How do I solve this?

How Do I Solve This?

Answers

Answer 1

The question is somewhat poorly posed because the equation doesn't involve θ at all. I assume the author meant to use x.

sec(x) = csc(x)

By definition of secant and cosecant,

1/cos(x) = 1/sin(x)

Multiply both sides by sin(x) :

sin(x)/cos(x) = sin(x)/sin(x)

As long as sin(x) ≠ 0, this reduces to

sin(x)/cos(x) = 1

By definition of tangent,

tan(x) = 1

Solve for x :

x = arctan(1) +

x = π/4 +

(where n is any integer)

In the interval 0 ≤ x ≤ 2π, you get 2 solutions when n = 0 and n = 1 of

x = π/4   or   x = 5π/4


Related Questions

Write the equation in slope-intercept form of a line is parallel to y=2x+5 and has a y-intercept of -7

Answers

Answer:

y = 2x - 7

Step-by-step explanation:

Parallel lines have the same slope so only the y-intercept is different. Therefore nothing is changed between the two equations except the y-intercept is -7.

According to the video, this career offers a good opportunity to do what?
O supervise other workers
O learn an employer's business
Obecome physically fit
Obuild friendships with customers

Answers

Answer:

The correct answer is "learn an employers business"

Step-by-step explanation:

Supervising other workers isn't their job

Becoming physically fit wouldn't help them with that job

Building friendships with customers isn't part of the job

According to the video, this career offers a good opportunity to learn an employer's business. Therefore, the correct option is option B.

What is career?

There are two definitions of a career. It's common to use the word "career" to describe a profession, occupation, trade, or vocation. The work you perform for a livelihood is defined by your job, which can range from occupations requiring substantial education and training to ones that can be performed using a high school certificate and then a desire to gain knowledge.

Work as a doctor, attorney, teacher, carpenter, veterinarian assistant, electrician, cashier, instructor, or hairstylist is an example of a career. According to the video, this career offers a good opportunity to learn an employer's business.

Therefore, the correct option is option B.

To know more about career, here:

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Find the time it takes for $6,400 to double when invested at an annual interest rate of 19%, compounded
continuously.
years
Find the time it takes for $640,000 to double when invested at an annual interest rate of 19%, compounded
continuously.
years
Give your answers accurate to 4 decimal places.
Question Holn Video M Message instructor

Answers

9514 1404 393

Answer:

  3.6481 years

Step-by-step explanation:

The doubling time is not a function of the amount invested. It can be found by considering the account balance multiplier:

  2 = e^(rt) = e^(0.19t)

Taking logs, we can solve for t:

  ln(2) = 0.19t

  t = ln(2)/0.19 ≈ 3.6481431

Rounded to 4 decimal places, the doubling time is 3.6481 years, for either balance.

Which inequality is true?
O A. 1 2 > 2
OB. 8 - T > 5
O C. 1071 > 30
O D. 1+4<7

Answers

Answer:

true

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

A

[tex]\frac{12}{2\pi }[/tex]  ≈ 1.91 < 2

B

8 - π 8 - 3.14 = 4.86 < 5

C

10π ≈ 31.42 > 30 ← True

D

π + 4 = 3.14 + 4 = 7.14 > 7

Option C is a true inequality

There are 25 peanut candies in a bowl. 4 red, 3 orange, 4 yellow, 5 green, 6 blue and 3 brown. what is the probability of randomly choosing a blue candy from the bowl?​

Answers

Answer:

6/25  or 24%

Step-by-step explanation:

Answer:

6/25, 0.24, or 24% chance

Step-by-step explanation:

Hi there!

We're given that:

⇒ There are 25 peanut candies in total

⇒ 6 out of the 25 candies are blue

To find the probability of randomly choosing a blue candy from the bowl, divide 6 by 25:

6/25 = 0.24 = 24%

I hope this helps!

Find the common ratio of the geometric sequence: 1, 1/3, 1/9, 1/27,…

Answers

Answer:

1/3

Step-by-step explanation:

Next term ÷ Previous term = common ratio

Answer:

Hello,

Answer: q=1/3

Step-by-step explanation:

[tex]u_1=1\\u_2=\dfrac{1}{3} =1*\dfrac{1}{3}\\u_3=\dfrac{1}{9}=u_2*\dfrac{1}{3}=u_1*(\dfrac{1}{3})^2\\u_4=\dfrac{1}{27}=u_3*\dfrac{1}{3}=u_1*(\dfrac{1}{3})^3\\\\Common\ ratio\ q=\dfrac{1}{3}[/tex]

Find the least whole number N so that 123+N is a perfect square.

Answers

21

12^2 = 144

144 - 123 = 21

11^2 = 121

12^2 = 144

Between these

Answered by Gauthmath must click thanks and mark brainliest

how do you change a hot air baloon descends 200 feet per minute from a altitude of 1000 feet into a algebraic expression.

Answers

y = 1000-200x where x is the number of minutes and y is the altitude of the balloon

look at the image below

Answers

Answer:

Step-by-step explanation:

hello!

(l*L *h)/3 =

(4*11* 9)/3 => 132 km³

Answer:

( I × L × H ) / 3

( 4 × 9 × 11 × ) / 3

396/3

132

I HOPE IT IS HELPFUL

find x in the following​

Answers

Answer:

i. ans in picture

ii. ans in picture

iii. ans in picture

iv. 19

v. 38

Step-by-step explanation:

i. working in picture

ii. working in picture

iii. working in picture

iv.

180-90=90

90=2x+7+45=2x+52

2x=90-52=38

x=19

v.

angle COD=3x+10

180-3x+10-2x

180+10=2x+3x

190=5x

x=38

Answer:

x = 123- 56=67x= 17x=125x=19x= 20

Step-by-step explanation:

Apply the following triangle laws:

The sum of the angles of a triangle will always be 180 degrees.

Simplify the product. 7(–9)

Answers

Hello!

Any time there is a number directly outside another in parentheses, that means multiply!

So, you must multiply 7 and -9. Remember a positive times a negative is always a negative.

7*-9= -63

Answer:-63

Hope this helped! Comment if you have questions :)

Answer:

have a great day

god is great

find the measure of the angle indicated

Answers

Answer:

Step-by-step explanation:

59°

Tina invests $3,700 into an account with a 4.4% interest that is compounded quarterly. How much money will she have in
this account if she keeps it for 8 years?
Round your answer to the nearest cent.
Do NOT round until you have calculated the final answer.

Answers

Answer:

bacoot anjing

lo siapa hah kan bisa jawab sendiri sok sok minta bantuuuu

Step-by-step explanation:

maluiiin

Answer:

$5250.96

Step-by-step explanation:

Future value= Present value(1+r)^n

=3700(1+0.011)^32

r=4.4÷100÷4

n=8×4

Two angles of a triangle have the same measure and the third one is 48 degrees greater than the measure of each of the other two. Find the measure of the LARGEST angle in the triangle.

Answers

Let the two equal angles each be x

Let the third angle be x + 48

Then ATQ

x + x + x + 48 = 180

3x + 48 = 180

3x = 180 - 48 (Angle Sum Property)

3x = 132

x = 132/3

x = 44

Now the two angles are each 44

And the largest angle = 44 + 48

= 92

Answered by Gauthmath must click thanks and mark brainliest

Largest angle in the triangle is [tex]92^{0}[/tex]

What is triangle?

"A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry."

What is angle sum property?

"Angle sum property of triangle states that the sum of interior angles of a triangle is 180°."

Let us assume the two equal angles be '[tex]x[/tex]'

According to the question,

Two equal angles = [tex]x[/tex]

Third angle = [tex]x+48^{0}[/tex]

We know the angle sum property

[tex]x+x+x+48^{0} =180^{0}[/tex]

⇒[tex]3x+48^{0}=180^{0}[/tex]

⇒[tex]3x=180^{0}-48^{0}[/tex]

⇒[tex]x=\frac{132^{0} }{3}[/tex]

⇒[tex]x=44^{0}[/tex]

Two equal angles  [tex]x[/tex] = [tex]44^{0}[/tex]

Largest Angle = [tex]44^{0} +48^{0}[/tex]

∴  Largest Angle = [tex]92^{0}[/tex]

Hence, Largest Angle = [tex]92^{0}[/tex]

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In a fruit punch drink, the 3
ingredients are apple juice, orange
juice and cranberry juice. If 1/4 of the
drink is apple juice and2/5 is orange
juice then write the ratio of
cranberry juice to apple juice to
orange juice in its simplest form.​

Answers

Answer:

question is confusing

There is a language with 12 distinct letters. How many words that are less than four letters long can possibly be formed? (Assume any combination of letters is valid and letters can be repeated). Can you help me out with this one?

Answers

Answer:

1884

Step-by-step explanation:

1)If you hear the condition "less than four letters" it means that each word can consist of 3,2 or 1 letter. Firstly, consider the easiest situation with the word from one letter. There are 12 letters, so there are 12 words from one letter.

Then the words from two letters. The first letter of such a word can be chosen in 12 means(because 12 letters are available), then the second letter can be chosen in 12 means too. 12*12=144 words with 2 letters. (Multiplying, not adding, because each two words form one combination).

Then for the words from three letters, use the same rule, 12 means for the first letter, 12 means for the second letter, 12 means for the third letter. 12*12*12=1728 words.

Having particular words from 1,2,3 letters add them to get total quantity of words: 12+144+1728=1884words,that is the answer.

3x+2y <
11 2x-y<9
Does this graph match this equation?

Answers

Answer:

No.

Step-by-step explanation:

3x+2y<11 doesn't have a y-intercept of 6 and doesn't have a x-intercept of 4.

2x-y<9 is not the same direction as 3x+2y<11.

PLEASE HELP

-6/5k=12

Show your work in details if you can, I have a hard time understanding this.

Answers

[tex]\begin{cases}\large\bf{\green{ \implies}} \tt \: - \frac{6}{5} \: k \: = \: 12 \\ \\ \large\bf{\green{ \implies}} \tt \: - \frac{6k}{5} \: = \: 12 \\ \\ \large\bf{\green{ \implies}} \tt \: - 6k \: = \: 12 \: \times \: 5 \\ \\ \large\bf{\green{ \implies}} \tt \: - 6k \: = \: 60 \\ \\ \large\bf{\green{ \implies}} \tt \: k \: = \: \cancel\frac{60}{ - 6} \\ \\ \large\bf{\green{ \implies}} \tt \: k \: = \: - 10 \end{cases}[/tex]

K=-12 that is the answer hope it helps

Eleanor scores 680 on the mathematics part of the SAT. The distribution of SAT math scores in recent years has been Normal with mean 527 and standard deviation 118.
Gerald takes the ACT Assessment mathematics test and scores 27. ACT math scores are Normally distributed with mean 20 and standard deviation 3.
1. What is Elanor's standardized score?
Round to 2 decimal places.
3. What is Gerald's standardized score?
Round to 2 decimal places.
4. Assuming that both tests measure the same kind of ability, who has the higher score?
i. Gerald.
ii. Elanor.
iii. They both did equally well.

Answers

Answer:

1. Elanor's standardized score is  1.19

2. Gerald's standardized score is 0.72

3. Elanor has higher score.

Step-by-step explanation:

To compare Elanor's and Gerald's math scores, we need to standardize them and calculate their z-scores.

z score can be calculated using the formula

z=X-M over 8 where

X is the student's score

M is the mean score of the exam

s is the standard deviation of the exam

Elanor's standardized score is:

z(e) =680-554 over 106 ≈ 1.19

         

Gerald's standardized score is:

z(g)= 27 - 24.7 over 3.2 ≈ 0.72

Since z(e) > z(g), Elanor has higher score

Write the point-slope form of an equation of the line through the points (-4, 7) and (5, 3).

Answers

Answer:

[tex]y-7=-\frac{\displaystyle 4}{\displaystyle 9}(x+4)[/tex]

OR

[tex]y-3=-\frac{\displaystyle 4}{\displaystyle 9}(x-5)[/tex]

Step-by-step explanation:

Hi there!

Point-slope form: [tex]y-y_1=m(x-x_1)[/tex] where [tex]m[/tex] is the slope and [tex](x_1,y_1)[/tex] is a point that falls on the line

1) Determine the slope (m)

[tex]m=\frac{\displaystyle y_2-y_1}{\displaystyle x_2-x_1}[/tex] where two given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug in the given points (-4, 7) and (5, 3):

[tex]m=\frac{\displaystyle 3-7}{\displaystyle 5-(-4)}\\\\m=\frac{\displaystyle 3-7}{\displaystyle 5+4}\\\\m=\frac{\displaystyle -4}{\displaystyle 9}[/tex]

Therefore, the slope of the line is [tex]-\frac{\displaystyle 4}{\displaystyle 9}[/tex]. Plug this into [tex]y-y_1=m(x-x_1)[/tex] as [tex]m[/tex]:

[tex]y-y_1=-\frac{\displaystyle 4}{\displaystyle 9}(x-x_1)[/tex]

2) Plug a point into [tex]y-y_1=-\frac{\displaystyle 4}{\displaystyle 9}(x-x_1)[/tex]

[tex]y-y_1=-\frac{\displaystyle 4}{\displaystyle 9}(x-x_1)[/tex]

Because we're given two points, there are two ways we can write this equation:

[tex]y-y_1=-\frac{\displaystyle 4}{\displaystyle 9}(x-x_1)\\\\y-7=-\frac{\displaystyle 4}{\displaystyle 9}(x-(-4))\\\\y-7=-\frac{\displaystyle 4}{\displaystyle 9}(x+4)[/tex]

OR

[tex]y-3=-\frac{\displaystyle 4}{\displaystyle 9}(x-5)[/tex]

I hope this helps!

Determine the dimension of the vector space. M4,2
STEP 1: Determine the number of linearly independent vectors needed to span M4,2. The basis for M4,2 has linearly independent vectors.
STEP 2: Using the result from Step 1, determine the dimension of M4,2.

Answers

Answer:  

STEP 1  

M_{4,2} is set of 4x2 matrices hence each matrix has 4*2=8 entries. Each entry can be filled independently.  

Hence its basis has 8 linearly independent vectors.  

STEP 2  

Dimension= cardinality of basis = 8.

Will give brainliest answer

Answers

Answer:

Step-by-step explanation:

A(1) is the amount after 1 decade.

A(0.1) is the amount after 1  year.

Every year, the amount of CO₂ increases by a factor of 1.06^(0.1) ≅ 1.0058

Researchers study the relationship between interpersonal violence and health in college age women. The selected an alpha of 0.05. The researchers examined levels of social support for abused versus non abused women. A p value of 0.19 is reported. Based on this information, you know:

Answers

Answer:

The p-value is larger than the significance level, which means that there is not enough evidence to conclude that the social support level for abused women is different of the social support level for non abused women.

Step-by-step explanation:

The researchers examined levels of social support for abused versus non abused women.

At the null hypothesis, we test if they receive the same degree of social support, that is:

[tex]H_0: \mu_A = \mu_N[/tex]

At the alternative hypothesis, we test if they receive different degrees of social support, that is:

[tex]H_1: \mu_A \neq \mu_N[/tex]

A p value of 0.19 is reported.

The p-value is larger than the significance level, which means that there is not enough evidence to conclude that the social support level for abused women is different of the social support level for non abused women.

What will be the reciprocal of 4/9 × 45/36​

Answers

Answer:

[tex]\frac{9}{5}[/tex]

Step-by-step explanation:

[tex]\frac{4}{9}[/tex] × [tex]\frac{45}{36}[/tex]

= [tex]\frac{4}{9}[/tex] × [tex]\frac{5}{4}[/tex] ( cancel 4 on numerator/ denominator )

[tex]\frac{5}{9}[/tex]

Given a number n then its reciprocal is [tex]\frac{1}{n}[/tex]

Then the reciprocal of [tex]\frac{5}{9}[/tex] is

[tex]\frac{1}{\frac{5}{9} }[/tex] = [tex]\frac{9}{5}[/tex]

(4/9)×(45/36) = (4/9)×(5/4) = 5/9
Reciprocal of 5/9 is 9/5

10-d=34-5d[tex]10-d=34-5d[/tex]

Answers

Answer:

d = 6

Step-by-step explanation:

10 - d = 34 - 5d

add d to both sides to make all the d's on one side

10 = 34 - 4d

subtract 34 from both sides to isolate the d and its coefficient

-24 = -4d

divide both sides by -4 to isolate d

d = 6

-7/3+1/2w= -9/5
What is w?

Answers

Answer:

w = 124/15 = 8 4/15

Step-by-step explanation:

[tex]-\frac{7}{3}+\frac{1}{2}w=-\frac{9}{5}\\\\\frac{1}{2}w=\frac{62}{15}\\\\w=\frac{124}{15}=8\frac{4}{15}[/tex]

HEYYYYYYYYYYYYYYY

PLEASE HELP AND BE CORRECT ANSWER AT THE BOTTOM

TELL ME WHERE TO PUT THE POINTS

Answers

Answer:

y = -3 (you have to draw an horizontal line that passes for the point (0,-3)

Step-by-step explanation:

We have to find the middle points of the segments that unite the corrispettive points.

We are lucky because the images of the points have the same x coordinate of the original ones, so we have just to find the y coordinates.

Segment CC‘

(y1 + y2)/2 = (-1-5)/2 = -3

Segment AA’

(0-6)/2 = -3

Segmet BB’

(1-7)/2 = -3

Segment DD’

(1-7)/2 = -3

In conclusion we can say that the points of the reflection have all the y coordinate equal to -3.

the line is horizontal and its equation is : y = -3

Given:
AD
diameter of Circle P.
Dec
B
A
If m < 1 = 30°, then m AB
15
30
60

Answers

Answer:

The measure of an arc is the size of the corresponding central angle, so angle 1 for AB,

Answer: B 30

Knowing that AQPT - AARZ, a congruent angle pair is:

Answers

Answer:

Angle T is congruent to Angle Z

Step-by-step explanation:

Since the 2 triangles are equal, that means that each pair of angles are also congruent. To know which angles are congruent, you check th order of how the triangles are named. Ex. Angle Q is congruent to Angle A, Angle P is congruent to Angle R, and Angle T is congruent to Angle Z.

Do this please helpppp

Answers

Answer:

y = [tex]\frac{20}{9}[/tex]

Step-by-step explanation:

Since the figures are similar then the corresponding sides are in proportion, that is

[tex]\frac{JH}{PQ}[/tex] = [tex]\frac{FM}{ST}[/tex] , substitute values

[tex]\frac{6}{4}[/tex] = [tex]\frac{7}{3y-2}[/tex] ( cross- multiply )

6(3y - 2) = 28

18y - 12 = 28 ( add 12 to both sides )

18y = 40 ( divide both sides by 18 )

y = [tex]\frac{40}{18}[/tex] = [tex]\frac{20}{9}[/tex]

Answer:

20/9

Step-by-step explanation:

since the 2 are similar,

JH/PQ = FM/ST

6/4 = 7/(3y-2)

6(3y-2) = 7*4

18y-12=28

18y = 40

y = 40/18 = 20/9 = 2 2/9

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