trigonometric equations

2sin(theta) + 3 = 4

Answers

Answer 1

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's solve for x ~

[tex]\qquad \sf  \dashrightarrow \:2 \sin(x) + 3 = 4[/tex]

[tex]\qquad \sf  \dashrightarrow \:2 \sin(x) = 4 - 3[/tex]

[tex]\qquad \sf  \dashrightarrow \:2 \sin(x) = 1[/tex]

[tex]\qquad \sf  \dashrightarrow \:\sin(x) = \frac{1}{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 30 \degree \: \: or \: \: \frac{\pi}{6} \: rad[/tex]

➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖


Related Questions

BRAINLIEST AND 100 POINTS!

The equation yˆ=−5.131x2+31.821x−3.333 approximates the number of people standing in line to catch a commuter train x hour after 5 a.m.

What is the best estimate for the number of people in line at 7 a.m.?

23

27

32

40

Answers

Answer:

The answer is 40. I'm 100% sure.

Answer:

D.40

Step-by-step explanation:

All changes saved 16. The Abdul family is comparing the costs of two different high-speed Internet services. With plan A, equipment installation is $199, and the monthly fee is $50. With plan B, the installation is $50, with a $90 monthly fee. The cost of Part A is given by f(x) = 50x + 199 and the cost of Part B is given by g(x) = 90x + 50, where x is the number of months of service.
Part A: Make two tables that you could use to graph the functions. Let x = 0, 1, 2, 3, 4, 5, and 6.
Part B: Graph both functions.
Part C: The Abduls plan on using the Internet service for one year. Based on cost, which plan would you recommend? Explain.​

Answers

For one year, plan B would be recommended, because it would be cheaper.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

The cost of plan A is given by f(x) = 50x + 199 and the cost of plan B is given by g(x) = 90x + 50

For one year, plan B would be recommended, because it would be cheaper.

Find out more on equation at: https://brainly.com/question/2972832

Answer: Plan A

Step-by-step explanation:

f(x) = 50x + 199 = A

g(x) = 90x + 50 = B

Plan A = (1,249) (2, 299) (3,349) (4,399) (5,449) (6,499)

Plan B = (1, 140) (2, 230) (3, 320) (4,410) (5, 500) (6, 590)

Plan A would be recommended because plan A you pay the least amount = 499 dollars over 6 months versus 590 dollars over 6 months with plan B.  

given determinant of a (a b c,d e f ,g h i) is -2 find determinant of ( g h i ,a b c ,d e f)​

Answers

ANSWER:-

-2

Step-by-step explanation:

(abc, def, ghi) is -2

At a student café, there are equal numbers of two types of customers with the following values. The café owner cannot distinguish between the two types of students because many students without early classes arrive early anyway (i.e., she cannot price-discriminate).
Students with Early Classes
Students without Early Classes
Coffee 73 63
Banana 53 103
The marginal cost of coffee is 5 and the marginal cost of a banana is 20.
The café owner is considering three pricing strategies:
1. Mixed bundling: Price bundle of coffee and a banana for 166, or just a coffee for 73.
2. Price separately: Offer coffee at 63, price a banana at 103.
3. Bundle only: Coffee and a banana for 126. Do not offer goods separately.
Assume that if the price of an item or bundle is no more than exactly equal to a student's willingness to pay, then the student will purchase the item or bundle.
For simplicity, assume there is just one student with an early class, and one student without an early class.
Price Strategy
Revenue from Pricing Strategy
Cost from Pricing Strategy
Profit from Pricing Strategy
1. Mixed Bundling
$
$
$
2. Price Separately
$
$
$
3. Bundle Only
$
$
$
Pricing strategy yields the highest profit for the café owner.

Answers

Based on the prices, the willingness to pay of the students and the costs, the profits will be:

Mixed bundling = 209.Price separately = 199.Bundle Only = 202.

The pricing strategy that yields the highest profit is the Mixed bundling strategy.

What is the profit from Mixed bundling?

First find the willingness to pay for both the students with early classes and those without.

Student with early classes:                     Students without early classes:

= 73 + 53                                                       = 63 + 103

= 126                                                             = 166

At a mixed bundling price of 166, only students without early classes will be able to afford the bundle as their willingness to pay is 166.

Student with early classes will only take the coffee at 73 because their willingness to pay of 126 is lower than the 166 bundle price.

Profit is:

= (Bundle price + Coffee price) - (Marginal cost of two coffees + Marginal cost of banana)

= (166 + 73) - (2 x 5 + 20)

= 209

What is the profit from pricing separately?

At separate only pricing students without early classes will be able to afford the both things at 166.

Student with early classes will only take the coffee at 63 because their willingness to pay of 126 won't allow them to take both items.

Profit:
= (63 + 63 + 103) - (2 x 5+ 20)

= 199

What is the profit from price separately?

At a bundle only price of 126, both the students with early classes and those without early classes will be able to afford the bundle as their willingness to pay, match the price.

Profit will be:
= (126 + 126) - (2 x 5 ) for coffee - (2 x 20) for bananas

= 202

In conclusion, the woman should go with the Mixed bundling as it gives the highest profit of 209.

Find out more on pricing strategies at https://brainly.com/question/7303679.

helphelphelphelphelphelphelphelphelphelphelphelphelphelphelp

Answers

It would be the first one

Answer:

Its mass or size.

The amount possessed by an object directly upon the square of the speed. It increases the kinetic energy.

If you want to be 99% confident of estimating the population mean to within a sampling error of 14 and the standard deviation is assumed to be 14, what sample size
is required?
The sample size required is
(Round up to the nearest integer.)
In
Help me solve this
View an example
Get more help
Clear all
Check answer

Answers

Answer:

16641

Step-by-step explanation:

Thank you!

Jayla just measured her pet snake and found out that it is 3.8 inches long, which is 52% longer than the last time Jayla measured. How long was the pet snake last time?

Answers

Let x be the original length.
x * (1+0.52) = 3.8
x * 1.52 = 3.8
x = 2.5 inches

Find the numbers whose difference is five and whose product is 266

Answers

Answer: 19 and 14

Step-by-step explanation:

19-14 = 5

19x14 =266

what is the parallelogram base b?​

Answers

Answer:

10

Step-by-step explanation:

The area if a parallelogram is given by the equation, Area = base * height

In this case, area = 200, and the actual height = 20

So, let's say the base is x

Plug these values in to the Area equation

200 = 20 * x

200 = 20x

Divide both sides by 20 to get x alone

200 / 20 = 20x / 20

10 = x

The base is 10

find rate

a)the interest of Re.1 of 1 month is 1 paisa.

b)the interest of re.1 of 1 month is 2 paisa​

Answers

Step-by-step explanation:

A.) Correct Answer: 12%

Given , Principle = ₹ 1 , Time = 1 month = ( 1 / 12 ) year and SI = 1 paisa = ₹ ( 1 / 100 )

As we know that ,

Rate =SI × 100Principal × Time

Rate =(1 ÷ 100) × 100= 12% p.a.1 × (1 ÷ 12)

B.) Correct Answer:

Answer:

See below ↓

Step-by-step explanation:

a) I = Prt

r = I/Ptr = 0.01/1x(1/12)r = 0.12r = 12%

b)

r = I/Ptr = 0.02/1x(1/12)r = 0.24r = 24%

Help anybody please help me

Answers

Answer:

3 units

Step-by-step explanation:

you count how many blocks they are from each other

a) Work out
41/7 + 1 1/2

Answers

Answer:

11 5/4

Step-by-step explanation:

make the denominator the same then add.the common factor of 2 and 7 is 14 so make all the denominator to 14 then u can add.thus having the answer

A snack bar weighs 61g, and 10% of the weight is apple. How many
grams of apple are in the snack bar?

Answers

Answer:

61×10/100

=610/100

=6.1 g

Answer:

6.1g

Step-by-step explanation:

Snack bar: 61g

Apple: 10% of 61g

10/100 = 0.1

0.1 * 61 = 6.1g

There are 6.1g of apple in the snack bar.

Hope this helps!

Find the measures of the interior angles?

Answers

Answer:

Angle C = 35

Step-by-step explanation:

Angles A and B are already given to you, so I will not be explaining how to find them. If you have any questions, let me know.

There are 2 ways to solve this problem; you can either use the sum of the interior angles or isosceles triangles.

Sum of Interior Angles

The interior angles of all triangles equal 180 degrees. We can use this information to create an equation.

First, set up the equation.[tex]110+35+x=180[/tex]Then, combine like terms.[tex]145+x=180[/tex]Next, subtract 145 from both sides[tex]x=35[/tex]

This means that angle C equals 35 degrees.

Isosceles Triangles

The image shows marks on 2 sides. These marks show that the sides are congruent. If a triangle has 2 congruent sides then it is isosceles. Isosceles always have 2 congruent angles as well. In addition, these congruent angles are always the angles opposite of the congruent sides.

In this case, the angles opposite of the congruent sides are angle A and angle C. Thus, angles A and C are congruent. If angle A is equal to 35, then angle C must also be 35.

3. In the accompanying diagram, a rectangular container with the dimensions 10 inches by 15 inches by 20 inches is to
be filled with water, using a cylindrical cup whose radius is 2 inches and whose height is 5 inches. What is the maximum
number of full cups of water that can be placed into the container without the water overflowing?

Answers

The maximum number of full cups of water that can be placed into the container without the water overflowing is 47 cups

How to calculate volume?

Volume of the container = 10 * 15 * 20 = 3000 in³

The volume of the cylinder is:

Volume of cylinder = π * radius² * height = π * 2² * 5 = 62.83 in³

Number of cups that can be placed in container = 3000 in³ / 62.83 in³ = 47.74

The maximum number of full cups of water that can be placed into the container without the water overflowing is 47 cups

Find out more on volume at: https://brainly.com/question/1972490

The area enclosed by the graphs of y = 1/x, y = 1, and x = 3 is rotated about the line y = -1. Find the volume and show steps.

Answers

Answer:

[tex]A=\pi\displaystyle\biggr[\frac{16}{3}-2\ln(|3|)\biggr]\approx9.8524[/tex]

Step-by-step explanation:

Use the Washer Method [tex]A=\pi\displaystyle \int\limits_{a}^{b}{\bigr[R(x)^2-r(x)^2\bigr] \, dx[/tex] where [tex]R(x)[/tex] is the outer radius and [tex]r(x)[/tex] is the inner radius.

If we sketch out the graph, we see that [tex]y=1[/tex] intersects points [tex](1,1)[/tex] and [tex](3,1)[/tex], which will be our bounds of integration.

Here, our outer radius will be [tex]R(x)=(-1-1)=-2[/tex] and our inner radius will be [tex]r(x)=-1-\frac{1}{x}[/tex].

Thus, we can compute the integral and find the volume:

[tex]A=\pi\displaystyle\int\limits^{3}_{1} {(-2)^2-\biggr(-1-\frac{1}{x}\biggr)^2 } \, dx\\ \\A=\pi\displaystyle\int\limits^{3}_{1} {4-\biggr(1+\frac{2}{x}+\frac{1}{x^2} \biggr) } \, dx\\\\A=\pi\displaystyle\int\limits^{3}_{1} {4-1-\frac{2}{x}-\frac{1}{x^2}} \, dx\\\\A=\pi\displaystyle\int\limits^{3}_{1} {3-\frac{2}{x}-\frac{1}{x^2}} \, dx\\\\A=\pi\displaystyle\biggr[3x-2\ln(|x|)+\frac{1}{x}\biggr]\Biggr|_{1}^{3}\\[/tex]

[tex]A=\pi\displaystyle\biggr[\biggr(3(3)-2\ln(|3|)+\frac{1}{3}\biggr)-\biggr(3(1)-2\ln(|1|)+\frac{1}{1}\biggr)\biggr]\\\\A=\pi\displaystyle\biggr[\biggr(9-2\ln(|3|)+\frac{1}{3}\biggr)-\biggr(3+1\biggr)\biggr]\\\\A=\pi\displaystyle\biggr[\biggr(\frac{28}{3}-2\ln(|3|)\biggr)-\biggr(4\biggr)\biggr]\\A=\pi\displaystyle\biggr[\frac{16}{3}-2\ln(|3|)\biggr]\\A\approx9.8524[/tex]

In conclusion, the volume of the solid of revolution will be about 9.8524 cubic units. See the attached graph for a helpful visual!

In the grocery store, eggs are sold in cartons of 12. Write five
ordered pairs made from the corresponding terms of these
two patterns, based on selling 0 to 4 cartons of eggs.
Pattern A: number of cartons sold
Pattern B: number of eggs sold

Plot the points on the plane to the right.

Describe the relationship between the coordinates of the ordered pairs.

Answers

The answer is b for sure
(1,12) (2,24) (3, 36) (4, 48) (5, 60) (6, 72)

Question
The sum of four times a number and two is 14. Find the number.

Answers

Answer:3

Step-by-step explanation:let the number be x

4x+2=14

4x=14-2

4x=12

divide both sides by 4

4x/4=12/4

x=3

The length of the base of an isosceles triangle is x. The length of a leg is 2x - 2. The perimeter of the triangle is 71. Find

Answers

Answer:

x = 15

Step-by-step explanation:

x + 2x - 2 + 2x - 2 = 71

Solve for x, you get 15.

Help picture below problem 11

Answers

Answer:

128° is the correct answer...

Step-by-step explanation:

mark me brainliest

Elise is in a challenge with her gym class to run a total of 200 miles in one
school year. In the first month she ran 18 miles. If she wants to split the
remaining amount of miles over the
next seven months, how many miles will
she run each month?
Show your work.

Answers

Total : 200 miles
1 month ran : 18 miles
Raking miles left :182
Remaining months :7
182/7 = 26
So she should run a total of 26 miles per month

What is the mean of the data set?

21.2, 15.3, 20.5, 16.8, 30.2

Question 1 options:

19.2


20.8


21.5

Answers

Answer:

B. 20.8 (second option)

Step-by-step explanation:

The mean is calculated by adding up their values, and then dividing them into elements of a set.

All of them should first be added together.

21.2+15.3+20.5+16.8+30.2

Solve.

[tex]\sf{21.2+15.3+20.5+16.8+30.2=104}[/tex]

The sum of the data set is 104.

The number of terms in the data set is n=5.

Therefore, the mean of the data set is 20.8, which is our answer.

I hope this helps you! Let me know if my answer is wrong or not.

Which function grows at the fastest rate for increasing values of x?

g(x) = 10x + 15

f(x) = 2•3^x

h(x) = 5x^2 + x + 10

Answers

Answer:

The answer is g(x) = 10x + 15

Step-by-step explanation:

Given;g(x) = 10x + 15 f(x) = 2•3ˣ 5x² + x + 10To Find;function grows at the fastest rate for increasing values of x.

Here, If we assume the value of x is 1 we get,

g(x) = 10x + 15

g(1) = 10(1) + 15

g(1) = 10 + 15

g(1) = 35

Here, We get the answer 35.

Now,

f(x) = 2•3ˣ

f(1) = 2•3¹

f(1) = 2•3

f(1) = 6

Here, We get the answer 6.

Now,

h(1) = 5x² + x + 10

h(1) = 5(1)² + 1 + 10

h(1) = + 5 + 1 + 10

h(1) = + 16

Thus, The answer is g(x) = 10x + 15.

-TheUnknownScientist 72

7 3/5 - 6 3/5
Pls help i can't do dis math

Answers

Step-by-step explanation:

[tex] = 7 \times \frac{3}{5} - 6 \times \frac{3}{5} \\ = \frac{7 \times 5 + 3}{5} - \frac{6 \times 5 + 3}{5} \\ = \frac{38}{5} - \frac{33}{5} \\ = \frac{38 - 33}{5} \\ = \frac{5}{5} [/tex]

Now convert into lowest term

[tex] \frac{1}{1} [/tex]

1/1 is the answer ....

The sum of two numbers is 35. The smaller number is 11 less than the larger number. What are the numbers?

Answers

You start by writing the equation; x + x - 11 = 35
Then you combine like terms giving 2x - 11 = 35
You solve for x resulting in x = 23

So the numbers would be 23 and 12

Answer:

12 & 23

Step-by-step explanation:

Let's make both of the statements into equations by making the numbers x & y.

"The sum of two numbers is 35" which means the two numbers added together is 35. So, x + y = 35.

"The smaller number is 11 less than the larger number." Let's make x the smaller number. So, x = y - 11.

So our equations are x + y = 35 and x = y -11. Using substitution, we can plug in (y-11) for x in the first equation.

y + y - 11 = 35. Combine the (y + y) to get 2y - 11 = 35. Add 11 to both sides of the equation, to get 2y = 46. Divide both sides by 2 to get y = 23.

Now, we can substitute 23 for y in either one of the equations, but I'm going to use the second one.  x = y - 11 or x = 23 - 11 which equals 12.

Your 2 numbers are 12 and 23. Hope this helps! :)

Which values from the set {-8, -6, -2, 0, 2, 4, 8} satisfy the following inequality?

Answers

he was never late negative to affirmative

Award: 1.00 point Exercise 6-10A (Static) Why is it important to prepare the benefit analysis report or the total compensation report? [You may select more than one answer. Single flick the box with the question mark to produceea check marka forma correct answer and doubye-click the both with the question mark to empty the box for a wrong answer. Any boxes left with a question mark will be automatically graded as incorrect.) The reports may be used to accompany benefits billing. The reports may be used as employee contracts. The reports promote employee education about the total value of their salary and benefits. The reports inform labor planning and employer cost strategies. References Check All That Apply Difficulty: 1 Easy Exercise 6-10A (Static) Learning Objective: 06-06 Complete Benefit Analysis as a Function of Payroll​

Answers

Answer:

i think its option one

Step-by-step explanation:

(4a^2/3 b^1/2)(2a^1/3 b^3/2)

Answers

Answer:

8ab^2

Step-by-step explanation:

(4a^2/3 x 2a^1/3)(b^1/2 x b^3/2)

8a^(2/3+1/3) x b^(1/2+3/2) = 8a^1 x b^2

PLEASE HELP ME
A triangle has one angle that measures 29 degrees, one angle that measures 131 degrees, and one angle that measures 20 degrees.

What kind of triangle is it?

Answers

Answer:

obtuse angled triangle

Step-by-step explanation:

one angle is more than 90

please help me no links

Answers

Answer:

1. 4

2. 39.3700787 (just round it up)

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