, and 0.625 for toast.

Comparing these numbers, 0.125 (yogurt) is the smallest number. Therefore, among the given choices, the least number of people chose yogurt for their breakfast food.

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Adam says that the number 4 has four factors. Explain why this statement is incorrect.

Answers

4 only has three factors 1,2,4. 4 times 1 and 2 times . No other possible combinations making Adam wrong.

Answer:

Sample response: The number 4 only has three factors: 1, 2, and 4. Adam probably counted the factor 2 twice.

Step-by-step explanation:

Identify the corresponding word problem given the equation: x + 12.50 = 55.75 A) For mowing the neighbor's yard, Jessy was paid $12.50. If he now has $55.75, how much money did he have before? B) For mowing the neighbor's yard, Jessy was paid $55.75. If he now has $12.50, how much money did he have before? C) For mowing the neighbor's yard, Jessy was paid $43.25. If he now has $55.75, how much money did he have before? D) For mowing the neighbor's yard, Jessy was paid $12.50. If he now has $68.25, how much money did he have before?

Answers

The answer is A.  because for you to find the answer you have to subtract so it would be 55.75-12.5=43.25

Option A is correct.  For mowing the neighbor's yard, Jessy was paid $12.50. If he now has $55.75, how much money did he have before?

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The given equation is

x + 12.50 = 55.75

x=55.75-12.5

x=43.25

We need to find among the given options which corresponds the given equation

A) For mowing the neighbor's yard, Jessy was paid $12.50. If he now has $55.75, how much money did he have before?

B) For mowing the neighbor's yard, Jessy was paid $55.75. If he now has $12.50, how much money did he have before?

C) For mowing the neighbor's yard, Jessy was paid $43.25. If he now has $55.75, how much money did he have before?

D) For mowing the neighbor's yard, Jessy was paid $12.50. If he now has $68.25, how much money did he have before?

In these options, option A corresponds the equation x + 12.50 = 55.75

The amount Jessy has now is 55.75, 12.75 is paid, x is the money before jessy have.

Hence, Option A is correct.  For mowing the neighbor's yard, Jessy was paid $12.50. If he now has $55.75, how much money did he have before?

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What do you get when you cross a weeping willow with a UFO

Answers

A crying saucer!
hahaha
a crying saucer! lol how did i know that??

Write the solution to the inequality in set - builder notation:
5r + 8 < 63

Answers

First, the inequality needs to be solved. The first step is to subtract 8 from both sides of the inequality, leading to 5r < 55. Dividing 5 out from both sides, this will leave r < 11. Next, to form a set notation, the inequality is written in such form: {r | r < 11}.

Your cousin is taking the train to Washington to visit her parents. She has at most $15.00 to spend on snacks and reading materials. Granola bars cost $1.15 each, and magazines cost $1.25. If your cousin buys the same number of granola bars and magazines, how many can she buy?

Answers

I think 6 of each. I divided 15 by 2, got $7.50. You can buy exactly six magazines w that, and 6.5 granola bars. So six of each.

A photographer uses a light meter to measure the intensity of light from a flash bulb. The intensity for the flash bulb,I, in lux, is a function of the distance from the light, d, in meters, and can be represented by I(d)=10/d^2, d>0 determine the approximate instantaneos rate of change in the intensity of light at exactly 3m from flash bulb. determine the approximate instantaneos rate of change in the intensity of light at exactly 3m from flash bulb. 

Answers

Final answer:

The approximate instantaneous rate of change in the intensity of light at exactly 3m from the flash bulb is -20/27 lux per meter.

Explanation:

The photographer uses a light meter to measure the intensity of light from a flash bulb. The intensity of the flash bulb, I, in lux, can be represented by the function I(d) = 10/d^2, where d is the distance from the light in meters.

To determine the approximate instantaneous rate of change in the intensity of light at exactly 3m from the flash bulb, we need to find the derivative of the intensity function with respect to d. Taking the derivative, we get dI/dd = -20/d^3.

Substituting d = 3 into the derivative, we get dI/dd = -20/3^3 = -20/27.

Therefore, the approximate instantaneous rate of change in the intensity of light is -20/27 lux per meter at exactly 3m from the flash bulb.

Final answer:

The approximate instantaneous rate of change in the intensity of light at exactly 3m from the flash bulb is approximately -0.741 lux/m.

Explanation:

To determine the instantaneous rate of change in the intensity of light at exactly 3m from the flash bulb, we need to find the derivative of the intensity function with respect to distance.

The intensity function is given as I(d) = 10/d^2, where d is the distance from the light in meters. To find the derivative, we can use the power rule for differentiation.

Taking the derivative of the intensity function gives us: dI/d(d) = -20/d^3.

At exactly 3 meters, the instantaneous rate of change in the intensity of light can be calculated by substituting d=3 into the derivative equation: dI/d(d) = -20/3^3 = -20/27. Therefore, the approximate instantaneous rate of change in the intensity of light at exactly 3m from the flash bulb is approximately -0.741 lux/m.

A satellite makes 4 revolutions of the earth in one day. How many revolutions would it make in 6 1/2 days?

Answers

26. 
1 day/24 hours, makes 4 revolutions. 
4 x 6 = 24, 
1/2 of 4 = 2.
24+2 = 26. 
26 revolutions, if my answer is wrong someone please correct me.

A satellite makes 26 revolutions of the earth in 6 1/2 days.

What is fraction?

"A number expressed as a quotient, in which a numerator is divided by a denominator. "

What is unitary method?

"It is a method of finding the value of a single unit, and based on that value we can find the required value."

For given question,

A satellite makes 4 revolutions of the earth in one day.

⇒ 1 day = 4 revolutions

We need to find the number of revolutions in 6 1/2 days.

We can write the fraction [tex]6 \frac{1}{2}[/tex] as,

[tex]6 \frac{1}{2}[/tex] days

= [tex]\frac{13}{2}[/tex] days

= 6.5 days

By unitary method, for 6.5 days the number of revolutions would be,

= 6.5 × 4

= 26

Therefore, a satellite makes 26 revolutions of the earth in 6 1/2 days.

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Please help. I don’t understand any of this.

Answers

If the two triangles are congruent (not just similar), then QS and TV would be equal.  Thus, 3v + 2 = 7v - 6.

Solving this equation for v:  4v = 8, and v = 2.

Then QS = 3(2) + 2, or 8, and TV should be the same:  7(2) - 6 = 8.

Answer:

If the two triangles are congruent (not just similar), then QS and TV would be equal.  Thus, 3v + 2 = 7v - 6.

Solving this equation for v:  4v = 8, and v = 2.

Then QS = 3(2) + 2, or 8, and TV should be the same:  7(2) - 6 = 8.

Step-by-step explanation:

What did Ranofer notice about the old mans hands ?

Answers

What is the question? Please be more specific!

Thanks!
There was a scars pictured as the name of thutra

Hope this helps:)

Assessment timer and count Assessment items Factor the expression. 24−18y Enter your answers in the boxes to complete the factored expression.

Answers

The answer is:  " 6(4 − 3y) " .
________________________________________________
Explanation:
_______________________________________________
Given:  " 24 − 18y " ;  Factor this expression ;

We can factor out a "6" ;  since "6" is the GCF (greatest common factor) among the 2 (TWO) terms:  "24" and "18y" ;
________________________________________________
Note:  With practice, the "GFC = 6" can be identified upon inspection; but here is a complete explanation:
________________________________________________
Given the 2 (TWO) terms; "24" and "18y";  we know that only one term has a "y", so we are looking for the GCF of "24" and 18:
________________________________________________
  18: 1, 2, 3, 6, 9, 18 .

  24: 1, 2, 3, 4, 6, 8, 12, 24 .

We look at the factors of EACH number—and can tell that "6" is the GCF among both "18" and "24" (and thus, among both "18y and 24" ).

So, to factor the expression:  "24 − 18y" ;

  We factor out a "6" ; to get our answer; which is:
______________________________________________
                         " 6(4 − 3y) " .
______________________________________________
 
6(4-3y) I think. I'm taking a quiz with this question right now.

When h has the value of 4 calculate 5h-3

Answers

5h - 3 = 17

First, substitute h for 4 and the equation becomes 5(4)-3
Then, use PEMDAS (order of operations) to answer.
5 x 4 = 20
20 - 3 = 17
5(4) - 3, 5 x 4 is 20 and 20 - 3 = 17

What is 160/3 in simplest form

Answers

No simple form but is 53.33333333 as a decimal.
Greetings!

You can't reduce 160/3 any further. However, you can convert it into a mixed number

Turn Into a Mixed Number:
160/3=53.333...
3*53=159
160-159=1

The Mixed Number would be:
[tex]53 \frac{1}{3} [/tex]

Hope this helps.
-Benjamin

Can y’all plz help me ignore the writing part on the side of it plz show me the steps or tell me

Answers

Hello.

The Manager has concluded that 2 out of 25 light bulbs are faulty.The table he created represents the ratio of bulbs checked and which ones were found faulty.
A way that he could verify that the table is correct is by simplifying each ratio. If each of them turn out to 2:25, then the conclusion is correct.

The best answer that matches this is answer choice "C.)" as it also defines our method of verifying the table's validity (just the order of the ratio is reversed, and that's fine as long as the variables are matching as well). We can further prove that this answer is correct by making ratios of our table and simplifying them;
100:8; divide both sides by 4.
25:2
500:40; divide both sides by 20.
25:2
2,000:160; divide both sides by 80.
25:2
This ratio is always the simplified answer.

Your answer is: "C.)"

I hope this helps!

Help,Cause homework is hard :/

Answers

Hey there!

In my opinion, yes, because there are many reasons for this answer. But one reason is that when you get older, you'll be using 3.14 more than 22/7 because you don't really use fractions anymore, you use decimals.

^^That's my opinion, you might have something different^^

Hope this helps!

Solve the equation
A+b - c =180 for C

Answers

a = 180
b = 180
c = 180

180+180-180 = 180

( C = 5b+200 ) this equation is used to find C, the total cost for painting a quantity of books (b) . What equation is equivanlent when solved for B in terms of C

Answers

Final answer:

To solve the equation C = 5b + 200 for b in terms of C, subtract 200 from both sides of the equation and then divide both sides by 5.

Explanation:

To solve the equation C = 5b + 200 for b in terms of C, we need to isolate the variable b. First, subtract 200 from both sides of the equation:

C - 200 = 5b

Next, divide both sides of the equation by 5:

b = (C - 200)/5

So, the equivalent equation when solved for b in terms of C is b = (C - 200)/5.

what is 1/10 of .1 thank you

Answers

0.1 = 1/10

1/10 of 1/10 is 1/100

1/100 = 0.01

0.01 is your answer

hope this helps 

Please help me with question, worth 15 points

Answers

Line 4 has the error it should be 12/6

The hot summer fair is coming to town! Admission to the fair costs 12.99 and each ride costs 1.75. You have 35 to spend at the fair including admission.

Answers

12 rides because your answer would be 12.5771428571 and you can't have .5771428571 as a ride. so you would round down. Brainliest answer? fine if not but that would be your answer. 12.99 as your y-intercept and 1.75 as your x

The correct answer is:

12 rides

Explanation:

You have $35 to spend.  Taking away the admission price, $12.99, we have

35-12.99 = $22.01 left.

Each ride costs $1.75.  This means you can ride

22.01/1.75 = 12.577 or 12 rides.  (This does not round up, as you would not have enough money to ride 13 rides.)

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