Sin(2x+30°)=1
Tìm x
Cảm ơn vì giúp đỡ

Answers

Answer 1

Answer:

Step-by-step explanation:

This question is asking us to find where sin(2x + 30) has a sin of 1. If you look at the unit circle, 90 degrees has a sin of 1. Mathematically, it will be solved like this (begin by taking the inverse sin of both sides):

[tex]sin^{-1}[sin(2x+30)]=sin^{-1}(1)[/tex]

On the left, the inverse sin "undoes" or cancels the sin, leaving us with

2x + 30 = sin⁻¹(1)

The right side is asking us what angle has a sin of 1, which is 90. Sub that into the right side:

2x + 30 = 90 and

2x = 60 so

x = 30

You're welcome!


Related Questions

Can someone help me with this math problem please?

Answers

First u have to find the square root for the number and then answer all of the root question then u have to find the angels

Answer:

C

Step-by-step explanation:

g(x) is larger than f(x) and not the same size so B and D are out of question because those are translation not dilation.

f(x) is stretched in the vertical direction to get g(x). So this means the scale factor has to be greater than 1. so A is wrong.

The answer is c

I need answers asappppp plz

Answers

Answer:

Step-by-step explanation:

Plz help!! I need it ASAP

Answers

Answer:

you save $500 for 7 years at 6% compounding continuously

what is the final value...

A = $500 [tex]e^{.06(7)}[/tex]

Step-by-step explanation:

A jar is filled with 74 different colored marbles, 10 of which are red, 38 of which are blue, and 26 of which are green. A player is asked to draw a single marble from the jar and if they draw a red marble they will win $20, if they draw a blue marble they will lose $10, and if they draw a green marble they will lose $5. You may round your answer to the nearest cent

Answers

Solution :

Colored marble            Prize

     Red ----  10               20

    Blue --- 38                 10

   Green --- 26               5

P(red)  =  10/74  =  5/37

P(blue)  =  38/74  =  19/37

P( green)  = 26/74  =  13/37

Therefore,

 X      →     Red          Blue      Green

P(X)           5/37        19/37      13/37

The expected values are :

[tex]$20 \times \frac{5}{37} - 10 \times \frac{19}{37} - 5 \times \frac{13}{37}[/tex]

= -4.189

Thus it is not profitable to play the game.

Tyrell bought 6 video games this summer. Each game cost 27 dollars. If Tyrell had 379 dollars left after he bought the video games, how much money did he start with?

Answers

Taking into account the total amount of money spent on the games and the money that Tyrell had left after he bought the video games, Tyrell started with $541.

Total amount of money

First you must know the total amount of money spent on the games. For that Tyrell bought 6 video games this summer and each game cost 27 dollars.

So to calculate the amount spent, the number of games purchased must be multiplied by the price of each one:

6 video games* 27 dollars each game= 162 dollars

So Tyrell spends 162 dollars.

Money left over after buying the video games.

On the other hand, you know that Tyrell had 379 dollars left after he bought the video games.

This indicates that after spending $ 162 on video games, there were $ 379 left over.

Money he started with.

To know the amount of money that Tyrell had, you must add the amount spent on games and the money that was left over:

162 dollars + 379 dollars= 541 dollars

So, Tyrell started with $541.

Learn more with this similar examples:

https://brainly.com/question/11757690?referrer=searchResultshttps://brainly.com/question/10823368?referrer=searchResults

Tyrell started with 541 $

There are two actions in the question.

First Tyrell bought 6 video games, each game cost 27 $.

Spent

According to that Tyrell spent

6 * 27 = 162 $

Keeps

The second fact is that after shopping Tyrell keeps 379 $.

If Tyrell spent 162 $ and still keeps 379 $, that means that the total amount of money Tyrell had is the sum of the money he spent plus the money he has

Now if we call "x" the quantity of money Tyrrel started with: Then

x  =  the money Tyrell spent on video games  plus the remaining 379 $

Then

x  =  162  + 379

x = 541 $

mr. Patel travelled from Delhi to Mumbai by road in his car. a). If he travelled in his car 770 km over 22 days, then how many kilometres did he travel in one day?b). A litre of petrol takes Mr Patel’s car a distance of 14 km. How many litres would he need to go 840 km?C). Mr Patel is carrying 326 boxes of sweets in the boot of his car. If each box contains 25 sweets, how many sweets are there in his car?

Answers

Answer:

a. 35 Kilometres.

b. 60 litres.

c. 8150 sweets.

Step-by-step explanation:

Given the following data;

Distance traveled = 770 kmNumber of days = 22 days

a. To find how many kilometres he traveled in one day;

770 km = 22 days

X km = 1 day

Cross-multiplying, we have;

22X = 770

X = 770/22

X = 35 Kilometres.

b. To find how many litres he would need to go 840 km;

1 litre = 14 kilometres

X litres = 840

Cross-multiplying, we have;

14X = 840

X = 840/14

X = 60 litres.

c. To find how many sweets are there in his car;

Number of sweet box, Ns = 326 boxes

Number of sweets in each box, Sw = 25 sweets

Total number of sweets = Ns * Sw

Total number of sweets = 326 * 25

Total number of sweets = 8150 sweets.

3.)The lateral surface area of a right circular cylinder is 120cm² and the circumference of the bases is 12cm.Find the altitude of the cylinder ​

Answers

Answer:

Lateral surface area= circumference*height

120=12*h

h=10cm

Answer:

h=10 cm

Step-by-step explanation:

cicumference of a circle C=2πr=12

lateral surface area of cylinder=2πrh

120=12h

h=120/12=10 cm

Can someone help me with this math homework please!

Answers

The answer is (-2,0) (2,0) (0,-4)

Answer:

Step-by-step explanation:

1)  (-2, 0)

2) (2 , 0)

3) (0, -4)

   

Write the y-intercept of the line

Answers

Answer: -2. Bc if you look on the graph of the y axis you'll see its located at -2.

Hope this helps :)

Step-by-step explanation:




Segment AB is completely rotated about the y-axis to form a 3-D figure. Find the volume of the figure. The
length of AB is 6.

Answers

Answer:

The volume of the figure is 905 cubic units.

Step-by-step explanation:

Rotation is a method of solid transformation which involve turning a given line, or object about a reference point. In the given question, rotating segment AB completely about the y-axis would form a 3 dimensional figure of a sphere.

volume of a sphere = [tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]r^{3}[/tex]

where r is the radius of the sphere.

Given that AB = 6, then the radius of the sphere = 6

volume of sphere = [tex]\frac{4}{3}[/tex] x [tex]\frac{22}{7}[/tex] x [tex](6)^{3}[/tex]

                              = [tex]\frac{88}{21}[/tex] x 216

                              = 905.14

volume of sphere = 905 cubic units

The volume of the figure is 905 cubic units.

A chocolate chip cookie recipe requires three and one third cups of flour to one cup of chocolate chips. If one and one quarter cups of flour is used what quantity of chocolate chips will be needed according to the recipe?

Answers

Answer:

3/40 cup

Step-by-step explanation:

3 1/3 =10/3

10/3 to 1 is 1/4 to x

i then proceeded to use the butterfly method to find the answer

Given JIH~ LMN. what is the value of LN?

Answers

Answer:

7 units

Step-by-step explanation:

In similar triangles, corresponding sides are same ratio.

[tex]\frac{LN}{JH}=\frac{LM}{JI}\\\\\frac{LN}{14}=\frac{5}{10}\\\\LN=\frac{5}{10}*14\\\\LN=7[/tex]

Which of the following accurately describes the median of a set of data? Multiple choice question. The midpoint of the data when it is arranged in order. The difference in the largest and smallest values. The most numerous observation in a set of data. The arithmetic average of the values in the set.

Answers

Answer:

The midpoint of the data when it is arranged in order.

Step-by-step explanation:

Median can be described as the number that occurs in the middle of a set of numbers that are arranged either in ascending or descending order

For example, the median of the following set of numbers is 5

1, 2, 5, 10, 20

Range is the difference between the highest and lowest values of a set of observations

Range = highest value - lowest value

Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number

Mean = sum of the numbers / total number

HELP! (25 points) i think i might know the answer

Answers

Answer:

[tex]\sqrt{7}[/tex]

Step-by-step explanation:

Explain how to know when to use mean, median, or mode as a measure of
central tendency. For each measure, give an example of a situation where the
center should be used.

Answers

Answer:

Step-by-step explanation:

Mean

The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.

Median

Arrange your numbers in numerical order.

Count how many numbers you have.

If you have an odd number, divide by 2 and round up to get the position of the median number.

If you have an even number, divide by 2.

Mode

To find the mode, or modal value, it is best to put the numbers in order. Then count how many of each number. A number that appears most often is the mode.

Please solve #5 and explain how you solved it

Answers

the answer is y = -2x + 10
2x + y = 10
Subtract 2x from both sides of equation.
y = 10 - 2x
Now put in slope intercept form.
y = -2x + 10
The 2 is negative. The sign stays with it.
Same for the 10. It’s positive and the sign stays with it.

If Sunil earns $3672 per month, what is his annual salary?

Answers

Answer:

$44064

Step-by-step explanation:

Sunil earns $3672 every month. To find out his annual salary, we will need to multiply this monthly salary by the number of months in a year; 12.

3672 * 12 = $44064

Grant is a member of a book club. He pays a $10 yearly membership fee and can purchase books through the club for $2.75 each. His total annual cost is a function of the number of books that he purchases in a year. Let b represent the number of books he purchases in a year. Which function, C(b), represents his yearly cost

Answers

C(b) = 2.75b + 10

This is based of the f(x) = mx + b formula, where m is the slope, x is the variable (or input) and b is the y intercept. In this circumstance the slope is 2.75, so we change m for 2.75. The variable is the amount of books so we change it for b (like it says in the word problem), and and 10 is the starting cost, so it’s the y intercept, so we change b for 10.


Hope this helps! Please make me the brainliest, it’s not necessary but appreciated, I put a lot of effort and research into my answers. Have a good day, stay safe and stay healthy.

mA = (4x - 2) and mzB = (11x + 17)°. Find x if the angles are
supplementary
A.) 165
B.) 180
C.) 15
D.) 11

Answers

the answer is a.) 165 sorry if that’s wrong but i hope it’s right
Yeah it’s A I just did this


Find the slope of the line

Answers

Answer:

-1

Step-by-step explanation:

y = -1

-1 because that's where the point is on the y-axis.

Find z, the total impedance, of each circuit. Express your answer in standard form

Answers

Answer:

a. 7 Ω

b. 5 Ω

c. 4.472 Ω

Step-by-step explanation:

a. Since we have two resistors in with resistances R = 4Ω and R' = 3 Ω in series, the total impedance z of the circuit is the sum of the individual resistances.

So, z = R + R' = 4 Ω + 3Ω = 7 Ω

b. Since we have a resistor of resistance R = 4Ω in series with an inductor of reactance X = 3 Ω, the total impedance is z = √(R² + X²)

z = √((4 Ω)² + (3 Ω)²)

z = √(16 Ω² + 9 Ω²)

z = √(25 Ω²)

z = 5 Ω

c. Since we have a resistor of resistance R = 4Ω in series with an inductor of reactance X = 3 Ω, and a capacitor of reactance, X' = 1 Ω the total impedance is z = √[R² + (X - X')²]

z = √((4 Ω)² + (3 Ω - 1 Ω)²)

z = √(16 Ω² + (2 Ω)²)

z = √(16 Ω² + 4 Ω²)

z = √(20 Ω²)

z = √(4 × 5) Ω

z = √4 × √5 Ω

z = 2√5 Ω

z = 4.472 Ω

A truck was carrying 10 bags of sugar. Each bag weighed 50kg. Calculate the total mass of sugar on the truck. Write your answer in grams.​

Answers

Answer:

1beg-------------50kg

10beg------------x

x=500kg to grames 500×1000=500000grams

Answer:

500000g

Step-by-step explanation:

first of you multiply the 50kg with the 10 bags

which gives 500kg

then you convert 500kg to grams

which is 500kg/1×1000g/1kg

when you cancel out the kg what is left is to multiply both sides and then you get 50000g.

Help me pls‼️‼️‼️❤️❤️

Answers

Answer:

= 50%

Step-by-step explanation:

There is one point, random number = 1

There are two circles, sample space = 2

[tex]{ \tt{probability = \frac{1}{2} }} \\ { \tt{percentage = \frac{1}{2} \times 100\% }} \\ = 50\%[/tex]

Answer:

25%

Step-by-step explanation:

1. Find the area of both Circles: [tex]A = \pi r^{2}[/tex] [tex]A = \pi 2^{2}[/tex] = [tex]4\pi[/tex]   [tex]A = \pi 1^{2} = \pi[/tex]

2. [tex]\frac{\pi }{4\pi }[/tex] to find the percentage

3.  0.25 = 25%

find the difference between of the greatest and smallest 5 digit number​

Answers

Answer:

Step-by-step explanation:

The largest 5-digit number is 99999 and the smallest 5-digit number is 10000. If it was mentioned that the largest unique 5-digit number then it would have been 98765 and the smallest 5-digit number would have been 10234.

Hope this answer helps you :)

Have a great day

Mark brainliest

Someone plz help me and show the work 10 points!

Answers

Answer: 76 degrees

In order to solve for the ? Angle you can use inverse tangent with our given sides
The original equation for inverse tangent is tan^(angle)=opposite/hypotenuse, so plug the values in, and isolate the angle by dividing tangent. Then solve on a calculator and let x=?; tan^-1(40/10) which is equal to 75.96375653 which is approximately 76 degrees

Answer:

78°

Step-by-step explanation:

you have to add it up and then divide after multiply

Which system is equivalent to y=-2x^2 y=x-2

a) y=-2y^2 x=y-2
b) y=-2y^2+2 x=y+2
c) y=-2y^2-8y-8 x=y+2
d) y=-2y^2+8y-8 x=y-2

Answers

Answer:

answer C

Step-by-step explanation:

[tex]\left\{\begin{array}{ccc}y&=&-2x^2\\y&=&x-2\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}x&=&y-2\\y&=&-2(y-2)^2\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}x&=&y-2\\y&=&-2y^2-8y-8\\\end{array}\right.\\\\[/tex]

Help Please Math!!!
Find The Surface Area Of The Prism

Answers

Answer:

Surface Area=208 cm²

Step-by-step explanation:

Surface Area= 2×l×w+2×l×h+2×h×w

SA= 2×11×4+2×4×4+2×11×4=208

La sombra que proyecta un edificio es de 16 m si el coseno del ángulo que se forma entre la punta de la sombra y el techo del edificio es 16/20 cual es la altura del edificio

Answers

Answer:

dont understand clearly

Step-by-step explanation:

dont understand clearly

If ABC ~ AMN and am=6, mb=4 an= 8 then what is the value of nc

Answers

It gonna be 10 boss

which quadratic function has zeros of -4 and 7

Answers

Thank You! Hope it helps! Please mark me brainliest!

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