Use a calculator to find a value of θ between 0° and 90° that satisfies the statement. Write your answer in degrees and minutes rounded to the nearest minute.


csc(theta)= 4.1191

Answers

Answer 1

Answer:

[tex]\theta = 14.1\ degrees[/tex]

[tex]846\ minutes[/tex]

Step-by-step explanation:

Given

[tex]csc(\theta) = 4.1191[/tex]

Required

Solve for [tex]\theta[/tex]

[tex]csc(\theta) = 4.1191[/tex]

[tex]csc(\theta) = \frac{1}{sin(\theta)}[/tex]

So, we have:

[tex]\frac{1}{sin(\theta)} = 4.1191[/tex]

Invert both sides

[tex]sin(\theta) = \frac{1}{4.1191}[/tex]

[tex]sin(\theta) = 0.2428[/tex]

Take [tex]sin^{-1}[/tex] of both sides

[tex]sin^{-1} sin(\theta) = sin^{-1}0.2428[/tex]

[tex]\theta = sin^{-1}0.2428[/tex]

[tex]\theta = 14.0518577574[/tex]

[tex]\theta = 14.1\ degrees[/tex] --- approximated

Convert to minutes:

[tex]1\ degree = 60\ minutes[/tex]

So:

[tex]14.1\ degrees = 14.1 * 60\ minutes[/tex]

[tex]14.1\ degrees = 846\ minutes[/tex]


Related Questions

Liam has this spinner.
red
green
blue
yellow
red
green
blue
red
Liam will spin the pointer one time.
What is the probability that the pointer will land on red?

Answers

3/8

There is 8 sections of the spinner and 3 are red. No need to simplify

An AP ® Statistics student designs an experiment to see whether today’s high school students are becoming too calculator-dependent. She prepares two quizzes, both of which contain 40 questions that are best done using paper-and-pencil methods. A random sample of 30 students participates in the experiment. Each student takes both quizzes—one with a calculator and one without—in a random order. To analyze the data, the student constructs a scatterplot that displays a linear association between the number of correct answers with and without a calculator for the 30 students. A least-squares regression yields the equation ˆ=−1.2+0.865() =0.79 Which of the following statements is/are true?

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Answer:

I and III

Step-by-step explanation:

(1,6) and (9,14) standard form

Answers

Answer:

(14y+6y)+(9x+1x)

Step-by-step explanation:

The value of y is directly proportional to value of x.if y =35 when x=140 what is the value of y when x = 70​

Answers

Answer:

Y= 17.5

Step-by-step explanation:

140 divided by 2 would equal 70 which could used on y as well meaning 35 divided by 2 would be 17.5 thus giving us the answer 17.5

A system of two linear equations is consistent and dependent. What is true about the graph of the equations?
A.
The lines are the same.
B.
The lines are parallel, but have different intercepts.
C.
The lines intersect.
D.
The lines are perpendicular.


Please select the best answer from the choices provided

A
B
C
D

Answers

Answer:

The best answer is " The lines are the same " ⇒ A

Step-by-step explanation:

A system of two linear equations can have:

One solution ⇒ 2 intersected lines at a pointAn infinite number of solutions ⇒ same lineNo solution ⇒ 2 parallel lines

If a system has at least one solution, it is called consistent

If a consistent system has exactly one solution, then it is called independent. they are represented by two intersected lines at a pointIf a consistent system has an infinite number of solutions, then it is called dependent. They are represented by the same line

If a system has no solution, then it is called inconsistent. they represented by two parallel lines

Let us use these facts above to solve our question

∵ A system of two linear equations is consistent and dependent

∴ The system has an infinite number of solutions

∴ The system represented graphically by the same line

The best answer is " The lines are the same "

ASAP! Help I’ll mark you brainly

Answers

Answer:

y=0.13x^2+13.68x+750

this the function rule

Step-by-step explanation:

brainliest

Answer:

im the other

make sure u give it to tfue_the_god

Step-by-step explanation:

what is another name for <2

Answers

Answer:

two, like: both, pair, couple, same, twain, bifurcate, bigeminal, binal, twin, dual and double.

Step-by-step explanation:

________ and ________ are two ways that substances pass through a cell membrane out of the cell. A Photosynthesis, diffusion B Diffusion, active transport C Active transport, mitosis D Photosynthesis, mitosis

Answers

Answer:

b. diffusion and active transport

Step-by-step explanation:

these are two ways that substances, like nutrients, pass through cell membranes.

Answer:

b

Step-by-step explanation:

The Triangle Sum Theorem states that the sum of all the angles in a triangle is

Answers

Answer:

180°

Step-by-step explanation:

Use scientific notation to find the product of 7.13 × 10 -3 and 40.

Answers

Answer:

(7.13 × 10^-3) x 40 = 285.2 x 10^-3 = 2.9 x 10^-1

Step-by-step explanation:

I  think this is the answer i hope if it right or not but aleast I try on it .

The sides of ADEF are d, e, and f. If the lengths of d = 12 and e = 19, what are the

possible lengths of f?

Answers

Answer:

The possible range of values for F are from 8 to 30

Step-by-step explanation:

Here, we have a triangle DEF and we want to get the possible lengths of the third side

To evaluate the possible lengths of the third side , we need to follow a rule

The rule is that, for the third side, the sum of the two other sides must be greater than it

This means that the length should be less than d + e

Mathematically;

f < d + e

f < 12 + 19

f < 31

So it could be 30

It could also range from 30 to 8

This is because if it is less than 8, then the addition to 12 will be less than or equal to 19

how many one and one fourths are in four and one half

Answers

Answer:

There is 5 4rth

Step-by-step explanation:

The data below indicate the time (in seconds) that it takes 25 separate employees to complete a certain task. hw1_q5.csva) What is the mean of the data in seconds? Give your answer to three decimal places.b) What is the median of the data in seconds?c) What is the variance of the data in seconds? Give your answer to three decimal places.d) What is the standard deviation of the data in seconds? Give your answer to three decimal places.e) What is the mean of the data in minutes? Give your answer to three decimal places.f) What is the median of the data in minutes? Give your answer to three decimal places.g) What is the variance of the data in minutes? Give your answer to three decimal places.h) What is the standard deviation of the data in minutes? Give your answer to three decimal places.seconds260224221255236215193285244284222185182197253191255231229168152221244239246

Answers

Answer:

Explained below.

Step-by-step explanation:

Consider the data provided.

(a)

Compute the mean of the data in seconds as follows:

Mean =AVERAGE(array)

         = 225.280 seconds

(b)

Compute the median of the data in seconds as follows:

Median =QUARTILE.EXC(array,2)

            = 229 seconds

(c)

Compute the variance of the data in seconds as follows:

Variance =VAR.S(array)

              = 1148.043 seconds

(d)

Compute the standard deviation of the data in seconds as follows:

Standard deviation =STDEV.S(F2:F26)

                              = 33.883 seconds.

(e)

Compute the median of the data in minutes as follows:

Median =QUARTILE.EXC(array,2)

            = 3.755 minutes.

(f)

Compute the median of the data in minutes as follows:

Median =QUARTILE.EXC(array,2)

            = 3.817 minutes

(g)

Compute the variance of the data in minutes as follows:

Variance =VAR.S(array)

              = 0.319 minutes

(h)

Compute the standard deviation of the data in minutes as follows:

Standard deviation =STDEV.S(F2:F26)

                              = 0.565 minutes.

“use synthetic method to find the quotient”

Answers

Answer:

1) [tex]2x^{4} -x^{3} +2x^{2} -4x+5+\frac{6}{x+2}[/tex]

2) [tex]5x^{3}+15x^{2} +45x+151+\frac{474}{x-3}[/tex]

Step-by-step explanation:

A Department of Transportation report about air travel found that, nationwide, 78% of all flights are on time. Suppose a random sample of 50 flights is selected from all nationwide flights that were completed in the past 30 days (over 1000 flights). Let the random variable X be defined as the number of sampled flights that arrived on time.


What is the value of the n parameter of the binomial random variable X?


Group of answer choices


50


78


39


30


1000

Answers

Answer:

The value of parameter n of binomial random variable is 50.

Step-by-step explanation:

The value of n parameter is 50 because it is the size of sample of flights. In binomial experiment the process is repeated fixed n number of times and here in the given scenario random sample of 50 flights is the n which is fixed throughout the process.

How many thirds are there in 12/3?

Answers

Answer: 4

Step-by-step explanation:

12/3 = 4

Answer:

12

i think..............................

What is the slope of a line that is perpendicular to the line y =-1/5

Answers

Answer:

The slope-intercept form is y=mx+b y = m x + b , where m m is the slope and b b is the y-intercept. Using the slope-intercept form, the slope is 0 0 . All lines that are parallel to y=−15 y = - 1 5 have the same slope of 0 .

State the x and Y intercepts of the equation y=2/3x - 1/3

Answers

Answer:

x intercept is (1/2, 0).

y intercept = (0, -1/3)

Step-by-step explanation:

2/3x - 1/3 = 0

2/3x = 1/3

x = 1/3 * 3/2

x = 1/2.

y =  2/3(0) - 1/3 = -1/3.

Find the value of x. The diagram is not to scale.

Someone help please!!​

Answers

Answer:

angle T = 114

Step-by-step explanation:

SRT = STR

angle R = angle T

angle R = 33°

so angle R and angle T = 33°

all angles on a triangle = 180°

so

angle R + angle S + angle T = 180°

and angle R and S = 33° so subtitute...

33 + 33 + T = 180

then solve:

66 + T = 180

-66         -66

T = 114

mathy way:

SRT = STR                 Given

SRT = 33                   Given

33 = STR                   Substitution Property of Equality

STR = 33                  

R + S + T = 180°        Deffinition of triangle

33 + 33 + T = 180     Substitution Property of Equality

66 + T = 180             Addition

T = 114                       Subtraction Property of Equality

have this done correctly for brainliest​

Answers

4.)y=-2x+7
6.)y=-4x+3
8.)y=3/4x+3/4
10.)y=2x+1
12.)y=16x-12

A union charges monthly dues of $6.00 plus $0.15 for each hour worked during the month. A union member's dues for March were $30.60. How many hours did the union member work during the month of March?

Answers

Answer:

4.5

Step-by-step explanation:

PLZ HELP I WILL MARK BRAINLEST!

Answers

Answer: 16.4cm

Step-by-step explanation: 4cm=20km

82/20 is 4.1. 20 multiplied by 4.1 and you get 16.4cm

___ is a term relating to abstract ideas.

Answers

Answer:

conceptual

Step-by-step explanation:

HELP PLEASE !
10 points !!

What is the slope of the function?

Answers

Answer:

the answer is -4 because the Y values are going down 4 at a time.

Find the unknown angle measure.

Answers

Answer:

54

Step-by-step explanation:

equilateral triangle= 2 angles equal

180-72=108

108/2 =54

x=54

8x^(2)+3x-18 - 6x3 + 10x2 − x − 3

Answers

Ans = Error

The value of x is unknown Therefore, it cannot be simplified.

Try giving the value of x and I will try again.

In ΔDEF, e = 2.7 inches, ∠F=49° and ∠D=58°. Find the length of f, to the nearest 10th of an inch.

Answers

Answer:2.1

Step-by-step explanation:

\text{Draw a diagram:}

Draw a diagram:

D

E

F

e = 2.7

f = ?

49°

58°

\text{A.S.A.}\rightarrow \text{Law of Sines}

A.S.A.→Law of Sines

\frac{a}{\sin A}=\frac{b}{\sin B}

sinA

a

=

sinB

b

\text{Find other angle:}

Find other angle:

\angle E=180-49-58=73^{\circ}

∠E=180−49−58=73

D

E

F

e = 2.7

f = ?

49°

58°

73°

\frac{f}{\sin 49}=\frac{2.7}{\sin 73}

sin49

f

=

sin73

2.7

f=\frac{2.7\sin 49}{\sin 73} \approx 2.131 \approx 2.1

f=

sin73

2.7sin49

≈2.131≈2.1

Two angles of a triangle measure 55° and 20° what is the measure of the third angle on a triangle

Answers

Answer:105 degrees

Step-by-step explanation: All triangles have a 180 degree to them so 55+20 is 75 AND 180 degrees - 75 gives us 105 degrees. Although I know my math is correct a picture of this triangle would be helpful

Answer:

105

Step-by-step explanation:

all the angles of a triangle must equal 180

PLEASE HELP ME ANSWER BOTH QUESTIONS WILL MARK BRAINLIEST!!!

Answers

Answer:

2034

Step-by-step explanation:

Elowen pays a total of $22.50 for every six shirts
she has dry-cleaned.

Answers

$3.75
Step-By-Step Guide
$22.50 has to be divided by 6 to get the answer.
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