solve the equation for theta (0°≤theta<360°)

2 sin theta = 1​

Answers

Answer 1

Answer:

30 degrees

Step-by-step explanation:

To figure out theta is using a bit of simple trigonometry.

2sin(theta) = 1

= sin(theta) = 0.5

Using arcsin (sin^-1) we can isolate x

x = arcsin(0.5)

x = 30


Related Questions

You had an emergency at hôme and you called the police at 11:47 p.m. They
arrived at your house at 12:07 a.m. How long did it take them to get to your
house.

Answers

Answer:

20 mins

Step-by-step explanation:

The answer is 20 minutes. If you look at the times it's 11:47 and 12:07. Notice the times end in 7. You would add ten minutes until you get the time, and in the end you have 20 mins.

Hope this helps!

You are wanting a new pair of shoes. The shoes
cost $70 BEFORE taxes. The sales tax on these
shoes is 8%. How much money are these shoes
going to cost?

Answers

Step-by-step explanation:

$70*8% ≈ 56

so, 70 - 56 = i14

ihopethishelps

how do you write ababaabaa in exponential form?​

Answers

Answer:

[tex]\huge\boxed{a^6b^3}[/tex]

Step-by-step explanation:

Because every term here is multiplied, simply count the number of 'a's and 'b's.

Hope it helps :) and let me know if you want me to elaborate.

Can you help me solve 5(X+2)²= 4(X+3)​

Answers

Answer:

5X²+16X+8=0

Step-by-step explanation:

5(X+2) (X+2)=4(X+3)

5(X²+2X+2X+4)=4(X+3)

5(X²+4X+4)=4(X+3)

5X²+20X+20=4X+12

5X²+20X-4X+20-12=0

5X²+16X+8=0

What should the graph of two lines look like when there are no solutions that they have in common?

Answers

If the graphs of the equations do not intersect

Answer:

parallel

Step-by-step explanation:

if two lines are not parallel they will cross eventually at one point meaning they will have a point in common so they must be parallel

The fourth term of a sequence is 18.
The term – to – term rule is : ‘ Subtract 3 then multiply by 3.’ What is the first term of the sequence?

Answers

Answer:

11/3

Step-by-step explanation:

let the 3rd no be x

(x-3)3 = 18

x-3 = 6

x = 9

keep solving the equation and the first term will be 11/3


The circumference of a circular field is 207.24 yards. What is the diameter of the field? Use 3.14 for π and do not round your answer.

Answers

Answer:

d= 66

Step-by-step explanation:

1- Calculate diameter of the circle

40 POINTS! Please hurry! Which equation represents a function?
A.) x=-2y^2
B.) x=y^2-9
C.) x^2+y^2=1
D.) y=3x^2+2

Answers

Answer:  A. x=-2y^2

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

I just did the test

solve and simplify 2/3 x 3/4

Answers

Answer:

6/12 ≈ 1/2

Step-by-step explanation:

Q) 2/3 × 3/4 = ?

→ a = 2/3 × 3/4

→ a = (2 × 3)/(3 × 4)

→ a = 6/12

→ [ a = 1/2 ]

1/2

Multiply the numerators and the denominators of both fractions,

2  *  3

_____    

3  *  4

= 6/12

Simplify.

1/2

In the following figure, the value of x is
20
135
с
B
Note: Round your answer to the nearest tenth.

Answers

20

y'all homeworks are easy lølllll

If sin 64° = p, determine the value of the following in terms of p.

8 sin 16º.cos 16º.cos32°

Answers

We are provided that [tex]{\sf \sin (64^{\circ})=p}[/tex] and we have to find the value of [tex]{\sf 8\sin (16^{\circ})\cdot \cos (16^{\circ})\cdot \cos (32^{\circ})}[/tex] . But let's recall a identity which is gonna be very helpful to do this question i.e

[tex]{\boxed{\sf 2\sin (\theta)\cos (\theta)=\sin (2\theta)}}[/tex]

Now , coming back on the question ;

[tex]{:\implies \quad \sf 8\sin (16^{\circ})\cdot \cos (16^{\circ})\cdot \cos (32^{\circ})}[/tex]

[tex]{:\implies \quad \sf 4\{ 2\sin (16^{\circ})\cos (16^{\circ})\}\cos (32^{\circ})}[/tex]

Using the above identity ;

[tex]{:\implies \quad \sf 4\sin (32^{\circ})\cos (32^{\circ})}[/tex]

[tex]{:\implies \quad \sf 2\{2\sin (32^{\circ})\cos (32^{\circ})\}}[/tex]

Again using the same identity ;

[tex]{:\implies \quad \sf 2\sin (64^{\circ})}[/tex]

Putting the given value of [tex]{\sf \sin (64^{\circ})}[/tex]

[tex]{:\implies \quad \sf 2p}[/tex]

[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{8\sin (16^{\circ})\cdot \cos (16^{\circ})\cdot \cos (32^{\circ})=2p}}}[/tex]

Proof of the above identity :-

We know that ;

[tex]{\quad \boxed{\sf \sin (A\pm B)=\sin (A)\cos (B)\pm \cos (A)\sin (B)}}[/tex]

So ;

[tex]{:\implies \quad \sf \sin (A+ B)=\sin (A)\cos (B)+\cos (A)\sin (B)}[/tex]

Putting [tex]{\sf A=B=\theta}[/tex] ,

[tex]{:\implies \quad \sf \sin (\theta+ \theta)=\sin (\theta)\cos (\theta)+\cos (\theta)\sin (\theta)}[/tex]

[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{\sin (2\theta)=2\sin (\theta)\cos (\theta)}}}[/tex]

Hence , Proved :D

Find the probability of picking a green or orange marble from a bag
containing 5 green, 3 yellow, and 5 orange marbles.

Answers

Answer:

76.92%

Step-by-step explanation:

Green: 5

Orange: 5

Yellow: 3

First: 5 + 5 + 3 = 13

Now we need to find the probablility of picking an orange or green marble.

We need to divide the number of green and orange marbles put together by the total, 13.

10/13 = 76.92%

You have a 76.92% chance of picking either a green or orange marble.

Have an amazing day!!

PLEASE RATE AND MARK BRAINLIEST!

Work out the following: Share 30 in the ratio 1:9​

Answers

Answer:

3

Step-by-step explanation:

share 30 in the ratio 1:9

1+9=10

30÷10 =3

3 in each part

Joey borrowed $2,750 from
the bank at 5% simple interest
for 5 years. How much is Joey
going to pay in interest?

Answers

Answer:

Simple Interest: $3.44

Annually Compounded Interest: $3.51

Answer:

Joey is going to pay $687.5

In all Joey is going to pay $3437.5

Step-by-step explanation:

To get 687.5 you have to do $2750 x 0.05 x 5 years

That gets you 687.5

can anyone tell me the factor tree of 84 need fast plssss...

Answers

Answer:

84

2 42

2 21

3 7

Step-by-step explanation:

It has total 12 factors of which 84 is the biggest factor and the prime factors of 84 are 2, 3 and 7. The Prime Factorization of 84 is 2^2 × 3 × 7

Answer:

in attachment

Step-by-step explanation:

Please help me please​

Answers

Answer:

(C)(C)(D)(B)(C)(A)

Step-by-step explanation:

Hope it helps!!!


A circular running track is 1/2 mile long. Elena runs on this track, completing each lap in 1/10 of an
hour. What is Elena's running speed?

Answers

The answer might be wrong but

Answer:

5 mph

Step-by-step explanation:

1/2 mile in 1/10 of an hour

1 mile in 1/5 of an hour

5 miles in 1 hour

Kaylee has 1 red, 3 blue, 2 brown, 1 purple, and 4 pairs of pink flip flops in her closet. Assuming she always replaces them, what is the probability that she will choose a blue pair on Monday and a pink pair on Tuesday? (Compound Probability)

Answers

Answer

she has a 3 out of 11 percent chance aka 3/11

Step-by-step explanation:

There is 1 red meaning there is less of a chance to get that one unless she is lucky same goes with purple! She has 2 brown flip flops so there is more of a chance she may get that one, but 4 pairs of pink flip flops meaning she is more likely to pick pink on Tuesday then Monday. but the answer can be 3/7 if I do not count the others flip flops... but hopefully this helps...

please help I am really stuck on this one!! I would like an explanation with the answer please so I can learn how to do it from now on!!

Answers

ANSWER:

x° = 24°

y° = 72°

Analysis on picture hope it helps

Clara surveyed 12 elementary school students in a regional spelling bee.
Is this a random sample of elementary school students?
yes
no

Answers

no because it wouldn’t be random if Clara surveyed students in a regional spelling bee. it would be a survey of the kids in the spelling be

Answer:

No, it isn't a random sample of students because Clara surveyed students in a regional spelling bee so instead it would be a survey of the kids in the spelling bee.

Halp me

Discuss the important features of the box-and-whiskers plot.

Answers

Answer:

As shown, a box-and-whisker plot is a way of summarizing a set of data measured on an interval scale. This type of graph is used to show the shape of the distribution, its central value, and its variability.

Explanation:

100% When I put this in

PLEASE HELPP 8th grade

Answers

Answer:

5.83 or 6

Step-by-step explanation:

don't know for sure sorry! have a good day or night!

Answer: 5.83

Step-by-step explanation: Im a fifth grader I’m only taking an estimate

What is the 30th term of the linear sequence
-5 -7 -9 -11 -13

Answers

Answer:

the 30th term of the given linear sequence is -63.

Step-by-step explanation:

The given sequence is in arithmetic progression whose difference is given by:

-7 - (-5) = d

d = -2

The nth term in the arithmetic progression is given by the formula:

where 'n' is the number of terms, 'a' is the first term,  is the nth term, and 'd' is the difference.

Now, substitute the known terms in the above formula.

So, the 30th term of the given linear sequence is -63.

Do the ones you can please

Answers

Everything is answered in the attachment below

The graph of the equation y = m^x passes through the point

A) (1, m) B) (0, m) C) (m, 0) D) (m, 1)

Answers

The graph of the equation y = m^x passes through the point (1, m)

Equation of a graph

Given the equation of a graph expressed as y = m^x

We need to determine the coordinate point that lies on this graph.

If x = 1, substitute into the formula to have:

y =m^1

y = m

Hence the required coordinate will be (1, m)

Learn more on equation of graph here: https://brainly.com/question/24894997

A prism with a base area of 8 cm² and a height of 6 cm is dilated by a factor of 54. What is the volume of the dilated prism? Enter your answer, as a decimal, in the box. Cm³.

Answers

The volume of the dilated prism is calculated to be considering scale factor for the area as well as the height is 7558272 cm³.

What is the dilation or scale factor?

The scale factor in the dilation of a mathematical object determines how much larger or smaller the image will be (compared to the original object).

Given that

The base area of prism = 8 cm²

Height of the prism = 6

Scale factor = 54

So enlarged area =( scale factor )² * previous area = 54²* 8 = 23328 cm²

Enlarged height = 54*6= 324 cm

Enlarged volume = enlarged area* enlarged height = 7558272 cm³

Thus, the volume of the dilated prism is 7558272 cm³.

To get more about dilation refer to:

https://brainly.com/question/25722260

1. Ernest calculated the slope of the graph during the uphill climb to be 10. His work is shown below. Determine whether his calculation was correct or incorrect, and then
explain why.
(2 points: 1 for the answer, 1 for the explanation)

Points: (60, 900). (15, 450)
900-450/60-15 = 450/45 = 10

Answers

Answer:

answer is correctthe correct formula was used appropriately

Step-by-step explanation:

The slope of a line on a graph is found using the slope formula:

  m = (y2 -y1)/(x2 -x1)

Ernest used (x1, y1) = (15, 450) and (x2, y2) = (60, 900) to fill values into this formula. In doing so, he got ...

  m = (900 -450)/(60 -15) = 450/45 = 10

This is an appropriate use of the formula, so gave Ernest the correct answer.

Find the specified vector 2v - 6w . Given v = 3i - 5j , w = - i + 4j ,

Answers

Answer:

Your question is unclear as to which product you're looking for, the dot product or the cross product, so I'll answer for both.

The i and j notations for vectors refer to their coordinates, e.g. a vector that is 2i+3j is one that moves 2 units in the x-direction and 3 units in the y-direction. This can also be notated as (2, 3), and that's the notation I'll be using in this answer to keep things simple.

In order to get either product, we have to do the subtraction in parentheses first:3v - 4w = 3 * (2, -2) - 4 * (0, -2). When multiplying a vector by a scalar number, you just multiply the coordinates by the scalar, so this becomes (6, -6) - (0, -8). Performing this subtraction by subtracting corresponding coordinates, we get 3v - 4w) = (6, 2). Also, 5u = 5 * (-3, 2) = (-15, 10).

Now, the dot product of two vectors is a scalar quantity. The dot product of the two vectors (-15, 10) • (6, 2) is the sum of the products of the corresponding coordinates. This is -15 * 6 + 10 * 2, which is -90 + 20, and that is -70.

Step-by-step explanation:

A graph of a linear function is shown on the grid. Which of these best represents 0 of the function? A 8. B 10. C 16. D 24.

Answers

answer:

C. 16

explanation:

when x is 0, the y-intercept is 8

coordinates: (0,8) and (4,6)

slope:

[tex]\sf \frac{y2-y1}{x2-x1}[/tex]

[tex]\sf \frac{6-8}{4-0}[/tex]

[tex]\sf \frac{-2}{4}[/tex]

[tex]\sf -\frac{1}{2}[/tex]

equation:

[tex]\sf y = mx +b[/tex]    [ where m is slope and b is y-intercept ]

[tex]y = \sf -\frac{1}{2}x +8[/tex]

solve for x-intercept:

note: zeros of a function are the values of x when f(x) is equal to 0

[tex]y = \sf -\frac{1}{2}x +8[/tex]

[tex]0= \sf -\frac{1}{2}x +8[/tex]

[tex]-8= \sf -\frac{1}{2}x[/tex]

[tex]\sf x = -8 * -2[/tex]

[tex]\sf x = 16[/tex]

Answer:C 16.

Step-by-step explanation:

its 16

If f(x) = x-1 and g(x) = 2x, what is and g(f(x))​

Answers

Answer:

[tex]f(g(x)) = 2x - 1[/tex]

Step-by-step explanation:

learn composite functions

Other Questions
It's an instrument, it shares some similarities with trumpet, but it is not a trumpet. It is not so common in Bangladesh. We can play it, we need to have strong lungs to play it and it is difficult to play properly. What is it?write in french There are 12 people at the movies. Child tickets are $5 and adult tickets are $10. How many children were there if they paid $60? Given that f(x)=x^2 + x and g(x) = 3x + 1, find the value f(g(4)) The author creates a serious and apprehensive tone.How does the author develop that tone over the course of the article? The United States entered the Spanish-American War following the explosion of which ship in Havana Harbor in 1898?A. USS MonitorB. USS North CarolinaC. USS ArizonaD.USS Maine For the defendant to be liable in a negligence case, it must be proven that the type of harm caused by the defendant must have been reasonably foreseeable. This is referred to as. Find the value of x. If necessary, write your answer in simplest radical form.x=? how many moles of each atom are in 1 mole of oxygen Which ability demonstrates that one can identify and share another person's feelings?empathyintegrityresilienceconfidence An explosion takes place in space. Which type of waves from the explosion can be observed on Earth? Paul is filling the rectangular prism shown with cubes that measure 4 inch along each edge. What is the maximum number of cubes he can fit in the prism?A. 60B. 15C. 240D. 64 if n = 11 and p = 5 what is the value of the expression 18 - n - 2 + p use substitution to determine if 0 is a solution of 5x = 5. 1. radius of a circle with a circumference of 421 meters What is the purpose of checks and balances? How does this system protect the citizens of the United States? Find the perimeter of the triangle recall that the perimeter of a figure is the distance around a figure Which statement is true. A. The square root of 150 is 15.B. The square root of 400 is 40.C. The square root of 36 is 18.D. The square root of 256 is 16 .Which of the following could an individual person do to have apositive impact on an environment?A. increase the amount of carbon dioxide in the airB. take exotic species of plants out of a swampC. remove beneficial algae from a lake to keep it cleanD. use pesticides to protect yard grass As the populations of cities increase, and buildings take over the wildlandscape, many people are making an effort to form preserves, whichkeep the plant and animal life of an area in its natural habitat. What isthe most likely reason these people are so determined to make thesepreserved areas?A. Preserves are like giant parks, and parks make a city prettier.B. To prevent too many people from being able to move into the city.C. Preserves make a lot of money for a city and can pay for more buildings.D. Without their natural environment, plant and animal species will become extinct Which best describes the language in this excerpt?O regional dialectnon-standard EnglishO Southern dialectO standard English What is the outdoor temperature where you are right now?.